The Scottish Book (eBook, PDF)

Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

• Format: PDF

Produktbeschreibung

Produktdetails

• Verlag: Springer International Publishing
• Erscheinungstermin: 26. November 2015
• Englisch
• ISBN-13: 9783319228976
• Artikelnr.: 44221652

Inhaltsangabe

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Part I The Scottish Book Conference Lectures1 An Anecdotal History of the Scottish Book, S. Ulam . . . . . . . . . . . . . . . . . . . . . 32 A Personal History of the Scottish Book, Mark Kac . . . . . . . . . . . . . . . . . . . . . . 133 Steinhaus and the Development of Polish Mathematics, A. Zygmund . . 214 My Scottish Book 'Problems', Paul Erdös . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 275 KKM-Maps, Andrzej Granas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355.1 Definition and examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 355.2 Ky Fan fixed point theorem and the minimax inequality. . . . . . . . . . . . . . 395.3 KKM-maps and variational inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 415.4 KKM-maps and the theory of games. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 435.5 Bibliographical and historical comments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47Part II The Scottish Book Problems6 Problems with Commentary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 517 Appendices to the Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2837.1 Problem Subject Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2837.2 Authors of the problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2857.3 Problems of Note. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 287Part III A Brief History of Wroclaw's New Scottish Book8 Lwów of the West, P. Biler, P. Krupski, G. Plebanekand W. A. Woyczy´nski . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291Part IV The New Scottish Book9 Selected Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299

Rezensionen

"The book under review is interesting not only for historians of mathematics. It gives a vivid picture of the mathematical life in Lvov between the world wars and offers an opportunity to see the people and ideas of that time that had an enormous influence on the development of mathematics." (Roman Murawski, zbMATH 1331.01039, 2016)