A squared plus b squared equals c squared. Itsounds simple, doesn't it? Yet this familiar expression is a gatewayinto the riotous garden of mathematics, and sends us on a journey ofexploration in the company of two inspired guides, acclaimed authorsRobert and Ellen Kaplan. With wit, verve, and clarity, they trace thelife of the Pythagorean theorem, from ancient Babylon to the present,visiting along the way Leonardo da Vin...

A witty, conversational, and accessible tour of math's profoundest mysteries.Mathematical symbols, for mathematicians, store worlds of meaning, leap continents and centuries. But we need not master symbols to grasp the magnificent abstractions they represent, and to which all art aspires. Through language, anyone can come to delight in the works of mathematical art, which are among our kind's greatest glories.Taking the concept of infinity, in its countless...

It is easy to be wary of mathematics - but as this book shows, drawing on science, literature and philosophy, its patterns are evrywhere. In witty and eloquent prose, Robert and Ellen Kaplan take mathematics back to its estranged audience, bringing understanding and clarity to a traditionally difficult subject, and revealing the beauty behind the equations. Only by letting loose our curiosity can we learn to appreciate the wonder that can be found in mathematics - an 'art' invented by huma...

“In this sparkling narrative, mathematics is indeed set free.” -Michael Shermer, author of The Believing BrainIn classrooms around the world, Robert and Ellen Kaplan's pioneering Math Circle program, begun at Harvard, has introduced students ages six to sixty to the pleasures of mathematics, exploring topics that range from Roman numerals to quantum mechanics.In Out of the Labyrinth, the Kaplans reveal the secrets of their highly successful approac...

A compelling journey through history, mathematics, and philosophy, charting humanitys struggle against randomnessOur lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling-reluctantly-for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of mans millennia-long search for the tools to manage the r...

NEW YORK TIMES BESTSELLER • In this “ambitious and challenging” (The New York Review of Books) work, the bestselling author of Monsoon and Balkan Ghosts offers a revelatory prism through which to view global upheavals and to understand what lies ahead for continents and countries around the world.In The Revenge of Geography, Robert D. Kaplan builds on the insights, discoveries, and theories of great geographers and geopo...

**#1 New York Times BestsellerIn Being Mortal, bestselling author Atul Gawande tackles the hardest challenge of his profession: how medicine can not only improve life but also the process of its ending**Medicine has triumphed in modern times, transforming birth, injury, and infectious disease from harrowing to manageable. But in the inevitable condition of aging and death, the goals of medicine seem too frequently to run counter to the interest of the huma...

A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevan...

This amazingly condensed guide covers integral & differential calculus. The guide includes: definitions & interpretations, integration formulas & techniques, improper integrals, geometry & physics, differential equations, Taylor's formula, numerical integration, sequences & series of real numbers, and convergence tests and power series.

This book is a handbook on topics in High School Algebra. We have covered the topics like - Ratio, Proportion, Variation, Progressions, Surds, Imaginary Quantities, Quadratics, Permutations, Combinations, Mathematical Induction, Binomial Theorem, Logarithms, Inequalities, Probabilities and Determinants. Each chapter is follows a simple structure. A definition of terms and detailed explanation of concepts; followed by derivation of useful formulas through first principles. A few problems ar...

From the acclaimed author of A Tour of the Calculus and The Advent of the Algorithm, here is a riveting look at mathematics that reveals a hidden world in some of its most fundamental concepts.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 an...

From Rubik's cubes to Godel's incompleteness theorem, everything mathematical explained, with colour illustrations, in half a minute. Maths is enjoying a resurgence in popularity. So how can you avoid being the only dinner guest who has no idea who Fermat was, or what he proved? The more you know about Maths, the less of a science it becomes. 30 Second Maths takes the top 50 most engaging mathematical theories, and explains them to the general reader in half a minute, using nothing more th...