Free Ebook Differential Equations with Applications and Historical Notes (International series in pure and applied mathematics), by George F. Simmons
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Differential Equations with Applications and Historical Notes (International series in pure and applied mathematics), by George F. Simmons
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This traditional text is intended for mainstream one- or two-semester differential equations courses taken by undergraduates majoring in engineering, mathematics, and the sciences. Written by two of the world's leading authorities on differential equations, Simmons/Krantz provides a cogent and accessible introduction to ordinary differential equations written in classical style. Its rich variety of modern applications in engineering, physics, and the applied sciences illuminate the concepts and techniques that students will use through practice to solve real-life problems in their careers. This text is part of the "Walter Rudin Student Series" in Advanced Mathematics.
- Sales Rank: #952486 in Books
- Published on: 1972-02
- Original language: English
- Number of items: 1
- Binding: Hardcover
- 448 pages
Most helpful customer reviews
0 of 0 people found the following review helpful.
very helpful- simply amazing. I would recommend this to anyone in higher ...
By Amazon Customer
After struggling with my text book in class, this is the one I needed. Very clear, very helpful- simply amazing. I would recommend this to anyone in higher math.
5 of 5 people found the following review helpful.
Fabulous (but demanding!) classic with entertaining asides
By Angus MacGrit
This book is a famous classic. The commentaries on historically important problems and the mathematicians who solved them are fascinating and entertaining and fun reading even for non-mathematicians. For example, someone studying the history of science would gain much from reading through them and could use the book as a shelf reference. The mathematical presentation is demanding, but if you get through it you'll definitely have achieved something. WARNING: A professor tells me that the problems in this book include many that would stump most professors! This book is not suitable as a universal textbook. But there are also many problems that ordinary students will be able to do.
65 of 69 people found the following review helpful.
An absolute gem of textbook!
By Disappointed Roman History Fan
I've taught upper division students from this book (and the first edition) 5-6 times for over a decade. I remain impressed by the broad range of topics from which the teacher and reader can select. As with his excellent calculus textbook, the author tries to show students how mathematics is a human activity, a subject that developed in response to actual needs and which is still lively and developing. No part of mathematics illustrates this development better than the topic of differential equations, which was invented to solve pressing problems in astronomy. One example: In Newton's time, accurate location of position on the open seas was an unsolved problem, crucial to commerce. New techniques from differential equations led to the ready calculation of tables which, together with the invention of Harrison's sea-going chronometer, effectively solved the navigation problem. Differential equations lie at the core of the physical sciences and engineering and are proving increasingly valuable in biology and medicine. Simmons' book will not appeal to readers who want merely recipes with examples of their use. Such readers might prefer the excellent books from the Schaum's Outline Series. Those readers who want to see vital mathematics well presented, those readers who think that mathematics stops at trigonomerty or the calculus, those readers who want to use differential equations intelligently, and those readers who just like a cracking good mathematics story should get a copy of Simmons' book and read.
Nathaniel Grossman Professor of Mathematics, UCLA
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