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Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics) 0009-Revised Edition
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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 others
Each 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 higher-order 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, problem-solving, 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 world-class 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.
- ISBN-100486612724
- ISBN-13978-0486612720
- Edition0009-Revised
- PublisherDover Publications
- Publication dateJune 1, 1965
- LanguageEnglish
- Dimensions8.25 x 1.75 x 10.75 inches
- Print length1046 pages
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Product details
- Publisher : Dover Publications; 0009-Revised edition (June 1, 1965)
- Language : English
- Paperback : 1046 pages
- ISBN-10 : 0486612724
- ISBN-13 : 978-0486612720
- Item Weight : 3.45 pounds
- Dimensions : 8.25 x 1.75 x 10.75 inches
- Best Sellers Rank: #536,493 in Books (See Top 100 in Books)
- #45 in Functional Analysis Mathematics
- #141 in Mathematics Reference (Books)
- #381 in Mathematics Study & Teaching (Books)
- Customer Reviews:
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Learn more how customers reviews work on AmazonCustomers say
Customers find the book an excellent reference book with lots of formulas. They also describe the structure as very extensive and organized. Opinions are mixed on readability, with some finding it well-put together and others saying it was put together without care for readability.
AI-generated from the text of customer reviews
Customers find the book an excellent reference book with awesome stuff. They also say it's very useful, indispensable, and a good reference for formulas. Readers also say the book is great to have around, offering tons of solutions to integrals, series, functions, and more.
"This book is great to have around, it offers tons of solutions to integrals, series, functions, etc... this is a must have for every scientist or..." Read more
"A very excellent book. Just like new. Thank you very much!!" Read more
"Great text for anyone in an engineering, science or math field...." Read more
"This book is a well-known classic which deserves all praises.I used the volume available in my work's library during many years...." Read more
Customers find the book very extensive, organized, and concise. They also say the tables greatly facilitate hard work.
"...The list of special functions is impressive and it also contains many other useful tables." Read more
"...present the results in an elegant, concise and tables greatly facilitate the hard work. A serious and comprehensive work" Read more
"...Even in the age of Internet, this book is very extensive organized and can help find useful relations one was not aware of." Read more
Customers are mixed about the readability. Some mention that the book is put together well, very professional, and presents the results in an elegant, concise manner. However, others say that it was produced without care for readability and as a poor quality eBook.
"...Overall the book is put together well. The list of special functions is impressive and it also contains many other useful tables." Read more
"...the equations in the graphics are of poor quality and sometimes barely readable. Kindle ought to be better but they continue to suck at graphics." Read more
"excellent, very professional, present the results in an elegant, concise and tables greatly facilitate the hard work. A serious and comprehensive work" Read more
"...But this publisher just spat out this edition without care for readability. I wasted my money buying this edition. Don't waste yours." Read more
Customers find the visuals in the book not good.
"...the eBook is a collection of scanned pages and the resolution of the pages isn't high enough to resolve the mathematical formulas clearly...." Read more
"Kindle graphics not good..." Read more
"Unreadable, poorly-defined graphics..." Read more
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Top reviews
Top reviews from the United States
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Event today with software like Mathematica this book will still be useful, specially in those cases in which the software just doesnt give you the correct or expected answer. Im an EE grad student, and this book by Abramowitz coupled with Table of Integrals, Series, and Products, Eighth Edition have provided me with many useful analytic solutions to very difficult integrals and functions which appear in engineering, I highly recommend both books.
-- Encyclopedia Of Mathematics (Science Encyclopedia)
-- The Princeton Companion to Mathematics
-- Handbook of Mathematical Functions: with Formulas, Graphs, and Mathematical Tables (Dover Books on Mathematics)
-- NIST Handbook of Mathematical Functions (Being of course the 2010 update of the Abramowitz classic above).
Given these four, there is hardly a topic from among the current 495 math fields of study that isn't at least explained in enough detail to save LOTS of time on link expeditions. At minimum, these give head starts on alphabetized keywords that will quickly fill holes in any research project, class, or syllabus.
I used the volume available in my work's library during many years.
However, I retired recently and rushed to get my own copy.
There seems to be be other similar books, some with added
material, but this Handbook is good enough.
Carlos Alberto Dantas Moura
Unfortunately the eBook is a collection of scanned pages and the resolution of the pages isn't high enough to resolve the mathematical formulas clearly. On my iPad 2 I have to zoom right in and squint to try and figure out what symbol the blob of pixels represents.
Navigation is also a problem. Each page has two scanned images, despite each image being of the same page. Forget about clicking references or jumping to a page number.
As a book, the content is unsurpassed, but I wouldn't recommend the eBook version because of the poor quality conversion. I wish I had the paper copy.
Top reviews from other countries
O manual, ao lado de inúmeras equações de diversos campos da matemática, traz uma quantidade significativa de gráficos e de tabelas numéricas para viabilizar cálculos práticos em problemas que utilizam as referidas equações. Destaco a presença de exemplos demonstrando a utilização das tabelas.
Para quem estuda e/ou trabalha com exatas e engenharias, este livro funciona muito bem com a famosa “Tabela Schaum” (Manual de Fórmulas, Métodos e Tabelas de Matemática, do autor Murray Spiegel e editado pela McGraw-Hill).
O exemplar adquirido é usado e, ainda que trazendo marcas de frequente utilização, está em bom estado :-)
A entrega ocorreu em prazo mais rápido que o previsto, mesmo sendo compra internacional, e o vendedor foi cuidadoso, embalando o livro num pacote plástico adicional, totalmente vedado, além da caixa-padrão, para protegê-lo até a chegada. Estou bem satisfeito com a aquisição :-D
Reviewed in Brazil on January 12, 2024
O manual, ao lado de inúmeras equações de diversos campos da matemática, traz uma quantidade significativa de gráficos e de tabelas numéricas para viabilizar cálculos práticos em problemas que utilizam as referidas equações. Destaco a presença de exemplos demonstrando a utilização das tabelas.
Para quem estuda e/ou trabalha com exatas e engenharias, este livro funciona muito bem com a famosa “Tabela Schaum” (Manual de Fórmulas, Métodos e Tabelas de Matemática, do autor Murray Spiegel e editado pela McGraw-Hill).
O exemplar adquirido é usado e, ainda que trazendo marcas de frequente utilização, está em bom estado :-)
A entrega ocorreu em prazo mais rápido que o previsto, mesmo sendo compra internacional, e o vendedor foi cuidadoso, embalando o livro num pacote plástico adicional, totalmente vedado, além da caixa-padrão, para protegê-lo até a chegada. Estou bem satisfeito com a aquisição :-D
Alloows one to use a calculator or slide rule (!!) in lieu of a computer if doing field remote calcs, or the power dies! Also useful to add iterations into spreadsheets for determining values. A must-have for those needing an excellent reference with tables, calcs, formulae, and more. Highly recommended!
polinomi ortogonali, analisi cominatoria ... trasformate di Laplace.
Sicuramente utilizzabile da fisici e matematici che devono fare calcoli.
Potrebbe essere stato utile a Katherine Johnson (vedi film HiddenFigures- Il diritto di contare).
Questa ristampa della Dover Publications nonostane le sue dimensioni più di 1000 pagine è molto robusta nella rilegatura.








