Books in category Mathematics – Topology  Page 3

Riemannian Geometry of Contact and Symplectic Manifolds
This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view.

This is the first textbook to include topics such as MorseSmale flows, Floer homology, minmax theory, moment maps and equivariant cohomology, and complex Morse theory.

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 …

Theory and Applications of Partial Functional Differential Equations
The aim of this book is to provide an introduction of the qualitative theory and applications of these equations from the dynamical systems point of view. The required prerequisites for that book are at a level of a graduate student.

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).

This book is based on an honors course in advanced calculus that the authors gave in the 1960's.

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.

What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series).

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 …

This book has been called a Workbook to make it clear from the start that it is not a conventional textbook.