This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.

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...

For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This n...

**Winner of the Pulitzer Prize, the National Book Award, and the National Book Critics Circle Award****The definitive history of nuclear weapons—**from the turn-of-the-century discovery of nuclear energy to J. Robert Oppenheimer and the Manhattan Project—this epic work details the science, the people, and the sociopolitical realities that led to the development of the atomic bomb.This sweeping account begins in the 19th cen...

**One of our greatest philosophers and scientists of the mind examines where the self comes from – and how our selves can exist in the minds of others.“I Am a Strange Loop is a work of rigorous thinking, but it’s also an extraordinary tribute to the memory of romantic love: The Year of Magical Thinking for mathematicians.” ―Time**Deep down, your brain is a chaotic seething soup of particles. On a higher level it is a jungle of neurons, and on a ye...

An eye-opening, myth-shattering examination of what makes us fat, from acclaimed science writer Gary Taubes.In his New York Times best seller, Good Calories, Bad Calories, Taubes argued that our diet’s overemphasis on certain kinds of carbohydrates—not fats and not simply excess calories—has led directly to the obesity epidemic we face today. The result of thorough research, keen insight, and unassailable common sense, Good Calories, Bad Calo...

The best-selling author of Naked Economics defies the odds with a book about statistics that you’ll welcome and enjoy.Once considered tedious, the field of statistics is rapidly evolving into a discipline Hal Varian, chief economist at Google, has actually called “sexy.” From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standard...

“I am hard pressed to think of another book that can match the combination of practical insights and reading enjoyment.”—Steven LevittGame theory means rigorous strategic thinking. It’s the art of anticipating your opponent’s next moves, knowing full well that your rival is trying to do the same thing to you. Though parts of game theory involve simple common sense, much is counterintuitive, and it can only be mastered by developing a new way of seeing the world. Using a diverse arr...

To most of us, learning something "the hard way" implies wasted time and effort. Good teaching, we believe, should be creatively tailored to the different learning styles of students and should use strategies that make learning easier. Make It Stick turns fashionable ideas like these on their head. Drawing on recent discoveries in cognitive psychology and other disciplines, the authors offer concrete techniques for becoming more productive learners.Memory plays a central r...

A new edition to celebrate Alan Turing's centenary, includes a new foreword by the author and a preface by Douglas Hofstadter.Alan Turing was the extraordinary Cambridge mathematician who masterminded the cracking of the German Enigma ciphers and transformed the Second World War. But his vision went far beyond this crucial achievement. Before the war he had formulated the concept of the universal machine, and in 1945 he turned this into the first design for a digital computer....

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics, and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of ...

'A powerful combination of suspenseful thrills and supernatural chills. I can't wait to read more!' - Lisa Gardner'Will keep you up and reading well into the night' - Linwood BarclayTRUST NO ONE. Olivia Jones is desperate for the truth. The daughter of convicted serial killers, she has begun to suspect that her parents are innocent of their crimes. But who can she trust in a world where betrayal and deception hide in every...