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OverviewElements 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. Full Product DetailsAuthor: Thomas P. Dence (Ashland University, Ohio, U.S.A.) , Joseph B. Dence (University of Missouri, Columbia, U.S.A.)Publisher: Elsevier Science Publishing Co Inc Imprint: Academic Press Inc Edition: Annotated edition Dimensions: Width: 15.20cm , Height: 2.90cm , Length: 22.90cm Weight: 0.870kg ISBN: 9780122091308ISBN 10: 0122091302 Pages: 517 Publication Date: 28 January 1999 Audience: College/higher education , Tertiary & Higher Education Format: Hardback Publisher's Status: Out of Print Availability: In Print ![]() Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock. Table of ContentsPart 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 problemsReviewsI definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities. --Maureen Fenrick, Mankato State University The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text). --Frank DeMeyer, Colorado State University The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time! --Thomas McLaughlin, Texas Tech University I definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities. --Maureen Fenrick, Mankato State University The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text). --Frank DeMeyer, Colorado State University The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time! --Thomas McLaughlin, Texas Tech University I definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities. --Maureen Fenrick, Mankato State University The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text). --Frank DeMeyer, Colorado State University The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time! --Thomas McLaughlin, Texas Tech University """I definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities."" --Maureen Fenrick, Mankato State University ""The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text)."" --Frank DeMeyer, Colorado State University ""The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time!"" --Thomas McLaughlin, Texas Tech University" Author InformationTab Content 6Author Website:Countries AvailableAll regions |