Algorithms for Computer Algebra

algorithms For Computer Algebra Is The First Comprehensive Textbook To Be Published On The Topic Of Computational Symbolic Mathematics. The Book First Develops The Foundational Material From Modern Algebra That Is Required For Subsequent Topics. It Then Presents A Thorough Development Of Modern Computational Algorithms For Such Problems As Multivariate Polynomial Arithmetic And Greatest Common Divisor Calculations, Factorization Of Multivariate Polynomials, Symbolic Solution Of Linear And Polynomial Systems Of Equations, And Analytic Integration Of Elementary Functions. Numerous Examples Are Integrated Into The Text As An Aid To Understanding The Mathematical Development. The Algorithms Developed For Each Topic Are Presented In A Pascal-like Computer Language. An Extensive Set Of Exercises Is Presented At The End Of Each Chapter. Algorithms For Computer Algebra Is Suitable For Use As A Textbook For A Course On Algebraic Algorithms At The Third-year, Fourth-year, Or Graduate Level. Although The Mathematical Development Uses Concepts From Modern Algebra, The Book Is Self-contained In The Sense That A One-term Undergraduate Course Introducing Students To Rings And Fields Is The Only Prerequisite Assumed. The Book Also Serves Well As A Supplementary Textbook For A Traditional Modern Algebra Course, By Presenting Concrete Applications To Motivate The Understanding Of The Theory Of Rings And Fields. booknews begins By Developing The Foundational Material From Modern Algebra That Is Required For Subsequent Topics, Then Presents A Thorough Development Of Modern Computational Algorithms For Such Problems As Multivariate Polynomial Arithmetic And Greatest Common Divisor Calculations, Factorization Of Multivariate Polynomials, Symbolic Solution Of Linear And Polynomial Systems Of Equations, And Analytic Integration Of Elementary Functions. Algorithms Are Presented In A Pascal-like Language. Examples And Exercises Are Provided. Annotation C. Book News, Inc., Portland, Or (booknews.com) __Algorithms for Computer Algebra__ is the first comprehensive textbook to be published on the topic of computational symbolic mathematics. The book first develops the foundational material from modern algebra that is required for subsequent topics. It then presents a thorough development of modern computational algorithms for such problems as multivariate polynomial arithmetic and greatest common divisor calculations, factorization of multivariate polynomials, symbolic solution of linear and polynomial systems of equations, and analytic integration of elementary functions. Numerous examples are integrated into the text as an aid to understanding the mathematical development. The algorithms developed for each topic are presented in a Pascal-like computer language. An extensive set of exercises is presented at the end of each chapter. __Algorithms for Computer Algebra__ is suitable for use as a textbook for a course on algebraic algorithms at the third-year, fourth-year, or graduate level. Although the mathematical development uses concepts from modern algebra, the book is self-contained in the sense that a one-term undergraduate course introducing students to rings and fields is the only prerequisite assumed. The book also serves well as a supplementary textbook for a traditional modern algebra course, by presenting concrete applications to motivate the understanding of the theory of rings and fields. Neural Systems: Analysis and Modeling contains the collected papers of the 1991 Conference on Analysis and Modeling of Neural Systems (AMNS), and the papers presented at the satellite symposium on compartmental modeling, held July 23-26, 1992, in San Francisco, California.