The Diophantine Frobenius Problem

• First text to summarise the results of the Frobenius problem
• All main theorems treated
• Methods thoroughly illustrated with examples

Readership: Graduates and researchers in pure mathematics, particularly number theory

Jorge L. Ramírez Alfonsín, Maître de Conférences, Université Pierre et Marie Curie, Paris 6

"It is a carefully written book that maintains its rigor while successfully managing to cover a wide range of results. Historical remarks enrich the text by putting several scattered results in context. MathSciNet 2007"

"An invaluable addition to the mathematics discipline it represents a remarkable achievement. Studded with a huge list of helpful references," - Current Engineering Practice

"In the author's words, "This book aims to provide a comprehensive exposition of what is known today on the Frobenius problem." The author has delivered on this promise with remarkable success." - A. Sinan Sertoz, American Mathematical Society

"This is a marvelous publication which will be eagerly sought after by mathematicians round the world." - Current Engineering Practice

Preface
Acknowledgements
1: Algorithmic Aspects
2: The Frobenius Number for Small n
3: The General Problem
4: Sylvester Denumerant
5: Integers without Representation
6: Generalizations and Related Problems
7: Numerical Semigroups
8: Applications of the Frobenius Number
9: Appendix A
Bibliography