This is a book for readers in transition from `school mathematics' to the fully fledged type of thinking used by professional mathematicians.
Presents an exploration of what it's really like to do mathematics. This work deals with subjects ranging from the philosophical to the practical - what mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, and more.
Welcome to the magical world of mathematics! This title features quirky tales, each of which presents a mathematical puzzle - challenging, fun, and also introducing the reader to a significant mathematical problem.
A retitled and revised edition of Ian Stewart's The Problems of Mathematics, this is the perfect guide to today's mathematics. Read about the latest discoveries, including Andrew Wiles's amazing proof of Fermat's Last Theorem, Chaos Theory, and fake four-dimensional spaces; and see how simple concepts from probability theory can help you maximize your National Lottery winnings.
A collection of curiosities of maths. It features such topics as the keys to unlocking the mysteries of Fermat's last theorem, the Poincare Conjecture, chaos theory, and the P/NP problem.
From Newton's Law of Gravity to the Black-Scholes model used by bankers to predict the markets, equations, are everywhere - and they are fundamental to everyday life. In this book, the author sets out seventeen equations that have altered the course of human history. It is also an exploration - and explanation - of life on earth.
An introduction to the intriguing concepts of abstract algebra and Galois Theory.
Since the dramatic discovery of the mathematical concept of chaos in 1989, the controversy of its contents has settled down. This edition takes a fresh look at its achievements and potential. It includes the practical applications of chaos theory, such as developing intelligent heart pacemakers, and provides a fresh answer to Einstien's question.
This is a very successful textbook for undergraduate students of pure mathematics.
Totul a inceput, pe vremea babilonienilor, cu o problema care azi pare banala pentru orice elev de scoala: rezolvarea ecuatiei de gradul doi. Cum insa dezvoltarea matematicii urmeaza cai nebanuite, incercarea de a rezolva prin radicali ecuatia de gradul cinci a condus in secolul XIX la aparitia unei intregi noi ramuri care descrie simetria - teoria grupurilor. S-a dovedit apoi ca abstractiunile matematicienilor nu numai ca sunt utile fizicienilor, dar ca ele stau la baza intelegerii naturii....