Differential Equations category: 700 books

Cover of That's Maths

That's Maths

The Mathematical Magic in Everyday Life

by Peter Lynch
Language: English
Release Date: October 14, 2016

From atom bombs to rebounding slinkies, open your eyes to the mathematical magic in the everyday. Mathematics isn’t just for academics and scientists, a fact meteorologist and blogger Peter Lynch has spent the past several years proving through his Irish Times newspaper column and blog, That’s...
Cover of Reversibility in Dynamics and Group Theory
by Anthony G. O'Farrell, Ian Short
Language: English
Release Date: May 28, 2015

Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility...
Cover of The Navier-Stokes Millenium Problem
by James Constant
Language: English
Release Date: August 4, 2013

Solutions of the Navier–Stokes equations often include turbulence, which remains one of the greatest unsolved problems in physics, despite its immense importance in science and engineering. The Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in...
Cover of Geometric Properties for Parabolic and Elliptic PDE's
by
Language: English
Release Date: November 27, 2012

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their...
Cover of Integral Methods in Science and Engineering, Volume 1
by
Language: English
Release Date: September 8, 2017

This contributed volume contains a collection of articles on the most recent advances in integral methods.  The first of two volumes, this work focuses on the construction of theoretical integral methods. Written by internationally recognized researchers, the chapters in this book are based on talks...
Cover of Integral Methods in Science and Engineering

Integral Methods in Science and Engineering

Theoretical and Computational Advances

by
Language: English
Release Date: October 13, 2015

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering.  Written by internationally recognized researchers, the chapters in this book are...
Cover of Painlevé III: A Case Study in the Geometry of Meromorphic Connections
by Claus Hertling, Martin A. Guest
Language: English
Release Date: October 14, 2017

The purpose of this monograph is two-fold:  it introduces a conceptual language for the geometrical objects underlying Painlevé equations,  and it offers new results on a particular Painlevé III equation of type  PIII (D6), called PIII (0, 0, 4, −4), describing its relation to isomonodromic...
Cover of Trends in Contemporary Mathematics
by
Language: English
Release Date: August 27, 2014

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising...
Cover of Hyperbolic Functions (illustrated)
by James McMahon
Language: English
Release Date: June 7, 2013

This compendium of hyperbolic trigonometry was first published as a chapter in Merriman and Woodward’s Higher Mathematics. There is reason to believe that it supplies a need, being adapted to two or three different types of readers. College students who have had elementary courses in...
Cover of Inverse Acoustic and Electromagnetic Scattering Theory
by David Colton, Rainer Kress
Language: English
Release Date: October 26, 2012

The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic...
Cover of Singular Perturbations

Singular Perturbations

Introduction to System Order Reduction Methods with Applications

by Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell
Language: English
Release Date: October 6, 2014

These lecture notes provide a fresh approach to investigating singularly perturbed systems using asymptotic and geometrical techniques. It gives many examples and step-by-step techniques, which will help beginners move to a more advanced level.   Singularly perturbed systems appear naturally in the...
Cover of An Introduction to the Kähler-Ricci Flow
by
Language: English
Release Date: October 2, 2013

This volume collects lecture notes from courses offered at several conferences and workshops, and provides the first exposition in book form of the basic theory of the Kähler-Ricci flow and its current state-of-the-art. While several excellent books on Kähler-Einstein geometry are available, there...
Cover of Nonlocal Diffusion and Applications
by Enrico Valdinoci, Claudia Bucur
Language: English
Release Date: April 8, 2016

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena. In addition to a simple probabilistic interpretation, some applications to water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schrödinger...
Cover of An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields
by Marco Bramanti
Language: English
Release Date: November 20, 2013

​Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview...
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