Scottish Book

Scottish Book

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

Mauldin, R. Daniel

Birkhauser Verlag AG

03/2019

322

Mole

Inglês

9783319794327

15 a 20 dias

522

Descrição não disponível.
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 Erdoes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 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 Lwow of the West, P. Biler, P. Krupski, G. Plebanekand W. A. Woyczy?nski . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 291Part IV The New Scottish Book9 Selected Problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299
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Functional and Real Analysis;Group Theory;Lwow School of Mathematics;Measure and Set Theory;The Scottish Cafe;Topology