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

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

A advisor to Mathematical Tables is a complement to the consultant to Mathematical Tables released by way of the U.S.S.R. Academy of Sciences in 1956. The tables include details on matters resembling powers, rational and algebraic services, and trigonometric features, in addition to logarithms and polynomials and Legendre features. An index directory all features integrated in either the consultant 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 e-book or magazine within the reference fabric. the second one half supplies the writer, name, publishing residence, and date and position of book for books, and the identify of the magazine, 12 months of ebook, sequence, quantity and quantity, web page and writer and identify of the item pointed out for journals. themes diversity from exponential and hyperbolic capabilities to factorials, Euler integrals, and similar capabilities. Sums and amounts concerning finite ameliorations also are tabulated.

This booklet might be of curiosity to mathematicians and arithmetic scholars.

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8 x = 0(0,01) 1,5 [17} 2(cha? —1) a? 2 4 dec. 0(0,01)1,5 x = 0(0,01) 1,5 12Ssha; sh & a;8 4 dec. [171 a; -- 1 ) 24 (ch a; a;4 a: = 0(0,01) 1,5 [171 24 Ch. 3. Exponential & hyperbolic functions EXPRESSIONS CONTAINING TRIGONOMETRIC AND HYPERBOLIC FUNCTIONS JP1= ch (a tg -^ j cos a 4—5 d e c . a = 0(0,1)4. p = 0°(10°)90° [23] 1\ = sh (ct tg -£ J sin a 4—5 d e c . a = 0(0,1)4. j3 = 0° (10°) 90° [23] F3= sh f a tg Y ) cos a 4—5 d e c . a = 0(0,1)4. p = 0°(10°)90° [23] Ft = ch fa tg -S-J sin a 4—5 d e c .

A = 0(0,1)4. 2*3 = FiF\ + F2F2& 5-6 f i g . a = 0(0,1)4. F32+Ft2 p = 0°(10°)90° fig. a = 0(0,1)4. ", d e c . *± p = 0°(10°)90° [23] FtF3 p = 0°(10°)90° *± £*_ », £j_ fj. a = 0(0,1)4. [23] B3 = F3F3 + FiF\ B4 = FXF\ - F2F[ & V*4 = F3F\ 5-6 [23] [23] ZiZi p = 0D(10°)90° [23] Inverse hyperbolic functions 25 INVERSE HYPERBOLIC FUNCTIONS Arshae 9 dec. 7 dec. 3 = 0(0,0001)0,1 ^ = 0,1(0,0005)3,15; 3(0,01)10(0,1) 20(1)100 Ar sh \rx 3 dec. a: = 0(0,01)1 Ar sh 3 dec. [8] [8] ~ [7] Vmc 3 = 0(0,01)1 [7] Arshl/lOOas 3 dec.

X = 0»(l")60"; 0°(1')90° [10] 5 dec. x = 0°(l')90° [29] Argument in grads 5 dec. 4. 28 Logarithms NATURAL LOGARITHMS* Logarithms of integers, incc 08 28 15 7 5 5 5 4 dec. dec. dec. dec. dec. dec. dec. fig. 35=1(1)20 x = 1(1)10 x = 1(1)160 x = 1(1)100 x= 1(1)999 x = 10 (1)1009 x = 10(1) 1109 x = 10". n = 1(1)10 [16] [33] [27] [7] [28] [10] [1] [3] Logarithms of decimal fractions 16 d e c . 16 d e c . 16 d e c . 10 d e c . 9 dec. 7 dec. 5 dec. 5 dec. 5 dec. 4—7 d e c . 4 fig. 4 dec. 4 dec. 4 dec.

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