Solomon Golomb's course on undergraduate combinatorics / Solomon W. Golomb, Andy Liu.
Golomb, Solomon W. (Solomon Wolf), author.; Liu, A. C. F. (Andrew Chiang-Fung), author.
2021
QA164 .G65 2021
Available Online

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Title Solomon Golomb's course on undergraduate combinatorics / Solomon W. Golomb, Andy Liu.
Author Golomb, Solomon W. (Solomon Wolf), author.
ISBN 9783030722289 (electronic bk.)
3030722287 (electronic bk.)
9783030722272
3030722279
DOI https://doi.org/10.1007/978-3-030-72228-9
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource
Other Standard Identifiers 10.1007/978-3-030-72228-9 doi
Call Number QA164 .G65 2021
Dewey Decimal Classification 511/.6
Summary This textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb's insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study. Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems. Solomon Golomb's Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book's many entertaining challenges.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 28, 2021).
Added Author Liu, A. C. F. (Andrew Chiang-Fung), author.
Available in Other Form Solomon Golomb's course on undergraduate combinatorics.
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0. Basic Tools
1. Combinations
2. Recurrence Relations and Generating Functions
3. Permutations
4. Special Numbers
5. Counting Under Symmetries
6. Combinatorial Structures
A. Additional Exercises
B. Additional Examples
C. Solutions to Odd-numbered Exercises
Bibliography
Index.

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