International reprint edition of ISBN-13: 978-0321816191. Paperback. Published in China. Contents in ENGLISH and totally same as US Edition. (Follower sellers, such as "Sher's Warehouse", may sell you other cheap edition books)

A Friendly Introduction to Number Theory (4th Edition) (Featured Titles for Number Theory) Paperback

Science & Math

Joseph H. Silverman

Mathematics

Pearson

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number-theoretic properties of rational and algebraic points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs.This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)

Reference

Springer

A Friendly Introduction to Number Theory (Custom Edition for St. Joseph's Univeristy)

PEARSON/LEARNING SOLUTIONS

This monograph studies moduli problems associated to algebraic dynamical systems. It is an expanded version of the notes for a series of lectures delivered at a workshop on Moduli Spaces and the Arithmetic of Dynamical Systems at the Bellairs Research Institute, Barbados, in 2010. The author's goal is to provide an overview, with enough details and pointers to the existing literature, to give the reader an entry into this exciting area of current research. Topics covered include: (1) Construction and properties of dynamical moduli spaces for self-maps of projective space. (2) Dynatomic modular curves for the space of quadratic polynomials. (3) The theory of canonical heights associated to dynamical systems. (4) Special loci in dynamical moduli spaces, in particular the locus of post-critically finite maps. (5) Field of moduli and fields of definition for dynamical systems. Titles in this series are co-published with the Centre de Recherches Mathématiques

Moduli Spaces and Arithmetic Dynamics (CRM Monograph Series) (CRM Monograph Series, 30)

American Mathematical Society

Hispanic studies in honor of Joseph H. Silverman (Juan de la Cuesta Hispanic monographs)

Juan de la Cuesta

This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.

Abstract Algebra (Pure and Applied Undergraduate Texts, 55)

Abstract Algebra

Rational Points On Elliptic Curves

John Tate

Springer Science+Business Media

This book is out-of-print. The corrected edition (2006) has the ISBN 1-58871-106-4 (978-1-58871-106-9). The corrected edition contains the same content but includes numerous corrections.

Folk Literature of the Sephardic Jews, Vol. 5: Judeo-Spanish Ballads from Oral Tradition, No. 4: Carolingian Ballads (3): Gaiferos

History

World

In the introduction to the first volume of The Arithmetic of Elliptic Curves (Springer-Verlag, 1986), I observed that "the theory of elliptic curves is rich, varied, and amazingly vast," and as a consequence, "many important topics had to be omitted." I included a brief introduction to ten additional topics as an appendix to the first volume, with the tacit understanding that eventually there might be a second volume containing the details. You are now holding that second volume. it turned out that even those ten topics would not fit Unfortunately, into a single book, so I was forced to make some choices. The following material is covered in this book: I. Elliptic and modular functions for the full modular group. II. Elliptic curves with complex multiplication. III. Elliptic surfaces and specialization theorems. IV. Neron models, Kodaira-Neron classification of special fibers, Tate's algorithm, and Ogg's conductor-discriminant formula. V. Tate's theory of q-curves over p-adic fields. VI. Neron's theory of canonical local height functions.

Advanced Topics in the Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

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Books by Joseph H. Silverman