Calculus and mathematical analysis

For courses in Precalculus.

The powerful tool of functional integration is widely applied and shown to be user-friendly and mathematically robust.

A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering.

A text for first courses in financial calculus; lots of examples and exercises, first published in 2002.

In this book the author steers a simple and well-motivated path through the central ideas of real analysis.

The first comprehensive theoretical account of mathematical models for random and repeated fragmentation and coagulation over time.

In this introductory text, the fundamental algorithms of numerical linear algebra are developed in a parallel context.

A readable 2006 synthesis of three main areas in the modern theory of stochastic processes.

A manual and guide to good scientific computing style, explaining how to write good software and how to test it for bugs, accuracy and performance.

A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.

SuperFractals, first published in 2006, describes mathematics and algorithms for the first time in book form, with breathtaking colour pictures.

This book is an extensive introductory text to mathematical analysis for graduate students and advanced undergraduates, complete with 500 exercises and numerous examples.

This book is a resource for non-statisticians implementing filtering methods, which covers applications in finance, genetics and population.

Comprehensive treatment of 2-D wavelets for engineers, physicists and mathematicians.

This corrected and clarified second edition, first published in 2006, includes a new chapter on the Riemannian geometry of surfaces.

This book presents a self-contained graduate-level introduction to the topic of L-functions.

This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

This 2004 book presents a fascinating collection of problems related to the Cauchy-Schwarz inequality and coaches readers through solutions.

Account of method of solving soliton equations by the inventor of the method.

Graduate text decsribing two of the main tools for modern mathematical finance.

This book, first published in 2004, explores data envelopment analysis, which measures firms'' input-output efficiencies using mathematical programming techniques.

Up-to-the minute research on important stochastic processes.

Part two of comprehensive text on multidimensional real analysis.

Part one of a comprehensive text on multidimensional real analysis, including numerous exercises with partial solutions.

This book presents an introduction to the common ground between operator theory and linear systems theory.

A comprehensive account, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces.

A self-contained graduate-level introduction to the statistical mechanics of disordered systems.

A broad scope textbook for senior undergraduates starting computational physics courses, first published in 2006.

A first course in ordinary differential equations for mathematicians, scientists and engineers.

Gregory''s Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.

This monograph is a bridge between the classical theory and modern approach via arithmetic geometry.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

This book surveys statistical and perturbation methods for the solution of the general three body problem.

This text was the first book on the Lévy Laplacian that generalized classical work and could be widely applied.

This text is designed both for students of probability and stochastic processes, and for students of functional analysis.

A comprehensive introduction to preconditioning techniques, now an essential part of successful and efficient iterative solutions of matrices.

This book, first published in 2005, works to answer a wide range of problems involving boundary perturbations in the study of partial differential equations.

Gives a complete introduction to partial differential equations and numerical analysis for upper undergraduates and beginning graduates.

Indispensable to all working in systems theory, operator theory, delay equations and partial differential equations.

A complete introduction to partial differential equations, this is a textbook aimed at students of mathematics, physics and engineering.

A complete theoretical framework and guide to numerical geometric integration techniques.

This is a short course on Banach space theory applicable to many contemporary research arenas.

A fully revised and updated second edition of a popular undergraduate textbook on elementary probability theory.

Introduction to important topics in functional analysis from leading researchers.

This book, first published in 2003, provides a concise but sound treatment of ODEs, including IVPs, BVPs, and DDEs.

For students taking second courses; the subject is central and required at second year and above.

An introduction to numerical analysis combining rigour with practical applications, and providing numerous exercises plus solutions.

This 2003 edition is ideal for use in undergraduate and introductory graduate level courses in complex variables.

Provides an account of the use and properties of a type of complex integral representation that arises in the study of special functions.

This monograph presents the GRP algorithm and is accessible to researchers and graduate students alike.