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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Customer Reviews
Most Helpful Customer Reviews
22 of 24 people found the following review helpful
Format: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
Format:Hardcover
This book covers its material thoroughly and clearly with
the 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.
the 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
Format: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.
Most Recent Customer Reviews
i cant stop reading this
i am enrolled in a financial engineering masters program and we constantly come across a differential equations problem. Read more
Published 6 months ago by rajan S.
Awful formatting, awful text
This is one of the worst textbooks I've ever used. The formatting in the textbook is completely counter-productive and terrible to use. Read more
Published 17 months ago by Vividn
Not for simple equations
So complicated when you know that you can guess what is the percentage by a simple division, this equation is taking you the extra mile to get the result. Read more
Published on January 13, 2010 by M. Al-dhaen
Best undergraduate ODE book
Goes every the mathematical details for the development of solution methods. Includes numerical methods as well. Many applications provided. Read more
Published on November 8, 2009 by A. I. Haque
Excellent book for applications
I like this book for its excellent examples of applications.Later chapters give intro to linear algebra and Laplace transforms and delta function in an easy manner. Read more
Published on December 18, 2008 by Srinivasan Nenmeli Krishna
Great applications
This book discusses several excellent applications. I shall summarise a few of the simplest and most beautiful ones. Warfare models. Read more
Published on March 11, 2007 by Viktor Blasjo
Differential Equations and Their Applications
From a pedagogy point of view this is a bad book becuase of the way its chapters are organized and presented. Read more
Published on February 8, 2007 by Mauro Enriquez
Outstanding clarity; this is an excellent text
This book is extraordinarily clear as well as being concise (but never too much so) in the mathematical parts. Read more
Published on July 28, 2006 by Alexander C. Zorach
A good comprehensive ODE book
I quite liked this book. It taught the material in a different order than I am used to, which gave me a more complete understanding. Read more
Published on May 20, 2006 by Joan Zoellner
Nice try, but...
This is the typical mathematics book intended for non-mathematicians. The author made a great effort to compile the most diverse examples of problems (better said MODELS of... Read more
Published on April 4, 2000 by Bernardo Vargas
Inside This Book
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First Sentence:
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!
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:
See all 46 books this book cites
8
books
cite this book:
See all 8 books citing this book
- 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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