作者: I. R. Shafarevich

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This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoid …

This book, the first printing of which was published as volume 38 of the Encyclopaedia of Mathematical Sciences, presents a modern approach to homological algebra, based on the systematic use of the …

From the reviews: "… The book under review consists of two monographs on geometric aspects of group theory … Together, these two articles form a wide-ranging survey of combinatorial group th …

From the reviews: "… The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. … In any case the author succeeded to write a …

This EMS volume consists of two parts. The first part is devoted to the exposition of the cohomology theory of algebraic varieties. The second part deals with algebraic surfaces. The authors have tak …

The algebra of square matrices of size n ~ 2 over the field of complex numbers is, evidently, the best-known example of a non-commutative alge- 1 bra * Subalgebras and subrings of this algebra (for e …

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Group theory is one of the most fundamental branches ofmathematics. This volume of the Encyclopaedia is devoted totwo important subjects within group theory. The first partof the book is concerned wi …

The problems being solved by invariant theory are far-reaching generalizations and extensions of problems on the "reduction to canonical form" of various is almost the same thing, projectiv …

The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research. After giving the basic information Carter describes the Deligne-Lu …

This book was written over a period of more than six years. Several months after we finished our work, N.1. Fel’dman (the senior author of the book) died. All additions and corrections entered after …

Starting with the end of the seventeenth century, one of the most interesting directions in mathematics (attracting the attention as J. Bernoulli, Euler, Jacobi, Legendre, Abel, among others) has bee …