Elements of the Theory of Numbers

Thomas P. Dence, Joseph B. Dence (Autoren)

Buch | Hardcover

517 Seiten

1999
Academic Press Inc (Verlag)
978-0-12-209130-8 (ISBN)

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Teaches students how to develop, implement, and test numerical methods for standard mathematical problems. In this title, the authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory.

Elements of the Theory of Numbers teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. Elements of the Theory of Numbers is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory.

Part I The Fundamentals
Introduction: The Primes
The Fundamental Theorem of Arithmetic and Its Consequences
An Introduction to Congruences
Polynomial Congruences
Primitive Roots
Residues
Multiplicative Functions
Part II Special Topics
Representation Problems
An Introduction to Number Fields
Partitions
Recurrence Relations

Appendix I: Notation
Appendix II: Mathematical Tables
Appendix III: Sample Final Examinations
Appendix IV: Hints and Answers to selected problems

Erscheint lt. Verlag	28.1.1999
Verlagsort	San Diego
Sprache	englisch
Maße	152 x 229 mm
Gewicht	870 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	0-12-209130-2 / 0122091302
ISBN-13	978-0-12-209130-8 / 9780122091308
Zustand	Neuware