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Differential Equations with Boundary-Value Problems

Author(s): Dennis G. Zill

ISBN: 9789360532291

9th Edition

Copyright: 2018

India Release: 2025

₹1695

Binding: Paperback

Pages: 648

Trim Size: 279x216 mm

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Straightforward and easy to read, DIFFERENTIAL EQUATIONS WITH BOUNDARY-VALUE PROBLEMS, 9th Edition, gives you a thorough overview of the topics typically taught in a first course in Differential Equations as well as an introduction to boundary-value problems and partial Differential Equations. Your study will be supported by a bounty of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and more.

  • Extended homework problems at the end of selected section exercises were submitted and classroom-tested by members of the differential equations instructors.
  • The development of material in this text progresses intuitively, and explanations are clear and concise. Exercises reinforce and build on chapter content.
  • This text guides students through material necessary to progress to the next level of study; its clear presentation and mathematical precision make it an excellent reference tool in future courses.
  • While this text is time-tested and widely accepted, it has remained current with the addition of new exercises, and the enhanced four-color presentation.
  • Exercises in this edition have been updated to better test and challenge students.
  • A new design helps students quickly identify resources in the text and emphasizes the application of Differential Equations in the world around them.

1. Introduction to Differential Equations
2. First-Order Differential Equations
3. Modeling With First-Order Differential Equations
4. Higher-Order Differential Equations
5. Modeling With Higher-Order Differential Equations
6. Series Solutions of Linear Equations 
7. Laplace Transform 
8. Systems Of Linear First-Order Differential Equations
9. Numerical Solutions of Ordinary Differential Equations
10. Plane Autonomous Systems
11. Orthogonal Functions and Fourier Series
12. Boundary-Value Problems in Rectangular Coordinates
13. Boundary-Value Problems in Other Coordinate Systems
14. Integral transform method
15. Numerical Solutions of Partial Differential Equations
Laplace's Equation. Heat Equation. Wave Equation. Chapter 15 in Review.
Appendix I: Gamma Function.
Appendix II: Matrices.
Appendix III: Laplace Transforms.
Answers for Selected Odd-Numbered Problems.

Dennis G. Zill

Dennis Zill received a PhD in Applied Mathematics from Iowa State University, and is a former professor of Mathematics at Loyola Marymount University in Los Angeles, Loras College in Iowa, and California Polytechnic State University. 

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