A Concise Introduction to the Theory of Numbers 1st Edition by Alan Baker (PDF)

Description

Number theory has a long and distinguished history and the concepts and problems relating to the subject have been instrumental in the foundation of much of mathematics. In this book, Professor Baker describes the rudiments of number theory in a concise, simple and direct manner. Though most of the text is classical in content, he includes many guides to further study which will stimulate the reader to delve into the great wealth of literature devoted to the subject. The book is based on Professor Baker’s lectures given at the University of Cambridge and is intended for undergraduate students of mathematics.

User’s Reviews

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

⭐My copy of this book is worn out. It’s hard to explain it’s charm, perhaps it’s the way it covers so much ground so quickly and fluidly (without leaving everything as an exercise for the reader). A particular emphasis on quadratics: residues, forms, class field – not surprising since the author himself won the Fields Medal for his work binary quadratic forms in 1970 and previously in 1966 proved a long-standing conjecture of Carl Gauss: The only imaginary quadratic fields with unique factorization are d = -1, -2, -3, -7, -11, -19, -43, -67 and -163.

⭐This book packs in as many concepts as number theory books five times its length (divisibility, arithmetical functions, congruences, quadratic residues and forms and fields, and diophantine equations and approximations) and is still (surprisingly) very clear. There are even exercises to keep you busy.

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