Special Functions & Their Applications by N N Lebedev (Author)

Special Functions and Their Applications by N.N. Lebedev, translated by Richard A. Silverman, is a seminal work that delves into the theory and applications of special functions, which are fundamental in various branches of mathematics, physics, and engineering. This comprehensive text explores a wide array of special functions, including Bessel functions, Legendre polynomials, and hypergeometric functions, providing clear definitions, properties, and numerous applications in solving differential equations and mathematical problems. Lebedev’s rigorous approach combines theoretical insights with practical applications, making the book an essential resource for students and professionals alike. With its detailed explanations and extensive examples, this book serves as both a reference guide and a textbook, facilitating a deeper understanding of special functions and their significance in scientific research and practical problem-solving.

Key Points:

1. In-Depth Coverage: Offers a comprehensive exploration of special functions, including their definitions, properties, and classifications.

2. Rigorous Mathematical Framework: Provides a solid theoretical foundation for understanding the derivation and behavior of various special functions.

3. Practical Applications: Illustrates how special functions are applied in solving differential equations and real-world problems in physics and engineering.

4. Numerous Examples: Features a wealth of examples that demonstrate the practical use of special functions in diverse fields.

5. Accessible Presentation: Written in a clear and concise manner, making complex concepts more accessible to readers.

6. Mathematical Techniques: Introduces various mathematical techniques used in the analysis and application of special functions.

7. Historical Context: Discusses the historical development of special functions, providing insight into their evolution and significance.

8. Cross-Disciplinary Relevance: Highlights the importance of special functions across multiple disciplines, including applied mathematics, quantum mechanics, and electrical engineering.

9. Exercises and Problems: Includes exercises that challenge readers to apply what they have learned and deepen their understanding of the material.

10. Translator's Insights: Richard A. Silverman's translation ensures that the original work's intent and clarity are preserved, making it accessible to a wider audience.

Conclusion:

Special Functions and Their Applications is a vital text for anyone studying mathematics, physics, or engineering. N.N. Lebedev's comprehensive treatment of special functions not only equips readers with essential theoretical knowledge but also emphasizes practical applications in various scientific domains. This book is a valuable resource for both students and professionals seeking to enhance their understanding of special functions and their critical role in solving complex mathematical problems.

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Writer                 ✤            
N. N. Lebedev (Author), Richard A. Silverman (Translator)