Differential Equations and Their Applications, Short Version

Braun, Martin

ISBN 10: 0387902899 / ISBN 13: 9780387902890

Editore: Springer-Verlag, New York, NY, 1978

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319 pp. Tightly bound. Corners not bumped. Text is free of markings. (1) Lightly bumped at head of spine. (2) Light fading to cloth on spine.

Codice articolo 058994

Dati bibliografici

• Titolo: Differential Equations and Their Applications, Short Version
• Editore: Springer-Verlag, New York, NY
• Data di pubblicazione: 1978
• Lingua: Inglese
• ISBN 10: 0387902899
• ISBN 13: 9780387902890
• Rilegatura: Cloth
• Edizione: terza edizione
• Condizione: Very Good
• Condizione della sovraccoperta: No Dust Jacket
• Cataloghi dei venditori:
  • LC1

Descrizione articolo

Riassunto

This textbook is a unique blend of the theory of differential equations and their exciting application to ··real world" problems. First, and foremost, it is a rigorous study of ordinary differential equations and can be fully understood by anyone who has completed one year of calculus. However, in addition to the traditional applications, it also contains many exciting '·real life" problems. These applications are completely self contained. First, the problem to be solved is outlined clearly, and one or more differential equations are derived as a model for this problem. These equations are then solved, and the results are compared with real world data. The following applications are covered in this text. I. In Section 1.3 we prove that the beautiful painting ··Disciples at Emmaus" which was bought by the Rembrandt Society of Belgium for $170,000 was a modern forgery. 2. In Section 1.5 we derive differential equations which govern the population growth of various species, and compare the results predicted by our models with the known values of the populations. 3. In Section 1.6 we try to determine whether tightly sealed drums filled with concentrated waste material will crack upon impact with the ocean floor. In this section we also describe several tricks for obtaining informa­ tion about solutions of a differential equation that cannot be solved explicitly.

Product Description

Book by Braun Martin