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Mathematical concepts

Jost, Jurgen.

Mathematical concepts

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical conceptsby Jurgen Jost.
作者:	Jost, Jurgen.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	xv, 312 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Mathematics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-20436-9
ISBN:	9783319204369$q(electronic bk.)

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$q(electronic bk.)

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

184409
Mathematics.

LC Class. No.: QA39.3

Dewey Class. No.: 510

Mathematical concepts
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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.
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650 2 4 $a Category Theory, Homological Algebra. $3 275954
650 2 4 $a General Algebraic Systems. $3 275666
650 2 4 $a Convex and Discrete Geometry. $3 277230
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