eBook - ePub

The Elements of Advanced Mathematics

Name: The Elements of Advanced Mathematics
ISBN: 9781000593310

Steven G. Krantz,

296 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

The Elements of Advanced Mathematics

Steven G. Krantz,

About this book

This book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation.

What sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.

As would be expected in a fifth edition, the overall content and structure of the book are sound.

This new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated.

Additional new features include:

An emphasis on the art of proof.

Enhanced number theory chapter presents some easily accessible but still-unsolved problems. These include the Goldbach conjecture, the twin prime conjecture, and so forth.

The discussion of equivalence relations is revised to present reflexivity, symmetry, and transitivity before we define equivalence relations.

The discussion of the RSA cryptosystem in Chapter 8 is expanded.

The author introduces groups much earlier. Coverage of group theory, formerly in Chapter 11, has been moved up; this is an incisive example of an axiomatic theory.

Recognizing new ideas, the author has enhanced the overall presentation to create a fifth edition of this classic and widely-used textbook.

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Yes, you can access The Elements of Advanced Mathematics by Steven G. Krantz in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.