Differential Equations category: 700 books
Mathematical Models for Suspension Bridges
Nonlinear Structural Instability
Language: English
Release Date: May 29, 2015
This work provides a detailed and up-to-the-minute survey of the various stability problems that can affect suspension bridges. In order to deduce some experimental data and rules on the behavior of suspension bridges, a number of historical events are first described, in the course of which several...
by Simon Serovajsky
Language: English
Release Date: September 13, 2017
Language: English
Release Date: September 13, 2017
Optimization and Differentiation is an introduction to the application of optimization control theory to systems described by nonlinear partial differential equations. As well as offering a useful reference work for researchers in these fields, it is also suitable for graduate students of optimal control theory.
A Course in Analysis
Vol. III: Measure and Integration Theory, Complex-Valued Functions of a Complex Variable
Language: English
Release Date: June 29, 2017
In this third volume of "A Course in Analysis", two topics indispensible for every mathematician are treated: Measure and Integration Theory; and Complex Function Theory.
In the first part measurable spaces and measure spaces are introduced and Caratheodory's extension theorem is...
Essential Mathematics for the Physical Sciences, Volume 1
Homogenous Boundary Value Problems, Fourier Methods, and Special Functions
Language: English
Release Date: October 31, 2017
Physics is expressed in the language of mathematics; it is deeply ingrained in how physics is taught and how it's practiced. A study of the mathematics used in science is thus asound intellectual investment for training as scientists and engineers. This first volume of two is centered on methods of...
by Al Boggess
Language: English
Release Date: September 20, 2017
Language: English
Release Date: September 20, 2017
CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and presents some of the most important recent developments in the field. The first half of the book covers the basic definitions and background material...
Complex Variables
A Physical Approach with Applications
Language: English
Release Date: April 16, 2019
The idea of complex numbers dates back at least 300 years—to Gauss and Euler, among others. Today complex analysis is a central part of modern analytical thinking. It is used in engineering, physics, mathematics, astrophysics, and many other fields. It provides powerful tools for doing mathematical...
by Robert F. Brown
Language: English
Release Date: November 27, 2014
Language: English
Release Date: November 27, 2014
This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully-expounded...
The Laplace Equation
Boundary Value Problems on Bounded and Unbounded Lipschitz Domains
Language: English
Release Date: March 31, 2018
This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines...
Sturm-Liouville Problems
Theory and Numerical Implementation
Language: English
Release Date: October 25, 2018
Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences. These problems lead to eigenvalue problems for ordinary and partial differential equations. Sturm-Liouville Problems: Theory and Numerical Implementation...
by Wilhelm Magnus, Stanley Winkler
Language: English
Release Date: October 29, 2013
Language: English
Release Date: October 29, 2013
The hundreds of applications of Hill's equation in engineering and physics range from mechanics and astronomy to electric circuits, electric conductivity of metals, and the theory of the cyclotron. New applications are continually being discovered and theoretical advances made since Liapounoff established...
Analysis as a Life
Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday
Language: English
Release Date: February 21, 2019
This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of Heinrich Begehr in complex analysis and complex differential equations, and especially to his prominent role as one...
by Elimhan N Mahmudov
Language: English
Release Date: August 25, 2011
Language: English
Release Date: August 25, 2011
Optimal control theory has numerous applications in both science and engineering.
This book presents basic concepts and principles of mathematical programming in terms of set-valued analysis and develops a comprehensive optimality theory of problems described by ordinary and partial differential...
Multi-Layer Potentials and Boundary Problems
for Higher-Order Elliptic Systems in Lipschitz Domains
Language: English
Release Date: January 5, 2013
Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is of second order a variety of tools are available for dealing with such problems,...
by Kiyoshi Mochizuki
Language: English
Release Date: June 1, 2017
Language: English
Release Date: June 1, 2017
The book is intended for students of graduate and postgraduate level, researchers in mathematical sciences as well as those who want to apply the spectral theory of second order differential operators in exterior domains to their own field. In the first half of this book, the classical results of...