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This concise introduction provides an entry point to the world of inverse problems and data assimilation for advanced undergraduates and beginning gra...Savoir plus
A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a comple...Savoir plus
This introductory text explores the theory of graph spectra: a topic with applications across a wide range of subjects, including computer science, qu...Savoir plus
Ransford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analys...Savoir plus
This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics inclu...Savoir plus
The theory of random graphs is a vital part of the education of any researcher entering the fascinating world of combinatorics. However, due to their ...Savoir plus
Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating...Savoir plus
The theory of D-modules is a rich area of study combining ideas from algebra and differential equations, and it has significant applications to divers...Savoir plus
This quick yet detailed introduction to set theory and forcing builds the reader's intuition about it as much as the mathematical detail. Intuition, r...Savoir plus
Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. The subje...Savoir plus
This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics inclu...Savoir plus
This book develops the combinatorics of Young tableaux and shows them in action in the algebra of symmetric functions, representations of the symmetri...Savoir plus
This 2006 treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been l...Savoir plus
This book is an introduction to twistor theory and modern geometrical approaches to space-time structure at the graduate or advanced undergraduate lev...Savoir plus
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classif...Savoir plus
Clifford algebras, built up from quadratic spaces, have applications in many areas of mathematics, as natural generalizations of complex numbers and t...Savoir plus
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formul...Savoir plus
The p-adic numbers, the earliest of local fields, were introduced by Hensel some 70 years ago as a natural tool in algebra number theory. Today the us...Savoir plus
This elegant introduction to symplectic geometry and Lagrangian foliations is suitable for students at both the undergraduate and the graduate level. ...Savoir plus
The focus of this book is the study of the noncommutative aspects of rings and modules, and the style will make it accessible to anyone with a backgro...Savoir plus
Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-c...Savoir plus
Over the past twenty-five years K-theory has become an integrated part of the study of C*-algebras. This book gives a very elementary introduction to ...Savoir plus
This book is a comprehensive and systematic account of the theory of p-adic and classical modular forms and the theory of the special values of arithm...Savoir plus
This text on analysis on Riemannian manifolds is a thorough introduction to topics covered in advanced research monographs on Atiyah-Singer index theo...Savoir plus