## Similar

Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.

Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.

If your student needs extra help with fractions, decimals, and percents, this invaluable resource has it all. Featuring exercises on almost every page, Practice Makes Perfect: Fractions, Decimals, and Percents offers plenty of opportunities for practice, practice. The lessons and exercises will help your student build confidence in his or her schoolwork and get better grades!

Appropriate for students ages 8 to 12, Practice Makes Perfect: Fractions, Decimals, and Percents gives your child the tools to master:

Least common multiples Improper fractions Division of decimals Percentages Mixed numbers Estimating And moreBased on the successful approach of the Practice Makes Perfect series, a basic math workbook that allows students to reinforce their skills through key concepts and 500 exercises

About the Book

A no-nonsense practical guide to this subject, Practice Makes Perfect: Basic Math offers practice in very basic mathematics skills in an area also sometimes called remedial math. It covers the skills necessary to pass the GED and the math students need to know for community college. Students get reviews of arithmetic, multiplication, division, basic geometry and algebra, as well as negative numbers, square roots, working with fractions, and more.

Offering a winning formula for getting a handle on mathematics right away, Practice Makes Perfect: Basic Math is an indispensable resource for anyone who wants a solid understanding of the fundamentals.

Key Selling Features

Market/Audience

For students who need to review and practice basic math, whether to keep up with class work or to prepare for a test or exam

Author Information

Carolyn Wheater (Hawthorne, NJ) teaches middle school and upper school mathematics at the Nightingale-Bamford School in New York City. Educated at Marymount Manhattan College and the University of Massachusetts, Amherst, she has taught math and computer technology for 30 years to students from preschool through college. She is a member of National Council of Teachers of Mathematics (NCTM) and the Association of Teachers in Independent Schools.

If any of these questions took you more than a few seconds to solve, you need this book. Short-Cut Math is a concise, remarkably clear compendium of about 150 math short-cuts — timesaving tricks that provide faster, easier ways to add, subtract, multiply, and divide.

By using the simple foolproof methods in this volume, you can double or triple your calculation speed — even if you always hated math in school. Here's a sampling of the amazingly effective techniques you will learn in minutes: Adding by 10 Groups; No-Carry Addition; Subtraction Without Borrowing; Multiplying by Aliquot Parts; Test for Divisibility by Odd and Even Numbers; Simplifying Dividends and Divisors; Fastest Way to Add or Subtract Any Pair of Fractions; Multiplying and Dividing with Mixed Numbers, and more.

The short-cuts in this book require no special math ability. If you can do ordinary arithmetic, you will have no trouble with these methods. There are no complicated formulas or unfamiliar jargon — no long drills or exercises. For each problem, the author provides an explanation of the method and a step-by-step solution. Then the short-cut is applied, with a proof and an explanation of why it works.

Students, teachers, businesspeople, accountants, bank tellers, check-out clerks — anyone who uses numbers and wishes to increase his or her speed and arithmetical agility, can benefit from the clear, easy-to-follow techniques given here.

The author can awaken for you a faculty which is surprisingly dormant in accountants, engineers, scientists, businesspeople, and others who work with figures. This is "number sense" — or the ability to recognize relations between numbers considered as whole quantities. Lack of this number sense makes it entirely possible for a scientist to be proficient in higher mathematics, but to bog down in the arithmetic of everyday life.

This book teaches the necessary mathematical techniques that schools neglect to teach: Horizontal addition, left to right multiplication and division, etc. You will learn a method of multiplication so rapid that you'll be able to do products in not much more time than it would take to write the problem down on paper.

This is not a collection of tricks that work in only a very few special cases, but a serious, capably planned course of basic mathematics for self-instruction. It contains over 9,000 short problems and their solutions for you to work during spare moments. Five or ten minutes spent daily on this book will, within ten weeks, give you a number sense that will double or triple your calculation speed.

Understanding multiplying and dividing is essential for your child to do math problems with confidence. Practice Makes Perfect: Multiplication and Division gives your child bite-sized explanations of the subjects, with engaging exercises that keep her or him motivated and excited to learn. They can practice the problems they find challenging, polish skills they’ve mastered, and stretch themselves to explore skills they have not yet attempted. This book features exercises that increase in difficulty as your child proceeds through it.

This book is appropriate for a 4th grade student working above his or her grade level, or as a great review and practice for a struggling 5th or 6th grader.

About the Book

Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.

Key Selling Features

Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 1 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 1 Drill and practice to reinforce learningMarket / Audience

The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.

Sales for this type of workbook always peak in late spring when parents look for "summer bridge" study aids. A week-by-week summer study plan included in the book supports this use.

Along the way, you'll go beyond solving hundreds of repetitive problems, and actually use what you learn to make real-life decisions. Does it make sense to buy two years of insurance on a car that depreciates as soon as you drive it off the lot? Can you really afford an XBox 360 and a new iPhone? Learn how to put algebra to work for you, and nail your class exams along the way.

Your time is way too valuable to waste struggling with new concepts. Using the latest research in cognitive science and learning theory to craft a multi-sensory learning experience, Head First Algebra uses a visually rich format specifically designed to take advantage of the way your brain really works.

The quickest route to learning a subject is through a solid grounding in the basics. So what you won’t find in Easy Mathematics Step-by-Step is a lot of endless drills. Instead, you get a clear explanation that breaks down complex concepts into easy-to-understand steps, followed by highly focused exercises that are linked to core skills--enabling learners to grasp when and how to apply those techniques.

This book features: Large step-by-step charts breaking down each step within a process and showing clear connections between topics and annotations to clarify difficulties Stay-in-step panels show how to cope with variations to the core steps Step-it-up exercises link practice to the core steps already presented Missteps and stumbles highlight common errors to avoidYou can master math as long as you take it Step-by-Step!

Julian Havil explores Napier’s original development of logarithms, the motivations for his approach, and the reasons behind certain adjustments to them. Napier’s inventive mathematical ideas also include formulas for solving spherical triangles, "Napier’s Bones" (a more basic but extremely popular alternative device for calculation), and the use of decimal notation for fractions and binary arithmetic. Havil also considers Napier’s study of the Book of Revelation, which led to his prediction of the Apocalypse in his first book, A Plaine Discovery of the Whole Revelation of St. John—the work for which Napier believed he would be most remembered.

John Napier assesses one man’s life and the lasting influence of his advancements on the mathematical sciences and beyond.

In an inspiring introduction, science writer Edward Stoddard offers important suggestions for mastering an entirely new system of figuring. Without having to discard acquired information about mathematical computation, students build on the knowledge they already have, "streamline" these techniques for rapid use and then combine them with classic shortcuts.

Initially, readers learn to master a basic technique known as the Japanese "automatic" figuring method — the principle behind the abacus. This method enables users to multiply without carrying, divide with half the written work of long division, and mentally solve mathematical problems that usually require pencil and paper or a calculator. Additional chapters explain how to build speed in addition and subtraction, how to check for accuracy, master fractions, work quickly with decimals, handle percentages, and much more.

A valuable asset for people in business who work with numbers on a variety of levels, this outstanding book will also appeal to students, teachers, and anyone looking for a reliable way to improve skill and speed in doing basic arithmetic.

Supplying a solid understanding of the key principles of distributed computing and their relationship to real-world applications, Distributed Systems: An Algorithmic Approach, Second Edition makes both an ideal textbook and a handy professional reference.

Solving Word Problems is one of the biggest hurdle that kids face in Algebra. A bit of imagination is required to understand and solve these type of problems along with the calculations.

This book breaks simple word problems using graphics thus helping the kids to visualize and understand the word problems. It develops the imaginative thinking required to solve these problems from an early level. This will help the kids to solve difficult problems as they will learn to imagine, analyze and break the problem into small parts which gives a better understanding on how to solve these type of problems.Organized around interdisciplinary problem domains, rather than programming language features, each chapter guides students through increasingly sophisticated algorithmic and programming techniques. The author uses a spiral approach to introduce Python language features in increasingly complex contexts as the book progresses.

The text places programming in the context of fundamental computer science principles, such as abstraction, efficiency, and algorithmic techniques, and offers overviews of fundamental topics that are traditionally put off until later courses.

The book includes thirty well-developed independent projects that encourage students to explore questions across disciplinary boundaries. Each is motivated by a problem that students can investigate by developing algorithms and implementing them as Python programs.

The book's accompanying website — http://discoverCS.denison.edu — includes sample code and data files, pointers for further exploration, errata, and links to Python language references.

Containing over 600 homework exercises and over 300 integrated reflection questions, this textbook is appropriate for a first computer science course for computer science majors, an introductory scientific computing course or, at a slower pace, any introductory computer science course.

Reimer takes you on a lively and entertaining tour of the ancient Egyptian world, providing rich historical details and amusing anecdotes as he presents a host of mathematical problems drawn from different eras of the Egyptian past. Each of these problems is like a tantalizing puzzle, often with a beautiful and elegant solution. As you solve them, you’ll be immersed in many facets of Egyptian life, from hieroglyphs and pyramid building to agriculture, religion, and even bread baking and beer brewing.

Fully illustrated in color throughout, Count Like an Egyptian also teaches you some Babylonian computation—the precursor to our modern system—and compares ancient Egyptian mathematics to today’s math, letting you decide for yourself which is better.

Since the publication of the first edition, implementation aspects have changed significantly, including advances in graphics technology that are enhancing immersive experiences with virtual reality. Reflecting these considerable developments, this second edition presents up-to-date algorithms for each stage in the creative process. It takes you from the construction of polygonal models of real and imaginary objects to rigid body animation and hierarchical character animation to the rendering pipeline for the synthesis of realistic images.

New to the Second Edition

New chapter on the modern approach to real-time 3D programming using OpenGL New chapter that introduces 3D graphics for mobile devices New chapter on OpenFX, a comprehensive open source 3D tools suite for modeling and animation Discussions of new topics, such as particle modeling, marching cubes, and techniques for rendering hair and fur More web-only content, including source code for the algorithms, video transformations, comprehensive examples, and documentation for OpenFX

The book is suitable for newcomers to graphics research and 3D computer games as well as more experienced software developers who wish to write plug-in modules for any 3D application program or shader code for a commercial games engine.

New to the Third Edition

New chapter on special topics, including discrete Cauchy–Euler equations; gamma, beta, and digamma functions; Lambert W-function; Euler polynomials; functional equations; and exact discretizations of differential equations New chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences Additional problems in all chapters Expanded bibliography to include recently published texts related to the subject of difference equations

Suitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanations.

Like the Singapore's bar model method, the stack model method allows word problems that were traditionally read in higher grades to be set in lower grades. The stack model method empowers younger readers with the higher-order thinking skills needed to solve word problems much earlier than they would normally acquire in school.

Singapore's stack model method is a more creative and intuitive visualization problem-solving strategy than the bar model method. Brain-unfriendly word problems that are bar-model-unfriendly tend to lend themselves easily to the stack model method.

Features of the Singapore math playbook are:

● Look-See Proofs for Kids

● Visible Thinking in Mathematics

● Advanced Visual Literacy

● Creative and Higher-Order Thinking Skills

● Alternative Solutions and Thought Processes

The Stack Model Method would benefit all grades 5–6 students, teachers, and parents, as they acquaint themselves with this visualization problem-solving strategy to solve both routine and non-routine questions, while indirectly helping them to enhance their creative thinking and problem-solving skills in mathematics. Learn what the best grades 5–6 students in Singapore do in elementary math—you too can learn to solve the types of challenging questions they deal with every day in local schools and tuition centers island-wide.

This handy book is designed to streamline your methods and resharpen your calculation skills for a variety of situations. Starting with the most elementary operations, the book goes on to cover all basic topics and processes of arithmetic: addition, subtraction, multiplication, division, fractions, percentage, interest, ratio and proportion, denominate numbers, averages, etc. The text continues into other useful matters, such as powers and roots, logarithms, positive and negative numbers, harmonic progression, and introductory concepts of algebra.

Entirely practical in approach and using an easy-to-follow question and answer style, this book covers a wide range of common knotty areas: filling and emptying receptacles, scales for models and maps, business and financial calculations (partial payment problems, compound interest, bank and sales discount, profit and loss problems, etc.), angle measurement, mixtures and solutions, graph and chart problems, and the like.

The discussion contains numerous alternate and short-cut methods, such as quick ways to figure compound interest; to square a number from 1 to 100; to divide by 5, 25, 125, 99, etc.; to multiply two 2-digit numbers having the same figure in the tens place; and many more. These valuable tips, together with the huge fund of exercise problems (a total of 809, half of them answered in an appendix), help you to increase your computational proficiency and speed, and make this an extremely useful volume to have on your shelf at home or at work. Anyone who has to do any figuring at all — housewife, merchant, student — will profit from this refresher. Parents will find it an excellent source of material for helping children in school work.

Author: dott. Alessio Mangoni.

Updated and expanded with new topics, The Mathematics Companion: Mathematical Methods for Physicists and Engineers, 2nd Edition presents the essential core of mathematical principles needed by scientists and engineers. Starting from the basic concepts of trigonometry, the book covers calculus, differential equations, and vector calculus. A new chapter on applications discusses how we see objects "mathematically" with the eye, how quantum mechanics works, and more.

A Convenient, Student-Friendly Format Rich with Diagrams and Clear Explanations

The book presents essential mathematics ideas from basic to advanced level in a way that is useful to both students and practicing professionals. It offers a unique and educational approach that is the signature style of the author’s companion books. The author explains mathematical concepts clearly, concisely, and visually, illustrating how scientists use the language of mathematics to describe and communicate physical principles.

Be sure to check out the author’s other companion books:

The Materials Physics Companion, 2nd Edition

The Physics Companion, 2nd Edition

The Electronics Companion: Devices and Circuits for Physicists and Engineers, 2nd Edition

The Chemistry Companion

With numerous color figures, this classroom-tested book focuses on both foundational computer science concepts and engineering topics. It covers abstraction, algorithms, logic, graph theory, social issues of software, and numeric modeling as well as execution control, problem-solving strategies, testing, and data encoding and organizing. The text also discusses fundamental concepts of programming, including variables and assignment, sequential execution, selection, repetition, control abstraction, data organization, and concurrency. The authors present the algorithms using language-independent notation.

About the Book

Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.

Key Selling Features

Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 3 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 3 Drill and practice to reinforce learningMarket / Audience

The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.

Sales for this type of workbook always peak in late spring when parents look for "summer bridge" study aids. A week-by-week summer study plan included in the book supports this use.

Awake Mathemagician Inside You !

- Can you multiply 44465 by 8888 in single line ?

- Can you figure out day on 24/5/2014 in 10 seconds ?

- Can you divide 123456 by 44444 instantaneously ?

- Can you raise number to any integral power ?

- Can you determine divisibility of 124356 by 37 just in 5 seconds ?

- Can you find square root, cube root or any root of any number without using calculator ?

- Can you convert (2134)6 = ( ? )12 in 20 seconds ?

SILENT FEATURES OF BOOK

Introduce VJ's universal divisibility test for all number !

Reveal unique secret behind speed mathematics !

Explain concept behind each method !

Unifies Vedic math, Trachtenberg system and modern math .

Presents faster method for n'th root of any number !

Give quicker methods for converting number from one base to other!

Introduce one-line method to compute root of any number or polynomial equation (VJ's matrix method)

Introduce novel pattern called golden pattern

Golden Lemma and Golden pattern

- Simplify everything right from polynomial multiplication, division , power , root , inverse etc.

- Help to build generic module in high level language to carry out basic operation on polynomial

- Parallel multiplication architecture for multiprocessor environment

- Golden pattern(process) is applicable in many area of algebra.

- Golden pattern is superior over vertically crosswise pattern mentioned in Vedic math.

INTRODUCTION

Now–a -days speed math system ( like Vedic Mathematics , Trachtenberg System) are gaining widespread popularity among students as well as teachers. Speed math refers to faster methods and techniques to solve arithmetic calculation mentally. It saves considerable amount of time in competitive exam. So it is worthy to study speed math.

In order to compute given calculation mentally, one need to recall right kind of specific method (shortcut) out of 1000's. Instead of doing so,

i) Is it possible to compute any arithmetic operation (like addition, multiplication) quickly by using scientific approach ?

ii) Is it possible to derive all methods in speed math by using unique principle ?

iii) Is there any unique secret (principle) behind speed mathematics ?

After researching speed math about 2-3 years, I realized that there is unique secret (principle) behind speed mathematics !! This book explains entire speed mathematics by using single principle and gives introduction to new number system called as global number system. It extends VM framework in some of the area like divisibility, n'th root.

Related Videos / Presentations

1) https://www.youtube.com/watch?v=b3PFjsUgULM

2) http://www.slideshare.net/jadhavvitthal1989/presentations

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MODERN APPROACH TO SPEED MATH SECRET - PAPERBACK EDITION

Due to frequent demand from reader for paperback edition of 'Modern Approach to Speed Math Secret' , it would be provided as print on demand service.

TO ORDER PAPERBACK EDITION REFER

http://teckguide.net/?page_id=38

For Joining course on aptitude / Visual math / Vedic math by author refer

http://piclearner.com/

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Note to Reader :

Reader can post suggestion , constructive criticism or any question related to any math topic at https://www.facebook.com/vjsmathemagic OR

https://www.facebook.com/groups/887201061336628/

Group on mathematics for solving reader's doubt, spreading new insight in mathematics by different experts, bringing different researcher together, boosting number sense / logical thinking in student.

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" Essence of mathematics lies in its freedom" - Georg Cantor

" Pure mathematics is, in its way, the poetry of logical ideas." - Albert Einstein

" As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. " - Albert Einstein

“ In my opinion, all things in nature occur mathematically.”

― René Descartes

" Mathematical Knowledge adds vigour to the mind, free it from prejudices & superstition " - John Arbuthnot

Some mathematician, I believe, has said that true pleasure lies not in the discovery of truth, but in the search for it." -Tolstoy

"Mathematics is the queen of science, and arithmetic the queen of mathematics."

- Carl Friedrich Gauss

"Truth is ever to be found in the simplicity, and not in the multiplicity and confusion of things." - Isaac Newton

"Quantification is ultimate goal of mathematics.." - V. B. Jadhav

"Truth is ultimate goal of supreme knowledge.." - V.B. Jadhav

About the Book

Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.

Key Selling Features

Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 4 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 4 Drill and practice to reinforce learningMarket / Audience

The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.

Sales for this type of workbook always peak in late spring when parents look for "summer bridge" study aids. A week-by-week summer study plan included in the book supports this use.

In his latest foray into mathematics, David Berlinski takes on the simplest questions that can be asked: What is a number? How do addition, subtraction, multiplication, and division actually work? What are geometry and logic? As he delves into these subjects, he discovers and lucidly describes the beauty and complexity behind their seemingly simple exteriors, making clear how and why these mercurial, often slippery concepts are essential to who we are.

Filled with illuminating historical anecdotes and asides on some of the most fascinating mathematicians through the ages, One, Two, Three is a captivating exploration of the foundation of mathematics: how it originated, who thought of it, and why it matters.

From the Hardcover edition.

The book contains 33 different styles for writing the term frequency task. The styles are grouped into nine categories: historical, basic, function composition, objects and object interactions, reflection and metaprogramming, adversity, data-centric, concurrency, and interactivity. The author verbalizes the constraints in each style and explains the example programs. Each chapter first presents the constraints of the style, next shows an example program, and then gives a detailed explanation of the code. Most chapters also have sections focusing on the use of the style in systems design as well as sections describing the historical context in which the programming style emerged.

Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.

Key Selling Features

Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 5 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 5 Drill and practice to reinforce learning

The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.

Each book in this series helps primary-school students learn and practice basic math skills they'll need in the classroom and on standardized NCLB tests. Printed in 4-color throughout; with numerous special high-interest features.

Key Selling Features

Attractive 4-color page design creates a student-friendly learning experience. All pages are filled to the brim with activities for maximum educational value. High-interest features and real-world applications enliven the learning experience and hold student interest Week-by-week summer study plans support use as a "summer bridge" learning and reinforcement program. All content aligned to state and national standards Instructional content is scaffolded; students are shown examples, then prompted through the process of solving problems independently. Complete review of Grade 2 math aligned to the new "common core" state standards Week-by-week study plans support use as "summer bridge" program for children entering Grade 2 Drill and practice to reinforce learning

The market for these books consists of parents who are anxious because their children have to take NCLB tests or because their children are falling behind in school. Other parents will buy the books simply because their children need or want additional practice to reinforce school-taught skills.

Ordinary Differential Equations: An Introduction to the Fundamentals also includes access to an author-maintained website featuring detailed solutions and a wealth of bonus material. Use of a math software package that can do symbolic calculations, graphing, and so forth, such as MapleTM or Mathematica®, is highly recommended, but not required.

Written by one of the foremost experts in high-performance computing and the inventor of Gustafson’s Law, The End of Error: Unum Computing explains a new approach to computer arithmetic: the universal number (unum). The unum encompasses all IEEE floating-point formats as well as fixed-point and exact integer arithmetic. This new number type obtains more accurate answers than floating-point arithmetic yet uses fewer bits in many cases, saving memory, bandwidth, energy, and power.

A Complete Revamp of Computer Arithmetic from the Ground Up

Richly illustrated in color, this groundbreaking book represents a fundamental change in how to perform calculations automatically. It illustrates how this novel approach can solve problems that have vexed engineers and scientists for decades, including problems that have been historically limited to serial processing.

Suitable for Anyone Using Computers for Calculations

The book is accessible to anyone who uses computers for technical calculations, with much of the book only requiring high school math. The author makes the mathematics interesting through numerous analogies. He clearly defines jargon and uses color-coded boxes for mathematical formulas, computer code, important descriptions, and exercises.

In the twenty-first century, computers have become indispensable in music making, distribution, performance, and consumption. Making Music with Computers: Creative Programming in Python introduces important concepts and skills necessary to generate music with computers. It interweaves computing pedagogy with musical concepts and creative activities, showing students how to integrate the creativity and design of the arts with the mathematical rigor and formality of computer science.

The book provides an introduction to creative software development in the Python programming language. It uses innovative music-creation activities to illustrate introductory computer programming concepts, including data types, algorithms, operators, iteration, lists, functions, and classes. The authors also cover GUIs, event-driven programming, big data, sonification, MIDI programming, client–server programming, recursion, fractals, and complex system dynamics.

Requiring minimal musical or programming experience, the text is designed for courses in introductory computer science and computing in the arts. It helps students learn computer programming in a creative context and understand how to build computer music applications. Also suitable for self-study, the book shows musicians and digital music enthusiasts how to write music software and create algorithmic music compositions.

Web Resource

A supplementary website (http://jythonMusic.org) provides a music library and other software resources used in the text. The music library is an extension of the jMusic library and incorporates other cross-platform programming tools. The website also offers example course and associated media resources.

The first part of the book discusses the nature of mathematics and its beauty. The second part tells about the teaching principles the author distilled from his experience. The third part is an excursion through the arithmetic studied in elementary school, accompanied by personal stories, historical anecdotes and teaching suggestions. The appendix relates the fascinating story of modern day politics of mathematical education.

The book was a bestseller in Israel, and has been translated into many languages. The extraordinary combination of mathematical and didactic insights makes it an essential guide for parents and teachers alike.

Contents:ElementsThe Road to Abstraction — Principles of TeachingArithmetic from First to Sixth GradesMeaningCalculationFractionsDecimalsRatiosReadership: Parents whose children study elementary mathematics, practioners who provide mathematical learning, and the general public.

Key Features:Modern day parents often wish to be involved in their children's education. This is a unique guide that can help them do itIt is an ideal aid for parents who choose home schooling. The book will also appeal to those grownups who wish to return to their childhood experience, and understand it from a mature point of viewKeywords:Elementary School Mathematics;Arithmetic;Mathematical Education;Beauty;Popular Mathematics;Teaching Guidebook

The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible.

The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.

These key stages are identified as: Stage 1a: Fair Sharing Stage 1b: Part-Whole Stage 2a: Disembedding and IteratingStage 2b: Measuring with Unit Fractions Stage 2c: Reversing Fractions Stage 3a: Fractions as Numbers Stage 3b: Operating with Fractions As the newest addition to the bestselling Maths Recovery Series, this book will be a useful guide for all primary classroom teachers and assistants, including experienced Mathematics Recovery instructors.