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Nicholas Loehr

Combinatorics: Discrete Mathematics and its Applications 2nd Edition

by Nicholas Loehr (Author)

4.5 3 ratings

Part of: Discrete Mathematics and Its Applications (80 books)

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Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects. The author has written the textbook to be accessible to readers without any prior background in abstract algebra or combinatorics.

Part I of the second edition develops an array of mathematical tools to solve counting problems: basic counting rules, recursions, inclusion-exclusion techniques, generating functions, bijective proofs, and linear algebraic methods. These tools are used to analyze combinatorial structures such as words, permutations, subsets, functions, graphs, trees, lattice paths, and much more.

Part II cover topics in algebraic combinatorics including group actions, permutation statistics, symmetric functions, and tableau combinatorics.

This edition provides greater coverage of the use of ordinary and exponential generating functions as a problem-solving tool. Along with two new chapters, several new sections, and improved exposition throughout, the textbook is brimming with many examples and exercises of various levels of difficulty.

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About the Author

Nicholas Loehr is an associate professor of mathematics at Virginia Technical University.

Product details

Publisher ‏ : ‎ CRC Press; 2nd edition (August 18, 2017)
Language ‏ : ‎ English
Hardcover ‏ : ‎ 618 pages
ISBN-10 ‏ : ‎ 1498780253
ISBN-13 ‏ : ‎ 978-1498780254
Item Weight ‏ : ‎ 2.85 pounds
Dimensions ‏ : ‎ 7 x 1.25 x 9.75 inches

Best Sellers Rank: #3,310,230 in Books (See Top 100 in Books)
- #519 in Combinatorics (Books)
- #646 in Discrete Mathematics (Books)
- #13,678 in Applied Mathematics (Books)

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4.5 3 ratings

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Nicholas Loehr

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Dr. Nicholas Loehr currently teaches mathematics at Virginia Tech. He has published over 30 journal articles in combinatorics, abstract algebra, and related areas. His research interests include enumerative and algebraic combinatorics; symmetric and quasisymmetric polynomials; integer partitions, lattice paths, parking functions, and tableaux; bijective methods; and algorithm analysis. Dr. Loehr is also the recipient of four teaching awards.

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Costumer

Great Book, But Too Expensive!

Reviewed in the United States 🇺🇸 on September 12, 2021

This book is great, the writing is super clear, and better then most math textbooks.
To my opinion, books on combinatorics are often too concise and not readable. This book is well written and do not have this problem.

The reason why I deducted a star (and thought of deducting two stars) is the EXTREMLY HIGH retail price of the book.

I have read the online version, IDK what is the quality of the physical book.

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