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Elements of Discrete Mathematics
Numbers and Counting, Groups, Graphs, Orders and Lattices
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Language:
English
Published/Copyright:
2024
About this book
This book treats the elements of discrete mathematics that have important applications in computer science, thus providing the necessary tools for the reader to come to a competent mathematical judgement of modern developments in the age of information. Almost all assertions are shown with full proofs. Exercises are provided, with solutions presented in full detail.
- A modern approach to complex analysis of one and multiple variables.
- Well suited for introductory and advanced courses on complex analysis.
- Contains a large number of problems with selected solutions
Author / Editor information
Volker Diekert, Manfred Kufleitner, Ulrich Hertrampf, University of Stuttgart; Gerhard Rosenberger, University of Hamburg, Germany.
Topics
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Frontmatter
I -
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Preface
V -
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Acknowledgment
IX -
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Notation
XI -
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Contents
XV -
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1 Algebraic structures
1 -
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2 Elementary number theory
15 -
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3 Some useful growth estimates
42 -
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4 Discrete probability
56 -
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5 Combinatorics
65 -
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6 Generating functions
108 -
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7 Group actions and special families of groups
126 -
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8 Graph theory
144 -
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9 Order structures and lattices
185 -
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10 Boolean functions and circuits
212 -
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Solutions
221 -
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Bibliography
251 -
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Index
253
Publishing information
Pages and Images/Illustrations in book
eBook published on:
December 31, 2023
eBook ISBN:
9783111062556
Paperback published on:
December 31, 2023
Paperback ISBN:
9783111060699
Pages and Images/Illustrations in book
Front matter:
18
Main content:
262
Illustrations:
5
Keywords for this book
Exact and asymptotic enumeration; Flows in graphs; Graph theory; communication theory. Boolean functions and circuits.
Audience(s) for this book
Undergraduate and graduate students in computer science and mathematics.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
