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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
Links to Related Works
Subject References:
Algebra
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Algebraic Geometry
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Category theory (Mathematics)
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Convex and Discrete Geometry
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Convex geometry
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Differential Geometry
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Discrete geometry
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General Algebraic Systems
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Homological algebra
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Authors:
Jost, Jürgen 1956-
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Corporate Authors:
SpringerLink (Online service)
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Classification:
516.35 (DDC 23)
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