Differential Equations

An Introduction with Mathematica®
2. Auflage Softcover version of original hardcover Auflage 2004
ISBN: 978-1-4419-1941-0
Verlag: Springer

Buch, Englisch, 434 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1380 g

Reihe: Undergraduate Texts in Mathematics

This introductory differential equations book 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. 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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Ross, Clay C.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

1 About Differential Equations.- 2 Linear Algebra.- 3 First-Order Differential Equations.- 4 Applications of First-Order Equations.- 5 Higher-Order Linear Differential Equations.- 6 Applications of Second-Order Equations.- 7 The Laplace Transform.- 8 Higher-Order Differential Equations with Variable Coefficients.- 9 Differential Systems: Theory.- 10 Differential Systems: Applications.- References.