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Mathematical concepts

Jost, Jurgen.

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Mathematical concepts

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical concepts/ by Jurgen Jost.
Author:	Jost, Jurgen.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xv, 312 p. :ill., digital ;24 cm.
[NT 15003449]:	Overview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples.
Contained By:	Springer eBooks
Subject:	Mathematics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-20436-9
ISBN:	9783319204369

Mathematical concepts
Jost, Jurgen.

Mathematical concepts[electronic resource] /by Jurgen Jost. - Cham :Springer International Publishing :2015. - xv, 312 p. :ill., digital ;24 cm.

Overview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples.

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.

ISBN: 9783319204369

Standard No.: 10.1007/978-3-319-20436-9doiSubjects--Topical Terms:

515831
Mathematics.

LC Class. No.: QA39.3

Dewey Class. No.: 510

Mathematical concepts
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100 1 $a Jost, Jurgen. $3 897504
245 1 0 $a Mathematical concepts $h [electronic resource] / $c by Jurgen Jost.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xv, 312 p. : $b ill., digital ; $c 24 cm.
505 0 $a Overview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples.
520 $a 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.
650 0 $a Mathematics. $3 515831
650 0 $a Mathematics $x Philosophy. $3 523930
650 2 4 $a Algebraic Geometry. $3 893861
650 2 4 $a Category Theory, Homological Algebra. $3 899944
650 2 4 $a General Algebraic Systems. $3 897364
650 2 4 $a Convex and Discrete Geometry. $3 893686
650 2 4 $a Differential Geometry. $3 891003
650 2 4 $a Mathematical and Computational Biology. $3 1566274
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856 4 0 $u http://dx.doi.org/10.1007/978-3-319-20436-9
950 $a Mathematics and Statistics (Springer-11649)