02201 a2200253 4500001000700000003002100007005001700028008004100045020001800086040001600104082001700120100002600137245004300163260003000206300003300236504005100269505020100320520124600521650001801767650002901785942001201814999001901826952010201845137274ISI Library, Kolkata20161202123538.0161202b xxu||||| |||| 00| 0 eng d a9783319204352 aISI Library04a510223bJ841 aJost, Jurgen,eauthor10aMathematical concepts /cJurgen Jost, aCham :bSpringer, c2015. axv, 312 p. :bill. ;c26 cm. aIncludes bibliographical references and index.0 a1. Overview and perspective --
2. Foundations --
3. Relations --
4. Spaces --
5. What is space? --
6. Spaces of relations --
7. Structures --
8. Categories --
9. Topoi --
10. A review of examples. aThe 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. 0aMathematics. 0aMathematicsxPhilosophy. 2ddccBK c421179d421179 00104070aMAINbMAINd2016-11-03e4g4046.08l2m1o510 J84p137274r2018-07-02s2018-05-05yBK