Ordinary Differential Equations: An Elementary Textbook for Students of Mathematics, Engineering, and the Sciences (Dover Books on Mathematics)

The authors — Morris Tenenbaum of Cornell University and Harry Pollard of Purdue University — introduce and explain complex, critically important concepts to undergraduate students of mathematics, engineering, and the sciences.

A skillfully organized introductory text examines the origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors, dilution and accretion problems, linearization of first-order systems, Laplace Transforms, Newton's Interpolation Formulas, and more.
 

• Comprehensive Introduction: Offers an exhaustive survey of ordinary differential equations, simplifying complex concepts for students of mathematics, engineering, and the sciences.
• Step-by-Step Style: Presents topics in a simple, sequential manner without sacrificing mathematical rigor, ensuring clarity and understanding.
• Clear Definitions and Theorems: Every term and theorem is articulated clearly and thoroughly analyzed, balancing theory and application effectively.
• Diverse Topics Covered: Includes essential subjects such as integrating factors, Laplace Transforms, Newton's Interpolation Formulas, and more.
• Exceptional Chapters on Series and Numerical Methods: Provides insights on the Legendre Differential Equation, Legendre Functions, Bessel Differential Equation, and numerical methods of solving differential equations.
• Abundant Solved Problems and Exercises: Equipped with numerous practice problems to solidify understanding and promote self-study.
• In-Depth Examination of Theorems: Concludes with a thorough look at existence and uniqueness theorems, introduction to determinants, and Wronskians, providing a rounded understanding of the subject.
• Valuable for Classroom Use: An excellent resource for undergraduate students and teaching professionals, enhancing learning experiences.

Throughout Ordinary Differential Equations, every term is clearly defined. Every theorem is lucidly and thoroughly analyzed, and there is an admirable balance between the theory of differential equations and their application.