Differential Equations and Their Applications

by Martin Braun

There are two major changes in the Fourth Edition of Differential Equations and Their Applications. The first concerns the computer programs in this text. In keeping with recent trends in computer science, we have replaced all the APL programs with Pascal and C programs. The Pascal programs appear in the text in place of the APL programs, where they are followed by the Fortran programs, while the C programs appear in Appendix C.

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the Texts in Applied Mathematics (TAM). 
The development of new courses is a natural consequence of a high Ievel of excitement on the research frontieras newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research Ievel monographs. 

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