Excel Formulas and Functions FOR. DUMmIES. by Ken Bluttman and Peter G. Aitken

Size: px
Start display at page:

Download "Excel Formulas and Functions FOR. DUMmIES. by Ken Bluttman and Peter G. Aitken"

Transcription

1 Excel Formulas and Functions FOR DUMmIES by Ken Bluttman and Peter G. Aitken

2

3 Excel Formulas and Functions FOR DUMmIES

4

5 Excel Formulas and Functions FOR DUMmIES by Ken Bluttman and Peter G. Aitken

6 Excel Formulas and Functions For Dummies Published by Wiley Publishing, Inc. 111 River Street Hoboken, NJ Copyright 2005 by Wiley Publishing, Inc., Indianapolis, Indiana Published by Wiley Publishing, Inc., Indianapolis, Indiana Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) , fax (978) Requests to the Publisher for permission should be addressed to the Legal Department, Wiley Publishing, Inc., Crosspoint Blvd., Indianapolis, IN 46256, (317) , fax (317) , brandreview@wiley.com. Trademarks: Wiley, the Wiley Publishing logo, For Dummies, the Dummies Man logo, A Reference for the Rest of Us!, The Dummies Way, Dummies Daily, The Fun and Easy Way, Dummies.com, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates in the United States and other countries, and may not be used without written permission. All other trademarks are the property of their respective owners. Wiley Publishing, Inc., is not associated with any product or vendor mentioned in this book. LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: THE PUBLISHER AND THE AUTHOR MAKE NO REP- RESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CONTENTS OF THIS WORK AND SPECIFICALLY DISCLAIM ALL WARRANTIES, INCLUDING WITHOUT LIMITATION WARRANTIES OF FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CRE- ATED OR EXTENDED BY SALES OR PROMOTIONAL MATERIALS. THE ADVICE AND STRATEGIES CON- TAINED HEREIN MAY NOT BE SUITABLE FOR EVERY SITUATION. THIS WORK IS SOLD WITH THE UNDERSTANDING THAT THE PUBLISHER IS NOT ENGAGED IN RENDERING LEGAL, ACCOUNTING, OR OTHER PROFESSIONAL SERVICES. IF PROFESSIONAL ASSISTANCE IS REQUIRED, THE SERVICES OF A COMPETENT PROFESSIONAL PERSON SHOULD BE SOUGHT. NEITHER THE PUBLISHER NOR THE AUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM. THE FACT THAT AN ORGANIZATION OR WEBSITE IS REFERRED TO IN THIS WORK AS A CITATION AND/OR A POTENTIAL SOURCE OF FUR- THER INFORMATION DOES NOT MEAN THAT THE AUTHOR OR THE PUBLISHER ENDORSES THE INFORMATION THE ORGANIZATION OR WEBSITE MAY PROVIDE OR RECOMMENDATIONS IT MAY MAKE. FURTHER, READERS SHOULD BE AWARE THAT INTERNET WEBSITES LISTED IN THIS WORK MAY HAVE CHANGED OR DISAPPEARED BETWEEN WHEN THIS WORK WAS WRITTEN AND WHEN IT IS READ. For general information on our other products and services, please contact our Customer Care Department within the U.S. at , outside the U.S. at , or fax For technical support, please visit Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. Library of Congress Control Number: ISBN: Manufactured in the United States of America O/QU/QR/QV/IN

7 About the Authors Ken Bluttman has been working as a software developer for 15 years. Ken specializes in VB/VBA based applications, often with an emphasis on Microsoft Office. Ken has written several articles on various computer topics including Office/VBA development, XML, SQL Server, and InfoPath. His most recent book is Developing Microsoft Office Solutions. Ken lives in New York with his wife, son, and dog. Peter Aitken has been writing about computers and programming for over 10 years, with over 35 books well as hundreds of magazine and trade publication articles to his credit. His recent book titles include Powering Office 2003 With XML, Excel Programming Weekend Crash Course,.NET Graphics and Printing, Visual Basic.NET Programming With Peter Aitken, Office XP Development With VBA, XML the Microsoft Way, Windows Script Host, and Teach Yourself Visual Basic.NET Internet Programming in 21 Days.

8 Authors Acknowledgments Much activity goes on behind the scenes in bringing a book from idea to reality. Many people are involved. We wish to thank the great Wiley staff Jade Williams, Tom Heine, Elizabeth Kuball, Kerwin McKenzie, and everyone on the Production team for all their hard work! Peter G. Aitken and Ken Bluttman Thanks to co-author Peter Aitken for his contributions, insights, and suggestions. Special thanks to my family for understanding that at times sitting in front of a computer is a priority, even when it means I have to miss something special. Ken Bluttman

9 Dedication Dedicated to all the ones I love. A special appreciation for Matthew. You keep the shine in my eyes. Gayla, I am very happy we made it through a rough summer. Ken Bluttman

10 Publisher s Acknowledgments We re proud of this book; please send us your comments through our online registration form located at Some of the people who helped bring this book to market include the following: Acquisitions, Editorial, and Media Development Project Editor: Jade L. Williams Acquisitions Editor: Tom Heine Copy Editor: Elizabeth Kuball Technical Editor: Kerwin McKenzie Editorial Manager: Robyn Siesky Media Development Supervisor: Richard Graves Editorial Assistant: Adrienne Porter Cartoons: Rich Tennant ( Composition Project Coordinator: Nancee Reeves Layout and Graphics: Carl Byers, Andrea Dahl, Lauren Goddard, Barry Offringa, Julie Trippetti Proofreaders: Laura Albert, Leeann Harney, Jessica Kramer, Carl Pierce, TECHBOOKS Production Services Indexer: TECHBOOKS Production Services Special Help: Microsoft Corporation Publishing and Editorial for Technology Publishing Richard Swadley, Vice President and Executive Group Publisher Barry Pruett, Vice President and Publisher, Visual/Web Graphics Andy Cummings, Vice President and Publisher, Technology Dummies Mary Bednarek, Executive Acquisitions Director, Technology Dummies Mary C. Corder, Editorial Director, Technology Dummies Publishing for Consumer Dummies Diane Graves Steele, Vice President and Publisher Joyce Pepple, Acquisitions Director Composition Services Gerry Fahey, Vice President of Production Services Debbie Stailey, Director of Composition Services

11 Contents at a Glance Introduction...1 Part I: Getting Started with Excel Formulas and Functions...7 Chapter 1: Understanding Fundamentals, Formulas, and Functions...9 Chapter 2: Saving Time with the Insert Function Dialog Box...41 Chapter 3: Understanding Array Formulas and Functions...53 Chapter 4: Correcting Formulas...63 Part II: Evaluating Loans and Investments...79 Chapter 5: Calculating Loan Payments and Interest Rates...81 Chapter 6: Performing Advanced Financial Calculations...97 Part III: Working with Numbers Chapter 7: Using Math Functions to Figure Basic Math Answers Chapter 8: Getting More Advanced with Math Chapter 9: Using Descriptive Statistical Functions Chapter 10: Using Significance Tests Chapter 11: Using Prediction and Probability Functions Part IV: Working with Data Chapter 12: Working with Date Functions Chapter 13: Keeping Track with Time Functions Chapter 14: Using Lookup, Logical, and Reference Functions Chapter 15: Working with Information Functions Chapter 16: Working with Text Functions Chapter 17: Summarizing Data with Database Functions Part V: The Part of Tens Chapter 18: Ten + One Great Tips for Working with Formulas Chapter 19: Top Ten Functions You Must Know to Be an Excel Guru Chapter 20: Ten Cool Things to Do with the Analysis ToolPak Add-In Index...367

12

13 Table of Contents Introduction...1 About This Book...1 How to Use This Book...2 What You Can Safely Ignore...2 Foolish Assumptions...2 How This Book Is Organized...3 Part I: Getting Started with Excel Formulas and Functions...3 Part II: Evaluating Loans and Investments...3 Part III: Working with Numbers...3 Part IV: Working with Data...4 Part V: The Part of Tens...4 Icons Used in This Book...4 Where to Go from Here...5 Part I: Getting Started with Excel Formulas and Functions...7 Chapter 1: Understanding Fundamentals, Formulas, and Functions Working with Excel Fundamentals...10 Understanding workbooks and worksheets...10 Working with rows, columns, cells, and ranges...13 Formatting your data...18 Getting help...20 Gaining the Upper Hand on Formulas...21 Entering your first formula...22 Understanding references...23 Copying formulas with the fill handle...25 Assembling formulas the right way...27 Using Functions in Formulas...29 Looking at what goes into a function...30 Discovering usages of a function s arguments...31 Nesting functions...35 Using array functions...37 Chapter 2: Saving Time with the Insert Function Dialog Box Getting Familiar with the Insert Function Dialog Box...41 Finding the Correct Function...43

14 xii Excel Formulas and Functions For Dummies Entering Functions Using the Insert Function Dialog Box...44 Selecting a function that takes no arguments...45 Selecting a function that takes arguments...47 Entering cell and range references as function arguments...49 Getting Help while Using the Insert Function Dialog Box...52 Using the Function Arguments Dialog Box to Edit Functions...52 Chapter 3: Understanding Array Formulas and Functions Discovering Arrays...53 Using Arrays in Formulas...55 Working with Functions That Return Arrays...58 Chapter 4: Correcting Formulas Catching Errors as They re Entered...63 Getting parentheses to match...64 Avoiding circular references...66 Mending broken links...67 Using the formula error checker...70 Auditing Formulas...72 Part II: Evaluating Loans and Investments...79 Chapter 5: Calculating Loan Payments and Interest Rates Understanding How Excel Handles Money...82 Going with the cash flow...82 Formatting for dollars...82 Choosing your separators...84 Figuring the Numbers on Your Loans...85 Calculating loan payments with PMT...86 Using IPMT to calculate interest payments...87 Using PPMT to calculate payments toward principal...89 Calculating the number of payments with NPER...91 Using RATE to calculate the interest rate...92 Using PV to calculate the principal on a loan...94 Chapter 6: Performing Advanced Financial Calculations Looking into the Future with FV...97 Depreciating the Finer Things in Life Calculating straight line depreciation Using the SYD function for accelerated depreciation Creating an accelerated depreciation schedule with the DDB function Calculating a depreciation schedule that starts in the middle of a year Measuring Your Internals...107

15 Table of Contents xiii Part III: Working with Numbers Chapter 7: Using Math Functions to Figure Basic Math Answers Adding It All Together with the SUM Function Rounding Out Your Knowledge of Rounding Functions Just plain old rounding Rounding in one direction Leaving All the Decimals Behind with the INT Function Leaving Some of the Decimals behind with the TRUNC Function Looking for a Sign Ignoring Signs Chapter 8: Getting More Advanced with Math Using the PI Function to Calculate Circumference and Diameter Generating and Using Random Numbers Determining the Ways Items Can Be Ordered Combining Items with the COMBIN Function Raising Numbers to New Heights with the POWER Function Multiplying Multiple Numbers with the PRODUCT function Using SUMPRODUCT to Multiply and Sum Positional Values in One Step Using What Remains with the MOD Function Getting Just the Answer You Need with SUBTOTAL Using SUMIF to Tally Only What s Needed Chapter 9: Using Descriptive Statistical Functions Deciding Where the Middle Is with AVERAGE, MEDIAN, and MODE Deviating from the Middle Measuring variance Analyzing deviations Comparing sets of data for similarity Putting Numbers Where They Belong Going for the Count Chapter 10: Using Significance Tests Testing to the T Comparing Results to an Estimate Chapter 11: Using Prediction and Probability Functions Getting It Straight: Using SLOPE and INTERCEPT to Describe Linear Data What s in the Future: Using FORECAST, TREND, and GROWTH to Make Predictions Using NORMDIST and POISSON to Determine Probabilities...210

Visual Basic 2008 FOR. DUMmIES. by Bill Sempf

Visual Basic 2008 FOR. DUMmIES. by Bill Sempf Visual Basic 2008 FOR DUMmIES by Bill Sempf Visual Basic 2008 FOR DUMmIES Visual Basic 2008 FOR DUMmIES by Bill Sempf Visual Basic 2008 For Dummies Published by Wiley Publishing, Inc. 111 River Street

More information

Jeff Duntemann. Assembly Language. Programming with Linux. Step by Step THIRD EDITION

Jeff Duntemann. Assembly Language. Programming with Linux. Step by Step THIRD EDITION Jeff Duntemann Assembly Language Step by Step Programming with Linux THIRD EDITION Assembly Language Step-by-Step Assembly Language Step-by-Step Programming with Linux Third Edition Jeff Duntemann Wiley

More information

ebay For Seniors Learn to: Marsha Collier Making Everything Easier! Get your own ebay account for buying and selling

ebay For Seniors Learn to: Marsha Collier Making Everything Easier! Get your own ebay account for buying and selling Making Everything Easier! ebay For Seniors Learn to: Get your own ebay account for buying and selling Shop for the best deals and avoid scams Bolster your income by selling items on ebay Pack items for

More information

Join the p2p.wrox.com. Wrox Programmer to Programmer. Beginning. Python. Using Python 2.6 and Python 3.1. James Payne

Join the p2p.wrox.com. Wrox Programmer to Programmer. Beginning. Python. Using Python 2.6 and Python 3.1. James Payne Join the discussion @ p2p.wrox.com Wrox Programmer to Programmer Beginning Python Using Python 2.6 and Python 3.1 James Payne Programmer to Programmer Get more out of wrox.com Interact Take an active role

More information

TELLING STORIES A SHORT PATH TO WRITING BETTER SOFTWARE REQUIREMENTS

TELLING STORIES A SHORT PATH TO WRITING BETTER SOFTWARE REQUIREMENTS TELLING STORIES A SHORT PATH TO WRITING BETTER SOFTWARE REQUIREMENTS BEN RINZLER Telling Stories Telling Stories A Short Path to Writing Better Software Requirements Ben Rinzler Telling Stories Published

More information

Tumblr FOR PORTABLE EDITION

Tumblr FOR PORTABLE EDITION Tumblr FOR DUMmIES PORTABLE EDITION Tumblr FOR DUMmIES PORTABLE EDITION by Sue Jenkins Tumblr For Dummies, Portable Edition Published by John Wiley & Sons, Inc. 111 River Street Hoboken, NJ 07030-5774

More information

Arabic. DUMmIES. by Amine Bouchentouf FOR

Arabic. DUMmIES. by Amine Bouchentouf FOR Arabic FOR DUMmIES by Amine Bouchentouf Arabic FOR DUMmIES by Amine Bouchentouf Arabic For Dummies Published by Wiley Publishing, Inc. 111 River St. Hoboken, NJ 07030-5774 www.wiley.com Copyright 2006

More information

New. On Smith s A Tree Grows in Brooklyn. Over 300 Titles Available and 100 Million Sold. 24-hour-a-day downloads at cliffsnotes.

New. On Smith s A Tree Grows in Brooklyn. Over 300 Titles Available and 100 Million Sold. 24-hour-a-day downloads at cliffsnotes. The Best New Just Got Bet ter On Smith s A Tree Grows in Brooklyn Over 300 Titles Available and 100 Million Sold 24-hour-a-day downloads at cliffsnotes.com On Smith s A Tree Grows in Brooklyn By Sheri

More information

Digital Filmmaking For Kids

Digital Filmmaking For Kids Digital Filmmaking For Kids Digital Filmmaking For Kids by Nick Willoughby Digital Filmmaking For Kids For Dummies Published by: John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030 5774, www.wiley.com

More information

Math For Real Life FOR

Math For Real Life FOR Math For Real Life FOR DUMmIES Math For Real Life FOR DUMmIES by Barry Schoenborn Math For Real Life For Dummies Published by John Wiley & Sons, Inc. 111 River St. Hoboken, NJ 07030-5774 www.wiley.com

More information

SharePoint 2010 BOOKS. Microsoft. Emer McKenna Kevin Laahs Veli-Matti Vanamo. Making Everything Easier!

SharePoint 2010 BOOKS. Microsoft. Emer McKenna Kevin Laahs Veli-Matti Vanamo. Making Everything Easier! Making Everything Easier! Microsoft SharePoint 2010 A L L - I N - O N E 4 BOOKS IN 1 Introduction to SharePoint Architecture and Planning Managing Services Using the SharePoint Services Emer McKenna Kevin

More information

Home Staging. DUMmIES

Home Staging. DUMmIES Home Staging FOR DUMmIES by Christine Rae and Jan Saunders Maresh Home Staging For Dummies Published by Wiley Publishing, Inc. 111 River St. Hoboken, NJ 07030-5774 www.wiley.com Copyright 2008 by Wiley

More information

Do s and Don ts to Protect Your Financial Life BEN STEIN

Do s and Don ts to Protect Your Financial Life BEN STEIN $ of THE LITTLE BOOK BULLETPROOF INVESTING Do s and Don ts to Protect Your Financial Life BEN STEIN & PHIL DEMUTH New York Times Bestselling s e l Authors Additional Praise for The Little Book of Bulletproof

More information

Learn to: Paulina Christensen, PhD Anne Fox Wendy Foster. 2nd Edition

Learn to: Paulina Christensen, PhD Anne Fox Wendy Foster. 2nd Edition g Easier! Making Everythin n a m r e G Learn to: Speak German quickly and effectively Master basic grammar, verb conjugations, vocabulary, and pronunciations Take your skills to the next level with real-life

More information

11 BOOKS. Starting an Online Business. Making Everything Easier! 2nd Edition. Inside your Google AdWords gift card worth $25

11 BOOKS. Starting an Online Business. Making Everything Easier! 2nd Edition. Inside your Google AdWords gift card worth $25 Making Everything Easier! 2nd Edition Starting an Online Business A L L - I N - O N E 11 BOOKS IN 1 Online Business Basics Legal and Accounting Web Site Design Online and Operating Internet Security Boosting

More information

ISBN-13. Everything you need to know about the ISBN-13 transition. The Book Industry Study Group, Inc. Brought to you by.

ISBN-13. Everything you need to know about the ISBN-13 transition. The Book Industry Study Group, Inc. Brought to you by. Brought to you by The Book Industry Study Group, Inc. ISBN-13 Everything you need to know about the ISBN-13 transition Special Edition FREE etips at dummies.com ISBN-13 FOR DUMmIES SPECIAL EDITION Edited

More information

HYPNOTIC WRITING How to Seduce and Persuade Customers with Only Your Words JOE VITALE John Wiley & Sons, Inc.

HYPNOTIC WRITING How to Seduce and Persuade Customers with Only Your Words JOE VITALE John Wiley & Sons, Inc. HYPNOTIC WRITING How to Seduce and Persuade Customers with Only Your Words JOE VITALE John Wiley & Sons, Inc. The principles of hypnosis when applied to copywriting add a new spin to selling. Joe Vitale

More information

Visual Guide to Elliott Wave Trading

Visual Guide to Elliott Wave Trading Visual Guide to Elliott Wave Trading Since 1996, Bloomberg Press has published books for finance professionals on investing, economics, and policy affecting investors. Titles are written by leading practitioners

More information

Smart Homes. DUMmIES 3RD EDITION. by Danny Briere and Pat Hurley FOR

Smart Homes. DUMmIES 3RD EDITION. by Danny Briere and Pat Hurley FOR Smart Homes FOR DUMmIES 3RD EDITION by Danny Briere and Pat Hurley Smart Homes FOR DUMmIES 3RD EDITION Smart Homes FOR DUMmIES 3RD EDITION by Danny Briere and Pat Hurley Smart Homes For Dummies, 3rd

More information

Excel Microsoft. Learn to: Greg Harvey, PhD Bestselling author of Excel All-in-One For Dummies. Making Everything Easier!

Excel Microsoft. Learn to: Greg Harvey, PhD Bestselling author of Excel All-in-One For Dummies. Making Everything Easier! Making Everything Easier! Microsoft Excel 2010 Learn to: Create and edit worksheets, format cells, and enter formulas Add data tables and sort and filter records Create powerful charts with graphics Share

More information

ANN HANDLEY AND C.C. CHAPMAN

ANN HANDLEY AND C.C. CHAPMAN HOW TO CREATE KILLER BLOGS, PODCASTS, VIDEOS, E-BOOKS, WEBINARS (AND MORE) THAT ENGAGE CUSTOMERS AND IGNITE YOUR BUSINESS Revised and Updated ANN HANDLEY AND C.C. CHAPMAN Copyright 2012 by Ann Handley

More information

Jeremy Baras

Jeremy Baras Jeremy Baras Cover design and art: Wiley Copyright 2016 by Jeremy Baras. All rights reserved. Published by John Wiley & Sons, Inc., Hoboken, New Jersey. Published simultaneously in Canada. No part of this

More information

my lie MEREDITH MARAN A True Story of False Memory Best-selling author of What It s Like to Live Now and Class Dismissed

my lie MEREDITH MARAN A True Story of False Memory Best-selling author of What It s Like to Live Now and Class Dismissed A shockingly honest, stunningly nuanced book. Every parent, and everyone who has a parent, should read this searing father-daughter story. my lie AYELET WALDMAN, author of Bad Mother A True Story of False

More information

SAMPLE LESSON BUY EBOOK NOW. Learn to Read Music! Buy Ebook NOW 1

SAMPLE LESSON BUY EBOOK NOW. Learn to Read Music! Buy Ebook NOW 1 SAMPLE LESSON BUY EBOOK NOW Learn to Read Music! Buy Ebook NOW 1 INTRODUCTION Let s do this theory thing in a new way I love music! I love playing it, composing it and teaching it! Music has such a mysterious

More information

SURVEYING (VOLUME II)

SURVEYING (VOLUME II) SURVEYING (VOLUME II) SURVEYING (VOLUME II) By Dr. Formerly, Professor and Head, Deptt. of Civil Engineering, & Dean, Faculty of Engineering M.B.M. Engineering College, Jodhpur Er. ASHOK KUMAR JAIN Director,

More information

Microsoft EXCEL 2010 COMPREHENSIVE

Microsoft EXCEL 2010 COMPREHENSIVE Microsoft EXCEL 2010 COMPREHENSIVE Microsoft EXCEL 2010 COMPREHENSIVE Gary B. Shelly Jeffrey J. Quasney Steven M. Freund Raymond E. Enger Mali B. Jones Australia Brazil Japan Korea Mexico Singapore Spain

More information

Declutter Your Life How Outer Order Leads to Inner Calm

Declutter Your Life How Outer Order Leads to Inner Calm Declutter Your Life Declutter Your Life How Outer Order Leads to Inner Calm Gill Hasson This edition first published 2018 2018 Gill Hasson Registered office John Wiley & Sons Ltd, The Atrium, Southern

More information

The Tudors. Learn about: Tudor life and times and how they shaped the Britain of today. David Loades. Mei Trow. Making Everything Easier!

The Tudors. Learn about: Tudor life and times and how they shaped the Britain of today. David Loades. Mei Trow. Making Everything Easier! Making Everything Easier! The Tudors Learn about: Tudor life and times and how they shaped the Britain of today Henry VIII and his unlucky wives The turbulent private and political life of Elizabeth I

More information

Blueline, Linefree, Accuracy Ratio, & Moving Absolute Mean Ratio Charts

Blueline, Linefree, Accuracy Ratio, & Moving Absolute Mean Ratio Charts INTRODUCTION This instruction manual describes for users of the Excel Standard Celeration Template(s) the features of each page or worksheet in the template, allowing the user to set up and generate charts

More information

Enjoy Writing. your Science Thesis or Dissertation!

Enjoy Writing. your Science Thesis or Dissertation! Enjoy Writing your Science Thesis or Dissertation! 2nd Edition A step-by-step guide to planning and writing a thesis or dissertation for undergraduate and graduate science students This page intentionally

More information

JOSHI s Process Equipment Design

JOSHI s Process Equipment Design JOSHI s Process Equipment Design JOSHI s Process Equipment Design Fifth Edition Fifth Edition V V Mahajani S B Umarji (An Imprint of Laxmi Publications Pvt. Ltd.) BANGALORE CHENNAI COCHIN GUWAHATI HYDERABAD

More information

3DTV CONTENT CAPTURE, ENCODING AND TRANSMISSION

3DTV CONTENT CAPTURE, ENCODING AND TRANSMISSION 3DTV CONTENT CAPTURE, ENCODING AND TRANSMISSION BUILDING THE TRANSPORT INFRASTRUCTURE FOR COMMERCIAL SERVICES Daniel Minoli A JOHN WILEY & SONS, INC., PUBLICATION 3DTV CONTENT CAPTURE, ENCODING AND TRANSMISSION

More information

What s New in Visual FoxPro 7.0

What s New in Visual FoxPro 7.0 What s New in Visual FoxPro 7.0 Tamar E. Granor Doug Hennig Kevin McNeish Hentzenwerke Publishing Published by: Hentzenwerke Publishing 980 East Circle Drive Whitefish Bay WI 53217 USA Hentzenwerke Publishing

More information

Being Agile. Your Roadmap to Successful Adoption of Agile. Mario E. Moreira

Being Agile. Your Roadmap to Successful Adoption of Agile. Mario E. Moreira Being Agile Your Roadmap to Successful Adoption of Agile Mario E. Moreira Being Agile: Your Roadmap to Successful Adoption of Agile Copyright 2013 by Mario E. Moreira This work is subject to copyright.

More information

Key Maths Facts to Memorise Question and Answer

Key Maths Facts to Memorise Question and Answer Key Maths Facts to Memorise Question and Answer Ways of using this booklet: 1) Write the questions on cards with the answers on the back and test yourself. 2) Work with a friend to take turns reading a

More information

Environmental Impact of Fertilizer on Soil and Water

Environmental Impact of Fertilizer on Soil and Water Downloaded via 148.251.232.83 on September 20, 2018 at 22:17:58 (UTC). See https://pubs.acs.org/sharingguidelines for options on how to legitimately share published articles. Environmental Impact of Fertilizer

More information

Little Book Big Profits Series

Little Book Big Profits Series THE LITTLE BOOK of Market Wizards Little Book Big Profits Series In the Little Book Big Profits series, the brightest icons in the financial world write on topics that range from tried-and-true investment

More information

Songwriting. Learn to: Making Everything Easier! 2nd Edition. Jim Peterik. Dave Austin. Cathy Lynn

Songwriting. Learn to: Making Everything Easier! 2nd Edition. Jim Peterik. Dave Austin. Cathy Lynn Making Everything Easier! 2nd Edition Songwriting Learn to: Develop your songwriting skills with tips and techniques from the pros Use social networking sites to get your music out to the public Break

More information

AWWA Publishing Preliminary Questionnaire for All Proposed Acquisitions

AWWA Publishing Preliminary Questionnaire for All Proposed Acquisitions 6666 West Quincy Avenue Denver, CO 80235-3098 T 303.794.7711 www.awwa.org AWWA Publishing Preliminary Questionnaire for All Proposed Acquisitions Date initiated Date completed Prepared by Approved by Date

More information

Algebra I Module 2 Lessons 1 19

Algebra I Module 2 Lessons 1 19 Eureka Math 2015 2016 Algebra I Module 2 Lessons 1 19 Eureka Math, Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may be reproduced, distributed, modified, sold,

More information

THE ORGANIZATIONAL ALIGNMENT HANDBOOK. A Catalyst for Performance Acceleration

THE ORGANIZATIONAL ALIGNMENT HANDBOOK. A Catalyst for Performance Acceleration THE ORGANIZATIONAL ALIGNMENT HANDBOOK A Catalyst for Performance Acceleration This page intentionally left blank THE ORGANIZATIONAL ALIGNMENT HANDBOOK A Catalyst for Performance Acceleration H. James Harrington

More information

Non-Fiction Self-Help Book Template

Non-Fiction Self-Help Book Template Non-Fiction Self-Help Book Template A few notes about this template: 1. This template is designed with 1-inch margins, 1.5 spacing and standard Times 12-point font. These specifications are preferred by

More information

Instruction Guide February 2017

Instruction Guide February 2017 Instruction Guide February 2017 3M Instruction Guide: 3M TM Locator Plate 3443-81-XX, 3D-Printed Instructions for the assembly of 3M TM Ribbon Cable Wiremount Socket Assembly, 451 Series 1.0 General 1.1

More information

AP Statistics Sampling. Sampling Exercise (adapted from a document from the NCSSM Leadership Institute, July 2000).

AP Statistics Sampling. Sampling Exercise (adapted from a document from the NCSSM Leadership Institute, July 2000). AP Statistics Sampling Name Sampling Exercise (adapted from a document from the NCSSM Leadership Institute, July 2000). Problem: A farmer has just cleared a field for corn that can be divided into 100

More information

American Chemical Society Publication Guidelines

American Chemical Society Publication Guidelines American Chemical Society Publication Guidelines TITLE. The title should accurately, clearly, and concisely reflect the emphasis and content of the paper. The title must be brief and grammatically correct

More information

Guide to InTouch HMI Documentation Invensys Systems, Inc.

Guide to InTouch HMI Documentation Invensys Systems, Inc. Guide to InTouch HMI Documentation Invensys Systems, Inc. Revision A Last Revision: 6/5/07 Copyright 2007 Invensys Systems, Inc. All Rights Reserved. All rights reserved. No part of this documentation

More information

Statistics Ii For Dummies

Statistics Ii For Dummies STATISTICS II FOR DUMMIES PDF - Are you looking for statistics ii for dummies Books? Now, you will be happy that at this time statistics ii for dummies PDF is available at our online library. With our

More information

WORKSHOP GUIDELINES Casting Director Workshops USE OF THESE GUIDELINES IS FOR GUIDANCE ONLY. IT DOES NOT CONSTITUTE CGA ENDORSEMENT OF ANY WORKSHOP

WORKSHOP GUIDELINES Casting Director Workshops USE OF THESE GUIDELINES IS FOR GUIDANCE ONLY. IT DOES NOT CONSTITUTE CGA ENDORSEMENT OF ANY WORKSHOP WORKSHOP GUIDELINES Casting Director Workshops USE OF THESE GUIDELINES IS FOR GUIDANCE ONLY. IT DOES NOT CONSTITUTE CGA ENDORSEMENT OF ANY WORKSHOP Overall: It is of significant concern to the CGA members

More information

New ILS Data Delivery Guidelines

New ILS Data Delivery Guidelines New ILS Data Delivery Guidelines CONFIDENTIAL INFORMATION The information herein is the property of Ex Libris Ltd. or its affiliates and any misuse or abuse will result in economic loss. DO NOT COPY UNLESS

More information

Record your answers and work on the separate answer sheet provided.

Record your answers and work on the separate answer sheet provided. MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually.

More information

Teaching and the Internet: The Application of Web Apps, Networking, and Online Tech for Chemistry Education

Teaching and the Internet: The Application of Web Apps, Networking, and Online Tech for Chemistry Education Downloaded via 148.251.232.83 on November 7, 2018 at 11:19:13 (UTC). See https://pubs.acs.org/sharingguidelines for options on how to legitimately share published articles. Teaching and the Internet: The

More information

Frequencies. Chapter 2. Descriptive statistics and charts

Frequencies. Chapter 2. Descriptive statistics and charts An analyst usually does not concentrate on each individual data values but would like to have a whole picture of how the variables distributed. In this chapter, we will introduce some tools to tabulate

More information

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level

UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level *0192736882* STATISTICS 4040/12 Paper 1 October/November 2013 Candidates answer on the question paper.

More information

OLED Lighting: A review of the patent landscape Published: 2011-Q3

OLED Lighting: A review of the patent landscape Published: 2011-Q3 Patents Research Report OLED Lighting Patents : A review of the landscape Craig Cruickshank October 2009 2011 OLED Lighting: A review of the patent landscape Published: 2011-Q3 cintelliq Limited St. John

More information

Publishing with University of Manitoba Press

Publishing with University of Manitoba Press A Guide for Authors University of Manitoba Press is dedicated to producing books that combine important new scholarship with a deep engagement in issues and events that affect our lives. Founded in 1967,

More information

Essential Excel A Step-by-Step Guide. David Slager

Essential Excel A Step-by-Step Guide. David Slager Essential Excel 2016 A Step-by-Step Guide David Slager Essential Excel 2016: A Step-by-Step Guide David Slager Fort Wayne, Indiana USA ISBN-13 (pbk): 978-1-4842-2160-0 ISBN-13 (electronic): 978-1-4842-2161-7

More information

NPOWER VIDEO ON DEMAND REPORT GUIDE SUMMER 2013

NPOWER VIDEO ON DEMAND REPORT GUIDE SUMMER 2013 NPOWER VIDEO ON DEMAND REPORT GUIDE SUMMER 2013 VIDEO ON DEMAND Today s TV landscape allows networks to distribute their program content on multiple platforms, including traditional TV, on-demand and digital

More information

This is a licensed product of AM Mindpower Solutions and should not be copied

This is a licensed product of AM Mindpower Solutions and should not be copied 1 TABLE OF CONTENTS 1. The US Theater Industry Introduction 2. The US Theater Industry Size, 2006-2011 2.1. By Box Office Revenue, 2006-2011 2.2. By Number of Theatres and Screens, 2006-2011 2.3. By Number

More information

Chapter Author Instructions

Chapter Author Instructions Chapter Author Instructions Please submit to the Editor: A) Microsoft Word versions of: 1. Chapter Abstract 2. Chapter laid out as follows: 2.1 Title Page 2.2 Chapter Table of Contents 2.3 Chapter Text

More information

Publish or Perish: Scheduling Challenges in the Publishing Industry. Matthew J. Drake with Beate Klingenberg and David Gavin, Marist College

Publish or Perish: Scheduling Challenges in the Publishing Industry. Matthew J. Drake with Beate Klingenberg and David Gavin, Marist College Publish or Perish: Scheduling Challenges in the Publishing Industry Matthew J. Drake with Beate Klingenberg and David Gavin, Marist College Vice President, Publisher: Tim Moore Associate Publisher and

More information

Wonderware Guide to InTouch HMI Documentation

Wonderware Guide to InTouch HMI Documentation Wonderware Guide to InTouch HMI Documentation 10/29/15 All rights reserved. No part of this documentation shall be reproduced, stored in a retrieval system, or transmitted by any means, electronic, mechanical,

More information

Version : 1.0: klm. General Certificate of Secondary Education November Higher Unit 1. Final. Mark Scheme

Version : 1.0: klm. General Certificate of Secondary Education November Higher Unit 1. Final. Mark Scheme Version : 1.0: 11.10 klm General Certificate of Secondary Education November 2010 Mathematics Higher Unit 1 43601H Final Mark Scheme Mark schemes are prepared by the Principal Examiner and considered,

More information

AP English Literature & Composition

AP English Literature & Composition AP English Literature & Composition FOR DUMmIES by Geraldine Woods AP English Literature & Composition For Dummies Published by Wiley Publishing, Inc. 111 River St. Hoboken, NJ 07030-5774 www.wiley.com

More information

Epoxy Resin Chemistry II

Epoxy Resin Chemistry II Downloaded via 148.251.232.83 on July 19, 2018 at 09:06:45 (UTC). See https://pubs.acs.org/sharingguidelines for options on how to legitimately share published articles. Epoxy Resin Chemistry II Epoxy

More information

What is Statistics? 13.1 What is Statistics? Statistics

What is Statistics? 13.1 What is Statistics? Statistics 13.1 What is Statistics? What is Statistics? The collection of all outcomes, responses, measurements, or counts that are of interest. A portion or subset of the population. Statistics Is the science of

More information

Feng Shui. DUMmIES 2ND EDITION. by David Daniel Kennedy FOR. Foreword by His Holiness Grandmaster Professor Lin Yun

Feng Shui. DUMmIES 2ND EDITION. by David Daniel Kennedy FOR. Foreword by His Holiness Grandmaster Professor Lin Yun Feng Shui FOR DUMmIES 2ND EDITION by David Daniel Kennedy Foreword by His Holiness Grandmaster Professor Lin Yun Feng Shui For Dummies, 2nd Edition Published by Wiley Publishing, Inc. 111 River St. Hoboken,

More information

Radiology for Undergraduate Finals and Foundation Years

Radiology for Undergraduate Finals and Foundation Years MasterPass Radiology for Undergraduate Finals and Foundation Years key topics and question types Tristan Barrett, Nadeem Shaida and Ashley Shaw Foreword by Adrian K Dixon Radiology for Undergraduate Finals

More information

Chemistry For Dummies

Chemistry For Dummies Chemistry For Free PDF ebook Download: Chemistry For Download or Read Online ebook chemistry for dummies in PDF Format From The Best User Guide Database the Rest of Us!, The Way, Daily, The Fun and Easy

More information

Move & Store Cart CONTENTS. Assembly Instructions

Move & Store Cart CONTENTS. Assembly Instructions Assembly Instructions Move & Store Cart CONTENTS Safety Precautions.................................. 2 Warranty.......................................... 2 Important User Information............................

More information

ESSAY WRITING KIT ONE CLASS, ONE TEACHER LICENSE. By: STEVAN KRAJNJAN THIS BOOK BELONGS TO:

ESSAY WRITING KIT ONE CLASS, ONE TEACHER LICENSE. By: STEVAN KRAJNJAN THIS BOOK BELONGS TO: ONE CLASS, ONE TEACHER LICENSE ESSAY WRITING KIT By: STEVAN KRAJNJAN THIS BOOK BELONGS TO: INTERACTIVE VERSION! - Students type directly onto the forms and save. Writing essays can be frustrating and exasperating

More information

ivw-fd122 Video Wall Controller MODEL: ivw-fd122 Video Wall Controller Supports 2 x 2 Video Wall Array User Manual Page i Rev. 1.

ivw-fd122 Video Wall Controller MODEL: ivw-fd122 Video Wall Controller Supports 2 x 2 Video Wall Array User Manual Page i Rev. 1. MODEL: ivw-fd122 Video Wall Controller Supports 2 x 2 Video Wall Array User Manual Rev. 1.01 Page i Copyright COPYRIGHT NOTICE The information in this document is subject to change without prior notice

More information

Getting the Most from Alma. Patron Driven Acquisitions (PDA)

Getting the Most from Alma. Patron Driven Acquisitions (PDA) Getting the Most from Alma Patron Driven Acquisitions (PDA) CONFIDENTIAL INFORMATION The information herein is the property of Ex Libris Ltd. or its affiliates and any misuse or abuse will result in economic

More information

ELECTRIC POWER SYSTEMS

ELECTRIC POWER SYSTEMS ELECTRIC POWER SYSTEMS BOOKS IN THE IEEE PRESS SERIES ON POWER ENGINEERING Analysis of Faulted Power Systems P. M. Anderson 1995 Hardcover 536pp 0-7803-1145-0 Subsynchronous Resonance in Power Systems

More information

abc Mark Scheme Statistics 3311 General Certificate of Secondary Education Higher Tier 2007 examination - June series

abc Mark Scheme Statistics 3311 General Certificate of Secondary Education Higher Tier 2007 examination - June series abc General Certificate of Secondary Education Statistics 3311 Higher Tier Mark Scheme 2007 examination - June series Mark schemes are prepared by the Principal Examiner and considered, together with the

More information

Statistics For Dummies PDF

Statistics For Dummies PDF Statistics For Dummies PDF Statistics For Dummies, 2nd Edition (9781119293521) was previously published as Statistics For Dummies, 2nd Edition (9780470911082). While this version features a new Dummies

More information

DESIGNING MEMS MICROPHONES FROM CONCEPT TO FINISHED GDSII IN ABOUT TWO WEEKS

DESIGNING MEMS MICROPHONES FROM CONCEPT TO FINISHED GDSII IN ABOUT TWO WEEKS DESIGNING MEMS MICROPHONES FROM CONCEPT TO FINISHED GDSII IN ABOUT TWO WEEKS A M S D E S I G N & V E R I F I C A T I O N C A S E S T U D Y w w w. m e n t o r. c o m ABOUT THE MEMS MICROPHONE MARKET Knowles

More information

Non-Fiction Kindle/E-Book Template

Non-Fiction Kindle/E-Book Template Non-Fiction Kindle/E-Book Template A few notes about this template: 1. This template is designed with 1-inch margins, 1.5 spacing and standard Times 12-point font. These specifications are preferred by

More information

ECONOMICS 351* -- INTRODUCTORY ECONOMETRICS. Queen's University Department of Economics. ECONOMICS 351* -- Winter Term 2005 INTRODUCTORY ECONOMETRICS

ECONOMICS 351* -- INTRODUCTORY ECONOMETRICS. Queen's University Department of Economics. ECONOMICS 351* -- Winter Term 2005 INTRODUCTORY ECONOMETRICS Queen's University Department of Economics ECONOMICS 351* -- Winter Term 2005 INTRODUCTORY ECONOMETRICS Winter Term 2005 Instructor: Web Site: Mike Abbott Office: Room A521 Mackintosh-Corry Hall or Room

More information

Journal of Material Science and Mechanical Engineering (JMSME)

Journal of Material Science and Mechanical Engineering (JMSME) II Journal of Material Science and Mechanical Engineering (JMSME) Website: http://www.krishisanskriti.org/jmsme.html Aims and Scope: Journal of Material Science and Mechanical Engineering (JMSME) (Print

More information

Author Instructions for Environmental Control in Biology

Author Instructions for Environmental Control in Biology Author Instructions for Environmental Control in Biology Environmental Control in Biology, an international journal published by the Japanese Society of Agricultural, Biological and Environmental Engineers

More information

See for options on how to legitimately share published articles.

See   for options on how to legitimately share published articles. Downloaded via 148.251.232.83 on March 8, 2019 at 05:56:49 (UTC). See https://pubs.acs.org/sharingguidelines for options on how to legitimately share published articles. Food Taste Chemistry Food Taste

More information

Xpedition Layout for Package Design. Student Workbook

Xpedition Layout for Package Design. Student Workbook Student Workbook 2017 Mentor Graphics Corporation All rights reserved. This document contains information that is trade secret and proprietary to Mentor Graphics Corporation or its licensors and is subject

More information

AABB Trademark Usage Guidelines

AABB Trademark Usage Guidelines AABB Trademark Usage Guidelines AABB's Philosophy on Trademarks AABB's trademarks, service marks, member logos and accreditation logos, currently consist of the AABB logo, AABB logo with Member, AABB logo

More information

Bootstrap Methods in Regression Questions Have you had a chance to try any of this? Any of the review questions?

Bootstrap Methods in Regression Questions Have you had a chance to try any of this? Any of the review questions? ICPSR Blalock Lectures, 2003 Bootstrap Resampling Robert Stine Lecture 3 Bootstrap Methods in Regression Questions Have you had a chance to try any of this? Any of the review questions? Getting class notes

More information

MetaLib and Your Resources

MetaLib and Your Resources MetaLib and Your Resources Objectives Understand Fundamental Concepts Learn to Configure and Activate CKB Resources Understand the MetaLib IRD Record Learn to Configure and Activate Non-CKB Resources Troubleshoot

More information

The Reflected. S.D. Warren Yearbook Advertising

The Reflected. S.D. Warren Yearbook Advertising A D V E R T I S I N G The Reflected Works S.D. Warren Yearbook Advertising 1957 1964 S.D. Warren Yearbook Advertising For more than a century, through various names and incarnations, our message and mission

More information

Videoblogging. DUMmIES. by Stephanie Cottrell Bryant FOR

Videoblogging. DUMmIES. by Stephanie Cottrell Bryant FOR Videoblogging FOR DUMmIES by Stephanie Cottrell Bryant Videoblogging FOR DUMmIES Videoblogging FOR DUMmIES by Stephanie Cottrell Bryant Videoblogging For Dummies Published by Wiley Publishing, Inc. 111

More information

AWT Guidelines for Speakers

AWT Guidelines for Speakers AWT Guidelines for Speakers The guidelines listed below were developed to preserve the integrity of the educational experience and provide the best learning environment for our attendees. The educational

More information

Music Theory SAMPLE CHAPTERS. Kyle Morrison Lovely. For The Modern Rockin Metalhead. Write Better Songs, Right Now! B.A Music and Sound Recording

Music Theory SAMPLE CHAPTERS. Kyle Morrison Lovely. For The Modern Rockin Metalhead. Write Better Songs, Right Now! B.A Music and Sound Recording Music Theory For The Modern Rockin Metalhead Write Better Songs, Right Now! SAMPLE CHAPTERS Kyle Morrison Lovely B.A Music and Sound Recording DISCLAIMER: The author, publisher, and copyright holder expressly

More information

Index. - Registration assistant of momit Home 1 - Start of session/registration 2 - Registration of devices. - momit Home App 1.

Index. - Registration assistant of momit Home 1 - Start of session/registration 2 - Registration of devices. - momit Home App 1. Index - Registration assistant of momit Home 1 - Start of session/registration 2 - Registration of devices - momit Home App 1. Start 2. Device 2.1 Control panel a. State of operation b. Temperature b1.

More information

in the Howard County Public School System and Rocketship Education

in the Howard County Public School System and Rocketship Education Technical Appendix May 2016 DREAMBOX LEARNING ACHIEVEMENT GROWTH in the Howard County Public School System and Rocketship Education Abstract In this technical appendix, we present analyses of the relationship

More information

NEPALESE JOURNAL OF STATISTICS (NJS)

NEPALESE JOURNAL OF STATISTICS (NJS) NEPALESE JOURNAL OF STATISTICS (NJS) Instruction to Authors Manuscript section Manuscripts, mainly full length articles submitted to the journal should be divided into the following sections as far as

More information

Terms and Conditions. Resell Rights

Terms and Conditions. Resell Rights Terms and Conditions Copyright 2013 Feng Shui DIY. All rights reserved. No part of this e-book may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical,

More information

Aims and scope but are not limited Instructions for authors Types of papers Manuscript submission

Aims and scope but are not limited Instructions for authors Types of papers Manuscript submission Aims and scope Journal of Rare Cardiovascular Diseases (JRCD) is an international, quarterly, peer-reviewed, open access journal that keeps cardiologists and non-cardiologists up-to-date with rare disorders

More information

NEW JERSEY NATS FESTIVAL OF SINGING 39TH ANNUAL AUDITIONS

NEW JERSEY NATS FESTIVAL OF SINGING 39TH ANNUAL AUDITIONS www.njnats.net NEW JERSEY NATS FESTIVAL OF SINGING 39TH ANNUAL AUDITIONS Saturday, February 18 2017 The College of New Jersey Music Building 2000 Pennington Road Ewing, NJ 08628 FESTIVAL SCHEDULE Singers

More information

The Power Filmmaking Kit

The Power Filmmaking Kit The Power Filmmaking Kit Make Your Professional Movie on a Next-to-Nothing Budget Jason J. Tomaric AMSTERDAM BOSTON HEIDELBERG LONDON NEW YORK OXFORD PARIS SAN DIEGO SAN FRANCISCO SINGAPORE SYDNEY TOKYO

More information

Dns For Dummies Download or Read Online ebook dns for dummies in PDF Format From The Best User Guide Database

Dns For Dummies Download or Read Online ebook dns for dummies in PDF Format From The Best User Guide Database Dns For Free PDF ebook Download: Dns For Download or Read Online ebook dns for dummies in PDF Format From The Best User Guide Database San Francisco For. Seattle & the Olympic. Peninsula For. Washington,

More information

Congratulations and Thank You! Premium Video Ad Prior to the Video Shoot Vendor Communications and Preparations

Congratulations and Thank You! Premium Video Ad Prior to the Video Shoot Vendor Communications and Preparations Congratulations and Thank You! We sincerely appreciate your purchase of a Premium Video Ad from AT&T Advertising Solutions. Once your video ad has been created, it will not only appear on AT&T s YP.COM

More information

Import and quantification of a micro titer plate image

Import and quantification of a micro titer plate image BioNumerics Tutorial: Import and quantification of a micro titer plate image 1 Aims BioNumerics can import character type data from TIFF images. This happens by quantification of the color intensity and/or

More information

Music is Fun! Grade 5. Written by Linda Ann Hopley Illustrated by S&S Learning Materials

Music is Fun! Grade 5. Written by Linda Ann Hopley Illustrated by S&S Learning Materials Music is Fun! Grade 5 Written by Linda Ann Hopley Illustrated by S&S Learning Materials About the author: Linda Ann Hopley has been a piano and theory teacher for over 30 years. She has written material

More information