A Guide to Mathematical Tables. Supplement No. 1 by N. M. Burunova, A. V. Lebedev, R. M. Fedorova PDF

By N. M. Burunova, A. V. Lebedev, R. M. Fedorova

ISBN-10: 0080092446

ISBN-13: 9780080092447

A consultant to Mathematical Tables is a complement to the advisor to Mathematical Tables released by means of the U.S.S.R. Academy of Sciences in 1956. The tables comprise details on matters corresponding to powers, rational and algebraic features, and trigonometric services, in addition to logarithms and polynomials and Legendre services. An index directory all services incorporated in either the advisor and the complement is included.

Comprised of 15 chapters, this complement first describes mathematical tables within the following order: the accuracy of the desk (that is, the variety of decimal areas or major figures); the boundaries of edition of the argument and the period of the desk; and the serial variety of the publication or magazine within the reference fabric. the second one half supplies the writer, name, publishing apartment, and date and position of book for books, and the identify of the magazine, 12 months of e-book, sequence, quantity and quantity, web page and writer and name of the thing brought up for journals. themes diversity from exponential and hyperbolic features to factorials, Euler integrals, and similar services. Sums and amounts on the topic of finite variations also are tabulated.

This ebook could be of curiosity to mathematicians and arithmetic scholars.

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Additional resources for A Guide to Mathematical Tables. Supplement No. 1

Example text

X = 0(0,1)5 [12] oo Rre (a, x) = [ Rr (w) e<*< «"-*> d w = Rrc (a, x) + i Rrs (a, x) 5 dec. x = 0(0,1)5. a = 0,1 it(0,1 it)8it [12) OO Rie (a, #) = ^ Ri (w) e**<*°-°> dw = Ric (a, x) + i Ris (a, x) SB 5 dec. 4; = 0(0,1)5. a = 0,1 IT(0,1 w)8w [121 Rr(">(M) &Ri<")(M) 6 fig. u = 0(0,1)5. n = 0(1)3 [12] Asymptotic formulae Rrc (a, x) = Dh0 (a, x) — x~* Dh4 (a, x) Rrs (a, x) = Th0 (a, x) — x~* Th4 (a, x) Ric (a, x) = x~2 Dh2 (a, x) — x~9 Dh«(a, x) Ris (a, x) = x~2 Tb2 (a, x) — x - 6 Th, (a, x) Dh„(u) &Th«(u) 2-6 dec.

5-6 f i g . 5-6 f i g . 5-6 f i g . 4 dec. 4 dec. 4 fig. x = 0(0,0001)2; 0(0,1)10 a; = 0(0,0001) 0,1 x = 2(0,001) 10 x = 0,1 (0,0005)3,15; 3(0,01)10(0,1)20 x = 0(0,01) 5,99 x = 0(0,01) 1(0,05) 4 (0,1) 5 (0,2) 6 (1)10 x = 0(0,001) 1 (0,01)5,99 x = 0(0,01) 1,6(0,1)6,3; 7(1)10 a; = 0(0,01)l,5 x = 0(0,01) 10,09 [29} [8] [12] [8] [26} [25] [11 [9] [17] [3] 15 f i g . x = 0(0,1) 10 [141 7 dec. x = 0(0,01)2 [8] ch2noc 5 fig. a; = 0(0,001)1 ch 7 dec. x = 0(1) 180 [15] T§o [8] Hyperbolic functions 23 Hyperbolic tangent tha; 20 d e c .

X = 0,001 (0,001) 0,999 * log*-^ - "M 1— *> 6 dec. x = 0,001 (0,001) 0,999 [2] lo &r=X [2] Chapter 5 FACTORIALS, EULER INTEGRALS AND RELATED FUNCTIONS* n! exact exact exact exact exact 20 f i g . 16 f i g . 6 fig. 5 fig. 5 fig. n= n= n= n= 996; 1000 1(1)25 1(1)20 1(1)15 71 = 1 ( 1 ) 1 0 n= n= n= n= n= l(l)1000 1(1)1000 1(1)250 1(1)15 1(1)100 [39] [25] 13] [8] [38] [10] [23] [36] [15] [16] [13] [12] [3] 1 20 f i g . 15 f i g . 7—10 d e c . 8 dec. 6 fig. 5 fig. n = 1(1) 1000 71 = 71 = 71 = 71 = 71 = 1(1)15 1(1)10 1(1)10 1(1)100 1(1)20 l/~2 [15] [10] [23] [36] [13] [3] (n+m)l V 2 » + l (♦»—»»)!

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A Guide to Mathematical Tables. Supplement No. 1 by N. M. Burunova, A. V. Lebedev, R. M. Fedorova


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