Combinatorics and Graph Theory

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9780387797106: Combinatorics and Graph Theory

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

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Book Description:

From the reviews:

SIAM REVIEW

"The narrative and proofs are well written, and the authors are given to frequent uses of humor. Students should find this book as easy to read as any other good-quality text written with them in mind. Each of the three chapters concludes with several paragraphs describing an excellent selection of more advanced texts or papers to consider for further study"

From the reviews of the second edition:

“Any undergraduate work in combinatorics or graph theory, whether a course or independent study, would likely be well served by this textbook … . The authors offer a wide selection of topics, often in more depth than other undergraduate texts, in an engaging and clear style. … Each chapter concludes with extensive notes on further reading.” (Brian Hopkins, Mathematical Reviews, Issue 2010 b)

 “Combinatorics and Graph Theory is a popular pair of topics to choose for an undergraduate course. … The book is written in a reader-friendly style and there are enough exercises. … It is certainly good that someone took the effort to write … in a form that is appropriate for undergraduates. … the book will most often be used for a reading class by a student who already has a background in combinatorics and who wants to learn about the set theoretical aspect of it.” (Miklós Bóna, SIGACT News, Vol. 40 (3), 2009)

“This undergraduate textbook contains three chapters: Graph Theory, Combinatorics and Infinite Combinatorics and Graphs. … There is a short section on References in each chapter introducing briefly other books dealing with the topics covered in the respective chapter. A full list of 293 references, about 550 exercises and an index with 13 pages are also provided.” (Dalibor Froncek, Zentralblatt MATH, Vol. 1170, 2009)

Dalla quarta di copertina:

This book covers a wide variety of topics in combinatorics and graph theory. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline.

The second edition includes many new topics and features:

• New sections in graph theory on distance, Eulerian trails, and Hamiltonian paths.

• New material on partitions, multinomial coefficients, and the pigeonhole principle.

• Expanded coverage of Pólya Theory to include de Bruijn’s method for counting arrangements when a second symmetry group acts on the set of allowed colors.

• Topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points.

• Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable.

• Numerous new exercises throughout the book.

About the First Edition:

". . . this is what a textbook should be! The book is comprehensive without being overwhelming, the proofs are elegant, clear and short, and the examples are well picked."

— Ioana Mihaila, MAA Reviews

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
Editore: Springer-Verlag New York Inc., United States (2008)
ISBN 10: 0387797106 ISBN 13: 9780387797106
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Descrizione libro Springer-Verlag New York Inc., United States, 2008. Hardback. Condizione libro: New. 2nd ed. 2008. 236 x 152 mm. Language: English . Brand New Book. These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline. Codice libro della libreria AAZ9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
Editore: Springer-Verlag New York Inc., United States (2008)
ISBN 10: 0387797106 ISBN 13: 9780387797106
Nuovi Rilegato Quantità: 1
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Descrizione libro Springer-Verlag New York Inc., United States, 2008. Hardback. Condizione libro: New. 2nd ed. 2008. 236 x 152 mm. Language: English . Brand New Book. These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline. Codice libro della libreria AAZ9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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ISBN 10: 0387797106 ISBN 13: 9780387797106
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Descrizione libro Springer-Verlag New York Inc. 2008-09-01, New York, NY, 2008. hardback. Condizione libro: New. Codice libro della libreria 9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, Combinatorics and Graph Theory (2nd ed. 2008), John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff, These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline. Codice libro della libreria B9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
Editore: Springer-Verlag New York Inc. (2008)
ISBN 10: 0387797106 ISBN 13: 9780387797106
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Descrizione libro Springer-Verlag New York Inc., 2008. Condizione libro: New. 2008. 2nd ed. 2008. Hardcover. The second edition of this text on combinatorics and graph theory includes new material on an array topics ranging from Eulerian trails to combinatorial geometry to the pigeonhole principle. There are also numerous new exercises throughout the book. Series: Undergraduate Texts in Mathematics. Num Pages: 396 pages, 10 black & white tables, biography. BIC Classification: PBV. Category: (UU) Undergraduate. Dimension: 244 x 164 x 23. Weight in Grams: 732. . . . . . . Codice libro della libreria V9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
ISBN 10: 0387797106 ISBN 13: 9780387797106
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Descrizione libro Hardback. Condizione libro: New. Not Signed; These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as. book. Codice libro della libreria ria9780387797106_rkm

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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Descrizione libro Springer-Verlag New York Inc., 2008. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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Descrizione libro Springer, 2008. Hardcover. Condizione libro: New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. Codice libro della libreria V9780387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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Descrizione libro Springer, 2008. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387797106

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Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.
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ISBN 10: 0387797106 ISBN 13: 9780387797106
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Descrizione libro Springer-Verlag New York Inc. Condizione libro: New. 2008. 2nd ed. 2008. Hardcover. The second edition of this text on combinatorics and graph theory includes new material on an array topics ranging from Eulerian trails to combinatorial geometry to the pigeonhole principle. There are also numerous new exercises throughout the book. Series: Undergraduate Texts in Mathematics. Num Pages: 396 pages, 10 black & white tables, biography. BIC Classification: PBV. Category: (UU) Undergraduate. Dimension: 244 x 164 x 23. Weight in Grams: 732. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387797106

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