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Elements of Advanced Mathematics, Third Edition

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by Steven G. Krantz
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Elements of Advanced Mathematics, Third Edition by Steven G. Krantz

For many years, this classroom-tested, best-selling text has guided mathematics students to more advanced studies in topology, abstract algebra, and real analysis. Elements of Advanced Mathematics, Third Edition retains the content and character of previous editions while making the material more up-to-date and significant. This third edition adds four new chapters on point-set topology, theoretical computer science, the P/NP problem, and zero-knowledge proofs and RSA encryption. The topology chapter builds on the existing real analysis material. The computer science chapters connect basic set theory and logic with current hot topics in the technology sector. Presenting ideas at the cutting edge of modern cryptography and security analysis, the cryptography chapter shows students how mathematics is used in the real world and gives them the impetus for further exploration. This edition also includes more exercises sets in each chapter, expanded treatment of proofs, and new proof techniques. Continuing to bridge computationally oriented mathematics with more theoretically based mathematics, this text provides a path for students to understand the rigor, axiomatics, set theory, and proofs of mathematics. It gives them the background, tools, and skills needed in more advanced courses.

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Ebook Details
Pages: 367
Size: 1.8 MB
Publisher: CRC Press
Date published:   2012
ISBN: 9781439898352 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Set Theory

This author has products in the following categories:

Nonfiction > Mathematics > Discrete Mathematics
Nonfiction > Mathematics > Calculus
Nonfiction > Technology
Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Study & Teaching
Nonfiction > Mathematics > Differential Equations
Nonfiction > Mathematics
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Functional Analysis
Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Set Theory
Nonfiction > Mathematics > Arithmetic

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