Calculus & Mathematical Analysis

The leading scientists who gave these papers under the sponsorship of the Royal Society in early 1987 provide reviews of facets of the subject of c...

Analysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesima...

Many economic theories depend on the presence or absence of a unit root for their validity, and econometric and statistical theory undergo consider...

Originating from the authors' own graduate course at the University of North Carolina, this material has been thoroughly tried and tested over many...

Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, ...

Aimed at graduates and researchers, and requiring only a basic knowledge of multi-variable calculus, this introduction to computer-based partial di...

From Measures to Itô Integrals gives a clear account of measure theory, leading via L2-theory to Brownian motion, Itô integrals and a brief look at...

A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a com...

The theory of unitary group representations began with finite groups, and blossomed in the twentieth century both as a natural abstraction of class...

The study of complex variables is beautiful from a purely mathematical point of view, and very useful for solving a wide array of problems arising ...

The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written b...

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the la...

This is the first of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume 1...

This is a practical guide to P-splines, a simple, flexible and powerful tool for smoothing. P-splines combine regression on B-splines with simple, ...

Optimization and Regularization for Computational Inverse Problems and Applications focuses on advances in inversion theory and recent developments...

This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local u...

Using numerical integration, it is possible to predict the individual motions of a group of a few celestial objects interacting with each other gra...

There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an...

This self-contained text introduces Euclidean Fourier Analysis to graduate students who have completed courses in Real Analysis and Complex Variabl...

This is the second of three volumes that form the Encyclopedia of Special Functions, an extensive update of the Bateman Manuscript Project. Volume ...

This text offers an excellent introduction to the mathematical theory of wavelets for senior undergraduate students. Despite the fact that this the...

This undergraduate textbook is a rigorous mathematical introduction to dynamical systems and an accessible guide for students transitioning from ca...