Mathematical Logic in the 20th Century

Mathematical Logic in the 20th Century

Author: Gerald E. Sacks

Publisher: World Scientific

Published: 2003

Total Pages: 712

ISBN-13: 9789812564894

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This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.


Russian Mathematicians in the 20th Century

Russian Mathematicians in the 20th Century

Author: Yakov Sinai

Publisher: World Scientific

Published: 2003

Total Pages: 716

ISBN-13: 9789812383853

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In the 20th century, many mathematicians in Russia made great contributions to the field of mathematics. This invaluable book, which presents the main achievements of Russian mathematicians in that century, is the first most comprehensive book on Russian mathematicians. It has been produced as a gesture of respect and appreciation for those mathematicians and it will serve as a good reference and an inspiration for future mathematicians. It presents differences in mathematical styles and focuses on Soviet mathematicians who often discussed “what to do” rather than “how to do it”. Thus, the book will be valued beyond historical documentation.The editor, Professor Yakov Sinai, a distinguished Russian mathematician, has taken pains to select leading Russian mathematicians — such as Lyapunov, Luzin, Egorov, Kolmogorov, Pontryagin, Vinogradov, Sobolev, Petrovski and Krein — and their most important works. One can, for example, find works of Lyapunov, which parallel those of Poincaré; and works of Luzin, whose analysis plays a very important role in the history of Russian mathematics; Kolmogorov has established the foundations of probability based on analysis. The editor has tried to provide some parity and, at the same time, included papers that are of interest even today.The original works of the great mathematicians will prove to be enjoyable to readers and useful to the many researchers who are preserving the interest in how mathematics was done in the former Soviet Union.


Theorems of the 21st Century

Theorems of the 21st Century

Author: Bogdan Grechuk

Publisher: Springer

Published: 2019-06-15

Total Pages: 446

ISBN-13: 303019096X

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This book consists of short descriptions of 106 mathematical theorems, which belong to the great achievements of 21st century mathematics but require relatively little mathematical background to understand their formulation and appreciate their importance. The selected theorems of this volume, chosen from the famous Annals of Mathematics journal, cover a broad range of topics from across mathematics. Each theorem description is essentially self-contained, can be read independently of the others, and requires as little preliminary knowledge as possible. Although the sections often start with an informal discussion and toy examples, all the necessary definitions are included and each description culminates in the precise formulation of the corresponding theorem. Filling the gap between surveys written for mathematicians and popular mathematics, this book is intended for readers with a keen interest in contemporary mathematics.


Celtic Myth in the 21st Century

Celtic Myth in the 21st Century

Author: Emily Lyle

Publisher: University of Wales Press

Published: 2018-02-07

Total Pages: 226

ISBN-13: 1786832062

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This wide-ranging book contains twelve chapters by scholars who explore aspects of the fascinating field of Celtic mythology – from myth and the medieval to comparative mythology, and the new cosmological approach. Examples of the innovative research represented here lead the reader into an exploration of the possible use of hallucinogenic mushrooms in Celtic Ireland, to mental mapping in the interpretation of the Irish legend Táin Bó Cuailgne, and to the integration of established perspectives with broader findings now emerging at the Indo-European level and its potential to open up the whole field of mythology in a new way.