Steven G. Krantz

The Elements of Advanced Mathematics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 312
• Erscheinungstermin: 20. Juni 2022
• Englisch
• ISBN-13: 9781000593280
• Artikelnr.: 64150218

Autorenporträt

Steven G. Krantz is a professor of mathematics at Washington University in St. Louis. He has previously taught at UCLA, Princeton University, and Pennsylvania State University. He has written more than 130 books and more than 250 scholarly papers and is the founding editor of the Journal of Geometric Analysis. An AMS Fellow, Dr. Krantz has been a recipient of the Chauvenet Prize, Beckenbach Book Award, and Kemper Prize. He received a Ph.D. from Princeton University.

Inhaltsangabe

1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Group Theory 6. Number Systems 7. More on the Real Number System 8. A Glimpse of Topology 9. Elementary Number Theory 10. Zero-Knowledge Proofs and Cryptography11. An Example of an Axiomatic Theory

Rezensionen

The great strength of the book overall and of the chapters I read is a very accessible writing style, and extremely good exercises. The mix of discussion of advanced topics alongside the presentation of more elementary material is excellent. This is a product of having a highly accomplished and knowledgeable mathematician writing a textbook intended for not-so-advanced students.--David Walnut, George Washington University