Introduction to Partial Differential Equations

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we model that with PDE? What techniques can we use to analyze the PDE? How do those techniques apply to this equation? What information or insight did we obtain by developing and analyzing the PDE? The text stresses the interplay between modeling and mathematical analysis, providing a thorough source of problems and an inspiration for the development of methods.

Produk Detail:

  • Author : David Borthwick
  • Publisher : Springer
  • Pages : 283 pages
  • ISBN : 3319489364
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKIntroduction to Partial Differential Equations

Introduction to Partial Differential Equations

Introduction to Partial Differential Equations
  • Author : David Borthwick
  • Publisher : Springer
  • Release : 12 January 2017
GET THIS BOOKIntroduction to Partial Differential Equations

This modern take on partial differential equations does not require knowledge beyond vector calculus and linear algebra. The author focuses on the most important classical partial differential equations, including conservation equations and their characteristics, the wave equation, the heat equation, function spaces, and Fourier series, drawing on tools from analysis only as they arise. Within each section the author creates a narrative that answers the five questions: What is the scientific problem we are trying to understand? How do we

Partial Differential Equations

Partial Differential Equations
  • Author : Walter A. Strauss
  • Publisher : John Wiley & Sons
  • Release : 21 December 2007
GET THIS BOOKPartial Differential Equations

Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables. While focusing on the three most classical partial differential equations (PDEs)—the wave, heat, and Laplace equations—this detailed text also presents a broad practical perspective that merges mathematical concepts with real-world application in diverse areas including molecular structure, photon and electron interactions, radiation of electromagnetic waves, vibrations of a solid, and many more. Rigorous pedagogical

Ordinary and Partial Differential Equations

Ordinary and Partial Differential Equations
  • Author : Victor Henner,Tatyana Belozerova,Mikhail Khenner
  • Publisher : CRC Press
  • Release : 29 January 2013
GET THIS BOOKOrdinary and Partial Differential Equations

Covers ODEs and PDEs—in One Textbook Until now, a comprehensive textbook covering both ordinary differential equations (ODEs) and partial differential equations (PDEs) didn’t exist. Fulfilling this need, Ordinary and Partial Differential Equations provides a complete and accessible course on ODEs and PDEs using many examples and exercises as well as intuitive, easy-to-use software. Teaches the Key Topics in Differential Equations The text includes all the topics that form the core of a modern undergraduate or beginning graduate course

An Introduction to Partial Differential Equations

An Introduction to Partial Differential Equations
  • Author : Michael Renardy,Robert C. Rogers
  • Publisher : Springer Science & Business Media
  • Release : 18 April 2006
GET THIS BOOKAn Introduction to Partial Differential Equations

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

Partial Differential Equations

Partial Differential Equations
  • Author : Lawrence C. Evans
  • Publisher : American Mathematical Soc.
  • Release : 12 August 2022
GET THIS BOOKPartial Differential Equations

This is the second edition of the now definitive text on partial differential equations (PDE). It offers a comprehensive survey of modern techniques in the theoretical study of PDE with particular emphasis on nonlinear equations. Its wide scope and clear exposition make it a great text for a graduate course in PDE. For this edition, the author has made numerous changes, including a new chapter on nonlinear wave equations, more than 80 new exercises, several new sections, a significantly expanded bibliography.

Partial Differential Equations

Partial Differential Equations
  • Author : Marcelo Epstein
  • Publisher : Springer
  • Release : 29 April 2017
GET THIS BOOKPartial Differential Equations

This monograph presents a graduate-level treatment of partial differential equations (PDEs) for engineers. The book begins with a review of the geometrical interpretation of systems of ODEs, the appearance of PDEs in engineering is motivated by the general form of balance laws in continuum physics. Four chapters are devoted to a detailed treatment of the single first-order PDE, including shock waves and genuinely non-linear models, with applications to traffic design and gas dynamics. The rest of the book deals with

Partial Differential Equations I

Partial Differential Equations I
  • Author : Michael E. Taylor
  • Publisher : Springer Science & Business Media
  • Release : 29 October 2010
GET THIS BOOKPartial Differential Equations I

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations.The book is targeted at

Partial Differential Equations

Partial Differential Equations
  • Author : Lipman Bers,Fritz John,Martin Schechter
  • Publisher : American Mathematical Soc.
  • Release : 12 August 1964
GET THIS BOOKPartial Differential Equations

Reintroduced in 2004, this important book is back in print from the AMS. The material is presented in two main parts. The first part, .Hyperbolic and Parabolic Equations., written by F. John, contains a well-chosen assortment of material which is designed to give an understanding of some problems and techniques involving hyperbolic and parabolic equations. The emphasis is on illustrating the subject without attempting to survey it. The point of view is classical, which serves well in furnishing insight into the

Partial Differential Equations

Partial Differential Equations
  • Author : Friedrich Sauvigny
  • Publisher : Springer Science & Business Media
  • Release : 05 October 2006
GET THIS BOOKPartial Differential Equations

This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations

Tools and Problems in Partial Differential Equations

Tools and Problems in Partial Differential Equations
  • Author : Thomas Alazard,Claude Zuily
  • Publisher : Springer Nature
  • Release : 19 October 2020
GET THIS BOOKTools and Problems in Partial Differential Equations

This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations. Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier-Stokes equations. Essentially self-contained, the book begins with problems on the necessary tools from functional analysis, distributions, and the theory of functional spaces, and in each

Nonlinear Partial Differential Equations

Nonlinear Partial Differential Equations
  • Author : Mi-Ho Giga,Yoshikazu Giga,Jürgen Saal
  • Publisher : Springer Science & Business Media
  • Release : 30 May 2010
GET THIS BOOKNonlinear Partial Differential Equations

This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.

Basic Partial Differential Equations

Basic Partial Differential Equations
  • Author : David. Bleecker
  • Publisher : CRC Press
  • Release : 18 January 2018
GET THIS BOOKBasic Partial Differential Equations

Methods of solution for partial differential equations (PDEs) used in mathematics, science, and engineering are clarified in this self-contained source. The reader will learn how to use PDEs to predict system behaviour from an initial state of the system and from external influences, and enhance the success of endeavours involving reasonably smooth, predictable changes of measurable quantities. This text enables the reader to not only find solutions of many PDEs, but also to interpret and use these solutions. It offers 6000

Partial Differential Equations

Partial Differential Equations
  • Author : Jeffrey Rauch
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKPartial Differential Equations

This book is based on a course I have given five times at the University of Michigan, beginning in 1973. The aim is to present an introduction to a sampling of ideas, phenomena, and methods from the subject of partial differential equations that can be presented in one semester and requires no previous knowledge of differential equations. The problems, with hints and discussion, form an important and integral part of the course. In our department, students with a variety of specialties-notably

Partial Differential Equations

Partial Differential Equations
  • Author : Jürgen Jost
  • Publisher : Springer Science & Business Media
  • Release : 13 November 2012
GET THIS BOOKPartial Differential Equations

This book offers an ideal graduate-level introduction to the theory of partial differential equations. The first part of the book describes the basic mathematical problems and structures associated with elliptic, parabolic, and hyperbolic partial differential equations, and explores the connections between these fundamental types. Aspects of Brownian motion or pattern formation processes are also presented. The second part focuses on existence schemes and develops estimates for solutions of elliptic equations, such as Sobolev space theory, weak and strong solutions, Schauder