A Computational Introduction to Number Theory and Algebra by Cambridge University Press $62.00
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 theory. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are...
Asimov On Numbers by Bell Publishing Co. $4.99
The Higher Arithmetic: An Introduction to the Theory of Numbers by Dover Publications $6.95
Updated in a seventh edition, The Higher Arithmetic introduces concepts and theorems in a way that does not require the reader to have an in-depth knowledge of the theory of numbers, and also touches on matters of deep mathematical significance. This new edition includes state of the art material on the use of computers in number theory, as well as taking full account of the proving of Fermat's...
A Course in Number Theory and Cryptography (Graduate Texts in Mathematics) by Springer $39.00
This is a substantially revised and updated introduction to arithmetic topics, both ancient and modern, that have been at the centre of interest in applications of number theory, particularly in cryptography. As such, no background in algebra or number theory is assumed, and the book begins with a discussion of the basic number theory that is needed. The approach taken is algorithmic, emphasising...
Special Functions (Encyclopedia of Mathematics and its Applications) by Cambridge University Press $66.99
Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years several new special functions and applications have been discovered. This treatise presents an...
Ergodic Theory of Numbers (Carus Mathematical Monographs) by The Mathematical Association of America $45.00
This book is an introduction to the ergodic theory behind common number expansions, for instance decimal expansions, continued fractions and many others. The questions studied are dynamical as well as number theoretic in nature, and the answers are obtained with the help of ergodic theory. What it means to be ergodic and the basic ideas behind ergodic theory are explained along the way. The book...
Introduction to Number Theory by Springer-Verlag $159.00
Resources for Teaching Linear Algebra (MAA Notes) by The Mathematical Association of America $41.95
Series: MAA Notes A valuable resource for anyone teaching linear algebra. This book argues that the teaching of elementary linear algebra can be made more effective by emphasizing applications, exposition, and pedagogy. = Relevant applications serve as motivation for students and as sources of stimulating and challenging problems. =Effective exposition that finds the right way to communicate...
Diophantus and Diophantine Equations (Dolciani Mathematical Expositions) by The Mathematical Association of America $29.95
This book tells the story of Diophantine analysis, a subject that, owing to its thematic proximity to algebraic geometry, became fashionable in the last half century and has remained so ever since. This new treatment of the methods of Diophantus - a person whose very existence has long been doubted by most historians of mathematics - will be accessible to readers who have taken some university...
Geometric and Analytic Number Theory (Universitext) by Rudolf Taschner $47.95
Based on lectures given by Professor Hlawka in Vienna and in Pasadena, the book covers diophantine approximation, uniform distribution of numbers modulo 1 and geometry of numbers, as well as analytic number theory. It also proves the irrationality of zeta (3) and presents the important method of A. and H. Lenstra for the decomposition of polynomials, neither available in any other textbook....