Differential Equations and Their Applications: An Introduction to Applied Mathematics

by Martin Braun

This textbook is a unique blend of the theory of differential equations and their exciting application to real world problems. First it is a rigorous study of ordinary differential equations and can be fully understood by anyone who has completed one year of calculus.

Genres: Mathematics, Reference, Engineering, Science, Nonfiction, Textbooks

335 pages, Hardcover

First published May 11, 1977

Reviews

[James Millikan · Rating 5 out of 5]

Braun’s classic text is noteworthy for its combination of rigorous pure mathematical formalism and real-world applications. The mathematical underpinnings of the Tacoma Narrows Bridge collapse, international conflict, syphilis outbreaks, and the propagation of waves are carefully derived and proved. The preponderance formal definitions, lemmas, and theorems do not prevent the interested non-specialist from understanding the models, however, because their qualitative descriptions are clearly presented in plain English prose.

This probably isn’t the best book to self study the math of differential equations—especially if you haven’t completed upper-division real analysis coursework. But Differential Equations and Their Applications is a sterling example of why you would want to complete such a course of study: Braun’s magnum opus leaves little doubt that the Book of Nature is indeed written in the language of diff EQs.

[smoh cat · Rating 2 out of 5]

Theorem and example are labelled in such a way that we can never find a specific theorem/example without referring to the page number.

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Modelo de diabetes (ackerman?)

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Differential Equations and Their Applications: An Introduction to Applied Mathematics