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Mathematics
Differential Equations


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Featured Titles in Mathematics - Differential Equations
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Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains (Frontiers in Mathematics)
Transmission Problems for Elliptic Second-Order Equations in Non-Smooth Domains (Frontiers in Mathematics)
by Mikhail Borsuk
Publisher Comments
The goal of this book is to investigate the behavior of weak solutions of the elliptic transmission problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is discussed for both linear and quasilinear... (read more)

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Lectures on Nonlinear Hyperbolic Differential Equations
Lectures on Nonlinear Hyperbolic Differential Equations
by Lars Hormander
Publisher Comments
This introduction to the theory of nonlinear hyperbolic differential equations, a revised and extended version of widely circulated lecture notes from 1986, starts from a very elementary level with standard existence and uniqueness theorems for ordinary... (read more)

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Operator Theory: Advances and Applications #214: Pseudo-Differential Operators: Analysis, Applications and Computations
Operator Theory: Advances and Applications #214: Pseudo-Differential Operators: Analysis, Applications and Computations
by Luigi Rodino
Publisher Comments
This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured... (read more)

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Philosophical Studies Series #413: Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
Philosophical Studies Series #413: Applications of Analytic and Geometric Methods to Nonlinear Differential Equations
by Peter A. Clarkson
Publisher Comments
In the study of integrable systems, two different approaches in particular have attracted considerable attention during the past twenty years. (1) The inverse scattering transform (IST), using complex function theory, which has been employed to solve... (read more)

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Mathematical Analysis and Numerical Methods for Science and Technology
Mathematical Analysis and Numerical Methods for Science and Technology
by R. Dautray
Publisher Comments
These 6 volumes - the result of a 10 year collaboration between the authors, two of France's leading scientists and both distinguished international figures - compile the mathematical knowledge required by researchers in mechanics, physics, engineering... (read more)

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Annals of Mathematics Studies #185: Degenerate Diffusion Operators Arising in Population Biology
Annals of Mathematics Studies #185: Degenerate Diffusion Operators Arising in Population Biology
by Charles L. Epstein
Publisher Comments
This book provides the mathematical foundations for the analysis of a class of degenerate elliptic operators defined on manifolds with corners, which arise in a variety of applications such as population genetics, mathematical finance, and economics. The... (read more)

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Computational Flexible Multibody Dynamics: A Differential-Algebraic Approach (Differential-Algebraic Equations Forum)
Computational Flexible Multibody Dynamics: A Differential-Algebraic Approach (Differential-Algebraic Equations Forum)
by Bernd Simeon
Publisher Comments
This monograph, written from a numerical analysis perspective, aims to provide a comprehensive treatment of both the mathematical framework and the numerical methods for flexible multibody dynamics. Not only is this field permanently and rapidly growing,... (read more)

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de Gruyter Studies in Mathematics #28: Painlevi Differential Equations in the Complex Plane
de Gruyter Studies in Mathematics #28: Painlevi Differential Equations in the Complex Plane
by Klaus Heller
Publisher Comments
This book is the first comprehensive treatment of Painlev differential equations in the complex plane. Starting with a rigorous presentation for the meromorphic nature of their solutions, the Nevanlinna theory will be applied to offer a detailed... (read more)

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Downward Causation and the Neurobiology of Free Will (Understanding Complex Systems)
Downward Causation and the Neurobiology of Free Will (Understanding Complex Systems)
by Nancey Murphy
Publisher Comments
How is free will possible in the light of the physical and chemical underpinnings of brain activity and recent neurobiological experiments? How can the emergence of complexity in hierarchical systems such as the brain, based at the lower levels in... (read more)

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Substitution Dynamical Systems - Spectral Analysis
Substitution Dynamical Systems - Spectral Analysis
by Martine Quefflec
Publisher Comments
This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata. Those sequences demonstrate fairly simple combinatorical and arithmetical properties and naturally... (read more)

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Cbms-Nsf Regional Conference Series in Applied Mathematics #83: Taylor Approximations for Stochastic Partial Differential Equations
Cbms-Nsf Regional Conference Series in Applied Mathematics #83: Taylor Approximations for Stochastic Partial Differential Equations
by Arnulf Jentzen
Book News Annotation
Most of the book is based on a lecture series Kloeden (mathematics, Goethe U., Frankfurt) delivered to the Illinois Institute of Technology in Chicago during August 2010, with additional material by Jentzen (Princeton U.). Among their topics are... (read more)

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Engineering Differential Equations: Theory and Applications
Engineering Differential Equations: Theory and Applications
by Bill Goodwine
Publisher Comments
This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering... (read more)

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Operator Theory: Advances and Applications #168: Partial Differential Equations and Functional Analysis: The Philippe Cla(c)Ment Festschrift
Operator Theory: Advances and Applications #168: Partial Differential Equations and Functional Analysis: The Philippe Cla(c)Ment Festschrift
by Erik Koelink
Publisher Comments
Capturing the state of the art of the interplay between partial differential equations, functional analysis, maximal regularity, and probability theory, this volume was initiated at the Delft conference on the occasion of the retirement of Philippe Cl... (read more)

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Harnack's Inequality for Degenerate and Singular Parabolic Equations (Springer Monographs in Mathematics)
Harnack's Inequality for Degenerate and Singular Parabolic Equations (Springer Monographs in Mathematics)
by Emmanuele Dibenedetto
Publisher Comments
Degenerate and singular parabolic equations have been the subject of extensive research for the last 25 years. Despite important achievements, the issue of the Harnack inequality for non-negative solutions to these equations, both of p-Laplacian and... (read more)

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A First Course in Differential Equations
A First Course in Differential Equations
by J. David Logan
Publisher Comments
J. David Logan is Willa Cather Professor of Mathematics at the University of Nebraska Lincoln. His extensive research is in the areas of theoretical ecology, hydrogeology, combustion, mathematical physics, and partial differential equations. He is the... (read more)

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Differential Equations with Boundary Value Problems
Differential Equations with Boundary Value Problems
by John C. Polking
Publisher Comments
0131559540 / 9780131559547  Differential Equations with Boundary Value Problems & Student Solutions Manual Package Package consists of:    0131437399 / 9780131437395 Student Solutions Manual for Differential Equations 0131862367 /... (read more)

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Differential Equations and Linear.. Application Man (3RD 09 Edition)
Differential Equations and Linear.. Application Man (3RD 09 Edition)
by Edwards
Publisher Comments
Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra... (read more)

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Mathematics & Its Applications #458: Estimators for Uncertain Dynamic Systems
Mathematics & Its Applications #458: Estimators for Uncertain Dynamic Systems
by A. I. Matasov
Publisher Comments
The optimal estimation problems for linear dynamic systems, and in particular for systems with aftereffect, reduce to different variational problems. The type and complexity of these variational problems depend on the process model, the model of... (read more)

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Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
Fuchsian Reduction: Applications to Geometry, Cosmology and Mathematical Physics
by Satyanad Kichenassamy
Publisher Comments
This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and Holder spaces as well as Nash-Moser implicit function theorem are provided. Most chapters contain a problem section and... (read more)

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Inverse Problems in Differential Equations
Inverse Problems in Differential Equations
by Gottfried Anger
Synopsis
Elucidates the fundamental mathematical structures of inverse problems, analyzing both the information content and the solution of some inverse problems in which the information content of the coefficients and the source term of a given differential... (read more)

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