Differential Equations: from Calculus to Dynamical Systems

Author:   Virginia W. Noonburg
Publisher:   American Mathematical Society
Edition:   Second Edition
ISBN:  

9781470463298


Pages:   402
Publication Date:   30 March 2019
Format:   Paperback
Availability:   In Print   Availability explained
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Differential Equations: from Calculus to Dynamical Systems


Overview

A thoroughly modern textbook for the sophomore-level differential equations course. The examples and exercises emphasize modeling not only in engineering and physics but also in applied mathematics and biology. There is an early introduction to numerical methods and, throughout, a strong emphasis on the qualitative viewpoint of dynamical systems. Bifurcations and analysis of parameter variation is a persistent theme. Presuming previous exposure to only two semesters of calculus, necessary linear algebra is developed as needed. The exposition is very clear and inviting. The book would serve well for use in a flipped-classroom pedagogical approach or for self-study for an advanced undergraduate or beginning graduate student. This second edition of Noonburg's best-selling textbook includes two new chapters on partial differential equations, making the book usable for a two-semester sequence in differential equations. It includes exercises, examples, and extensive student projects taken from the current mathematical and scientific literature.

Full Product Details

Author:   Virginia W. Noonburg
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   Second Edition
ISBN:  

9781470463298


ISBN 10:   1470463296
Pages:   402
Publication Date:   30 March 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction to differential equations First-order differential equations Second-order differential equations Linear systems of first-order differential equations Geometry of autonomous systems Laplace transforms Introduction to partial differential equations Solving second-order partial differential equations Appendixes: A. Answers to odd-numbered exercises B. Derivative and integral formulas C. Cofactor method for determinants D. Cramer's Rule for solving systems of linear equations E. The Wronskian F. Table of Laplace transforms G. Review of partial derivatives Index

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Author Information

Virginia W. Noonburg, University of Hartford, West Hartford, CT.

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Latest Reading Guide

NOV RG 20252

 

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