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| by: John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff |
Combinatorics and Graph Theory (Undergraduate Texts in Mathematics)
By John M. Harris, Jeffry L. Hirst, Michael J. Mossinghoff
* Publisher: Springer
* Number Of Pages: 382
* Publication Date: 2008-09-19
* ISBN-10 / ASIN: 0387797106
* ISBN-13 / EAN: 9780387797106
Product Description:
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: (1) New sections in graph theory on distance, Eulerian trails, and hamiltonian paths. (2) New material on partitions, multinomial coefficients, and the pigeonhole principle. (3) 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. (4) Topics in combinatorial geometry, including Erdos and Szekeres’ development of Ramsey Theory in a problem about convex polygons determined by sets of points. (5) Expanded coverage of stable marriage problems, and new sections on marriage problems for infinite sets, both countable and uncountable. (6) 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
Summary: An excellent book
Rating: 5
I haven't gone through the whole book yet but the portion on graph theory that I have read is brilliantly written. The authors inject humor and beauty in the subject. If you are a self learner then this book is ideal for you. The only negative point is the total lack of answers/hints to the problems in the exercises.
http://ifile.it/4q95xel/combinatorics.rar
