Homology Theory on Algebraic Varieties

Author: Andrew H. Wallace

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 128

View: 165

Concise and authoritative monograph, geared toward advanced undergraduate and graduate students, covers linear sections, singular and hyperplane sections, Lefschetz's first and second theorems, the Poincaré formula, and invariant and relative cycles. 1958 edition.

Algebraic Topology

Author: C. R. F. Maunder

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 375

View: 397

Based on lectures to advanced undergraduate and first-year graduate students, this is a thorough, sophisticated, and modern treatment of elementary algebraic topology, essentially from a homotopy theoretic viewpoint. Author C.R.F. Maunder provides examples and exercises; and notes and references at the end of each chapter trace the historical development of the subject.

Algebraic Topology

Homology and Cohomology

Author: Andrew H. Wallace

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 272

View: 756

Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

A Combinatorial Introduction to Topology

Author: Michael Henle

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 310

View: 482

Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.

The Theory of Algebraic Numbers

Author: Harry Pollard

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 162

View: 868

Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; Fermat conjecture. 1975 edition.

The Unity of Mathematics

In Honor of the Ninetieth Birthday of I.M. Gelfand

Author: Pavel Etingof

Publisher: Springer Science & Business Media

ISBN:

Category: Mathematics

Page: 632

View: 472

Tribute to the vision and legacy of Israel Moiseevich Gel'fand Written by leading mathematicians, these invited papers reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory Topics include conformal field theory, K-theory, noncommutative geometry, gauge theory, representations of infinite-dimensional Lie algebras, and various aspects of the Langlands program

Lectures on Linear Algebra

Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 185

View: 127

Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Elementary Theory of Numbers

Author: William Judson LeVeque

Publisher: Courier Corporation

ISBN:

Category: Mathematics

Page: 132

View: 961

Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography.