Book picks similar to
Understanding Mathematics from Counting to Calculus by Keith I. Kressin
mathematics
math
homeschooling
children-and-education
Psychology in Action
Karen Huffman - 1987
To meet it, you need a fully integrated text and supplements package that sets the stage for a perfectly choreographed learning experience.
The Calculus Lifesaver: All the Tools You Need to Excel at Calculus
Adrian Banner - 2007
The Calculus Lifesaver provides students with the essential tools they need not only to learn calculus, but to excel at it.All of the material in this user-friendly study guide has been proven to get results. The book arose from Adrian Banner's popular calculus review course at Princeton University, which he developed especially for students who are motivated to earn A's but get only average grades on exams. The complete course will be available for free on the Web in a series of videotaped lectures. This study guide works as a supplement to any single-variable calculus course or textbook. Coupled with a selection of exercises, the book can also be used as a textbook in its own right. The style is informal, non-intimidating, and even entertaining, without sacrificing comprehensiveness. The author elaborates standard course material with scores of detailed examples that treat the reader to an inner monologue--the train of thought students should be following in order to solve the problem--providing the necessary reasoning as well as the solution. The book's emphasis is on building problem-solving skills. Examples range from easy to difficult and illustrate the in-depth presentation of theory.The Calculus Lifesaver combines ease of use and readability with the depth of content and mathematical rigor of the best calculus textbooks. It is an indispensable volume for any student seeking to master calculus.Serves as a companion to any single-variable calculus textbookInformal, entertaining, and not intimidatingInformative videos that follow the book--a full forty-eight hours of Banner's Princeton calculus-review course--is available at Adrian Banner lecturesMore than 475 examples (ranging from easy to hard) provide step-by-step reasoningTheorems and methods justified and connections made to actual practiceDifficult topics such as improper integrals and infinite series covered in detailTried and tested by students taking freshman calculus
Schaum's Outline of Advanced Mathematics for Engineers and Scientists
Murray R. Spiegel - 1971
Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"
Introduction to Algebra
Richard Rusczyk - 2007
Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.
A Mathematician Reads the Newspaper
John Allen Paulos - 1995
From the Senate, SATs, and sex, to crime, celebrities, and cults, he takes stories that may not seem to involvemathematics at all and demonstrates how a lack of mathematical knowledge canhinder our understanding of them.After reading A Mathematician Reads the Newspaper, it will beimpossible to look at the newspaper in the same way.-- PhiladelphiaInquirer It would be great to have John Allen Paulos living next door. Everymorning when you read the paper and come across some story that didn't seemquite right--that had the faint odor of illogic hovering about it-- you couldjust lean out the window and shout, 'John! Get the hell over here!'. A fun, spunky, wise little book that would be helpful to both the consumers of thenews and its purveyors. -- Washington Post Book World
Symbolic Logic
Irving M. Copi - 1954
The general approach of this book to logic remains the same as in earlier editions. Following Aristotle, we regard logic from two different points of view: on the one hand, logic is an instrument or organon for appraising the correctness of reasoning; on the other hand, the principles and methods of logic used as organon are interesting and important topics to be themselves systematically investigated.
The Trachtenberg Speed System of Basic Mathematics
Jakow Trachtenberg - 1960
Described as the 'shorthand of mathematics', the Trachtenberg system only requires the ability to count from one to eleven. Using a series of simplified keys it allows anyone to master calculations, giving greater speed, ease in handling numbers and increased accuracy.Jakow Trachtenberg believed that everyone is born with phenomenal abilities to calculate. He devised a set of rules that allows every child to make multiplication, division, addition, subtraction and square-root calculations with unerring accuracy and at remarkable speed. It is the perfect way to gain confidence with numbers.
Math Doesn't Suck: How to Survive Middle-School Math Without Losing Your Mind or Breaking a Nail
Danica McKellar - 2007
In this fun and accessible guide, McKellardubbed a math superstar by The New York Timesgives girls and their parents the tools they need to master the math concepts that confuse middle-schoolers most, including fractions, percentages, pre-algebra, and more. The book features hip, real-world examples, step-by-step instruction, and engaging stories of Danica's own childhood struggles in math (and stardom). In addition, borrowing from the style of today's teen magazines, it even includes a Math Horoscope section, Math Personality Quizzes, and Real-Life Testimonialsultimately revealing why math is easier and cooler than readers think.
Mathematics for the Nonmathematician
Morris Kline - 1967
But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.
The Complete Home Learning Source Book: The Essential Resource Guide for Homeschoolers, Parents, and Educators Covering Every Subject from Arithmetic to Zoology
Rebecca Rupp - 1998
The Complete Home Learning Sourcebook not only covers basic academic subjects--the three R's--but also addresses interests that are off the beaten path of public school curricula, such as paleontology and meteorology. Thorough and up-to-date, this invaluable resource reviews all possible learning tools: Arranged by subject, including " Philosophy, " " Life Skills, " and " Electronic Media, " the sourcebook's organization and succinct and insightful entries make it a breeze to use. Icons next to the entries denote the format and intended age group of each resource. Whether readers are looking for the best way to explain relativity or Egyptian mummification, The Complete Home Learning Sourcebook opens the door to a whole new universe for teaching and learning. BooksVideosMagazinesCatalogsTimelinesKitsHands-on activities Board gamesCD-ROMsEducational Web sites
A Field Guide to Lies: Critical Thinking in the Information Age
Daniel J. Levitin - 2016
We are bombarded with more information each day than our brains can process—especially in election season. It's raining bad data, half-truths, and even outright lies. New York Times bestselling author Daniel J. Levitin shows how to recognize misleading announcements, statistics, graphs, and written reports revealing the ways lying weasels can use them.
It's becoming harder to separate the wheat from the digital chaff. How do we distinguish misinformation, pseudo-facts, distortions, and outright lies from reliable information? Levitin groups his field guide into two categories—statistical infomation and faulty arguments—ultimately showing how science is the bedrock of critical thinking. Infoliteracy means understanding that there are hierarchies of source quality and bias that variously distort our information feeds via every media channel, including social media. We may expect newspapers, bloggers, the government, and Wikipedia to be factually and logically correct, but they so often aren't. We need to think critically about the words and numbers we encounter if we want to be successful at work, at play, and in making the most of our lives. This means checking the plausibility and reasoning—not passively accepting information, repeating it, and making decisions based on it. Readers learn to avoid the extremes of passive gullibility and cynical rejection. Levitin's charming, entertaining, accessible guide can help anyone wake up to a whole lot of things that aren't so. And catch some lying weasels in their tracks!
Books Children Love: A Guide to the Best Children's Literature
Elizabeth Laraway Wilson - 2002
It nurtures their imagination and creativity, lets them explore other worlds, and opens their minds to new truths and knowledge in appealing, inspiring ways. But how can we sort through thousands of children's books to discover the really worthwhile ones?Elizabeth Wilson offers us a newly revised, comprehensive guide to the very best in children's literature. Just as in the original volume, she comments on the tone and content of excellently written, captivating books in over two dozen subject areas. Hundreds of new titles have been added while retaining timeless classics and modern favorites-all of which respect traditional values. So that no matter what the children's ages are or whether they love fact or fiction, you can trust these books to share things that you can believe in and kids will delight in.
Sociology: A Practical Understanding of Why We Do What We Do: Social Psychology (Applied Psychology, Positive Psychology)
Jonny Bell - 2014
What exactly makes us tick? For many people, the question may have only popped up in their heads from time to time, though it’s not hard to imagine such a question has also led to many a sleepless night as some naturally curious people are very often compelled to wonder.Whether you belong to the first or the second group of people, wonder no more as this book will provide you the answer to the question “Why do we do what we do?” Through extensive, detailed, and well-researched facts and other information, Sociology: A Practical Understanding of Why We Do What We Do aims to explain the uniqueness of human behavior as well as the tendency of people to act the way they act under different circumstances—either driven by instinct or after much thought—despite the notion of free will which is perhaps the one thing that separates us from all other living creatures.Yes, we human beings are still free to act as we please, but considering the growing influence of our surroundings, it may be surprising to know just how much freedom we get to exercise in any given situation (though that’s not necessarily a bad thing as this book will also explain).
Labyrinths of Reason: Paradox, Puzzles and the Frailty of Knowledge
William Poundstone - 1988
This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.