The Elements of Advanced Mathematics: Textbooks in Mathematics
Autor Steven G. Krantzen Limba Engleză Paperback – 26 aug 2024
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.
Toate formatele și edițiile | Preț | Express |
---|---|---|
Paperback (1) | 405.55 lei 3-5 săpt. | +25.20 lei 4-10 zile |
CRC Press – 26 aug 2024 | 405.55 lei 3-5 săpt. | +25.20 lei 4-10 zile |
Hardback (1) | 591.99 lei 3-5 săpt. | +20.63 lei 4-10 zile |
CRC Press – 21 iun 2022 | 591.99 lei 3-5 săpt. | +20.63 lei 4-10 zile |
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Specificații
ISBN-13: 9781032102795
ISBN-10: 1032102799
Pagini: 312
Ilustrații: 72
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.58 kg
Ediția:5
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
Locul publicării:Boca Raton, United States
ISBN-10: 1032102799
Pagini: 312
Ilustrații: 72
Dimensiuni: 156 x 234 x 19 mm
Greutate: 0.58 kg
Ediția:5
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Textbooks in Mathematics
Locul publicării:Boca Raton, United States
Public țintă
Undergraduate AdvancedCuprins
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
Notă biografică
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 theJournal 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.
Recenzii
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
Descriere
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.