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Available Titles Cengagenow Ser.: First Course in Differential Equations with Modeling Applications by Dennis G. Zill (2004, Hardcover)
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About this product
Product Identifiers
PublisherBrooks/Cole
ISBN-100534418783
ISBN-139780534418786
eBay Product ID (ePID)31010848
Product Key Features
Number of Pages472 Pages
Publication NameFirst Course in Differential Equations with Modeling Applications
LanguageEnglish
SubjectDifferential Equations / General, General, Calculus
Publication Year2004
TypeTextbook
Subject AreaMathematics
AuthorDennis G. Zill
SeriesAvailable Titles Cengagenow Ser.
FormatHardcover
Dimensions
Item Height0.9 in
Item Weight43.3 Oz
Item Length10.8 in
Item Width8.7 in
Additional Product Features
Edition Number8
Intended AudienceCollege Audience
LCCN2004-104625
Reviews"I believe Zill writes very well. He seems to explain ideas and concepts with great clarity. He introduces new topics slowly and methodically so the student will grasp the idea as he/she reads along." "Zill has a strong textbook: 1. He covers the important material in a depth suitable for a first course. 2. He writes well, is easy to read and understand. 3. He has a good mix of theory and application. As an engineering faculty teaching differential equations, I really appreciate the examples that show ho, The writing style and level of exposition are exactly what they should be for our course. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course…. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course'. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course…. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course.... The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., "I believe Zill writes very well. He seems to explain ideas and concepts with great clarity. He introduces new topics slowly and methodically so the student will grasp the idea as he/she reads along." "Zill has a strong textbook: 1. He covers the important material in a depth suitable for a first course. 2. He writes well, is easy to read and understand. 3. He has a good mix of theory and application. As an engineering faculty teaching differential equations, I really appreciate the examples that show how differential equations arise and why they are useful things to study."
Dewey Edition23
TitleLeadingA
IllustratedYes
Dewey Decimal515.35
Table Of Content1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. Project 1: Diving Deception Pass. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. Project 2: Harvesting Natural Resources. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of Differential Equations. Chapter 3 in Review. Project 3: Swimming the Salmon River. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Differential Equations: Basic Theory. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients- Superposition Approach. Undetermined Coefficients- Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. Project 4: Bungee Jumping. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review. Project 5: The Collapse of Galloping Gertie. 6: SERIES SOLUTIONS OF LINEAR EQUATIONS. Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review. Project 6: Defeating Tamarisk. 7. LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review. Project 7: Murder at the Mayfair. 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review. Project 8: Designing for Earthquakes. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods and Error Analysis. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review. Project 9: The Hammer. Appendix I: Gamma Function. Appendix II: Introduction to Matrices. Appendix III: Laplace Transforms. Selected Answers for Odd-Numbered Problems.
SynopsisMaster differential equations and succeed in your course with A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS with accompanying CD-ROM and technology! Straightfoward and readable, this mathematics text provides you with tools such as examples, explanations, definitions, and applications designed to help you succeed. The accompanying DE Tools CD-ROM makes helps you master difficult concepts through twenty-one demonstration tools such as Project Tools and Text Tools. Studying is made easy with iLrn® Tutorial, a text-specific, interactive tutorial software program that gives the practice you need to succeed., Now enhanced with the innovative DE Tools CD-ROM and the iLrn teaching and learning system, this proven text explains the "how" behind the material and strikes a balance between the analytical, qualitative, and quantitative approaches to the study of differential equations. This accessible text speaks to students through a wealth of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and group projects. Author Dennis G. Zill wrote this book with the student's understanding kept firmly in mind. He presents the material in a straightforward, readable, and helpful manner, while keeping the level of theory consistent with the notion of a "first course."
LC Classification NumberQA372.Z54 2004
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Ratings and Reviews
Most relevant reviews
- Sep 18, 2019
Not for beginners without a course instructor
Rating explanation: One star because contrary to the book title, it is not for beginners, at least not without being in an instructor led course. This book may be great for a continuing course in DEs. The student solution manual leaves something to be desired, but if you can find the instructor's solution manual, you can get all the answers for checking your work. It does not contain any worked out problems, just answers. I am about 1/3 of the way through chapter 2, and one thing I am finding consistent concerning the exercise sets is that the problems are much more difficult than "a first course" should have - at least for a self-learner like myself. I've done some work out of Boyce's Elementary DEs, 6th ed., and I am finding that it is much better suited for self-study, especially if you get the matching student's solutions manual. Another advantage of the Boyce 6th ed. text is that it is exactly what Sal Khan uses for his DE course on the khanacademy site. If you have completed differential and integral calculus, I recommend the Khan Academy course; it's free, and Sal really does a good job.Verified purchase: YesCondition: Pre-owned
