Ebook An Introduction to Ordinary Differential Equations (Cambridge Texts in Applied Mathematics), by James C. Robinson
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An Introduction to Ordinary Differential Equations (Cambridge Texts in Applied Mathematics), by James C. Robinson
Ebook An Introduction to Ordinary Differential Equations (Cambridge Texts in Applied Mathematics), by James C. Robinson
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This refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers.
- Sales Rank: #1901551 in eBooks
- Published on: 2004-01-08
- Released on: 2004-01-08
- Format: Kindle eBook
Review
'The presentation is sensitive to the needs of students, with careful algebraic steps included in most cases. Appendices on basic required mathematical techniques are also included.' Mathematical Reviews
'The book is recommended as a textbook for one-term or one-semester course.' Zentralblatt MATH
'... will be useful to anybody wanting to teach or learn elements of ordinary differential equations in the beginnings of their mathematical studies.' European Mathematical Society Newsletter
'... it is written in a friendly and informal style and covers a wide and interesting collection of topics.' Contemporary Physics
'This is an excellent book which probably would have been most welcome to older students of differential equations had it existed and which will be of great value to those currently studying the subject.' The Mathematical Gazette
About the Author
James Robinson is the David Florence Professor of Government at Harvard University. He is the co-author, with Daron Acemoglu, of the book Economic Origins of Dictatorship and Democracy, published by Cambridge University Press in 2006, which was awarded the 2007 Woodrow Wilson Foundation Award by the American Political Science Association for 'the best book published in the United States during the prior year on government, politics, or international affairs'. He edited the book Natural Experiments in History with the geographer and ecologist Jared Diamond in 2010. His most recent book, also written with Daron Acemoglu, is entitled Why Nations Fail and was declared one of the ten best books of 2012 by the Washington Post and is already being translated into 23 languages, including Arabic and Mongolian. His main research interests are in political economy, comparative economic development, and economic history with a focus on sub-Saharan Africa and Latin America.
Most helpful customer reviews
0 of 5 people found the following review helpful.
Very good text
By Physics Lover
This was a great product and it was here very early. It's to the point and easy to read, I would advise everyone taking a differential equations course to check this book out.
20 of 20 people found the following review helpful.
reminiscent of a recipe book
By A. Potter
This book is a good primer on methods for solving differential equations, and if all you want to get out of a differential equations course is recipes for solving them, than it's fine.
My complaints are:
1.) Robinson skimps a lot on theory, this would be fine for an applications book, but he tends to go light on the applictations too...
2.) The excercises are simple, unchallenging, sometimes tedious, and often extremely repetitious. Also, there are only about 5 problems per section.
3.) The book does not use enough concepts from analysis, complex analysis, or linear algebra. There's a section devoted to matrix methods of solving linear ODE's, but if you've already had some analysis/lin alg. this book will probably be unsatisfying.
Conclusions: If your a applied math/math/physics major, this book's probably a little short on rigor. If your an engineering major and/or are not very interested in a rigorous development of the subject, this book's probably not too bad (but there's definitely better out there).
7 of 7 people found the following review helpful.
Excellent "introduction" and refresher
By E. Angie Neer
As the title indicates, this in an "introduction" to ordinary differential equations. It's helping me a lot to refresh my memory on what is the point of differential equations, how you set them up given real world examples, and then how to resolve them. There seem to be many books out there on resolving more complicated differential equations (with lots of theory and proof), but for getting started, and for building a big picture view, I really like this one.
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