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A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition) ePub download

by Dennis G. Zill

  • Author: Dennis G. Zill
  • ISBN: 0534373887
  • ISBN13: 978-0534373887
  • ePub: 1305 kb | FB2: 1605 kb
  • Language: English
  • Category: Mathematics
  • Publisher: Cengage Learning; 5 edition (December 8, 2000)
  • Pages: 520
  • Rating: 4.3/5
  • Votes: 926
  • Format: docx lit rtf lrf
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition) ePub download

Издание: 5. Издательство: Brooks Cole.

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The CLASSIC EDITION of Zill's respected book was designed for instructors who prefer not to emphasize technology, modeling, and applications, but instead want to focus on fundamental theory and techniques. Zill's CLASSIC EDITION, a reissue of the fifth edition, offers his excellent writing style, a flexible organization, an accessible level of presentation, and a wide variety of examples and exercises, all of which make it easy to teach from and easy for readers to understand and use.
ZEr0
This brings great memories from undegraduate times. It's a fantastic book, very clear and rather helpful. It has plenty of examples that really allows you to understand the concepts.
Welen
One of the hardest classes I took in college by far. This was the book that we used for it and it was informative somtimes having to google certain things to get the full grasp on the concept this was a good book to learn from however
Coiriel
Bought this for a college course I’m taking. Was really disappointed when I received my textbook and it had A LOT of writing in it and was in horrible shape with torn pages and binding falling apart.
TheFresh
Although I did very well in my Differential Equations course (A+), it was a very difficult class, and this book did not help very much. Much of the examples are done on the basis that we should know what's in between the lines from our previous Calculus classes or sections in the book. This is fine, but when there are only 2 examples in the section, some more explanation and clarification would have been appreciated. The one good aspect of the book was the variety of the problems assigned at the end of each section.

Update: I recently gave this a 4-star review, because upon reflecting, I realized this wasn't too bad of a book. It wasn't the best, but it was definitely worth the money and the class experience!
White gold
Just as described: brand new. Good book!
Kaim
Can't beat this price!
Kuve
The book is okay for intro to DiffEq, some of the steps aren't very intuitive, my own professor for the course stared at a few of the steps for a few minutes and deemed them as out of a place for an introductory course(if I didn't send the book back already for my rental I would point them out, but in one of the steps the author says something like "it should be clear why this happens and if it isn't just stare at it long enough until you get it..." or something amount those lines)

and then the author does a few completely ridiculous algebraic manipulations like taking a 2nd derivative of a product and putting it back into the form d^2/dx^2[2x*d/dx[e^(x)]+d/dx[2x]*e^(x)], and then went into factoring it to get what he needed, just some ridiculous manipulations when if he used different examples the point would still be made without unnecessary algebra

and as usual its completely overpriced for how mediocre it is
This particular textbook concerns ordinary differential equations. There are plenty of examples, and they are worked in steps that should make the solution strategy clear to any student with at least two previous semesters of calculus. One of the unusual features of the book are essays written by mathematicians present at the end of chapters 3, 4, 5, and 9. Each essay concerns applications of concepts learned in the previous chapter. The book is well illustrated, and motivations for study are included by making the examples solve practical problems such as the charge on a capacitor, solving orthogonal trajectories of the family of a rectangular hyperbola, or even determining the half-life of a radioactive substance. This makes it ideal for engineering students. There are numerous exercises at the end of each chapter and the solutions to odd numbered problems can be found in the back of the book. The following is the table of contents:

1. INTRODUCTION TO DIFFERENTIAL EQUATIONS
Basic Definitions and Terminology / Some Mathematical Models / Review / Exercises
2. FIRST-ORDER DIFFERENTIAL EQUATIONS
Preliminary Theory / Separable Variables / Homogeneous Equations / Exact Equations / Linear Equations / Equations of Bernoulli, Ricatti, and Clairaut / Substitutions / Picard's Method / Review / Exercises
3. APPLICATIONS OF FIRST-ORDER DIFFERENTIAL EQUATIONS
Orthogonal Trajectories / Applications of Linear Equations / Applications of Nonlinear Equations / Review / Exercises / Essay: Population Dynamics
4. LINEAR DIFFERENTIAL EQUATIONS OF HIGHER-ORDER
Preliminary Theory / Constructing a Second Solution from a Know Solution / Homogeneous Linear Equations with Constant Coefficients / Undetermined Coefficients: Superposition Approach / Differential Operators / Undetermined Coefficients: Annihilator Approach / Variation of Parameters / Review / Exercises / Essay: Chaos
5. APPLICATIONS OF SECOND-ORDER DIFFERENTIAL EQUATIONS: VIBRATIONAL MODELS
Simple Harmonic Motion / Damped Motion / Forced Motion / Electric Circuits and Other Analogous Systems / Review / Exercises / Essay: Tacoma Narrows Suspension Bridge Collapse
6. DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS
Cauchy-Euler Equation / Review of Power Series; Power Series Solutions / Solutions About Ordinary Points / Solutions About Singular Points / Two Special Equations / Review / Exercises
7. LAPLACE TRANSFORM
Laplace Transform / Inverse Transform / Translation Theorems and Derivatives of a Transform / Transforms of Derivatives, Integrals, and Periodic Functions / Applications / Dirac Delta Function / Review / Exercises
8. SYSTEMS OF LINEAR DIFFERENTIAL EQUATIONS
Operator Method / Laplace Transform Method / Systems of Linear First-Order Equations / Introduction to Matrices / Matrices and Systems of Linear First-Order Equations / Homogeneous Linear Systems / Undetermined Coefficients / Variation of Parameters / Matrix Exponential / Review / Exercises
9. NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS
Direction Fields / The Euler Methods / The Three-Term Taylor Method / The Runge-Kutta Methods / Multistep Methods / Errors and Stability / Higher-Order Equations and Systems / Second-Order Boundary-Value Problems / Review / Exercises / Essay: Nerve Impulse Models / APPENDIX I: GAMMA FUNCTION / APPENDIX II: LAPLACE TRANSFORMS / APPENDIX III: REVIEW OF DETERMINANTS / APPENDIX IV: COMPLEX NUMBERS / ANSWERS TO ODD-NUMBERED PROBLEMS
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