Topics in Classical Number Theory PDF Download

Author: Gábor Halász
Publisher:
ISBN:
Category : Number theory
Languages : en
Pages : 848

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Book Description

Author: Kenneth Ireland
Publisher: Springer Science & Business Media
ISBN: 147572103X
Category : Mathematics
Languages : en
Pages : 406

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Book Description
This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.

Author: Armel Mercier
Publisher: American Mathematical Soc.
ISBN: 9780821886182
Category : Mathematics
Languages : en
Pages : 358

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Book Description

Author: Emil Grosswald
Publisher: Springer Science & Business Media
ISBN: 0817648380
Category : Mathematics
Languages : en
Pages : 336

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Book Description
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.

Author: Hugh L. Montgomery
Publisher: Springer
ISBN: 354036935X
Category : Mathematics
Languages : en
Pages : 187

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Book Description

Author: Paulo Ribenboim
Publisher: Springer Science & Business Media
ISBN: 0387216901
Category : Mathematics
Languages : en
Pages : 676

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Book Description
The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the learning of more recent topics.

Author: Oystein Ore
Publisher: Courier Corporation
ISBN: 0486136434
Category : Mathematics
Languages : en
Pages : 404

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Book Description
Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography.

Author: Michael Th. Rassias
Publisher: Springer Science & Business Media
ISBN: 1441904956
Category : Mathematics
Languages : en
Pages : 336

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Book Description
The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Author: William J. LeVeque
Publisher: Courier Corporation
ISBN: 0486141500
Category : Mathematics
Languages : en
Pages : 292

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Book Description
This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.

Author: Minking Eie
Publisher: World Scientific
ISBN: 9812835180
Category : Mathematics
Languages : en
Pages : 295

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Book Description
This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the classical theory as well as a new theory on Jacobi forms over Cayley numbers developed by the author from 1990 to 2000. Applications to the classical Euler sums are of special interest to those who are eager to evaluate double Euler sums or more general multiple zeta values. The celebrated sum formula proved by Granville in 1997 is generalized to a more general form here.