<p>This book still remains the best introduction to computer algebra, catering to both the interested beginner and the experienced pure mathematician and computer scientist. This updated Second Edition provides a comprehensive review, and contains excellent references to fundamental papers and worked examples. In addition to being a general text on the subject, the book includes an appendix describing the use of one particular algebra system-REDUCE.</p>

Computer Algebra, Second Edition: Systems and Algorithms for Algebraic Computation

Computers & Technology

Davenport, J. H.

Siret, Y.

Tournier, Evelyne

Programming

Academic Press

Now into its Eighth edition, The Higher Arithmetic introduces the classic concepts and theorems of number theory in a way that does not require the reader to have an in-depth knowledge of the theory of numbers The theory of numbers is considered to be the purest branch of pure mathematics and is also one of the most highly active and engaging areas of mathematics today. Since earlier editions, additional material written by J. H. Davenport has been added, on topics such as Wiles' proof of Fermat's Last Theorem, computers & number theory, and primality testing. Written to be accessible to the general reader, this classic book is also ideal for undergraduate courses on number theory, and covers all the necessary material clearly and succinctly.

The Higher Arithmetic

Science & Math

Mathematics

Cambridge University Press

<p>Algebraic computations.- Coates' algorithm.- Risch's theorem.- The problem of torsion divisors.- Gauss-Manin operators.- Elliptic integras concluded.- Curves over algebaic number fields.</p>

On the Integration of Algebraic Functions (Lecture Notes in Computer Science, 102)

Springer

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