Kummer’s work on cyclotomic fields paved the way for the development of algebraic number theory in general by Dedekind, Weber, Hensel, Hilbert, Takagi...
Category - MATHEMATICS BOOKS
The basic problem of deformation theory in algebraic geometry involves watching a small deformation of one member of a family of objects, such as varieties, or...
This is an introduction to diophantine geometry at the advanced graduate level. The book contains a proof of the Mordell conjecture which will make it quite...
This book was written to make learning introductory algebraic geometry as easy as possible. It is designed for the general first- and second-year graduate...
This book presents the fundamental function spaces and their duals, explores operator theory and finally develops the theory of distributions up to significant...
Beginning by developing the basics of ergodic theory and progressing to describe some recent applications to number theory, this book goes beyond the standard...
‘A Concise Introduction to the Theory of Integration’ was once a best-selling Birkhäuser title which published 3 editions. This manuscript is a substantial...
This graduate text, based on years of teaching experience, is intended for first or second year graduate students in pure mathematics. The main goal of the...
Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for...
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced...