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Mathematics
Differential Equations


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Featured Titles in Mathematics - Differential Equations
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Dynamical Systems (Dover Books on Mathematics)
Dynamical Systems (Dover Books on Mathematics)
by Shlomo Sternberg
Publisher Comments
Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics... (read more)

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Singular perturbation methods for ordinary differential equations
Singular perturbation methods for ordinary differential equations
by Robert E. O'malley, Jr.
Publisher Comments
This book is intended to be used as a textbook and a reference to learn about singular perturbation methods and their use in applications. It presents a constructive approach which is primarily analytical, but which is also related to current efforts in... (read more)

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Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques (Applied and Numerical Harmonic Analysis)
Heat Kernels for Elliptic and Sub-Elliptic Operators: Methods and Techniques (Applied and Numerical Harmonic Analysis)
by Ovidiu Calin
Publisher Comments
This monograph is a unified presentation of several theories of finding explicit formulas for heat kernels for both elliptic and sub-elliptic operators. These kernels are important in the theory of parabolic operators because they describe the... (read more)

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Lecture Notes in Mathematics #1473: Functional Differential Equations with Infinite Delay
Lecture Notes in Mathematics #1473: Functional Differential Equations with Infinite Delay
by Yoshiyuki Hino
Publisher Comments
In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories,... (read more)

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Mathematical Modeling
Mathematical Modeling
by Ellis Cumberbatch
Publisher Comments
Presents thirteen different case studies, ranging from cooking of cereal to the analysis of epidemic waves in animal populations.... (read more)

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Applications of Lie Groups To Differential E 2ND Edition
Applications of Lie Groups To Differential E 2ND Edition
by Peter J Olver
Publisher Comments
A solid introduction to applications of Lie groups to differential equations which have proved to be useful in practice. The computational methods are presented such that graduates and researchers can readily learn to use them. Following an exposition of... (read more)

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Introduction to Ordinary Differential Equations, Student Solutions Manual
Introduction to Ordinary Differential Equations, Student Solutions Manual
by Shepley L. Ross
Publisher Comments
The Fourth Edition of the best-selling text on the basic concepts, theory, methods, and applications of ordinary differential equations retains the clear, detailed style of the first three editions. Includes new material on matrix methods, numerical... (read more)

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Applied Mathematical Sciences #172: Dynamical Systems and Chaos
Applied Mathematical Sciences #172: Dynamical Systems and Chaos
by Henk Broer
Publisher Comments
Over the last four decades there has been extensive development in the theory of dynamical systems. This book aims at a wide audience where the first four chapters have been used for an undergraduate course in Dynamical Systems. Material from the last... (read more)

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Pseudo-Differential Operators #2: Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
Pseudo-Differential Operators #2: Pseudo-Differential Operators and Symmetries: Background Analysis and Advanced Topics
by Michael Ruzhansky
Publisher Comments
This monograph develops a global quantization theory of pseudo-differential operators on compact Lie groups. Traditionally, the theory of pseudo-differential operators was introduced in the Euclidean setting with the aim of tackling a number of important... (read more)

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Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-47) (Princeton Mathematical)
Elliptic Partial Differential Equations and Quasiconformal Mappings in the Plane (PMS-47) (Princeton Mathematical)
by Kari Astala
Publisher Comments
This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the... (read more)

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Integrable Systems: Selected Papers
Integrable Systems: Selected Papers
by I. S. Et Al Novikov
Publisher Comments
This book considers the theory of 'integrable' non-linear partial differential equations. The theory was developed at first by mathematical physicists but later mathematicians, particularly from the Soviet Union, were attracted to the field. In this... (read more)

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Large Deviations at Saint-Flour (Probability at Saint-Flour)
Large Deviations at Saint-Flour (Probability at Saint-Flour)
by Robert Azencott
Publisher Comments
Founded in 1971, the Saint-Flour Probability Summer School is organised every year by the mathematics department of the Université Blaise Pascal at Clermont-Ferrand, France, and held in the pleasant surroundings of an 18th century seminary building in... (read more)

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Stability and Control #19: Lyapunov Functions in Differential Games
Stability and Control #19: Lyapunov Functions in Differential Games
by Vladislav Iosifovich Zhukovskii
Publisher Comments
A major step in differential games is determining an explicit form of the strategies of players who follow a certain optimality principle. To do this, the associated modification of Bellman dynamic programming problems has to be solved; for some... (read more)

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Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations (Springer Theses)
Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations (Springer Theses)
by Kelei Wang
Publisher Comments
In Bose-Einstein condensates from physics and competing species system from population dynamics, it is observed that different condensates (or species) tend to be separated. This is known as the phase separation phenomena. These pose a new class of free... (read more)

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Numerical Analysis 2000; V.6: Ordinary Differential Equations and Integral Equations.
Numerical Analysis 2000; V.6: Ordinary Differential Equations and Integral Equations.
by C. Baker Et Al
Publisher Comments
<BR>/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price !<P> <BR>This volume contains contributions in the area of differential equations and integral equations. Many numerical methods have arisen in... (read more)

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Differential Equations: An Introduction to Basic Concepts, Results and Applications Second Edition
Differential Equations: An Introduction to Basic Concepts, Results and Applications Second Edition
by Ioan I. Vrabie
Synopsis
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a... (read more)

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Mathematics and Its Applications #422: G-Convergence and Homogenization of Nonlinear Partial Differential Operators
Mathematics and Its Applications #422: G-Convergence and Homogenization of Nonlinear Partial Differential Operators
by A. A. Pankov
Publisher Comments
This volume deals with G-convergence and homogenization for various classes of nonlinear partial differential operators. Chapter 1 is devoted to some preliminary issues from nonlinear analysis as well as to G-convergence of abstract operators, including... (read more)

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Cambridge Tracts in Mathematics #0128: An Introduction to Maximum Principles and Symmetry in Elliptic Problems
Cambridge Tracts in Mathematics #0128: An Introduction to Maximum Principles and Symmetry in Elliptic Problems
by L. E. Fraenkel
Publisher Comments
Advanced text on differential equations, with plentiful supply of exercises all with detailed hints.... (read more)

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Cambridge Monographs on Applied and Computational Mathematic #05: Orthogonal Rational Functions
Cambridge Monographs on Applied and Computational Mathematic #05: Orthogonal Rational Functions
by Adhemar Bultheel
Publisher Comments
The book generalises the classical theory of orthogonal polynomials to rational functions.... (read more)

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Progress in Nonlinear Differential Equations and Their Appli #69: Phase Space Analysis of Partial Differential Equations
Progress in Nonlinear Differential Equations and Their Appli #69: Phase Space Analysis of Partial Differential Equations
by Antonio Bove
Publisher Comments
Covers phase space analysis methods, including microlocal analysis, and their applications to physics Treats the linear and nonnlinear aspects of the theory of PDEs Original articles are self-contained with full proofs; survey articles... (read more)

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