Differential Equations

Clay C. Ross

ISBN 10: 0387212841 / ISBN 13: 9780387212845

Editore: Springer New York, Springer New York Aug 2004, 2004

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Neuware -Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum. There is no attempt here to use computing to avoid doing differential equations and linear algebra. The goal is to make some first ex plorations in the subject accessible to students who have had one year of calculus. Some of the sciences are now using the symbol-manipulative power of Mathemat ica to make more of their subject accessible. This book is one way of doing so for differential equations and linear algebra. I believe that if a student's first exposure to a subject is pleasant and exciting, then that student will seek out ways to continue the study of the subject. The theory of differential equations and of linear algebra permeates the discussion. Every topic is supported by a statement of the theory. But the primary thrust here is obtaining solutions and information about solutions, rather than proving theorems. There are other courses where proving theorems is central. The goals of this text are to establish a solid understanding of the notion of solution, and an appreciation for the confidence that the theory gives during a search for solutions. Later the student can have the same confidence while personally developing the theory.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch.

Codice articolo 9780387212845

Dati bibliografici

• Titolo: Differential Equations
• Editore: Springer New York, Springer New York Aug 2004
• Data di pubblicazione: 2004
• Lingua: Inglese
• ISBN 10: 0387212841
• ISBN 13: 9780387212845
• Rilegatura: Buch
• Edizione: seconda edizione
• Condizione: Neu
• Dimensioni: 241 L x 160 A x 29 P (millimetri) 241 millimetri di larghezza per 160 millimetri di altezza per 29 millimetri di profondità
• Peso: 840 grammi

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Riassunto

Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum. I believe that if a student's first exposure to a subject is pleasant and exciting, then that student will seek out ways to continue the study of the subject.

Dalla quarta di copertina

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.