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Viser: Mathematical Concepts

Mathematical Concepts
Søgbar e-bog

Mathematical Concepts Vital Source e-bog

Jürgen Jost
(2015)
Springer Nature
770,00 kr.
Leveres umiddelbart efter køb
Mathematical Concepts

Mathematical Concepts

Jürgen Jost
(2015)
Sprog: Engelsk
Springer International Publishing AG
840,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.

Detaljer om varen

  • Vital Source searchable e-book (Reflowable pages)
  • Udgiver: Springer Nature (September 2015)
  • ISBN: 9783319204369
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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Bookshelf online: 5 år fra købsdato.
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Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer om varen

  • Paperback: 334 sider
  • Udgiver: Springer International Publishing AG (September 2015)
  • ISBN: 9783319204352

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.

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