The Higher Arithmetic: An Introduction to the Theory of Numbers

Science & Math

Davenport, H.

Mathematics

Cambridge University Press

The Higher Arithmetic

Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. It provides an excellent introduction to a timeless area of number theory that is still as widely researched today as it was when the book originally appeared. The three main themes of the book are Waring's problem and the representation of integers by diagonal forms, the solubility in integers of systems of forms in many variables, and the solubility in integers of diagonal inequalities. For the second edition of the book a comprehensive foreword has been added in which three prominent authorities describe the modern context and recent developments. A thorough bibliography has also been added.

Analytic Methods for Diophantine Equations and Diophantine Inequalities (Cambridge Mathematical Library)

Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, and also touches on matters of deep mathematical significance. This new edition includes state of the art material on the use of computers in number theory, as well as taking full account of the proving of Fermat's last theorem.

Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, and also touches on matters of deep mathematical significance. This new edition includes state of the art material on the use of computers in number theory, as well as taking full account of the proving of Fermat's last theorem.

Now into its Eighth edition, The Higher Arithmetic introduces the classic concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers The theory of numbers is considered to be the purest branch of pure mathematics and is also one of the most highly active and engaging areas of mathematics today. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers &amp; number theory, and primality testing. Written to be accessible to the general reader, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.

Multiplicative Number Theory

Springer

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Books by Davenport, H.

See the best price to sell, buy, or rent books by Davenport, H.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

The Higher Arithmetic: An Introduction to the Theory of Numbers

The Higher Arithmetic

The Higher Arithmetic

Analytic Methods for Diophantine Equations and Diophantine Inequalities (Cambridge Mathematical Library)

The Higher Arithmetic: An Introduction to the Theory of Numbers

The Higher Arithmetic: An Introduction to the Theory of Numbers

The Higher Arithmetic: An Introduction to the Theory of Numbers

Multiplicative Number Theory