جبر کامپیوتری و محاسبات نمادین: روش‌های ریاضی

mathematica, Maple, And Similar Software Packages Provide Programs That Carry Out Sophisticated Mathematical Operations. Applying The Ideas Introduced In Computer Algebra And Symbolic Computation: Elementary Algorithms, This Book Explores The Application Of Algorithms To Such Methods As Automatic Simplification, Polynomial Decomposition, And Polynomial Factorization. This Book Includes Complexity Analysis Of Algorithms And Other Recent Developments. It Is Well-suited For Self-study And Can Be Used As The Basis For A Graduate Course. Maintaining The Style Set By Elementary Algorithms, The Author Explains Mathematical Methods As Needed While Introducing Advanced Methods To Treat Complex Operations. "This text: is well-suited for self-study and can be used as the basis for an advanced undergraduate or beginning graduate course; maintains the style set by Elementary Algorithms; introduces advanced methods to treat complex operations; presents implementations in such programs as Mathematica, Maple, and MuPAD; and includes a CD with the complete text, hyperlinks, and algorithms as well as additional reference files.". "For the student, Mathematical Methods is an essential companion to Elementary Algorithms, illustrating applications of basic ideas. For the professional, Mathematical Methods is a look at new applications of familiar concepts."--BOOK JACKET. In this chapter we summarize the background material that provides a framework for the mathematical and computational discussions in the book.