Description
Book Synopsis: In this delightful guide, a noted mathematician and teacher offers a witty, historically oriented introduction to number theory, dealing with properties of numbers and with numbers as abstract concepts. Written for readers with an understanding of arithmetic and beginning algebra, the book presents the classical discoveries of number theory, including the work of Pythagoras, Euclid, Diophantus, Fermat, Euler, Lagrange, and Gauss.
Unlike many authors, however, Mr. Friedberg encourages students to think about the imaginative, playful qualities of numbers as they consider such subjects as primes and divisibility, quadratic forms and residue arithmetic, and quadratic reciprocity and related theorems. Moreover, the author has included a number of unusual features to challenge and stimulate students: some of the original problems in Diophantus' Arithmetica, proofs of Fermat's Last Theorem for the exponents 3 and 4, and two proofs of Wilson's Theorem.
Readers with a mathematical bent will enjoy and benefit from these entertaining and thought-provoking adventures in the fascinating realm of number theory. Mr. Friedberg is currently Professor of Physics at Barnard College, where he is Chairman of the Department of Physics and Astronomy.
Details
Unlock the secrets of the mathematical universe with "An Adventurer's Guide to Number Theory"! Dive into the world of numbers as abstract concepts and discover the classical discoveries made by legendary mathematicians such as Pythagoras, Euclid, and Gauss. This witty and historically-oriented guide will challenge and stimulate your mind, encouraging you to think about the imaginative and playful qualities of numbers like never before.
For aspiring mathematicians and number enthusiasts, this book is a must-have addition to your collection. Delve into the realms of primes and divisibility, quadratic forms, and residue arithmetic with insightful explanations and thought-provoking theorems. Whether you're familiar with arithmetic or just starting out in algebra, Mr. Friedberg's engaging writing style will make Number Theory a captivating adventure that sparks curiosity and intellect.
Join the journey through mathematical marvels and unlock the mysteries of number theory with this exceptional guide. Let Mr. Friedberg's expertise as a Professor of Physics at Barnard College guide you through the fascinating world of numbers, making complex concepts accessible and engaging. Seize the opportunity to embark on a mathematical quest that will leave you inspired and enlightened - a journey that will forever change the way you perceive numbers and their infinite possibilities.
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