How does a genius see the world? Where and how does inspiration strike? Blending science with history, biography with myth, the author conjures up an inimitable cast: the omnipresent Einstein, mad genius Kurt Godel, and Villani's personal hero, John Nash.

A guide to critical thinking in the 'post-truth' era, from the author of Sunday Times best-seller The Organized Mind We live in a world of information overload. Facts and figures on absolutely everything are at our fingertips, but are too often biased, distorted, or outright lies. From unemployment figures to voting polls, IQ tests to divorce rates, we're bombarded by seemingly plausible statistics on how people live and what they think.

Daniel Levitin teaches us how to effectively ask oursel...

Offering the most geometric presentation available, Linear Algebra with Applications, Fifth Edition emphasizes linear transformations as a unifying theme. This elegant textbook combines a user-friendly presentation with straightforward, lucid language to clarify and organize the techniques and applications of linear algebra. Exercises and examples make up the heart of the text, with abstract exposition kept to a minimum.

Exercise sets are broad and varied and reflect the author's creativity a...

A bestselling author tries to rehabilitate a much-maligned field.

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the highlights of elementary group theory. Written in an informal style, the material is divided into short sections each of which deals with an important result or a new idea.

Throughout the book, the emphasis is placed on concrete examples, many of them geometrical in nature, so that finite rotation groups and the seventeen wallpaper groups are tr...

A precursor to Russell’s famous Principa Mathematica, this is one of the most original and comprehensive treatises on the logical foundation of mathematics available today.

This third edition of a popular, well-received text offers undergraduates an opportunity to obtain an overview of the historical roots and the evolution of several areas of mathematics. The selection of topics conveys not only their role in this historical development of mathematics but also their value as bases for understanding the changing nature of mathematics.