Mathematics

Mathematics
Title Mathematics PDF eBook
Author A. D. Aleksandrov
Publisher Courier Corporation
Pages 1120
Release 2012-05-07
Genre Mathematics
ISBN 0486157873

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Major survey offers comprehensive, coherent discussions of analytic geometry, algebra, differential equations, calculus of variations, functions of a complex variable, prime numbers, linear and non-Euclidean geometry, topology, functional analysis, more. 1963 edition.




Mathematics, Its Content, Methods, and Meaning

Mathematics, Its Content, Methods, and Meaning
Title Mathematics, Its Content, Methods, and Meaning PDF eBook
Author Matematicheskiń≠ institut im. V.A. Steklova
Publisher
Pages 384
Release 1964
Genre Mathematics
ISBN

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Methods of Applied Mathematics

Methods of Applied Mathematics
Title Methods of Applied Mathematics PDF eBook
Author Francis B. Hildebrand
Publisher Courier Corporation
Pages 386
Release 2012-06-08
Genre Mathematics
ISBN 0486138380

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This invaluable book offers engineers and physicists working knowledge of a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, but nevertheless extremely useful when applied to typical problems in many different fields. It deals principally with linear algebraic equations, quadratic and Hermitian forms, operations with vectors and matrices, the calculus of variations, and the formulations and theory of linear integral equations. Annotated problems and exercises accompany each chapter.




Meaning in Mathematics

Meaning in Mathematics
Title Meaning in Mathematics PDF eBook
Author John Polkinghorne
Publisher OUP Oxford
Pages 176
Release 2011-05-19
Genre Mathematics
ISBN 0191621897

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Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by tackling invented problems, or are mathematicians engaged in acts of discovery as they explore an independent realm of mathematical reality? Why does this seemingly abstract discipline provide the key to unlocking the deep secrets of the physical universe? How one answers these questions will significantly influence metaphysical thinking about reality. This book is intended to fill a gap between popular 'wonders of mathematics' books and the technical writings of the philosophers of mathematics. The chapters are written by some of the world's finest mathematicians, mathematical physicists and philosophers of mathematics, each giving their perspective on this fascinating debate. Every chapter is followed by a short response from another member of the author team, reinforcing the main theme and raising further questions. Accessible to anyone interested in what mathematics really means, and useful for mathematicians and philosophers of science at all levels, Meaning in Mathematics offers deep new insights into a subject many people take for granted.




Mathematics, second edition, Volume 3

Mathematics, second edition, Volume 3
Title Mathematics, second edition, Volume 3 PDF eBook
Author A. D. Aleksandrov
Publisher National Geographic Books
Pages 0
Release 1969-03-15
Genre Mathematics
ISBN 0262510030

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Available again from the MIT Press.




Mathematics Form and Function

Mathematics Form and Function
Title Mathematics Form and Function PDF eBook
Author Saunders MacLane
Publisher Springer Science & Business Media
Pages 486
Release 2012-12-06
Genre Mathematics
ISBN 1461248728

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This book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. My efforts have been encouraged by lec tures that I have given at Heidelberg under the auspices of the Alexander von Humboldt Stiftung, at the University of Chicago, and at the University of Minnesota, the latter under the auspices of the Institute for Mathematics and Its Applications. Jean Benabou has carefully read the entire manuscript and has offered incisive comments. George Glauberman, Car los Kenig, Christopher Mulvey, R. Narasimhan, and Dieter Puppe have provided similar comments on chosen chapters. Fred Linton has pointed out places requiring a more exact choice of wording. Many conversations with George Mackey have given me important insights on the nature of Mathematics. I have had similar help from Alfred Aeppli, John Gray, Jay Goldman, Peter Johnstone, Bill Lawvere, and Roger Lyndon. Over the years, I have profited from discussions of general issues with my colleagues Felix Browder and Melvin Rothenberg. Ideas from Tammo Tom Dieck, Albrecht Dold, Richard Lashof, and Ib Madsen have assisted in my study of geometry. Jerry Bona and B.L. Foster have helped with my examina tion of mechanics. My observations about logic have been subject to con structive scrutiny by Gert Miiller, Marian Boykan Pour-El, Ted Slaman, R. Voreadou, Volker Weispfennig, and Hugh Woodin.




Berkeley Problems in Mathematics

Berkeley Problems in Mathematics
Title Berkeley Problems in Mathematics PDF eBook
Author Paulo Ney de Souza
Publisher Springer Science & Business Media
Pages 614
Release 2004-01-08
Genre Mathematics
ISBN 9780387204291

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This book collects approximately nine hundred problems that have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions. Readers who work through this book will develop problem solving skills in such areas as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra.