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.
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21 of 23 people found the following review helpful:
5.0 out of 5 stars
Engaging and stimulating text,
By Steve Keen "Debunking Economics" (Sydney, Australia) - See all my reviews
This review is from: Differential Equations and Their Applications : An Introduction to Applied Mathematics (Texts in Applied Mathematics, Vol. 11) (Hardcover)
As an academic I rarely if ever use textbooks because I find their writing style bland and disengaging--especially in my own area (economics). Braun's text is the exception to the rule: this is a textbook that is so well written it could qualify as entertainment. At the same time the major issues in the field are covered well, complete with an overview of the linear algebra required for doing ODEs and a good introduction to nonlinearity and chaos. It may not, as one reviewer notes, provide a complete and rigorous coverage of this highly technical field, but it does what a text should do but so few achieve: it excites its readers and inspires them to delve further into this fascinating discipline.
16 of 17 people found the following review helpful:
5.0 out of 5 stars
One of the best in the field,
By A Customer
This review is from: Differential Equations and Their Applications : An Introduction to Applied Mathematics (Texts in Applied Mathematics, Vol. 11) (Hardcover)
This book covers its material thoroughly and clearly withthe most interesting set of applications I've seen in a high-level text. It also contains all the linear algebra needed to understand the material. This book was based on a course the author taught. Indeed, Braun's claim that students taking linear algebra would refer to his course for a refresher is well-deserved. Exercises are generally difficult but the examples are easy to follow. Buy this if you want to truly understand the subject matter.
17 of 19 people found the following review helpful:
5.0 out of 5 stars
Learning D.E.'s Can Actually be Fun,
By A Customer
This review is from: Differential Equations and Their Applications : An Introduction to Applied Mathematics (Texts in Applied Mathematics, Vol. 11) (Hardcover)
I have used this to teach DE's in a one to one tutoring context for a couple of years now, since I first picked it off a library shelf and felt literally like jumping for joy over how good it was. Not that I dislike Boyce / DiPrima, but suddenly I had a text that was really fun! Now, this is definitely a "what DE's are good for" kind of text, so if you feel that your students should suffer teething pains on a dry theoretical tome, this is NOT the book for you. Nevertheless, having had students chew up all their available time on this book, because they loved it, makes me recommend it highly.
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Inside This Book
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This book is a study of differential equations and their applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
blood glucose regulatory system, operational loss rate, twelve innovations, combat loss rate, judicious guessing, indicial equation, logistic law, nonhomogeneous equation, threshold theorem, adjacent integers, regular singular point, simple series circuit, orthogonal trajectories, much simpler problem, equal roots, phase portrait, odd coefficients, disintegration rate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Iwo Jima, Van Meegeren, United States, World War, New York, Schwarz's Inequality, Tacoma Bridge, Taking Laplace, North Vietnamese, South Vietnamese, Fortran Program Replace Section, Rhode Island, Atomic Energy Commission, Compute the Picard, Fat Richie, Laurent Schwartz, Pascal Program Program Euler, Washing of Feet, Woman Playing Mandolin, Woman Reading Music New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
This book is a study of differential equations and their applications. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
blood glucose regulatory system, operational loss rate, twelve innovations, combat loss rate, judicious guessing, indicial equation, logistic law, nonhomogeneous equation, threshold theorem, adjacent integers, regular singular point, simple series circuit, orthogonal trajectories, much simpler problem, equal roots, phase portrait, odd coefficients, disintegration rate Key Phrases - Capitalized Phrases (CAPs): (learn more)
Iwo Jima, Van Meegeren, United States, World War, New York, Schwarz's Inequality, Tacoma Bridge, Taking Laplace, North Vietnamese, South Vietnamese, Fortran Program Replace Section, Rhode Island, Atomic Energy Commission, Compute the Picard, Fat Richie, Laurent Schwartz, Pascal Program Program Euler, Washing of Feet, Woman Playing Mandolin, Woman Reading Music New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 46
books:
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8
books
cite this book:
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- Iwo Jima by Richard F. Newcomb on page 409, and page 413
- The Struggle for Existence (Dover Phoenix Editions) (Dover Books on Biology) by G. F. Gause on page 37, and page 456
- Differential Equations and Dynamical Systems by J.K. Hale in Front Matter
- Partial Differential Equations with Numerical Methods (Texts in Applied Mathematics) by Stig Larsson in Back Matter
- Growth and Diffusion Phenomena: Mathematical Frameworks and Applications (Texts in Applied Mathematics) by Robert B. Banks in Front Matter
See all 46 books this book cites
- Mathematica Navigator: Graphics and Methods of Applied Mathematics by Heikki Ruskeepaa in Back Matter
- Introduction to Neural and Cognitive Modeling (2nd Edition) by Daniel S. Levine in Back Matter
- Dynamical Systems: Differential Equations, Maps, and Chaotic Behaviour (Chapman Hall/CRC Mathematics Series) by D. Arrowsmith in Back Matter
- Ordinary Differential Equations: A Brief Eclectic Tour (Classroom Resource Materials) by David A. Sánchez in Back Matter
- Nonlinear Dynamics, Mathematical Biology, And Social Science: Wise Use Of Alternative Therapies (Santa Fe Institute Series) by Joshua M. Epstein in Back Matter
See all 8 books citing this book
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