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Special Functions & Their Applications (Dover Books On Mathematics)
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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.
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- Q: What is the page count of this book? A: This book contains three hundred thirty-six pages. It provides a comprehensive overview of special functions and their applications in various fields.
- Q: What are the dimensions of this book? A: The book measures five point four three inches in length, zero point six four inches in width, and eight point four seven inches in height. These dimensions make it a convenient size for reading and referencing.
- Q: What type of binding does this book have? A: This book is available in paperback binding. This binding style offers flexibility and portability for students and professionals alike.
- Q: Who is the author of this book? A: The author of this book is N. N. Lebedev. He is a renowned contemporary Russian mathematician known for his work on special functions.
- Q: What topics does this book cover? A: This book covers various topics related to special functions, including gamma functions, probability integrals, and spherical harmonics. It is designed for students and applied mathematicians.
- Q: How do I use this book effectively? A: To use this book effectively, start with the introductory chapters before moving to specific applications. The problems at the end of each chapter reinforce understanding.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners with a basic understanding of complex variable theory. It presents special functions in an accessible and practical manner.
- Q: Can I use this book for self-study? A: Yes, this book is ideal for self-study. It includes numerous problems and applications that help reinforce learning and understanding of special functions.
- Q: What is the educational level of this book? A: This book is appropriate for undergraduate and graduate students in mathematics, physics, and engineering. It bridges theoretical concepts with practical applications.
- Q: How should I store this book? A: Store this book in a cool, dry place to maintain its condition. Avoid exposure to direct sunlight to prevent fading of the cover and pages.
- Q: Is there a warranty for this book? A: Books typically do not come with a warranty. However, if purchased through a retailer, inquire about their return policy for damaged items.
- Q: What if the book arrives damaged? A: If the book arrives damaged, contact the retailer for their return policy. Most retailers will provide a replacement or refund for damaged items.
- Q: Can I find additional problems in this book? A: Yes, this edition includes additional problems that enhance its usefulness for English readers. These problems are designed to reinforce the concepts presented in the chapters.
- Q: Is this book recommended for professionals? A: Yes, this book is recommended for professionals who require practical applications of special functions in physics and engineering.
- Q: Does this book include references and bibliography? A: Yes, the book includes a bibliography and references that focus on resources available in English and West European languages, enhancing its accessibility.