An Atlas of Functions

Name: An Atlas of Functions | with Equator, the Atlas Function Calculator
Brand: Springer
Price: 160.49 EUR
Availability: BackOrder

with Equator, the Atlas Function Calculator

Keith B. Oldham Jan Myland Jerome Spanier(Author)

Springer (Publisher)

2nd Edition

Published on 2. December 2008

Book

Hardback

XI, 748 pages

978-0-387-48806-6 (ISBN)

€160.49incl. 7% vat

Shipment within 5-7 days

Description

Keith B. Oldham is a professor of Chemistry at Trent University in Ontario, Canada. He has co-authored several books, contributed to numerous others, and has published over 200 articles. He co-authored, with Jerome Spanier, the first edition of An Atlas of Functions.

Jan C. Myland is a Research Associate in Electrochemistry at Trent University.

Jerome Spanier is a prominent mathematics professor emeritus, currently a researcher at University of California, Irvine. He has received many prestigious honors and awards and has authored or co-authored numerous publications.

Reviews / Votes

From the reviews of the second edition:

"The book is devoted to functions such as quadratic and cubic polynomials, absolute value, square roots, etc. . the Atlas comes with software for computing the functions described in the book. . the Atlas is valuable as a reference, it also contains a large amount of expository text. . The Atlas seems to have been written for the reader who is not in such a hurry and who might enjoy looking around a bit." (John Cook, The Mathematical Association of America, March, 2009)

"This is a compilation of several hundred functions that are frequently used by engineers, scientists, and mathematicians to obtain a quantitative result. . Each chapter in this handbook discusses a function or a family of related functions for a total of 65 chapters. . Each chapter contains definitions and properties for each function along with color graphs . . Engineers, scientists, and mathematicians will find this reference book to be a handy resource for manyyears." (Electrical Insulation Magazine, 2009)

"This book provides elementary and basic information on several hundred functions . . a combination of a book and software is useful for scientists concerned with the quantitative aspects of their field. . layout of the book is modern with very nice colorful graphs or surfaces of functions. Each chapter contains a lot of information about the functions studied in that chapter. . This book defends well its place in the mathematical literature." (Matti Vuorinen, Zentralblatt MATH, Vol. 1167, 2009)

"This is the second edition of a handbook with same title . . There are numerous other improvements throughout this new edition but the objective remains the same to provide the reader regardless of his or her discipline with a succinct compendium of information about all the common mathematical functions in use today. . The layout of the book is excellent and it is a pleasure to see the glossy paper and the very high quality graphs. The inclusion of Equator is a useful contribution." (Mourad E. H. Ismail, Mathematical Reviews, Issue 2010 f)

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Content

General Considerations.- The Constant Function c.- The Factorial Function n!.- The Zeta Numbers and Related Functions.- The Bernoulli Numbers B n .- The Euler Numbers E n .- The Binomial Coefficients .- The Linear Function bx + c and Its Reciprocal.- Modifying Functions.- The Heaviside u(x?a) And Dirac ?(x?a) Functions.- The Integer Powers x n And (bx+c) n .- The Square-Root Function and Its Reciprocal.- The Noninteger Powers x v .- The Semielliptic Function and Its Reciprocal.- The Semihyperbolic Functions And Their Reciprocals.- The Quadratic Function ax 2+bx+c and Its Reciprocal.- The Cubic Function x 3 + ax 2 + bx + c.- Polynomial Functions.- The Pochhammer Polynomials (x) n .- The Bernoulli Polynomials B n (x).- The Euler Polynomials E n (x).- The Legendre Polynomials P n (x).- The Chebyshev Polynomials T n (x) and U n (x).- The Laguerre Polynomials L n (x).- The Hermite Polynomials H n (x).- The Logarithmic Function ln(x).- The Exponential Function exp(±x).- Exponentials of Powers exp(± x v ).- The Hyperbolic Cosine Cosh(x) and Sine Sinh(x) Functions.- The Hyperbolic Secant Sech(x) and Cosecant Csch(x) Functions.- The Hyperbolic Tangent tanh(x) and Cotangent coth(x) Functions.- The Inverse Hyperbolic Functions.- The Cosine cos(x) and Sine sin(x) Functions.- The Secant sec(x) And cosecant csc(x) Functions.- The Tangent tan(x) and Cotangent cot(x) Functions.- The Inverse Circular Functions.- Periodic Functions.- The Exponential Integrals Ei(x) and Ein(x).- Sine and Cosine Integrals.- The Fresnel Integrals C(x) and S(x).- The Error Function erf(x) and Its Complement erfc(x).- The and Related Functions.- Dawson's Integral daw(x).- The Gamma Function ?(v).- The Digamma Function ?(v).- The Incomplete Gamma Functions.- The Parabolic Cylinder Function D v (x).- The Kummer Function M(a,c,x).- The Tricomi Function U(a,c,x).- The Modified Bessel Functions I n (x) of Integer Order.- The Modified Bessel Function I v (x) of Arbitrary Order.- The Macdonald Function K v (x).- The Bessel Functions J n (x) of Integer Order.- The Bessel Function J v (x) of Arbitrary Order.- The Neumann Function Y v (x).- The Kelvin Functions.- The Airy Functions Ai(x) and Bi(x).- The Struve Function h v (x).- The Incomplete Beta Function B(v,?,x).- The Legendre Functions P v (x) and Q v (x).- The Gauss Hypergeometric Function F(a,b,c,x).- The Complete Elliptic Integrals K(k) and E(k).- The Incomplete Elliptic Integrals F(k,?) AND E(k,?).- The Jacobian Elliptic Functions.- The Hurwitz Function ?(v, u).

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