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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.
Special Functions & Their Applications (Dover Books on Mathematics)
Item #: 28577205

Special Functions & Their Applications (Dover Books on Mathematics)

Item #: 28577205

BDT 3572

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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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What Stands Out

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.

Product Details

Discover the revised edition of Special Functions & Their Applications by Dover Books on Mathematics. Explore a wide range of applications in this comprehensive book. Shop now at Ubuy Bangladesh!
  • Richard Silverman's new translation makes available to English readers the work of the famous contemporary Russian mathematician N. N. Lebedev. Though extensive treatises on special functions are available, these do not serve the student or the applied mathematician as well as Lebedev's introductory and practically oriented approach. His systematic treatment of the basic theory of the more important special functions and the applications of this theory to specific problems of physics and engineering results in a practical course in the use of special functions for the student and for those concerned with actual mathematical applications or uses. In consideration of the practical nature of the coverage, most space has been devoted to the application of cylinder functions and particularly of spherical harmonics. Lebedev, however, also treats in some detail: the gamma function, the probability integral and related functions, the exponential integral and related functions, orthogonal polynomials with consideration of Legendre, Hermite and Laguerre polynomials (with exceptional treatment of the technique of expanding functions in series of Hermite and Laguerre polynomials), the Airy functions, the hypergeometric functions (making this often slighted area accessible to the theoretical physicist), and parabolic cylinder functions. The arrangement of the material in the separate chapters, to a certain degree, makes the different parts of the book independent of each other. Although a familiarity with complex variable theory is needed, a serious attempt has been made to keep to a minimum the required background in this area. Various useful properties of the special functions which do not appear in the text proper will be found in the problems at the end of the appropriate chapters. This edition closely adheres to the revised Russian edition (Moscow, 1965). Richard Silverman, however, has made the book even more useful to the English reader. The bibliography and references have been slanted toward books available in English or the West European languages, and a number of additional problems have been added to this edition.
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

Who Should Buy?

Suitable For
  • 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.

Not Suitable For
  • Casual Learners

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

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Calculus Editorial Review

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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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Pros

  • 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

Cons

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

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