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

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. Read more

From the Publisher Your Clear-Cut Guide to Mastering Differential Equations Rigorous. Accessible. Unmatched in Clarity. Exceptionally Clear and Thorough – Introduces core concepts of ordinary differential equations in a step-by-step style that’s both approachable and mathematically rigorous. Ideal for Undergraduates – Designed for students in math, engineering, and the sciences, with clear definitions, theorems, and abundant solved problems. Broad and Deep Coverage – Topics range from integrating factors and Laplace transforms to Picard’s method, numerical solutions, and complex variables. Special Focus on Series & Numerical Methods – Includes detailed chapters on solving equations via series (Legendre, Bessel, Laguerre) and modern numerical approaches.