Title
Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics),Used
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Designed to include a maximum of information and to meet the needs of scientists in all fields, it is a monumental piece of work, a comprehensive and selfcontained summary of the mathematical functions that arise in physical and engineering problems.Despite the increasing use of computers, the basic need for mathematical tables continues. Tables serve a vital role in preliminary surveys of problems before programming for machine operation, and they are indispensable to thousands of engineers and scientists without access to machines. Because of automatic computers, however, and because of recent scientific advances, a greater variety of functions and a higher accuracy of tabulation than have been available until now are required.In 1954, a conference on mathematical tables, sponsored by M.I.T. and the National Science Foundation, met to discuss a modernization and extension of Jahnke and Emde's classical tables of functions. This volume, published 10 years later by the U.S. Department of Commerce, is the result.The book contains 29 sets of tables, some to as high as 20 places: Mathematical constants; physical constants and conversion factors (6 tables) Exponential integral and related functions (7); error function and Fresnel integrals (12) Bessel functions of integer (12) and fractional (13) order; integrals of Bessel functions (2); Struve and related functions (2) Confluent hypergeometric functions (2); Coulomb wave functions (2) Hypergeometric functions; Jacobian elliptic and theta functions (2) Elliptic integrals (9); Weierstrass elliptic and related functions; parabolic cylinder functions (3) Mathieu functions (2); spheroidal wave functions (5); orthogonal polynomials (13) Combinatorial analysis (9); numerical interpolation, differentiation and integration (11) Probability functions (ll); scales of notation (6); miscellaneous functions (9) Laplace transforms (2); and othersEach of these sections is prefaced by a list of related formulas and graphs: differential equations, series expansions, special functions, and other basic relations. These constitute an unusually valuable reference work in themselves. The prefatory material also includes an explanation of the numerical methods involved in using the tables that follow and a bibliography.Numerical examples illustrate the use of each table and explain the computation of function values which lie outside its range, while the editors' introduction describes higherorder interpolation procedures. Well over 100 figures illustrate the text.In all, this is one of the most ambitious and useful books of its type ever published, an essential aid in all scientific and engineering research, problemsolving, experimentation and field work. This edition contains every page of the original government publication.Dover is widely recognized for a magnificent mathematics list featuring such worldclass theorists as Paul J. Cohen (Set Theory and the Continuum Hypothesis), Alfred Tarski (Undecidable Theories), Gary Chartrand (Introductory Graph Theory), Hermann Weyl (The Concept of a Riemann Surface), Shlomo Sternberg (Dynamical Systems), and multiple works by C. R. Wylie in geometry, plus Stanley J. Farlow's Partial Differential Equations for Scientists and Engineers.
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- Q: How many pages does the Handbook of Mathematical Functions have? A: One thousand seventy-two pages. This extensive length ensures comprehensive coverage of mathematical functions relevant to various scientific fields.
- Q: What are the dimensions of this book? A: The dimensions are eight point two seven inches in length, one point seven five inches in width, and ten point seven five inches in height. These measurements make it a sizable reference book.
- Q: What type of binding does this book have? A: It has a paperback binding. This type of binding is commonly used for textbooks and reference works.
- Q: How do I use the mathematical tables in this book? A: You can refer to the tables for quick access to mathematical functions. Each table is prefaced with formulas and graphs to facilitate understanding.
- Q: Is this book suitable for beginners in mathematics? A: Yes, it is suitable for beginners. It provides clear explanations alongside advanced topics, making it accessible for various skill levels.
- Q: Can I use this book for engineering problems? A: Yes, it is specifically designed for engineers. The book summarizes mathematical functions that are essential in solving physical and engineering problems.
- Q: How should I care for this book to keep it in good condition? A: Store it in a cool, dry place and avoid exposure to direct sunlight. This will help prevent fading and deterioration over time.
- Q: Is this book safe to store near other books? A: Yes, it is safe to store near other books. Just ensure it is kept upright and not overloaded to prevent damage.
- Q: Are there any warranty options for this book? A: No, there is typically no warranty for books. However, check the retailer's return policy for any issues upon receipt.
- Q: What if the book arrives damaged? A: Contact the seller immediately for assistance. They may offer a replacement or refund based on their return policy.
- Q: Is this book recognized in the academic community? A: Yes, it is widely recognized. Dover Publications is known for publishing reputable academic texts, making this book a valuable resource.
- Q: How does this book compare to other mathematical references? A: It is more comprehensive than many standard texts. This book includes extensive tables and formulas that are often not found in other references.
- Q: Can I use this book for self-study? A: Yes, it is suitable for self-study. The structured tables and explanations make it a great resource for independent learners.
- Q: Does this book include examples of problem-solving? A: Yes, it includes numerous numerical examples. These examples illustrate the application of tables and functions in real-world scenarios.
- Q: What is the primary audience for this book? A: The primary audience includes scientists and engineers. It is designed to meet the needs of professionals in various technical fields.
- Q: Is there a bibliography included in this book? A: Yes, a bibliography is included. This provides additional resources for further reading and research in the field of mathematics.