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Number Theory: A Lively Introduction with Proofs, Applications, and Stories, is a new book that provides a rigorous yet accessible introduction to elementary number theory along with relevant applications. Readable discussions motivate new concepts and theorems before their formal definitions and statements are presented. Many theorems are preceded by Numerical Proof Previews, which are numerical examples that will help give students a concrete understanding of both the statements of the theorems and the ideas behind their proofs, before the statement and proof are formalized in more abstract terms. In addition, many applications of number theory are explained in detail throughout the text, including some that have rarely (if ever) appeared in textbooks.A unique feature of the book is... Less

...a fine book ... treats algebraic number theory from the valuation- theoretic viewpoint. When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has seomething extra to offer. This is not surprising, for it was h

From the reviews: "...a fine book [...] When it appeared in 1949 it was a pioneer. Now there are plenty of competing accounts. But Hasse has something extra to offer.[...] Hasse proved that miracles do happen in his five beautiful papers on quadratic forms of 1923-1924. [...]It is trite but true: Every number-theorist should have this book on his or her shelf." --Irving Kaplansky in Bulletin of the American Mathematical Society, 1981

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Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory.* In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings*... Less

This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones. Thus, on one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated.

First printed in 1967, this book has been essential reading for aspiring algebraic number theorists for more than forty years. It contains the lecture notes from an instructional conference held in Brighton in 1965, which was a milestone event that introduced class field theory as a standard tool of mathematics. There are landmark contributions from Serre and Tate. The book is a standard text for taught courses in algebraic number theory. This Second Edition includes a valuable list of errata compiled by mathematicians who have read and used the text over the years.

The aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.

Business professionals and engineers who need to gain a better understanding of mathematical reasoning will turn to "Number Theory." This new book provides them with a rigorous yet accessible introduction to elementary number theory along with its relevant application. Every chapter includes a "math myth," which is a fictional story that introduces an important number theory topic in a friendly, inviting manner. Many of the exercise sets include in-depth "explorations," in which a series of exercises develop a topic that is related to the material in the section. Several theorems are preceded by "Numerical Proof Previews," which are numerical examples that will help give business professionals and engineers a concrete understanding of both the statements of the theorems and the ideas... Less

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Half-Yearly Sale-save on select products for women & kids! Pre-order this style today! Add to Shopping Bag to view approximate ship date. You'll be charged only when your item ships.A stretch woolen blend creates a pair of cropped pants cut with a tailored silhouette that fits close to the leg. Color(s): bright cranberry, seagrass. Brand: theory. Style Name: Theory 'Sienna - Wool Stretch' Slim Leg Ankle Pants. Style Number: 555956. Manufacturer part number C0501233

Half-Yearly Sale-save on select products for women & kids! Pre-order this style today! Add to Shopping Bag to view approximate ship date. You'll be charged only when your item ships.A stretch woolen blend creates a pair of cropped pants cut with a tailored silhouette that fits close to the leg. Color(s): bright cranberry, seagrass. Brand: theory. Style Name: Theory 'Sienna - Wool Stretch' Slim Leg Ankle Pants. Style Number: 555956. Manufacturer part number C0501233

The majority of students who take courses in number theory are mathematics majors who will not become number theorists. Many of them will, however, teach mathematics at the high school or junior college level, and this book is intended for those students learning to teach, In addition to a careful presentation of the standard material usually taught in a first course in elementary number theory, this book includes a chapter on quadratic fields which the author has designed to make students think about some of the "obvious" concepts they have taken for granted earlier. The book also includes a large number of exercises, many of which are nonstandard.

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Half-Yearly Sale-save on select products for women & kids! Pre-order this style today! Add to Shopping Bag to view approximate ship date. You'll be charged only when your item ships.A stretch woolen blend creates a pair of cropped pants cut with a tailored silhouette that fits close to the leg. Color(s): bright cranberry, seagrass. Brand: theory. Style Name: Theory 'Sienna - Wool Stretch' Slim Leg Ankle Pants. Style Number: 555956. Manufacturer part number C0501233

Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory.* In-depth coverage of classical number theory * Thorough discussion of the theory of groups and rings*... Less

Number Theory is more than a comprehensive treatment of the subject. It is an introduction to topics in higher level mathematics, and unique in its scope; topics from analysis, modern algebra, and discrete mathematics are all included. Part A covers key concepts of number theory and could serve as a first course on the subject. Part B delves into more advanced topics and an exploration of related mathematics. Part B contains, for example, complete proofs of the Hasse-Minkowski theorem and the prime number theorem, as well as self-contained accounts of the character theory of finite groups and the theory of elliptic functions.The prerequisites for this self-contained text are elements from linear algebra. Valuable references for the reader are collected at the end of each chapter. It is... Less

Free Worldwide Delivery : An Introduction to the Theory of Numbers : Paperback : Oxford University Press : 9780199219865 : 0199219869 : 01 Oct 2008 : The sixth edition of the classic undergraduate text in elementary number theory includes a new chapter on elliptic curves and their role in the proof of Fermat's Last Theorem, a foreword by Andrew Wiles and extensively revised and updated end-of-chapter notes.

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Half-Yearly Sale-save on select products for women & kids! Pre-order this style today! Add to Shopping Bag to view approximate ship date. You'll be charged only when your item ships.A stretch woolen blend creates a pair of cropped pants cut with a tailored silhouette that fits close to the leg. Color(s): bright cranberry, seagrass. Brand: theory. Style Name: Theory 'Sienna - Wool Stretch' Slim Leg Ankle Pants. Style Number: 555956. Manufacturer part number C0501233

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An Introduction to the Theory of Numbers by G. H. Hardy and E. M. Wright is found on the reading list of virtually all elementary number theory courses and is widely regarded as the primary and classic text in elementary number theory. Developed under the guidance of D. R. Heath-Brown, this Sixth Edition of An Introduction to the Theory of Numbers has been extensively revised and updated to guide today's students through the key milestones and developments in number theory.Updates include a chapter by J. H. Silverman on one of the most important developments in number theory - modular elliptic curves and their role in the proof of Fermat's Last Theorem -- a foreword by A. Wiles, and comprehensively updated end-of-chapter notes detailing the key developments in number theory. Suggestions... Less