Differential Equations with Boundary-Value Problems

by Dennis G. Zill, Michael R. Cullen

This Fourth Edition of the expanded version of Zill's best-selling A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS places an even greater emphasis on modeling and the use of technology in problem solving and now features more everyday applications. Both Zill texts are identical through the first nine chapters, but this version includes six additional chapters that provide in-depth coverage of boundary-value problem-solving and partial differential equations, subjects just introduced in the shorter text. Previous editions of these two texts have enjoyed such great success in part because the authors pique students' interest with special features and in-text aids. Pre-publication reviewers also praise the authors' accessible writing style and the text's organization, which makes it easy to teach from and easy for students to understand and use. Understandable, step-by-step solutions are provided for every example. And this edition makes an even greater effort to show students how the mathematical concepts have relevant, everyday applications. Among the boundary-value related topics covered in this expanded text plane autonomous systems and stability; orthogonal functions; Fourier series; the Laplace transform; and elliptic, parabolic, and hyperparabolic partial differential equations, and their applications.

Genres: Mathematics, Textbooks, Reference, Engineering, Calculus, Nonfiction

768 pages, Hardcover

First published January 1, 1986

Reviews

[Andrew Obrigewitsch · Rating 1 out of 5]

This book was seriously lacking.

It would not explain why one did anything, and just show a proof. Then it would only use the most trivial example to show how to do something, sometimes using the same equation over and over again for different methods of solving problems. Sometimes the examples would skip steps making them hard to follow. Then it would constantly refer back to things in earlier chapters rather than talk about them again. Given that this book costs $150, I think they could have afforded to use a few more pages to explain why they where even do what they where doing, and to not have been so lazy with their examples.

To compound this situation, the teacher I had lacked the ability to teach anything, so I had to learn everything on my own. So having a book that was at least useful would have been a help.

[Seth Dickerson · Rating 3 out of 5]

It was not entirely simple to follow. When you reach series which is needed for solutions around singular points and ordinary points its difficult to follow unless you fully know series which the review does not entirely explain the more complex problems. Yet, not too bad overall.

[Ryan Hunter · Rating 4 out of 5]

Good for ODE, lots of examples and proofs of problem solving techniques. Very hand-wavy when it came to the PDE's. I would recommend for use in an ODE course but would suggest supplemental reading if taking a PDE course.

[Kashif Ahmad · Rating 5 out of 5]

I want to read this

[Keenan Sullivan · Rating 4 out of 5]

I'm a big fan of knowledge but...oof

[Antonio Acbm]

good

[Mohammad Adnan · Rating 5 out of 5]

Nice book 👌

[Zarah Bedford · Rating 5 out of 5]

Love her. Best book ever.

[Fatima · Rating 5 out of 5]

good

[Angel Avitia · Rating 5 out of 5]

Una genial y muy amena introducción a las ecuaciones diferenciales, muy bueno para cualquier estudiante de Ingeniería

[Yaotl Altan · Rating 5 out of 5]

Las ecuaciones en el dominio del tiempo o en el dominio de la frecuencia, las transformadas de Laplace dejaron de ser un misterio tras la lectura de esta hermosa obra. Es indispensable para analizar situaciones en el mundo de la ingeniería como calcular el desarrollo de bacterias en determinado tiempo, analizar el comportamiento de una señal eléctrica o la velocidad a la que gira un rollo de papel.

[Nelson · Rating 5 out of 5]

I absolutely love this book. I'm in graduate-level PDEs right now and I still use this book as a reference. It contains examples for just about every type of problem. It offers sufficient explanation. It even tells you (gasp!) when you can use what method. It has everything by graduate school books are missing.

[Anum · Rating 5 out of 5]

Excellent book with ample questions and exercises to practice. This book really helped me understand differential equations and I think for any student of the subject this will be an excellent guide.

[Austin · Rating 4 out of 5]

An overall good text book, I don't have much to say about it. I feel it covered the topics well and could have been better through more examples perhaps, but all around good.

[Bb]

If it is Free Service For Students then it is highly appreciable....Well done....otherwise kindly make it free for students..!!

[Lindsay Catari · Rating 4 out of 5]

Great info.. but i think it needs to be more specific.! and a lot more examples.

[Faraz · Rating 5 out of 5]

i want to read

[Altaf Lakhan · Rating 5 out of 5]

goooooooooooooooooooood

[Ssk Shakim]

its fine

[Ali Hussain]

sdfcsdfcsd

[IMPERIVM · Rating 3 out of 5]

Good enough text for an introduction to ODE.

[José De la Paz · Rating 2 out of 5]

A good introduction to the basics an engineer should know

[Tue Le · Rating 4 out of 5]

A dependable textbook on ordinary differential equations. This was my textbook for that class. Its balance between rigor and student-friendliness was most welcome.

[Muhammad Makhdoom · Rating 5 out of 5]

nice

[Amir Khan]

nill

[M JAVED · Rating 5 out of 5]

READ IT

[Rana Rizwan]

best book

[Jan]

good

[Muhammad Mairaj · Rating 5 out of 5]

This book is very nice with basics. I would recommend it to my fellows.