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How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
How Mathematicians Think
Using Ambiguity, Contradiction, and Paradox to Create Mathematics
Hardcover      ISBN: 0691127387

To many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results.

Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure.

The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory?

Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.

Master Math: Geometry: Including Everything from Triangles, Polygons, Proofs, and Deductive Reasoning to Circles, Solids, Similarity, and Coordinate Geometry
Master Math: Geometry
Including Everything from Triangles, Polygons, Proofs, and Deductive Reasoning to Circles, Solids, Similarity, and Coordinate Geometry
Paperback      ISBN: 1564146677

Master Math: Geometry and the Master Math series as a whole are clear, concise, and yet comprehensive reference sources. They are designed to allow quick access to clearly presented and easy-to-understand explanations of concepts, principles, definitions, examples, and applications. This book was written for students, teachers, tutors, and parents, as well as for scientists and engineers who need to look up principles, definitions, explanations of concepts, and pertinent examples. It provides everything a high school or first year college student needs to know including: explanation of deductive reasoning, how to perform proofs, definitions, theorems, and postulates, Examples pertaining to points, lines, plans, angles, and ratios, coverage on triangles, quadrilaterals, polygons, and much more

The Numerati
The Numerati
Paperback      ISBN: 0547247931
Every day we produce loads of data about ourselves simply by living in the modern world: we click web pages, shop with credit cards, and make cell phone calls. Companies like Yahoo! and Google are harvesting an average of 2,500 details about each of us every month. Who is looking at this data and what are they doing with it? 
Journalist Stephen Baker explores these questions and provides us with a fascinating guide to the world we're entering—and to the people controlling that world. The Numerati have infiltrated every realm of human affairs, profiling us as workers, shoppers, voters, potential terrorists—and lovers. The implications are vast. Privacy evaporates. Our bosses can monitor our every move. Retailers can better tempt us to make impulse buys. But the Numerati can also work on our behalf, diagnosing an illness before we're aware of the symptoms, or even helping us find our soul mate. Entertaining and enlightening, The Numerati shows how a powerful new endeavor—the mathematical modeling of humanity—will transform every aspect of our lives.
Calculus for Dummies
Calculus for Dummies
Paperback      ISBN: 0764524984

The mere thought of having to take a required calculus course is enough to make legions of students break out in a cold sweat. Others who have no intention of ever studying the subject have this notion that calculus is impossibly difficult unless you happen to be a direct descendant of Einstein.

Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra, geometry, and trig. It builds upon and is a logical extension of those subjects. If you can do algebra, geometry, and trig, you can do calculus.

Calculus For Dummies is intended for three groups of readers:

  • Students taking their first calculus course - If you're enrolled in a calculus course and you find your textbook less than crystal clear, this is the book for you. It covers the most important topics in the first year of calculus: differentiation, integration, and infinite series.
  • Students who need to brush up on their calculus to prepare for other studies - If you've had elementary calculus, but it's been a couple of years and you want to review the concepts to prepare for, say, some graduate program, Calculus For Dummies will give you a thorough, no-nonsense refresher course.
  • Adults of all ages who'd like a good introduction to the subject - Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth.

This is a user-friendly math book. Whenever possible, the author explains the calculus concepts by showing you connections between the calculus ideas and easier ideas from algebra and geometry. Then, you'll see how the calculus concepts work in concrete examples. All explanations are in plain English, not math-speak. Calculus For Dummies covers the following topics and more:

  • Real-world examples of calculus
  • The two big ideas of calculus: differentiation and integration
  • Why calculus works
  • Pre-algebra and algebra review
  • Common functions and their graphs
  • Limits and continuity
  • Integration and approximating area
  • Sequences and series

Don't buy the misconception. Sure calculus is difficult - but it's manageable, doable. You made it through algebra, geometry, and trigonometry. Well, calculus just picks up where they leave off - it's simply the next step in a logical progression.

Schaum's Outline of Calculus for Business, Economics, and the Social Sciences
Schaum's Outline of Calculus for Business, Economics, and the Social Sciences
Paperback      ISBN: 0070176736

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you

  • Practice problems with full explanations that reinforce knowledge
  • Coverage of the most up-to-date developments in your course field
  • In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores

Schaum's Outlines-Problem Solved.

Complete How to Figure It
Complete How to Figure It
Paperback      ISBN: 0393319245

Budgeting and personal finance, planning for retirement, buying a house, estimating travel and leisure expenses, estimating costs of home repair: modern life presents us with an array of calculations we need to make but may not know how. Now, with his trademark wry humor and simple language, Darrell Huff explains how to figure: the likely outcome of different investments; how much home insurance is enough; whether it makes more sense to buy or lease a new car; the most efficient way to save for future needs, from vacations to college tuition; air-conditioning and heating requirements for a new house; how many rolls of wallpaper you will need for a particular room; and much more. Here are tips for getting the most out of a modest pocket calculator or home computer to make tedious calcuations easy, a handy chapter on Math in a Hurry, and even tips on improving your chances in tennis, horse racing, and blackjack.

Kiss My Math: Showing Pre-Algebra Who's Boss
Kiss My Math
Showing Pre-Algebra Who's Boss
Paperback      ISBN: 0452295408
The New York Times bestselling math workbook from actress and math genius Danica McKellar that teaches seventh to ninth grade girls how to conquer pre-algebra

Stepping up not only the math but the sass and style, McKellar helps math-phobic teenagers moving up into high school chill out and finally "get" negative numbers, variables, absolute values, exponents, and more. As she did so effectively in Math Doesn't Suck, McKellar uses personality quizzes, reader polls, real-life testimonials, and stories from her own life--in addition to clear instruction, helpful tips, and practice problems--revealing why pre-algebra is easier, more relevant, and more glamorous than girls think.
Cliffsquickreview Algebra II
Cliffsquickreview Algebra II
Paperback      ISBN: 0764563718

CliffsQuickReview course guides cover the essentials of your toughest classes. Get a firm grip on core concepts and key material, and test your newfound knowledge with review questions. Whether you're looking for an in-depth treatment of the entire subject matter or occasional reinforcement of key algebra concepts, this is the place to find it.

E: The Story of a Number
The Story of a Number
Paperback      ISBN: 0691058547

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

Math Doesn't Suck: How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail
Math Doesn't Suck
How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail
Paperback      ISBN: 0452289491
From actress and math genius Danica McKellar comes a groundbreaking middle school math workbook for middle school girls, their parents, and educators.

As the math education crisis in this country continues to make headlines, research continues to prove that it is in middle school when math scores begin to drop--especially for girls--in large part due to the relentless social conditioning that tells girls they "can't do" math, and that math is "uncool." Young girls today need strong female role models to embrace the idea that it's okay to be smart

It's Danica McKellar's mission to be this role model, and demonstrate on a large scale that math doesn't suck. In this fun and accessible guide, McKellar--dubbed a "math superstar" by The New York Times--gives 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). It even includes a Math Horoscope section, Math Personality Quizzes, and Real-Life Testimonials--ultimately revealing why math is easier and cooler than readers think.