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Differential Equations: An Introduction With Mathematica (Textbooks in Mathematical Sciences, No 1) [Hardcover]

Clay C. Ross (Author)


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Hardcover, January 1995 --  
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Book Description

January 1995 0387943013 978-0387943015 First Edition
The text covers standard topics for an introductory differential equations course. The Mathematica software component enhances the students' problem-solving abilities and helps them develop a working understanding of the subject. Difficult concepts are explored on the computer, and the computer eases the burden of complicated computation.


Editorial Reviews

Review

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)

--This text refers to an alternate Hardcover edition.

From the Back Cover

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.

--This text refers to an alternate Hardcover edition.

Product Details

  • Hardcover: 503 pages
  • Publisher: Springer-Verlag; First Edition edition (January 1995)
  • Language: English
  • ISBN-10: 0387943013
  • ISBN-13: 978-0387943015
  • Product Dimensions: 9.3 x 7.1 x 1.2 inches
  • Shipping Weight: 2 pounds
  • Amazon Best Sellers Rank: #1,932,060 in Books (See Top 100 in Books)

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Inside This Book (learn more)
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First Sentence:
The subject of differential equations is large, diverse, powerful, useful, and full of surprises. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
generalized characteristic vectors, independent characteristic vectors, characteristic value problems, indicial equation, nonhomogeneous part, upper container, improper node, second linearly independent solution, damped harmonic motion, regular singular point, fundamental matrix solution, constant coefficients systems, exponential order, basis for the kernel, separable equation, orthogonal family, undetermined coefficients, spiral point, variables separable, differential inclusion, log series, decay series, recursion relation, characteristic roots
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Two Nonlinear Examples, Use Transform, Homogeneous Fcns, Numerical Methods, Prove Theorem, Quick Series Solution
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