Ordinary Differential Equations - (Dover Books on Mathematics) by Morris Tenenbaum & Harry Pollard (Paperback)

This comprehensive and well-organized textbook on Ordinary Differential Equations (ODEs) provides an in-depth survey of the subject, covering a wide range of topics from basic terms and definitions to advanced methods for solving differential equations.

The book is written in a clear and concise manner, making it accessible to undergraduate students and teaching professionals alike. The text begins by examining the origin of ODEs and defining key terms, before moving on to explore integrating factors, dilution and accretion problems, Laplace Transforms, Newton's Interpolation Formulas, and more.

The book also includes two exceptional chapters on series methods and numerical methods for solving differential equations. Throughout the text, the authors provide numerous examples and practice exercises to help students reinforce their understanding of the material.

Additionally, the book concludes with an in-depth examination of existence and uniqueness theorems about a variety of differential equations, as well as an introduction to the theory of determinants. With its balance between theory and application, Ordinary Differential Equations is an ideal textbook for undergraduate students and teaching professionals looking to gain a comprehensive understanding of this important mathematical subject.