Mathematical Concepts

by Jürgen Jost (Author)
Uniquely presents abstract notions that are standard tools in some fields
Is a comprehensive survey of contemporary mathematics with many examples
Includes applications to theoretical biology

From the Back Cover
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used:

· simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure

· by itself as a first introduction to abstract mathematics

· together with existing textbooks, to put their results into a more general perspective

· to gain a new and hopefully deeper perspective after having studied such textbooks

Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.

About the Author
Written by one of the most experienced and successful authors of advanced mathematical textbooks.

Number of Illustrations and Tables
114 illus., 16 in colour

Topics
Algebraic Geometry
Category Theory, Homological Algebra
General Algebraic Systems
Convex and Discrete Geometry
Differential Geometry
Mathematical and Computational Biology