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Mathematics


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Mathematics
Differential Equations


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Featured Titles in Mathematics - Differential Equations
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Differential Equations
Differential Equations
by Paul Bugl
Book News Annotation
A modern study of differential equations written in a spirit of reform: the methods for solving differential equations appear only after a study of the models that generate the equations. The text's goal is the use of matrix methods for the solution... (read more)

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Handbook of Differential Equations: Stationary Partial Differential Equations
Handbook of Differential Equations: Stationary Partial Differential Equations
by Flaviano Battelli
Publisher Comments
A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching. -... (read more)

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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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Fundamentals of Differential Equations (8TH 12 Edition)
Fundamentals of Differential Equations (8TH 12 Edition)
by R. Kent Nagle
Publisher Comments
Fundamentals of Differential Equations presents the basic theory of differential equations and offers a variety of modern applications in science and engineering. Available in two versions, these flexible texts offer the instructor many choices in... (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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London Mathematical Society Lecture Note Series #310: Topics in Dynamics and Ergodic Theory
London Mathematical Society Lecture Note Series #310: Topics in Dynamics and Ergodic Theory
by Sergey Bezuglyi
Publisher Comments
This collection of survey papers by leading researchers in ergodic theory and low-dimensional and topological dynamics comprises nine chapters on a range of important topics. These include: the role and usefulness of ultrafilters in ergodic theory... (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)

Available June 2013
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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)

Available December 2013
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Cambridge Monographs on Applied and Computational Mathematic #22: The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids
Cambridge Monographs on Applied and Computational Mathematic #22: The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications: Micro to Macro, Fluids to Solids
by Rob Sturman
Publisher Comments
A unifying framework for understanding many types of fluid mixing, for researchers.... (read more)

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Studies in Industrial Organization #320: Opial Inequalities with Application in Differential and Difference Equations
Studies in Industrial Organization #320: Opial Inequalities with Application in Differential and Difference Equations
by R.p. Agarwal
Publisher Comments
In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book... (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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Differential Equations - With Access (4TH 12 Edition)
Differential Equations - With Access (4TH 12 Edition)
by Paul Blanchard
Publisher Comments
Incorporating an innovative modeling approach, this book for a one-semester differential equations course emphasizes conceptual understanding to help users relate information taught in the classroom to real-world experiences. Certain models reappear... (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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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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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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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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