Calculus and mathematical analysis

This book offers a detailed treatment of a class of algebro-geometric solutions and their representations.

This book is concerned with the coherent treatment, including the derivation, analysis, and applications, of the most useful scalar extrapolation methods.

This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic.

Applied Latent Class Analysis introduces several innovations in latent class analysis to a wider audience of researchers.

This book presents a detailed mathematical analysis of scattering theory, obtains soliton solutions, and analyzes soliton interactions, both scalar and vector.

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics.

This book studies the geometric theory of polynomials and rational functions in the plane.

An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

This 2003 book presents min-max methods through a study of the different faces of the Mountain Pass Theorem of Ambrosetti and Rabinowitz.

Monograph on Graph Directed Markov Systems with backgound and research level material.

An advanced 2003 undergraduate text on mathematical analysis designed for pure or applied mathematicians, covering theory as well as applications.

Overview of iterative solutions methods for systems of linear equations.

Graduate text on mathematical theory of conservation laws and partial differential equations.

This book covers the development of high-order numerical methods for the simulation of incompressible fluid flows in complex domains.

Thorough and self-contained study for graduate students and researchers.

This book, first published in 2003, is an indispensable introduction to the theory of operator spaces for graduate students and experts alike.

A comprehensive bibliography rounds off what will prove a very valuable work.

State of the art treatment of the subject with background and references for further reading.

This book provides a clear exposition of the flourishing field of fixed point theory.

This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.

Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications.

An introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.

This classic text offers a clear exposition of modern probability theory.

A broad introduction, perfect for a one-year graduate course.

A comprehensive look at the Schwarz-Christoffel transformation, including its many applications.

A self-contained text for an introductory course, this volume places strong emphasis on physical applications.

One of the clearest available introductions to variational methods, this text requires only a minimal background in calculus and linear algebra.

Readable and systematic, this volume offers coherent presentations of not only the general theory of linear equations with a single integration, but also of applications to differential equations, the calculus of variations, and special areas in mathematical physics.

This brief introductory text presents the basic principles of calculus from the engineering viewpoint.

Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics.

Written by a great English mathematician, this classic text begins with the differences of elementary functions and explores interpolation, mechanical quadrature, finite integration, and the summation of series.

Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions.

This classic work explains the theory and formulas behind Dirichlet's series and offers the first systematic account of Riesz's theory of the summation of series by typical means.

A pioneer of many modern developments in approximation theory, N.

Self-contained and suitable for undergraduate students, this text offers a working knowledge of calculus and statistics.

From his unusual beginning in "e;Defining a vector"e; to his final comments on "e;What then is a vector?

Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J.

One of the twentieth century's most original mathematicians and thinkers, Karl Menger taught students of many backgrounds.

This remarkable undergraduate-level text offers a study in calculus that simultaneously unifies the concepts of integration in Euclidean space while at the same time giving students an overview of other areas intimately related to mathematical analysis.

Second volume of a highly regarded two-volume set, fully usable on its own, examines physical systems that can usefully be modeled by equations of the first order.

Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations.

A classic of pure mathematics, this advanced graduate-level text explores the intersection of functional analysis and analytic function theory.

Geared toward undergraduate students, this text illustrates the use of vectors as a mathematical tool in plane synthetic geometry, plane and spherical trigonometry, and analytic geometry of two- and three-dimensional space.

This first volume of a highly regarded two-volume text is fully usable on its own.

Superb introduction devotes almost half its pages to numerical methods for solving partial differential equations, while the heart of the book focuses on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more.

A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation.

This text develops the theory of systems of stochastic differential equations, and it presents applications in probability, partial differential equations, and stochastic control problems.

This book by Robert Weinstock was written to fill the need for a basic introduction to the calculus of variations.

This incisive text deftly combines both theory and practical example to introduce and explore Fourier series and orthogonal functions and applications of the Fourier method to the solution of boundary-value problems.

"e;Substantial, detailed and rigorous .