Author: Ang, Whye-Teong Publisher: Universal Publishers Format: Adobe PDF
Description: This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering...
Author: Shoup, Victor Publisher: Cambridge University Press Format: Adobe PDF
Description: Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding t...
Author: Diamond,Harold G. / Halberstam,H. / Galway,William F. Publisher: Cambridge University Press Format: Adobe PDF
Description: Nearly a hundred years have passed since Viggo Brun invented his famous sieve, and the use of sieve methods is constantly evolving. As probability and combinatorics have penetrated the fabric of mathe...
Author: Hilton, Peter / Pedersen, Jean Publisher: Cambridge University Press Format: Adobe PDF
Description: This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Us...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Alan Baker's 60th birthday in August 1999 offered an ideal opportunity to organize a conference at ETH Zurich with the goal of presenting the state of the art in number theory and geometry. Many of th...
Author: Stopple, Jeffrey Publisher: Cambridge University Press Format: Adobe PDF
Description: This undergraduate introduction to analytic number theory develops analytic skills in the course of studying ancient questions on polygonal numbers, perfect numbers and amicable pairs. The question of...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has ...
Author: Platonov, Vladimir / Rapinchuk, Andrei / Rowen, Rachel Publisher: Elsevier S&T Format: Adobe PDF
Description: This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. Algebraic Groups and Number Theory provides the first systematic exposition in m...
Author: Davenport, H. Publisher: Cambridge University Press Format: Adobe PDF
Description: 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 ...
Author: Bugeaud, Yann Publisher: Cambridge University Press Format: Adobe PDF
Description: Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is acces...
Author: Allouche, Jean-Paul / Shallit, Jeffrey Publisher: Cambridge University Press Format: Adobe PDF
Description: Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated ...
Author: Goldfeld, Dorian Publisher: Cambridge University Press Format: Adobe PDF
Description: L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduct...
Author: Goldfeld, Dorian / Hundley, Joseph Publisher: Cambridge University Press Format: Adobe PDF
Description: This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a...
Author: Goldfeld, Dorian / Hundley, Joseph Publisher: Cambridge University Press Format: Adobe PDF
Description: This graduate-level textbook provides an elementary exposition of the theory of automorphic representations and L-functions for the general linear group in an adelic setting. Definitions are kept to a...
Author: Konyagin, Sergei / Shparlinski, Igor Publisher: Cambridge University Press Format: Adobe PDF
Description: The theme of this book is the study of the distribution of integer powers modulo a prime number. It provides numerous new, sometimes quite unexpected, links between number theory and computer science ...
Author: Arnold, V. I. Publisher: Cambridge University Press Format: Adobe PDF
Description: V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective struct...
Author: Tattersall, James J. Publisher: Cambridge University Press Format: Adobe PDF
Description: 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. Historical p...
Author: Tattersall, James J. Publisher: Cambridge University Press Format: Adobe PDF
Description: This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's appl...
Author: Koshy, Thomas Publisher: Elsevier S&T Format: Adobe PDF
Description: This second edition updates the well-regarded 2001 publication with new short sections on topics like Catalan numbers and their relationship to Pascal's triangle and Mersenne numbers, Pollard rho fact...
Author: Sierpinski, W. Publisher: Elsevier S&T Format: Adobe PDF
Description: Since the publication of the first edition of this work, considerable progress has been made in many of the questions examined. This edition has been updated and enlarged, and the bibliography has bee...
Author: Ash, Avner / Gross, Robert Publisher: Princeton University Press Format: Adobe PDF
Description: Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience,...
Author: Truesdell, Clifford Publisher: Academic Press Format: Adobe PDF
Description: Aimed at researchers and graduate students in mathematics, mechanical engineering, material science and physics. The second edition of this classic text has been completely revised. The original editi...
Author: Cojocaru, Alina / Murty, Ram Publisher: Cambridge University Press Format: Adobe PDF
Description: Sieve theory has a rich and romantic history. The ancient question of whether there exist infinitely many twin primes (primes p such that p+2 is also prime), and Goldbach's conjecture that every even ...
Author: Boothby, William M. Publisher: Academic Press Format: Adobe PDF
Description: This is a revised printing of one of the classic mathematics texts published in the last 25 years. This revised edition includes updated references and indexes and error corrections and will continue ...
Author: Alaca, Saban / Williams, Kenneth S. Publisher: Cambridge University Press Format: Adobe PDF
Description: Algebraic number theory is a subject which came into being through the attempts of mathematicians to try to prove Fermat's last theorem and which now has a wealth of applications to diophantine equati...
Author: Hellegouarch, Yves Publisher: Elsevier S&T Format: Adobe PDF
Description: Assuming only modest knowledge of undergraduate level math, Invitation to the Mathematics of Fermat-Wiles presents diverse concepts required to comprehend Wiles' extraordinary proof. Furthermore, it p...
Author: Baker,A. / W ?stholz,G. Publisher: Cambridge University Press Format: Adobe PDF
Description: There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafare...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, ...
