Books in category Mathematics – Topology  Page 3

Analytic Theory of Abelian Varieties
The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable.

Towards the Mathematics of Quantum Field Theory
The aim of this book is to introduce mathematicians (and, in particular, graduate students) to the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinatefree presentations of the …

NonAssociative Normed Algebras
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

A Mathematical Gift: The Interplay Between Topology, Functions …, Volume 2
This is the second of three volumes originated from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students (the translation of the first volume was published by the AMS in 2003).

The second in a series of three volumes that survey the theory of theta functions, this volume emphasizes the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the Korteweg …

New Developments in the Theory of Knots
This reprint volume focuses on recent developments in knot theory arising from mathematical physics, especially solvable lattice models, YangBaxter equation, quantum group and two dimensional conformal field theory.

Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.

Foundations of Modern Probability
The first edition of this single volume on the theory of probability has become a highlypraised standard reference for many areas of probability theory.

In Chapter 6, we describe the concept of braid equivalence from the topological point of view.

Together with standard topics, the book explains: polygonal and smooth presentations; the surgery equivalence of surfaces; the behaviour of invariants under factorisation and the satellite construction; the arithmetic of Conway's rational …