Differential Equations: An Introduction with Mathematica / Edition 2

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Overview

This introductory differential equations textbook presents a convenient way for professors to integrate symbolic computing into the study of differential equations and linear algebra. Mathematica provides the necessary computational power and is employed from the very beginning of the text. Each new idea is interactively developed using it.

After first learning about the fundamentals of differential equations and linear algebra, the student is immediately given an opportunity to examine each new concept using Mathematica. All ideas are explored utilizing Mathematica, and though the computer eases the computational burden, the student is encouraged to think about what the computations reveal, how they are consistent with the mathematics, what any conclusions mean, and how they may be applied.

This new edition updates the text to Mathematica 5.0 and offers a more extensive treatment of linear algebra. It has been thoroughly revised and corrected throughout.

Dr. Clay C. Ross taught mathematics at the university level from 1967 through his retirement in May of 2003. He continues to pursue his interests in mathematics, travel and nature photography, still plays in the University orchestra, and serves as organist at his church. Those activities and much reading keep him productively occupied.

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Editorial Reviews

From the Publisher
From the reviews of the second edition:

"The introductory differential equations textbook presents a convenient way for professors to integrate … . Each new idea is interactively developed … . After first learning about the fundamentals of differential equations and linear algebra, the student is immediately given an opportunity to examine … . the student is encouraged to think about what the computations reveal, how they are consistent with the mathematics … . The new revised edition updates … and offers a more extensive treatment of linear algebra." (Zentralblatt für Didaktik der Mathematik, January, 2005)

"This text instructs students in solving and using differential equations with both paper-and-pencil techniques and the Mathematica symbolic manipulation program. … This is a good, thorough standard textbook with good explanations." (Steven Dunbar, MathDL, January, 2005)

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Product Details

  • ISBN-13: 9781441919410
  • Publisher: Springer New York
  • Publication date: 11/25/2010
  • Series: Undergraduate Texts in Mathematics Series
  • Edition description: Softcover reprint of hardcover 2nd ed. 2004
  • Edition number: 2
  • Pages: 433
  • Product dimensions: 6.10 (w) x 9.00 (h) x 1.00 (d)

Table of Contents

About Differential Equations.- Linear Algebra.- First-Order Differential Equations.- Applications of First-Order Equations.- Higher-Order Linear Differential Equations.- Applications of Second-Order Equations.- The Laplace Transform.- Higher-Order Differential Equations with Variable Coefficients.- Differential Systems: Theory.- Differential Systems: Applications.- References.- Index.

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