Differential Equations

with Boundary Value Problems

Dennis G. Zill, Michael R. Cullen - Collection Brooks/Cole

760 pages, parution le 11/02/2004 (6^eme édition)

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Résumé

Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. This book was written with the student's understanding firmly in mind. Using a straightforward, readable, and helpful style, this book provides a thorough treatment of boundary-value problems and partial differential equations.

Benefits

The text strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations.
Each chapter contains a generous supply of examples, exercises, and applications.
By presenting applications of first- and higher-order differential equations in separate chapters, the text provides flexibility as well as the opportunity for students to get their "feet on the ground" by focusing on fewer concepts at the beginning of the course.
"Projects" explore mathematical models relating to the conservation of natural resources, the destruction of the Tacoma Narrows Bridge, the modes of vibration of a multistory building during an earthquake, and other interesting topics. Each "Project" is more than an essay because each contains a set of questions that can be used as a computer lab assignment if desired.
Discussion, conceptual, and group exercises are included in most sections.

L'auteur - Dennis G. Zill

Loyola Marymount University
Ph.D. in applied mathematics from Iowa State University. Currently professor of mathematics and former chair of the math dept at Loyola Marymount University in Los Angeles. Dennis Zill's research interests include Applied Mathematics, Special Functions, and Integral Transforms.

L'auteur - Michael R. Cullen

Michael R. Cullen, of Loyola Marymount University

Sommaire

Introduction to differential equations
First-order differential equations
Modeling with first-order differential equations
Higher-order differential equations
Modeling with higher-order differential equations
Series solutions of linear equations
Laplace transform
Systems of linear first-order differential equations
Numerical solutions of ordinary differential equations
Plane autonomous systems
Orthogonal functions and Fourier series
Boundary-value problems in rectangular coordinates
Boundary-value problems in other coordinate systems
Integral transform method
Numerical solutions of partial differential equations

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Thomson
Auteur(s)	Dennis G. Zill, Michael R. Cullen
Collection	Brooks/Cole
Parution	11/02/2004
Édition	6^eme édition
Nb. de pages	760
Format	21,5 x 27,5
Couverture	Broché
Poids	1305g
Intérieur	Noir et Blanc
EAN13	9780534420741
ISBN13	978-0-534-42074-1