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Number theory

Most popular at the top

  • Elementary Number Theory in Nine Chaptersby James J. Tattersall

    Cambridge University Press 1999; US$ 26.00

    This book is intended to serve as a one-semester introductory course in number theory and it includes a wealth of exercises. A historical perspective has been adopted and emphasis is given to some of the subject's applied aspects. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. more...

  • A Primer of Analytic Number Theoryby Jeffrey Stopple

    Cambridge University Press 2003; US$ 42.00

    This undergraduate-level introduction describes those mathematical properties of prime numbers that can be deduced with the tools of calculus. The capstone of the book is a brief presentation of the Riemann zeta function and of the significance of the Riemann Hypothesis. more...

  • A Panorama of Number Theory or The View from Baker's Gardenby Gisbert Wustholz

    Cambridge University Press 2002; US$ 139.00

    This book represents the highlights of a conference hosted at ETH Zurich. It will appeal to a broad spectrum of number theorists. However, it is also for research students interested in the state of number theory at the start of the 21st century and in possible developments for the future. more...

  • Number Theory Arising from Finite Fieldsby John Knopfmacher; Wen-Bin Zhang

    Marcel Dekker Inc 2001; US$ 199.95

    A discussion of advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions. more...

  • P-Adic Functional Analysisby A. K. Katsaras; W. H. Schikhof; L. Van Hamme

    Marcel Dekker Inc 2001; US$ 185.95

    A collection of lectures presented at the Sixth International Conference, held at the University of Ioannina, on p-adic functional analysis with applications in the fields of physics, differential equations, number theory, probability theory, dynamical systems, and algebraic number fields. more...

  • Analytic Number Theoryby Paul T Bateman; Harold G Diamond

    World Scientific 2004; US$ 101.40

    This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable ("elementary") and complex variable ("analytic") methods are employed. more...

  • A Computational Introduction to Number Theory and Algebraby Victor Shoup

    Cambridge University Press 2005; US$ 52.00

    This book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students. more...

  • Elementary Number Theory in Nine Chaptersby James J. Tattersall

    Cambridge University Press 2005; US$ 38.00

    This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject. more...

  • Introduction to Modern Number Theoryby Yu.I. Manin

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 159.00

    Introduction to Modern Number Theory surveys from a unified point of view both the modern state and the trends of continuing development of various branches of number theory. Motivated by elementary problems, the central ideas of modern theories are exposed. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories. Moreover, the authors have added a part dedicated to arithmetical cohomology and noncommutative geometry, a report on point counts on varieties... more...

  • Number Theoryby Wenpeng Zhang; Yoshio Tanigawa

    Springer-Verlag New York Inc 2006; US$ 115.00

    Including an array of examples, this is a collection of survey and research papers on various topics in number theory. Presenting both the traditional and modern approaches, it emphasizes a few common features such as functional equations for various zeta-functions, modular forms, congruence conditions, exponential sums, and algorithmic aspects. more...