This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers...
Category - ANALYSICS MATHEMATICS
The purpose of this book is to use problems and their solutions to communicate to the reader many of the central techniques and ideas of Hilbert spaces. The...
This book presents the basic tools of modern analysis within the context of what might be called the fundamental problem of operator theory: to c- culate...
Stochastic Filtering Theory uses probability tools to estimate unobservable stochastic processes that arise in many applied fields including communication...
Graduate students in mathematics, who want to travel light, will find this book invaluable; impatient young researchers in other fields will enjoy it as an...
Several natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The...
An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural...
The original edition […] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent...
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced...
Quantum cohomology has its origins in symplectic geometry and algebraic geometry, but is deeply related to differential equations and integrable systems. This...