Written by two pioneers of the concept of math anxiety and how to overcome it, Arithmetic and Algebra Again has helped tens of thousands of people conquer their irrational fear of math.
This revised and expanded second edition of the perennial bestseller:Features the latest techniques for breaking through common anxieties about numbers Takes a real-world approach that lets mathphobes learn the math they need as they need it Covers all key math areas--from whole numbers and fractions to basic algebra Features a section on practical math for banking, mortgages, interest, and statistics and probability Includes a new section on the graphing calculator, a chapter on the metric system, a section on word problems, and all updated exercises
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.
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 avoid
You can master math as long as you take it Step-by-Step!
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.
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.
This uncommonly interesting volume covers 100 of the most famous historical problems of elementary mathematics. Not only does the book bear witness to the extraordinary ingenuity of some of the greatest mathematical minds of history — Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, and many others — but it provides rare insight and inspiration to any reader, from high school math student to professional mathematician. This is indeed an unusual and uniquely valuable book.
The one hundred problems are presented in six categories: 26 arithmetical problems, 15 planimetric problems, 25 classic problems concerning conic sections and cycloids, 10 stereometric problems, 12 nautical and astronomical problems, and 12 maxima and minima problems. In addition to defining the problems and giving full solutions and proofs, the author recounts their origins and history and discusses personalities associated with them. Often he gives not the original solution, but one or two simpler or more interesting demonstrations. In only two or three instances does the solution assume anything more than a knowledge of theorems of elementary mathematics; hence, this is a book with an extremely wide appeal.
Some of the most celebrated and intriguing items are: Archimedes' "Problema Bovinum," Euler's problem of polygon division, Omar Khayyam's binomial expansion, the Euler number, Newton's exponential series, the sine and cosine series, Mercator's logarithmic series, the Fermat-Euler prime number theorem, the Feuerbach circle, the tangency problem of Apollonius, Archimedes' determination of pi, Pascal's hexagon theorem, Desargues' involution theorem, the five regular solids, the Mercator projection, the Kepler equation, determination of the position of a ship at sea, Lambert's comet problem, and Steiner's ellipse, circle, and sphere problems.
This translation, prepared especially for Dover by David Antin, brings Dörrie's "Triumph der Mathematik" to the English-language audience for the first time.
Based 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
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
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.
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.
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.
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.
Can you see it?
Can you hear it?
Can you feel it?
This important math concept is beautifully explored in a way that will inspire children to find zero everywhere--from the branches of a tree by day to the vast, starry sky by night.
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.
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.
Author: dott. Alessio Mangoni.
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.
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.
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.
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 more
Mark Levi introduces each physical problem, sometimes gives a hint or two, and then fully explains the solution. Here readers can test their critical-thinking skills against a whole assortment of puzzles and paradoxes involving floating and diving, sailing and gliding, gymnastics, bike riding, outer space, throwing a ball from a moving car, centrifugal force, gyroscopic motion, and, of course, falling cats.
Want to figure out how to open a wine bottle with a book? Or how to compute the square root of a number using a tennis shoe and a watch? Why Cats Land on Their Feet shows you how, and all that's required is a familiarity with basic high-school mathematics. This lively collection also features an appendix that explains all physical concepts used in the book, from Newton's laws to the fundamental theorem of calculus.
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.
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.
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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
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.