What are the key topics covered in 'Special Functions & Their Applications'?

The book delves deeply into various special functions such as Bessel functions, Legendre polynomials, and orthogonal polynomials. It explains the mathematical theories behind these functions and illustrates their applications in physics and engineering. By studying these topics, readers can gain insights into complex phenomena like wave propagation, heat conduction, and quantum mechanics, enhancing their mathematical toolkit for solving real-world problems.

Who is the target audience for this book?

This book is primarily aimed at advanced undergraduate and graduate students in mathematics, physics, and engineering. It's also a valuable resource for professionals and researchers looking to acquire a deeper understanding of special functions. The comprehensive explanations and applied examples make it suitable for self-study as well, aiding anyone interested in advancing their knowledge in mathematical methods and applications.

How is the content of the book structured?

The content is organized into clear sections that introduce special functions sequentially, starting from fundamentals to more complex applications. Each part includes theoretical discussions, derived properties, and examples to illustrate practical uses. This structured approach not only reinforces learning but also facilitates easier navigation for readers focusing on specific topics, such as mathematical physics or engineering challenges.

What makes this edition of the book distinct?

The revised edition features updated content and additional examples that reflect recent developments in the field. It incorporates feedback from readers and educators to enhance clarity and usability. The added insights make it a more comprehensive guide, ensuring that both new learners and seasoned professionals can benefit from the latest standards in mathematical functions and applications.

Can this book assist with engineering applications?

Absolutely! 'Special Functions & Their Applications' includes practical examples pertinent to various engineering disciplines. Engineers can apply the mathematical concepts from the book to solve problems related to wave equations, heat transfer, and signal processing. The functions explained serve as critical tools in designing systems and analyzing processes in mechanical, electrical, and civil engineering.

Does the book provide solved examples?

Yes, the book contains numerous solved examples that clarify the application of special functions in various contexts. These examples assist in bridging the gap between theory and practice, giving readers practical insight into how to apply mathematical concepts to real-world scenarios. Whether you are working through theoretical exercises or practical case studies, these solutions are invaluable for understanding complex concepts.

What is the significance of special functions in applied mathematics?

Special functions play a pivotal role in applied mathematics as they frequently arise in the solutions of differential equations, which model many physical phenomena. Their properties and relationships provide essential insights for solving problems in quantum mechanics, fluid dynamics, and statistical mechanics. Understanding these functions equips students and professionals with essential techniques for tackling a variety of mathematical applications.

Are there prerequisites for understanding the material in this book?

A fundamental understanding of calculus and differential equations is recommended for readers. Familiarity with linear algebra and basic mathematical analysis can also be beneficial. This background enables readers to more easily grasp the function properties and applications discussed throughout the text, ensuring a smoother learning experience as they engage with advanced mathematical concepts.

How can this book enhance my problem-solving skills?

By studying 'Special Functions & Their Applications,' readers will develop critical analytical skills. The book offers systematic methodologies to approach complex problems through the lens of special functions. Engaging with the exercises and examples allows learners to practice applying these strategies, ultimately improving their problem-solving capabilities in both academic and professional contexts.

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Special Functions & Their Applications (Dover Books on Mathematics)

Lebedev's introductory and practically oriented approach results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses.

Numéro d'article: 28577205

Special Functions & Their Applications (Dover Books on Mathematics)

Q: Where can I buy Special Functions & Their Applications Dover Books on Mathematics Revised ed. Edition?

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Lebedev's introductory and practically oriented approach results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses.

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Comprehensive Coverage

This book provides an extensive examination of special functions, making it an invaluable resource for students and professionals seeking deep insights into mathematical applications across various disciplines.

Revised Edition

The revised edition includes updates and improved explanations, ensuring clarity and modern relevance in understanding special functions and their applications in contemporary mathematics and engineering.

Accessible Resource

Designed for a broad audience, this book balances theory with practical applications, making complex concepts more accessible for readers from diverse mathematical backgrounds and establishing its value in academic and professional settings.

Détails du produit

Translated work of N.N. Lebedev, a famous Russian mathematician
Introductory and practically oriented approach to special functions
Covers basic theory and applications in physics and engineering
Focuses on cylinder functions and spherical harmonics
Also includes topics like gamma function, probability integral, and hypergeometric functions
Arrangement of material allows for independent study of different chapters

Publisher	Dover Publications
Publication date	June 1, 1972
Edition	Revised ed.
Language	English
Print length	336 pages
ISBN-10	0486606244
ISBN-13	978-0486606248
Item Weight	10.4 ounces (294.84 grams)
Dimensions	5.43 x 0.64 x 8.47 inches (13.8 x 1.6 x 21.5 cm)
Part of series	Dover Books on Mathematics

À qui est-ce destiné ?

Students of Mathematics
Ideal for undergraduate and graduate students seeking in-depth understanding of special functions and their applications.
Applied Scientists
Beneficial for scientists needing a comprehensive reference for using special functions in engineering and physical sciences.
Educators and Researchers
Useful for teachers and researchers requiring a solid foundation and reference material on special mathematical functions.

Casual Learners
Not suitable for individuals seeking a light introduction or overview of mathematics without rigorous technical details.

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Special Functions & Their Applications (Dover Books on Mathematics)

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Calculus Editorial Review

This book, "Special Functions & Their Applications" is a valuable addition to any collection as it provides insights into the development of Bessel Function of the Second Kind and serves its purpose as a book on special functions. The book is not for the faint of heart and requires a willingness to study the material with a pen and paper in hand. Richard Silverman's translation style makes it readable to the English world. The book has clear exposition, many examples, and is recommended for a certain level of math proficiency. Overall, this book is an excellent resource for those studying methods of mathematical physics.

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Avantages

Valuable addition to any collection
Provides insights into the development of Bessel Function of the Second Kind
Clear exposition and many examples
Recommended for certain level of math proficiency

Les inconvénients

Not for the faint of heart, requires willingness to study with pen and paper in hand

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Caractéristiques et avantages

Richard Silverman provides a new translation of N. N. Lebedev's work
Lebedev's practical approach to the basic theory of special functions
Treatment of applications of special functions to specific problems of physics and engineering
Useful properties of special functions found in problems at the end of chapters
Revised edition adheres closely to the original and additional problems added to the English edition
Familiarity with complex variable theory needed, but required background kept to a minimum

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Special Functions & Their Applications (Dover Books on Mathematics)

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Calculus Editorial Review

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