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Category Theory And Applications: A Textbook For Beginners (Hardcover, Second Edition)
Loot Price: R3,002
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Category Theory And Applications: A Textbook For Beginners (Hardcover, Second Edition)
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Category Theory now permeates most of Mathematics, large parts of
theoretical Computer Science and parts of theoretical Physics. Its
unifying power brings together different branches, and leads to a
better understanding of their roots.This book is addressed to
students and researchers of these fields and can be used as a text
for a first course in Category Theory. It covers the basic tools,
like universal properties, limits, adjoint functors and monads.
These are presented in a concrete way, starting from examples and
exercises taken from elementary Algebra, Lattice Theory and
Topology, then developing the theory together with new exercises
and applications.A reader should have some elementary knowledge of
these three subjects, or at least two of them, in order to be able
to follow the main examples, appreciate the unifying power of the
categorical approach, and discover the subterranean links brought
to light and formalised by this perspective.Applications of
Category Theory form a vast and differentiated domain. This book
wants to present the basic applications in Algebra and Topology,
with a choice of more advanced ones, based on the interests of the
author. References are given for applications in many other
fields.In this second edition, the book has been entirely reviewed,
adding many applications and exercises. All non-obvious exercises
have now a solution (or a reference, in the case of an advanced
topic); solutions are now collected in the last chapter.
General
Imprint: |
World Scientific Publishing Co Pte Ltd
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Country of origin: |
Singapore |
Release date: |
June 2021 |
First published: |
2021 |
Authors: |
Marco Grandis
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Format: |
Hardcover
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Pages: |
392 |
Edition: |
Second Edition |
ISBN-13: |
978-981-12-3608-2 |
Categories: |
Books
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LSN: |
981-12-3608-9 |
Barcode: |
9789811236082 |
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