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Mathematical Concepts

Mathematical Concepts
Catalogue Information
Field name Details
Dewey Class 516.35 (DDC 23)
Title Mathematical Concepts ([EBook]) / by Jürgen Jost.
Author Jost, Jürgen. , 1956-
Other name(s) SpringerLink (Online service)
Edition statement 1st ed. 2015.
Publication Cham : : Springer International Publishing, , 2015.
Physical Details XV, 312 p. 130 illus., 16 illus. in color. : online resource.
ISBN 9783319204369
Summary Note 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.  .:
Contents note Overview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-3-319-20436-9
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