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Mathematical Concepts

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jost, Jürgen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo

MARC

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100 1 |a Jost, Jürgen.  |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Mathematical Concepts  |h [electronic resource] /  |c by Jürgen Jost. 
250 |a 1st ed. 2015. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2015. 
300 |a XV, 312 p. 130 illus., 16 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
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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.  . 
650 0 |a Algebraic geometry. 
650 0 |a Algebra, Homological. 
650 0 |a Universal algebra. 
650 0 |a Convex geometry . 
650 0 |a Discrete geometry. 
650 0 |a Geometry, Differential. 
650 0 |a Biomathematics. 
650 1 4 |a Algebraic Geometry. 
650 2 4 |a Category Theory, Homological Algebra. 
650 2 4 |a General Algebraic Systems. 
650 2 4 |a Convex and Discrete Geometry. 
650 2 4 |a Differential Geometry. 
650 2 4 |a Mathematical and Computational Biology. 
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773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319204352 
776 0 8 |i Printed edition:  |z 9783319204376 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-20436-9  |z Texto Completo 
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912 |a ZDB-2-SXMS 
950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)