Accessible to undergraduate students, Introduction to Combinatorics presents approaches for solving counting and structural questions. It looks at how many ways a selection or arrangement can be chosen with a specific set of properties and determines if a selection or arrangement of objects exists that has a particular set of properties.
To give students a better idea of what the subject covers, the authors first discuss several examples of typical combinatorial problems. They also provide basic information on sets, proof techniques, enumeration, and graph theory—topics that appear frequently throughout the book. The next few chapters explore enumerative ideas, including the pigeonhole principle and inclusion/exclusion. The text then covers enumerative functions and the relations between them. It describes generating functions and recurrences, important families of functions, and the theorems of Pólya and Redfield. The authors also present introductions to computer algebra and group theory, before considering structures of particular interest in combinatorics: graphs, codes, Latin squares, and experimental designs. The last chapter further illustrates the interaction between linear algebra and combinatorics. Exercises and problems of varying levels of difficulty are included at the end of each chapter.
Ideal for undergraduate students in mathematics taking an introductory course in combinatorics, this text explores the different ways of arranging objects and selecting objects from a set. It clearly explains how to solve the various problems that arise in this branch of mathematics.
"synopsis" may belong to another edition of this title.
W.D. Wallis is Emeritus Professor of Mathematics at Southern Illinois University. His research interests include combinatorial designs, Latin squares, graph labeling, one-factorizations, and intelligent networks. Dr. Wallis is the author of Introduction to Combinatorial Designs, Second Edition (CRC Press, 2007).
J.C. George is an assistant professor of mathematics in the Division of Mathematics and Natural Sciences at Gordon College in Barnesville, Georgia. His research interests include one-factorizations, graph products, and the relationships of algebraic structures to combinatorial objects.
"About this title" may belong to another edition of this title.
Book Description Book Condition: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Bookseller Inventory # AIND-5363
Book Description Book Condition: Brand New. New. SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Customer Satisfaction guaranteed!!. Bookseller Inventory # SHUB63648
Book Description Book Condition: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-FEB-63648
Book Description Book Condition: New. New. International edition. Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Bookseller Inventory # ABE-BOOK-63648
Book Description Book Condition: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Bookseller Inventory # AUSBNEW-5363
Book Description Book Condition: Brand New. New, SoftCover International edition. Different ISBN and Cover image but contents are same as US edition. Excellent Customer Service. Bookseller Inventory # ABEUSA-63648
Book Description Chapman and Hall/CRC. Hardcover. Book Condition: New. 1439806225 NEW BOOK! HAS SOME SLIGHT SHELF WEAR! NO CD OR ACCESS CODE!!! FAST SHIPPING! GREAT CUSTOMER SERVICE! ENERGETIC TEAM!HONDY. Bookseller Inventory # SKU1007187
Book Description Hardcover. Book Condition: New. HARDCOVER Book, Condition: New. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 397 Pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Bookseller Inventory # 403247
Book Description Hardcover. Book Condition: New. New HARDCOVER International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Bookseller Inventory # 26473
Book Description Chapman and Hall/CRC, 2017. Hardcover. Book Condition: New. This item is printed on demand. Bookseller Inventory # P111439806225