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› Find signed collectible books: 'Algebra I: Basic Notions of Algebra (Encyclopaedia of Mathematical Sciences)'
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Comparable in style with Hermann Weyl's evergreen essay The Classical Groups, Shafarevich's new book is sure to become required reading for mathematicians, from beginners to experts.
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› Find signed collectible books: 'Algebra II: Noncommunicative Rings, Identities (Encyclopaedia of Mathematical Sciences)'
Book by Kostrikin A I
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› Find signed collectible books: 'Algebra IV: Infinite Groups, Linear Groups (Encyclopaedia of Mathematical Sciences)'
Group theory is one of the most fundamental branches of mathematics. This volume of the Encyclopaedia is devoted to two important subjects within group theory. The first part of the book is concerned with infinite groups. The authors deal with combinatorial group theory, free constructions through group actions on trees, algorithmic problems, periodic groups and the Burnside problem, and the structure theory for Abelian, soluble and nilpotent groups. They have included the very latest developments; however, the material is accessible to readers familiar with the basic concepts of algebra. The second part treats the theory of linear groups. It is a genuinely encyclopaedic survey written for non-specialists. The topics covered include the classical groups, algebraic groups, topological methods, conjugacy theorems, and finite linear groups. This book will be very useful to all mathematicians, physicists and other scientists including graduate students who use group theory in their work.
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› Find signed collectible books: 'Algebra VIII: Representations of Finite-Dimensional Algebras (Encyclopaedia of Mathematical Sciences)'
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› Find signed collectible books: 'Around Burnside (Ergebnisse Der Mathematik Und Ihrer Grenzgebiete 3 Folge)'
This is a truly encyclopaedic survey of the various aspects of the "restricted Burnside problem" and its surprising applications. Among many other things, it contains a detailed positive solution of the restricted Burnside problem for prime exponent, via Engel Lie algebras and so-called sandwiches. A new appendix to this translation contains a proof by E.I. Zel'manov of the existence of a recursive upper bound for the nilpotency class of a d-generator finite group of prime exponent p. Informative and illustrative comments grace the end of each chapter, and there is an extensive bibliography.
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› Find signed collectible books: 'Introduction to Algebra (Universitext)'
This textbook, written by a dedicated and successful pedagogue who developed the present undergraduate algebra course at Moscow State University, differs in several respects from other algebra textbooks available in English. The book reflects the Soviet approach to teaching mathematics with its emphasis on applications and problem-solving -- note that the mathematics department in Moscow is called the I~echanics-Mathematics" Faculty. In the first place, Kostrikin's textbook motivates many of the algebraic concepts by practical examples, for instance, the heated plate problem used to introduce linear equations in Chapter 1. In the second place, there are a large number of exercises, so that the student can convert a vague passive understanding to active mastery of the new ideas. Thes~ problems are intended to be challenging but doable by the student; the harder ones have hints at the back of the book. This feature also makes the book ideally suited for learning algebra on one's own outside of the framework of an organized course. In the third place, the author treats material which is usually not part of an elementary course but which is fundamental in applications. Thus, Part II includes an introduction to the classical groups and to representation theory. With many American colleges now trying to bring their undergraduate mathematics curriculum closer to applications, it seems worthwhile to translate Soviet textbooks which reflect their greater experience in this area of mathematical pedagogy.
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› Find signed collectible books: 'Linear algebra and geometry (Algebra, logic, and applications)'
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› Find signed collectible books: 'Orthogonal Decompositions and Integral Lattices (De Gruyter Expositions in Mathematics)'
Provides an exposition of orthoganal decompositions of complex simple Lie algebras and associated invariant Euclidean lattices. The text is divided into two parts. In Part I, the main result is the complete classification of complex simple Lie algebras admitting orthogonal decompositions with irredu
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› Find signed collectible books: 'Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev (Contemporary Mathematics, 131)'
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› Find signed collectible books: 'Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev (Contemporary Mathematics, 131) Parts 1,2,3. THREE VOLUME SET'
More editions of Proceedings of the International Conference on Algebra Dedicated to the Memory of A.I. Malcev (Contemporary Mathematics, 131) Parts 1,2,3. THREE VOLUME SET:
› Find signed collectible books: 'Around Burnside (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge: A Series of Modern Surveys in Mathematics)'
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