Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 440

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages :

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Author: Alexander P. Karp
Publisher: World Scientific
ISBN: 9814277061
Category : Education
Languages : en
Pages : 398

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Book Description
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:
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 624

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Author: Vladimir Maz'ya
Publisher: Springer
ISBN: 3662099225
Category : Mathematics
Languages : en
Pages : 506

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Book Description
The Sobolev spaces, i. e. the classes of functions with derivatives in L , occupy p an outstanding place in analysis. During the last two decades a substantial contribution to the study of these spaces has been made; so now solutions to many important problems connected with them are known. In the present monograph we consider various aspects of Sobolev space theory. Attention is paid mainly to the so called imbedding theorems. Such theorems, originally established by S. L. Sobolev in the 1930s, proved to be a useful tool in functional analysis and in the theory of linear and nonlinear par tial differential equations. We list some questions considered in this book. 1. What are the requirements on the measure f1, for the inequality q

Author: Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 748

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Author: Soviet Union. Ministerstvo vysshego i srednego spet︠s︡ialʹnogo obrazovanii︠a︡
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 604

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Author: Arkadij L. Onishchik
Publisher: Springer Science & Business Media
ISBN: 364274334X
Category : Mathematics
Languages : en
Pages : 347

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Book Description
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:
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 584

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Author: Christopher Hollings
Publisher: American Mathematical Society
ISBN: 1470414937
Category : Mathematics
Languages : en
Pages : 457

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Book Description
The theory of semigroups is a relatively young branch of mathematics, with most of the major results having appeared after the Second World War. This book describes the evolution of (algebraic) semigroup theory from its earliest origins to the establishment of a full-fledged theory. Semigroup theory might be termed `Cold War mathematics' because of the time during which it developed. There were thriving schools on both sides of the Iron Curtain, although the two sides were not always able to communicate with each other, or even gain access to the other's publications. A major theme of this book is the comparison of the approaches to the subject of mathematicians in East and West, and the study of the extent to which contact between the two sides was possible.