Ordinary Differential Equations: An Introduction to the Fundamentals

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals is a unique textbook that offers a layered approach to motivation, precision, explanation, and method. It emphasizes a basic understanding of the principles as well as modeling, computation procedures, and the use of technology. It includes new chapters on advanced numerical methods and systems, as well as many additional exercises and an extensive online solution manual. The author, Kenneth B. Howell, is a professor of mathematical sciences at the University of Alabama in Huntsville and has published numerous research articles in applied and theoretical mathematics.

Format: Paperback / softback
Length: 906 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

The Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals is a remarkable text that builds upon the success of its predecessor. It stands out for its unique approach to motivation, precision, explanation, and method. This textbook adopts a layered approach, providing instructors with ample flexibility in covering topics and delving into greater depth. Students will greatly appreciate the author's engaging style and clear explanations, which help to motivate readers and make complex concepts accessible.

The author emphasizes a solid foundation in principles, modeling, computation procedures, and the use of technology. The inclusion of illustrative examples and guides for carrying out lengthier computational procedures further enhances the learning experience.

The Second Edition offers several notable features:

Emphasis on Motivation: The text places strong emphasis on motivating students by providing insights into the real-world applications of differential equations. This helps to make the subject more relatable and engaging.

Basic Understanding of Mathematics: The author ensures that students have a solid grasp of the fundamental mathematical concepts underlying differential equations. This foundation enables students to build upon their knowledge and apply it effectively.

Layered Approach: The textbook adopts a layered approach, allowing instructors to customize their presentation based on their preferences and the abilities of their students. This flexibility ensures that the material can be tailored to meet the diverse needs of the classroom.

An Instructor's Guide: The author provides an instructors guide that offers valuable insights on how the text can be effectively applied to different courses. This guide provides valuable guidance for instructors in planning their teaching strategies.

New Chapters on Advanced Numerical Methods: The Second Edition includes new chapters on advanced numerical methods, such as the Runge-Kutta method and the numerical solution of second- and higher-order equations. These chapters provide students with valuable tools for solving complex differential equations.

Numerous Additional Exercises: The textbook includes a wealth of additional exercises, including two chapters of review exercises for first- and higher-order differential equations. These exercises help students to reinforce their understanding and apply the concepts learned in the text.

An Extensive Online Solution Manual: The book comes with an extensive online solution manual that provides detailed solutions to all the exercises and problems in the text. This resource is invaluable for students who need additional assistance with their studies.

About the Author: Kenneth B. Howell is a renowned mathematician with a diverse academic background. He holds bachelor's degrees in both mathematics and physics from Rose-Hulman Institute of Technology, as well as master's and doctoral degrees in mathematics from Indiana University. With over thirty years of teaching experience, Dr. Howell has a deep understanding of differential equations and their applications.

In conclusion, the Second Edition of Ordinary Differential Equations: An Introduction to the Fundamentals is a exceptional text that offers a comprehensive and engaging approach to differential equations. Its unique layered approach, emphasis on motivation, solid mathematical foundation, advanced numerical methods, and extensive resources make it an invaluable tool for students and instructors alike. Whether you are a beginner or an advanced student, this textbook will help you to deepen your understanding of differential equations and their applications in various fields.

Weight: 1680g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032475059
Edition number: 2 ed