【2015新书】Mathematical Concepts
Book 图书名称: Mathematical Concepts
Author 作者: Jürgen Jost
Publisher 出版社: Springer
Page 页数: 312
Publishing Date 出版时间: Oct 12, 2015
Language 语言: English
Size 大小: 4 MB
Format 格式: pdf 文字版
ISBN: 3319204351, 9783319204352
Edition: 第1版 搜索过论坛,没有该文档
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.