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Special Functions & Their Applications (Dover Books on Mathematics)
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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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- 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?
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Students of Mathematics
Ideal for undergraduate and graduate students seeking in-depth understanding of special functions and their applications.
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Applied Scientists
Beneficial for scientists needing a comprehensive reference for using special functions in engineering and physical sciences.
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Educators and Researchers
Useful for teachers and researchers requiring a solid foundation and reference material on special mathematical functions.
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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
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
Product Price History
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BDT 3572
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Features & Benefits
- 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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