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Synopsis
This book introduces readers to the language of generating functions, which nowadays, is the main language of enumerative combinatorics. The book starts with definitions, simple properties, and numerous examples of generating functions. It then discusses topics such as formal grammars, generating functions in several variables, partitions and decompositions, and the exclusion-inclusion principle. In the final chapter, the author describes applications to enumeration of trees, plane graphs, and graphs embedded in two-dimensional surfaces. Throughout the book, the author motivates readers by giving interesting examples rather than general theories. It contains numerous exercises to help students master the material. The only prerequisite is a standard calculus course. The book is an excellent text for a one-semester undergraduate course in combinatorics.
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Lectures on Generating Functions (Student Mathematical Library, V. 23)
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American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions (Student Mathematical Library, V. 23)
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Amer Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Condition: New. Introduces readers to the language of generating functions, which is the main language of enumerative combinatorics. This book starts with definitions, simple properties, and many examples of generating functions. It discusses topics such as formal grammars, generating functions in several variables, and the exclusion-inclusion principle. Series: Student Mathematical Library. Num Pages: 148 pages, Illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 215 x 143 x 10. Weight in Grams: 202. . 2003. Paperback. . . . . Seller Inventory # V9780821834817
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Lectures on Generating Functions
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Condition: New. Introduces readers to the language of generating functions, which is the main language of enumerative combinatorics. This book starts with definitions, simple properties, and many examples of generating functions. It discusses topics such as formal grammars, generating functions in several variables, and the exclusion-inclusion principle. Series: Student Mathematical Library. Num Pages: 148 pages, Illustrations. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 215 x 143 x 10. Weight in Grams: 202. . 2003. Paperback. . . . . Books ship from the US and Ireland. Seller Inventory # V9780821834817
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Lectures on Generating Functions
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions (Student Mathematical Library, vol.23)
Published by
American Mathematical Society., 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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Lectures on Generating Functions (Student Mathematical Library, V. 23)
Published by
American Mathematical Society, 2003
ISBN 10: 0821834819
ISBN 13: 9780821834817
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