Mathematics: The New Golden Age (Penguin science) by Keith Devlin (PDF)

Description

In the computerized world of today mathematics has had an impact on almost every aspect of our lives, yet most people believe they cannot hope to understand or enjoy the subject. This comprehensive survey sets out to show just how mistaken they are. Substantially revised and updated, this second edition takes into account recent dramatic developments and includes major new sections on Fermat’s Last Theorem, knots and topology, and the mathematics of the physical universe. “Devlin’s choice of material is excellent, and he is to be praised for the clarity and accuracy with which he presents it” – Martin Gardner in the New York Review of Books

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Excellent book with key Math concepts.

⭐This is the best popular math book I’ve ever read. The first edition of this book was responsible for rekindling my interest in pure mathematics after a long layoff (which has persisted to this day). The author covers some topics that are typically covered in popular math books (such as chaos theory and the difficulty of factoring large prime numbers). Fortunately, most of the book is devoted to topics that are rarely dealt with in such books, such as the classification of finite simple groups, the class number problem, and the Riemann hypothesis. The new edition also contains an expanded section on Fermat’s last theorem (which has been proved since the first edition came out). What I like about Devlin’s style is that he goes into the math to a much more significant extent than most popular science writers and yet still keeps everything easy to understand for anyone with (say) an understanding of basic calculus. The only (minor) criticism I have of the book is that Devlin often gets tantalizingly close to a major result and then begs off with the statement “the full result can only be understood by specialists”. Most of the time, this makes little difference, but with the class number problem (which, among other things, explains why exp(sqrt(163)*Pi) is almost an integer), he leads you along a fascinating journey and then doesn’t explain the original motivating problem (why exp(sqrt(163)*Pi) is almost an integer). However, this is a minor nit and doesn’t significantly detract from a fascinating book.

⭐This book is a comprehensive in-detail overview of a wide rage of mathematical subjects, from Fermat’s Last Theorem to topology. If you are considering a mathematical career, this book is a great buy.

⭐This is a fascinating introduction to some key developments in maths over the last 150 years or so, focusing largely on aspects of number theory and topology. Keith Devlin has the gift of making often complex concepts comprehensible to readers with little mathematical training beyond elementary arithmetic and elementary algebra, and explains terms as he goes along. Where sometimes the maths becomes particularly intricate, he manages to convey the gist of the argument in simple terms. Thoroughly recommended.

⭐Happy with product

⭐It’s great!

⭐Read this book! It is a fabulous introduction to recent developments in pure maths. While Devlin does not shy away from mathematical detail he is always readable, and if you don’t understand something you can always skip ahead. He covers many different areas, from fractals to prime numbers: there is sure to be something of interest to everyone! I couldn’t recommend this book more highly!

⭐The content is great, agree with the other reviewers entirely. Unfortunately the kindle edition suffers from poor layout / typesetting. Some of the formula are just plain wrong, and sometimes you’re referred off to ‘text in a box’ without a box in sight. So great but tarnished by lazy conversion to ebook.

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