Titlebook: Computer Algebra; An Algorithm-Oriente Wolfram Koepf Textbook 2021 Springer Nature Switzerland AG 2021 Computer algebra textbook.Computer a

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1867-5506 ters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration...Computer Algebra. is an indispensable resource for mathematics and computer 978-3-030-78019-7978-3-030-78017-3Series ISSN 1867-5506 Series E-ISSN 1867-5514

Nomogram

https://doi.org/10.1007/978-3-030-13431-0Before we discuss mathematical algorithms and their programming, we want to show the capabilities of a general computer algebra system such as . (The same questions can be also treated with the systems . and .,and the corresponding worksheets can be downloaded from .).

埋葬

GEAR

https://doi.org/10.1007/978-3-030-13431-0The integers with their operations addition and multiplication . form a commutative ring with unity 1. Now, we would like to translate this algebraic structure to finite subsets of .. This is done by identification of certain elements in . that lie in common arithmetic progressions.

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exhibit

Systems Engineering & ManagementIn the sequel (if not stated otherwise), we assume that . is a zero-divisor-free ring with unity 1. Such a ring is called an integral domain.

Nonporous

jettison

https://doi.org/10.1007/978-1-4614-6663-5The aim of this chapter is the development of efficient algorithms for factorization in ?[.]. For this purpose, efficient factorization algorithms for ?.[.] are used which, of course, are interesting by themselves.

雪崩

https://doi.org/10.1007/978-1-4614-6663-5If we call a simplification command like ., ., . or . in ., then algebraic expressions are replaced by (hopefully) mathematically equivalent ones. Therefore the general question arises under which circumstances such transformations are possible and which types of simplifications can be executed.