Ordinary Differential Equations:...
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Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Explores i…
Book Summary
This Dover edition of Tenenbaum and Pollard's classic text offers a rigorous yet accessible introduction to ordinary differential equations. It covers first-order equations, integrating factors, dilution and accretion problems, Laplace transforms, and Newton's interpolation formulas. Ideal for undergraduates and self-learners, it emphasizes both theory and practical problem-solving, with clear explanations and numerous examples that build a solid foundation in ODEs.
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About Ordinary Differential Equations:...
Morris Tenenbaum and Harry Pollard's 'Ordinary Differential Equations' is a comprehensive introductory textbook that skillfully balances theory and application. It begins by examining the origin of differential equations and defining basic terms, then outlines the general solution of a differential equation. The text explores integrating factors, dilution and accretion problems, Laplace transforms, and Newton's interpolation formulas, among other topics. Known for its clarity and rigor, this Dover edition is well-suited for a first course in ODEs. The authors provide detailed explanations and a wide range of exercises, making it a valuable resource for students in mathematics, engineering, and the sciences who seek a deep understanding of the subject.
Who should read Ordinary Differential Equations:...?
This book is ideal for undergraduate students in mathematics, engineering, and the physical sciences taking a first course in differential equations. It also suits self-learners and professionals seeking a rigorous yet accessible reference. Instructors looking for a clear, well-organized textbook with ample exercises will find it valuable. Readers should have a solid background in calculus, including differentiation and integration, to fully benefit from the material.
Pros & Cons
Pros
- ✓ Clear and rigorous explanations of core ODE concepts
- ✓ Comprehensive coverage of standard topics and applications
- ✓ Numerous worked examples and exercises for practice
- ✓ Affordable Dover edition makes it accessible to students
- ✓ Classic text trusted by generations of learners
Cons
- ✗ Some readers may find the notation dated compared to modern texts
- ✗ Lacks coverage of numerical methods in depth
- ✗ Exercises vary in difficulty, with some requiring significant effort
- ✗ No solutions manual included, which can hinder self-study
- ✗ Physical quality of Dover editions may be basic
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Frequently asked questions
Is this book suitable for self-study?
Yes, the clear explanations and numerous examples make it suitable for self-study, though a calculus background is essential. Some exercises may require additional guidance.
Does this edition include solutions to the exercises?
No, the book does not include a solutions manual. Students may need to consult other resources or instructors for help with exercises.
What mathematical background is required?
Readers should have completed a standard calculus sequence, including differentiation and integration. Some familiarity with linear algebra is helpful but not mandatory.
Is this book appropriate for engineering students?
Yes, it covers many applications relevant to engineering, such as dilution and accretion problems, and Laplace transforms, making it a good choice for engineering students.
How does this Dover edition differ from other editions?
This is a reprint of the classic 1963 edition. It is unabridged and unaltered, offering the same content at a more affordable price.
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