Soviet Mathematics

Author : Loren R. Graham
Publisher : Cambridge University Press
Page : 354 pages
File Size : 51,5 Mb
Release : 1993
Category : Science
ISBN : 0521287898

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Science in Russia and the Soviet Union by Loren R. Graham Pdf

By the 1980s the Soviet scientific establishment had become the largest in the world, but very little of its history was known in the West. What has been needed for many years in order to fill that gap in our knowledge is a history of Russian and Soviet science written for the educated person who would like to read one book on the subject. This book has been written for that reader. The history of Russian and Soviet science is a story of remarkable achievements and frustrating failures. That history is presented here in a comprehensive form, and explained in terms of its social and political context. Major sections include the tsarist period, the impact of the Russian Revolution, the relationship between science and Soviet society, and the strengths and weaknesses of individual scientific disciplines. The book also discusses the changes brought to science in Russia and other republics by the collapse of communism in the late 1980s and early 1990s.

Author : E. T. Whittaker,George Neville Watson,G. N. Watson
Publisher : Cambridge University Press
Page : 620 pages
File Size : 40,9 Mb
Release : 1927
Category : Mathematics
ISBN : 0521588073

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A Course of Modern Analysis by E. T. Whittaker,George Neville Watson,G. N. Watson Pdf

This classic text is known to and used by thousands of mathematicians and students of mathematics thorughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principle transcendental functions.

Author : Alexander P. Karp,Bruce Ramon Vogeli
Publisher : World Scientific
Page : 398 pages
File Size : 44,5 Mb
Release : 2010
Category : Education
ISBN : 9789814277068

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Russian Mathematics Education by Alexander P. Karp,Bruce Ramon Vogeli Pdf

This anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia. Volume I, entitled The History and Relevance of Russian Mathematics Education, consists of several chapters written by distinguished authorities like Jeremy Kilpatrick and Bruce Vogeli. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.

Author : D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom
Publisher : Courier Corporation
Page : 480 pages
File Size : 54,7 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486319865

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The USSR Olympiad Problem Book by D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom Pdf

Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.

Author : R. V. Gamkrelidze
Publisher : CRC Press
Page : 204 pages
File Size : 50,5 Mb
Release : 1987-03-06
Category : Mathematics
ISBN : 2881241336

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Topological Groups by R. V. Gamkrelidze Pdf

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines the nature and processes that make up topological groups. Already hailed as the leading work in this subject for its abundance of examples and its thorough explanations, the text is arranged so that readers can follow the material either sequentially or schematically. Stand-alone chapters cover such topics as topological division rings, linear representations of compact topological groups, and the concept of a lie group.

Author : Vladimir A. Zorich
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 53,8 Mb
Release : 2004-01-22
Category : Mathematics
ISBN : 3540403868

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Mathematical Analysis I by Vladimir A. Zorich Pdf

This work by Zorich on Mathematical Analysis constitutes a thorough first course in real analysis, leading from the most elementary facts about real numbers to such advanced topics as differential forms on manifolds, asymptotic methods, Fourier, Laplace, and Legendre transforms, and elliptic functions.

Author : Arkadij L. Onishchik,Ernest B. Vinberg
Publisher : Springer Science & Business Media
Page : 347 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642743344

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Lie Groups and Algebraic Groups by Arkadij L. Onishchik,Ernest B. Vinberg Pdf

This book is based on the notes of the authors' seminar on algebraic and Lie groups held at the Department of Mechanics and Mathematics of Moscow University in 1967/68. Our guiding idea was to present in the most economic way the theory of semisimple Lie groups on the basis of the theory of algebraic groups. Our main sources were A. Borel's paper [34], C. ChevalIey's seminar [14], seminar "Sophus Lie" [15] and monographs by C. Chevalley [4], N. Jacobson [9] and J-P. Serre [16, 17]. In preparing this book we have completely rearranged these notes and added two new chapters: "Lie groups" and "Real semisimple Lie groups". Several traditional topics of Lie algebra theory, however, are left entirely disregarded, e.g. universal enveloping algebras, characters of linear representations and (co)homology of Lie algebras. A distinctive feature of this book is that almost all the material is presented as a sequence of problems, as it had been in the first draft of the seminar's notes. We believe that solving these problems may help the reader to feel the seminar's atmosphere and master the theory. Nevertheless, all the non-trivial ideas, and sometimes solutions, are contained in hints given at the end of each section. The proofs of certain theorems, which we consider more difficult, are given directly in the main text. The book also contains exercises, the majority of which are an essential complement to the main contents.

Author : Yakov Sinai
Publisher : World Scientific
Page : 716 pages
File Size : 41,7 Mb
Release : 2003
Category : Mathematics
ISBN : 9812383859

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Russian Mathematicians in the 20th Century by Yakov Sinai Pdf

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.

Author : Yakov Isidorovich Perelman
Publisher : Ishi Press
Page : 232 pages
File Size : 50,8 Mb
Release : 2011-09
Category : Mathematics
ISBN : 4871877108

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Algebra Can Be Fun by Yakov Isidorovich Perelman Pdf

This is a book of entertaining problems that can be solved through the use of algebra, problems with intriguing plots to excite the readers curiosity, amusing excursions into the history of mathematics, unexpected uses that algebra is put to in everyday affairs, and more. Algebra Can Be Fun has brought hundreds of thousands of youngsters into the fold of mathematics and its wonders. It is written in the form of lively sketches that discuss the multifarious (and exciting!) applications of algebra to the world about us. Here we encounter equations, logarithms, roots, progressions, the ancient and famous Diophantine analysis and much more. The examples are pictorial, vivid, often witty and bring out the essence of the matter at hand. There are numerous excursions into history and the history of algebra too. No one who has read this book will ever regard mathematics again in a dull light" Reviewers regard it as one of the finest examples of popular science writing.

Author : R. V. Gamkrelidze
Publisher : CRC Press
Page : 276 pages
File Size : 47,7 Mb
Release : 1987-03-06
Category : Mathematics
ISBN : 2881240356

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Algebraic and Differential Topology by R. V. Gamkrelidze Pdf

Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.

Author : Dmitry Fomin,Sergeĭ Aleksandrovich Genkin,Dmitriĭ Vladimirovich Fomin,Ilia Itenberg
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 55,9 Mb
Release : 1996
Category : Mathematics
ISBN : 9780821804308

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Mathematical Circles by Dmitry Fomin,Sergeĭ Aleksandrovich Genkin,Dmitriĭ Vladimirovich Fomin,Ilia Itenberg Pdf

What kind of book is this? It is a book produced by a remarkable cultural circumstance in the former Soviet Union which fostered the creation of groups of students, teachers, and mathematicians called "mathematical circles". The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive. This book is intended for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum.

Author : Edward Frenkel
Publisher : Basic Books
Page : 314 pages
File Size : 49,5 Mb
Release : 2013-10-01
Category : Mathematics
ISBN : 9780465069958

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Love and Math by Edward Frenkel Pdf

An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Author : Loren Graham,Jean-Michel Kantor
Publisher : Harvard University Press
Page : 252 pages
File Size : 40,6 Mb
Release : 2009-03-31
Category : History
ISBN : 9780674032934

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Naming Infinity by Loren Graham,Jean-Michel Kantor Pdf

In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.

Author : Viktor Vasil_evich Prasolov
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 49,8 Mb
Release : 1994-06-13
Category : Mathematics
ISBN : 9780821802366

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Problems and Theorems in Linear Algebra by Viktor Vasil_evich Prasolov Pdf

There are a number of very good books available on linear algebra. However, new results in linear algebra appear constantly, as do new, simpler, and better proofs of old results. Many of these results and proofs obtained in the past thirty years are accessible to undergraduate mathematics majors, but are usually ignored by textbooks. In addition, more than a few interesting old results are not covered in many books. In this book, the author provides the basics of linear algebra, with an emphasis on new results and on nonstandard and interesting proofs. The book features about 230 problems with complete solutions. It can serve as a supplementary text for an undergraduate or graduate algebra course.

Author : Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡
Publisher : Unknown
Page : 726 pages
File Size : 41,5 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015046577931

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Soviet Mathematics by Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡ Pdf