Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "down-to-earth" manner. It thus avoids local methods, for example, and presents proofs in a ...
The format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by a further 25...
This work could be the basis for a very nice one-semester ""transition"" course in which students evolve from users of theorems to creators of proofs. With their intuitive appeal and pictorial representations, graphs may be a better basis than analysis and limits for such a transtion."" - Choice
Daniel A. Marcus received his PhD from Harvard University. He was a J. Willard Gibbs Instructor at Yale University from 1972 to 1974 and Professor of Mathematics at California State Polytechnic University, Pomona, from 1979 to 2004.
Preface; 1. Introduction: problems of graph theory; 2. Basic concepts; 3. Isomorphic graphs; 4. Bipartite graphs; 5. Trees and forests; 6. Spanning tree algorithms; 7. Euler paths; 8. Hamilton paths and cycles; 9. Planar graphs; 10. Independence and covering; 11. Connections and obstructions; 12. Vertex coloring; 13. Edge coloring; 14. Matching theory for bipartite graphs; 15. Applications of matching theory; 16. Cycle-free digraphs; 17. Network flow theory; 18. Flow problems with lower bounds; Answers to selected problems; Index; About the author.