Differential Equations and Their Applications

by Martin Braun

Used in undergraduate classrooms across the USA, this is a clearly written, rigorous introduction to differential equations and their applications. Fully understandable to students who have had one year of calculus, this book distinguishes itself from other differential equations texts through its engaging application of the subject matter to interesting scenarios. This fourth edition incorporates earlier introductory material on bifurcation theory and adds a new chapter on Sturm-Liouville boundary value problems. Computer programs in C, Pascal, and Fortran are presented throughout the text to show readers how to apply differential equations towards quantitative problems.

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

594 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.

[HikBook]

Modelo de diabetes (ackerman?)

[رورو الحسيناوي]

Differential Equations and Their Applications: An Introduction to Applied Mathematics