The Discrete Mathematical Charms of Paul Erdos
A Simple Introduction
Kiadó: Cambridge University Press
Megjelenés dátuma: 2021. augusztus 26.
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A termék adatai:
| ISBN13: | 9781108927406 |
| ISBN10: | 1108927408 |
| Kötéstípus: | Puhakötés |
| Terjedelem: | 266 oldal |
| Méret: | 243x169x10 mm |
| Súly: | 540 g |
| Nyelv: | angol |
| 820 |
Témakör:
Rövid leírás:
A captivating introduction to key results of discrete mathematics through the work of Paul Erd&&&337;s, blended with first-hand reminiscences.
Hosszú leírás:
Paul Erd&&&337;s published more papers during his lifetime than any other mathematician, especially in discrete mathematics. He had a nose for beautiful, simply-stated problems with solutions that have far-reaching consequences across mathematics. This captivating book, written for students, provides an easy-to-understand introduction to discrete mathematics by presenting questions that intrigued Erd&&&337;s, along with his brilliant ways of working toward their answers. It includes young Erd&&&337;s's proof of Bertrand's postulate, the Erd&&&337;s-Szekeres Happy End Theorem, De Bruijn-Erd&&&337;s theorem, Erd&&&337;s-Rado delta-systems, Erd&&&337;s-Ko-Rado theorem, Erd&&&337;s-Stone theorem, the Erd&&&337;s-R&&&233;nyi-S&&&243;s Friendship Theorem, Erd&&&337;s-R&&&233;nyi random graphs, the Chv&&&225;tal-Erd&&&337;s theorem on Hamilton cycles, and other results of Erd&&&337;s, as well as results related to his work, such as Ramsey's theorem or Deza's theorem on weak delta-systems. Its appendix covers topics normally missing from introductory courses. Filled with personal anecdotes about Erd&&&337;s, this book offers a behind-the-scenes look at interactions with the legendary collaborator.
'Va&&&353;ek Chv&&&225;tal was born to write this one-of-a-kind book. Readers cannot help but be captivated by the evident love with which every page has been written. The human side of mathematics is intertwined beautifully with first-rate exposition of first-rate results.' Donald Knuth, Stanford University
'Va&&&353;ek Chv&&&225;tal was born to write this one-of-a-kind book. Readers cannot help but be captivated by the evident love with which every page has been written. The human side of mathematics is intertwined beautifully with first-rate exposition of first-rate results.' Donald Knuth, Stanford University
Tartalomjegyzék:
Foreword; Preface; Acknowledgments; Introduction; 1. A glorious beginning - Bertrand's postulate; 2. Discrete geometry and spinoffs; 3. Ramsey's theorem; 4. Delta-systems; 5. Extremal set theory; 6. Van der Waerden's theorem; 7. Extremal graph theory; 8. The friendship theorem; 9. Chromatic number; 10. Thresholds of graph properties ; 11. Hamilton cycles; Appendix A. A few tricks of the trade; Appendix B. Definitions, terminology, notation; Appendix C. More on Erd&&&337;s; References; Index.
