Knots, Links, Braids and 3-Manifolds: An Introduction to the New Invariants in Low-Dimensional Topology (Translations of Mathematical Monographs)

This book is intended for researchers working in geometry and topology.

Science & Math

Prasolov, V. V.

Sossinsky, A. B.

Mathematics

Amer Mathematical Society

This is the English translation of the book originally published in Russian. It contains 20 essays, each dealing with a separate mathematical topic. The topics range from brilliant mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle. The essays are independent of one another for the most part, and each presents a vivid mathematical result that led to current research in number theory, geometry, polynomial algebra, or topology.

Essays on Numbers and Figures (MATHEMATICAL WORLD)

Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the main goals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are supplied with hints or complete solutions.

Elements of Combinatorial and Differential Topology (Graduate Studies in Mathematics, Vol. 74)

Istoriya matematiki. Chast 2

Moskovskiy tsentr nepreryvnogo matematicheskogo obrazovaniya (MTsNMO)

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