Introduction to Combinatorics
Language: English
Published by CRC Press Jan 2017, 2017
Series: Book 35 of 67 - Discrete Mathematics and Its Applications
- Hardcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
AbeBooks seller since August 14, 2006
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Add to basketItem description from seller
Neuware - What Is Combinatorics Anyway Broadly speaking, combinatorics is the branch of mathematics dealingwith different ways of selecting objects from a set or arranging objects. Ittries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural questions: does there exist a selection or arrangement of objects with a particular set of properties The authors have presented a text for students at all levels of preparation.For some, this will be the first course where the students see several real proofs. Others will have a good background in linear algebra, will have completed the calculus stream, and will have started abstract algebra. The text starts by briefly discussing several examples of typical combinatorial problemsto give the reader a better idea of what the subject covers. The nextchapters explore enumerative ideas and also probability. It then moves on toenumerative functions and the relations between them, and generating functions and recurrences.,Important families of functions, or numbers and then theorems are presented. Brief introductions to computer algebra and group theory come next. Structures of particular interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. Theauthors conclude with further discussion of the interaction between linear algebraand combinatorics.Features - Two new chapters on probability and posets. - Numerous new illustrations, exercises, and problems. - More examples on current technology use - A thorough focus on accuracy - Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes, - Flexible use of MapleTM and MathematicaTM.…
Seller Inventory # 9781498777605
- Title
- Introduction to Combinatorics
- Author
- Walter D Wallis
- Publisher
- CRC Press Jan 2017
- Publication year
- 2017
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 1498777600
- ISBN 13
- 9781498777605
- Edition
- 2nd Edition
- Item weight
- 804 grams
- Dimensions
- 240x164x30 mm
- Series
- Book 35 of 67: Discrete Mathematics and Its Applications
What Is Combinatorics Anyway?
Broadly speaking, combinatorics is the branch of mathematics dealing
with different ways of selecting objects from a set or arranging objects. It
tries to answer two major kinds of questions, namely, counting questions: how many ways can a selection or arrangement be chosen with a particular set of properties; and structural
questions: does there exist a selection or arrangement of objects with a
particular set of properties?
The authors have presented a text for students at all levels of preparation.
For some, this will be the first course where the students see several real proofs.
Others will have a good background in linear algebra, will have completed the calculus
stream, and will have started abstract algebra.
The text starts by briefly discussing several examples of typical combinatorial problems
to give the reader a better idea of what the subject covers. The next
chapters explore enumerative ideas and also probability. It then moves on to
enumerative functions and the relations between them, and generating functions and recurrences.,
Important families of functions, or numbers and then theorems are presented.
Brief introductions to computer algebra and group theory come next. Structures of particular
interest in combinatorics: posets, graphs, codes, Latin squares, and experimental designs follow. The
authors conclude with further discussion of the interaction between linear algebra
and combinatorics.
Features
- Two new chapters on probability and posets.
- Numerous new illustrations, exercises, and problems.
- More examples on current technology use
- A thorough focus on accuracy
- Three appendices: sets, induction and proof techniques, vectors and matrices, and biographies with historical notes,
- Flexible use of MapleTM and MathematicaTM
"Synopsis" may belong to another edition of this title.
About the Author
W.D. Wallis is Professor Emeritus of Southern Illiniois University. John C George is Asscoiate Professor at Gordon State College.
"About the title" may belong to another edition of this title.
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