Difference Equations: Theory, Applications and Advanced Topics, Third Edition (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Book Details

• Publisher: CRC Press

• Author: Ronald E. Mickens

• ISBN: 9781482230789

• Edition: 3

• Binding: Hardcover

• Pages: 555

• Release Date: 24-03-2015

• Languages: English

About The Book
"Difference Equations: Theory, Applications, and Advanced Topics" (Third Edition) provides a comprehensive introduction to the theory and application of difference equations. This updated edition continues to cover general, linear, first-, second-, and n-th order difference equations along with nonlinear equations that can be simplified into linear forms. Additionally, the book delves into partial difference equations and their real-world applications.

A key feature of the third edition is the expanded coverage of advanced topics, including discrete Cauchy–Euler equations, gamma, beta, and digamma functions, Lambert W-function, Euler polynomials, and functional equations. The book also introduces the exact discretization of differential equations.

The new chapters highlight how difference equations can be applied to complex problems in engineering, natural sciences, and social sciences, demonstrating their broad utility in mathematical modeling.

The book is designed for both self-study and use as a main text for courses on difference equations. It is written in an informal style, avoiding complex formalities in favor of clarity and practical understanding, making it accessible to students and professionals alike.

Key Features:

• A broad introduction to difference equations and their applications in various fields.

• New chapters on special topics and advanced methods.

• Worked examples to illustrate solutions to special classes of difference equations.

• Expanded bibliography for further reading.

• Suitable for self-study or as a textbook for courses.