Ebook A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill
A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill. In what situation do you like checking out so much? Just what about the sort of guide A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill The have to review? Well, everyone has their own reason needs to check out some publications A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill Mainly, it will certainly associate with their necessity to obtain knowledge from the e-book A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill as well as wish to check out just to obtain entertainment. Novels, tale e-book, and other amusing publications end up being so preferred now. Besides, the scientific publications will certainly likewise be the most effective need to decide on, especially for the students, teachers, physicians, businessman, as well as other occupations who love reading.
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill
Ebook A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill
When you are rushed of task target date as well as have no suggestion to get inspiration, A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill publication is among your options to take. Schedule A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill will certainly give you the best resource and also thing to get inspirations. It is not only about the jobs for politic company, management, economics, and also other. Some ordered jobs making some fiction jobs likewise require motivations to get rid of the task. As exactly what you require, this A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill will possibly be your choice.
Exactly how can? Do you believe that you don't require enough time to go with shopping e-book A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill Never mind! Just rest on your seat. Open your kitchen appliance or computer as well as be on the internet. You could open up or check out the link download that we gave to obtain this A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill By this means, you can obtain the on-line publication A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill Reviewing guide A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill by online can be truly done effortlessly by waiting in your computer and gizmo. So, you can continue every single time you have free time.
Reviewing the book A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill by online can be likewise done effortlessly every where you are. It appears that waiting the bus on the shelter, hesitating the list for line up, or various other places possible. This A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill could accompany you during that time. It will certainly not make you feel bored. Besides, through this will additionally improve your life top quality.
So, simply be right here, locate the publication A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill now as well as read that promptly. Be the very first to read this publication A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill by downloading in the web link. We have a few other e-books to check out in this site. So, you can locate them likewise conveniently. Well, now we have actually done to supply you the finest publication to read today, this A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill is really ideal for you. Never ever ignore that you need this e-book A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill to make better life. On-line book A First Course In Differential Equations: The Classic Fifth Edition (Classic Edition), By Dennis G. Zill will truly give easy of everything to review and also take the perks.
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.
- Sales Rank: #16032 in Books
- Brand: Brand: Cengage Learning
- Published on: 2000-12-08
- Original language: English
- Number of items: 1
- Dimensions: 10.37" h x 1.10" w x 8.32" l, 2.65 pounds
- Binding: Hardcover
- 520 pages
- Used Book in Good Condition
Review
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
About the Author
Dennis G. Zill is professor of mathematics at Loyola Marymount University. His interests are in applied mathematics, special functions, and integral transforms. Dr. Zill received his Ph.D. in applied mathematics and his M.S. from Iowa State University in 1967 and 1964, respectively. He received his B.A. from St. Mary's in Winona, Minnesota, in 1962. Dr. Zill also is former chair of the Mathematics Department at Loyola Marymount University. He is the author or co-author of 13 mathematics texts.
Most helpful customer reviews
24 of 25 people found the following review helpful.
A good text on ordinary differential equations with good examples
By calvinnme
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
10 of 12 people found the following review helpful.
Best Book Out There For ODEs
By SamM
This is the best book I've come across for ordinary differential equations, and I've gone through many of them as a mathematics major! Not only did this book teach me the entire subject matter, I continue to go back to it years later whenever I need to review a technique. The explanations are lucid and clear, and the examples provided are very helpful. Most importantly, when presenting a technique, the authors break it down into all possible cases, so that you are ready to handle any type of problem assigned for hw or tests. I highly recommend this book!
7 of 8 people found the following review helpful.
keep this book as a reference if you plan on any math, science, or engineering courses
By C
This book came in handy once I started upper-level undergraduate courses in mathematics (if you choose analysis or applied analysis as your focus). I went back to Zill more than any other textbook that I own, to the point where I have certain pages memorized. It's a really great resource.
Highly recommended.
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill PDF
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill EPub
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill Doc
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill iBooks
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill rtf
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill Mobipocket
A First Course in Differential Equations: The Classic Fifth Edition (Classic Edition), by Dennis G. Zill Kindle
Tidak ada komentar:
Posting Komentar