An accessible introduction to the finite element method for solving numeric problems, this volume offers the keys to an important technique in computational mathematics. Suitable for advanced undergraduate and graduate courses, it outlines clear connections with applications and considers numerous examples from a variety of science- and engineering-related specialties.This text encompasses all varieties of the basic linear partial differential equations, including elliptic, parabolic and hyperbolic problems, as well as stationary and time-dependent problems. Additional topics include finite element methods for integral equations, an introduction to nonlinear problems, and considerations of unique developments of finite element techniques related to parabolic problems, including methods for automatic time step control. The relevant mathematics are expressed in non-technical terms whenever possible, in the interests of keeping the treatment accessible to a majority of students.

Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)

Science & Math

Johnson, Claes

Mathematics

Dover Publications

Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems, however a chapter extending the development of non-linear problems is also included, as is one on finite element methods for integral equations. Throughout the text the author has included applications to important problems in mathematics and physics, and has endeavored to keep the mathematics as simple as possible while still presenting significant results.

Numerical Solution of Partial Differential Equations by the Finite Element Method

Cambridge University Press

Professor Johnson presents an easily accessible introduction to one of the most important methods used to solve partial differential equations. The bulk of the text focuses on linear problems, however a chapter extending the development of non-linear problems is also included, as is one on finite element methods for integral equations. Throughout the text the author has included applications to important problems in mathematics and physics, and has endeavored to keep the mathematics as simple as possible while still presenting significant results.

Applied Mathematics: Body &amp; Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilities of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.

Applied Mathematics Body and Soul, Volume 2: Integrals and Geometry in Rn

Eriksson, Kenneth

Estep, Donald

Chemistry

Springer

Applied Mathematics: Body &amp; Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics who have written various successful books.

Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3

Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions

Der 3-bändige Grundkurs für Studienanfänger verbindet die mathematische Analysis (Soul) mit numerischer Berechnung (Body) und einer Fülle von Anwendungen. Die Autoren haben die Inhalte im Unterricht erprobt. Band 1 behandelt die Grundlagen der Analysis.

Angewandte Mathematik: Body and Soul: Band 1: Ableitungen und Geometrie in IR3 (Springer-Lehrbuch) (German Edition)

Reference

Foreign Language Study & Reference

Springer Spektrum

A first-class debate book on the crucial issues of current mathematics teaching The authors offer startling evidence that computers are changing mathematics in a profound way Raises the question of how to alter teaching in mathermatics as a result of the computer's influence on the field

Dreams of Calculus: Perspectives on Mathematics Education

Computers & Technology

Logg, Anders

Hoffman, Johan

Computer Science

"Angewandte Mathematik: Body & Soul" ist ein neuer Grundkurs in der Mathematikausbildung für Studienanfänger in den Naturwissenschaften, der Technik, und der Mathematik, der an der Chalmers Tekniska Högskola in Göteborg entwickelt wurde. Er besteht aus drei Bänden sowie Computer-Software. Das Projekt ist begründet in der Computerrevolution, die ihrerseits völlig neue Möglichkeiten des wissenschaftlichen Rechnens in der Mathematik, den Naturwissenschaften und im Ingenieurwesen eröffnet hat. Es besteht aus einer Synthese der mathematischen Analysis (Soul) mit der numerischen Berechnung (Body) sowie den Anwendungen. Die Bände I-III geben eine moderne Version der Analysis und der linearen Algebra wieder, einschließlich konstruktiver numerischer Techniken und Anwendungen, zugeschnitten auf Anfängerprogramme im Maschinenbau und den Naturwissenschaften. Weitere Bände behandeln Themen wie z.B. dynamische Systeme, Strömungsdynamik, Festkörpermechanik und Elektromagnetismus. Dieser Band entwickelt das Riemann-Integral, um eine Funktion zu einer gegebenen Ableitung zu bestimmen. Darauf aufbauend werden Differentialgleichungen und Anfangswertprobleme mit einer Vielzahl anschaulicher Anwendungen behandelt. Die lineare Algebra wird auf n-dimensionale Räume verallgemeinert, wobei wiederum dem praktischen Umgang und numerischen Lösungstechniken besonderer Platz eingeräumt wird. Die Autoren sind führende Experten im Gebiet des wissenschaftlichen Rechnens und haben schon mehrere erfolgreiche Bücher geschrieben. "[......] Oh, by the way, I suggest immediate purchase of all three volumes!" The Mathematical Association of America  Online, 7.7.04

Angewandte Mathematik: Body and Soul: Band 2: Integrale und Geometrie in IRn (Springer-Lehrbuch) (German Edition)

Applied Mathematics: Body & Soul is a mathematics education reform project developed at Chalmers University of Technology and includes a series of volumes and software. The program is motivated by the computer revolution opening new possibilitites of computational mathematical modeling in mathematics, science and engineering. It consists of a synthesis of Mathematical Analysis (Soul), Numerical Computation (Body) and Application. Volumes I-III present a modern version of Calculus and Linear Algebra, including constructive/numerical techniques and applications intended for undergraduate programs in engineering and science. Further volumes present topics such as Dynamical Systems, Fluid Dynamics, Solid Mechanics and Electro-Magnetics on an advanced undergraduate/graduate level. The authors are leading researchers in Computational Mathematics and have written various successful books.

Applied Mathematics: Body and Soul

Estep, Don

See the best price to sell, buy, or rent books by Johnson, Claes. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Johnson, Claes

See the best price to sell, buy, or rent books by Johnson, Claes. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Numerical Solution of Partial Differential Equations by the Finite Element Method (Dover Books on Mathematics)

Numerical Solution of Partial Differential Equations by the Finite Element Method

Numerical Solution of Partial Differential Equations by the Finite Element Method

Applied Mathematics Body and Soul, Volume 2: Integrals and Geometry in Rn

Applied Mathematics Body and Soul, Volume 1: Derivatives and Geometry in R3

Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions

Angewandte Mathematik: Body and Soul: Band 1: Ableitungen und Geometrie in IR3 (Springer-Lehrbuch) (German Edition)

Dreams of Calculus: Perspectives on Mathematics Education

Angewandte Mathematik: Body and Soul: Band 2: Integrale und Geometrie in IRn (Springer-Lehrbuch) (German Edition)

Applied Mathematics: Body and Soul