Fast Track to Differential Equations: Applications-Oriented-Comprehensible-Compact

This textbook provides a concise introduction to ordinary differential equations and their applications, focusing on modelling and solving first and second-order equations with examples from physics, technology, biomathematics, cosmology, economy, and optimization theory. It includes program codes to demonstrate the use of computer algebra systems for tackling complex problems. The book is aimed at students, professors, and faculty and is praised for its clear explanations and helpful exercises.

Format: Paperback / softback
Length: 221 pages
Publication date: 06 October 2022
Publisher: Springer Nature Switzerland AG

The second edition of this highly successful textbook has been extensively revised and expanded to include a comprehensive chapter on Climate Change, providing an in-depth analysis of the CO2 budget. Additionally, a brand new section on Epidemiology has been introduced, covering the SEIR-model, which describes the behavior and dynamics of epidemics. Notably, the book discusses the COVID-19 pandemic with actual data. This concise introduction to ordinary differential equations and their applications is designed to cater to individuals who, whether voluntarily or involuntarily, encounter this versatile subject in their academic pursuits. Numerous real-world applications from fields such as physics, technology, biomathematics, cosmology, economy, and optimization theory are presented. Abstract proofs and excessive formalism are minimized, ensuring a focus on modeling and solving first and second-order ordinary differential equations, along with their analytical and numerical solution methods. The theory is briefly discussed before moving on to practical application examples. Furthermore, program codes are included to demonstrate exemplarily how even more complex questions can be addressed and represented meaningfully using a computer algebra system.

The first chapter serves as a foundational introduction to integral and differential calculus, encompassing 103 motivating exercises with their corresponding solutions. This comprehensive textbook is a valuable resource for students, professors, and faculty alike, offering a comprehensive and up-to-date understanding of ordinary differential equations and their applications.

“I am delighted to see the publication of this book. It will undoubtedly provide valuable support to numerous students, professors, and faculty members.”
- Dr. Alessio Figalli, Professor at ETH Zürich and Fields medalist 2018

Weight: 367g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030834524
Edition number: 2nd ed. 2021