Download 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 include details on matters resembling powers, rational and algebraic services, and trigonometric capabilities, in addition to logarithms and polynomials and Legendre services. An index directory all capabilities 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 publication or magazine within the reference fabric. the second one half offers the writer, name, publishing residence, and date and position of e-book for books, and the identify of the magazine, 12 months of ebook, sequence, quantity and quantity, web page and writer and name of the item mentioned for journals. issues diversity from exponential and hyperbolic services to factorials, Euler integrals, and comparable features. Sums and amounts relating to finite alterations also are tabulated.

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

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Extra info for A Guide to Mathematical Tables. Supplement No. 1

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Variable) 0,5 [9} 2TC Values of the ordinate oo 1 (* —t* o~ 1 Argument ^ (1 — O (x)) = - = ^ e d« 5 dec. i(l-(D) = 0(0,001)0,5 [24] PROBABILITY INTEGRALS OP COMPLEX ARGUMENT * \ e»* dx = u (p, 6) + iv (p, 6) o 5 dec. p = 0( v a r . ) *. &=3; 4; 5. 6 = 45° ( v a r i a b l e from 0°,3125to 5°) 90° [30] L oo 1 + 2iz 2 er* \ e-t%dt = u+iv -iVT 3 dec. w h e r e z = x -f iy. x9 — y = 0( *) 10; 0(0,05)0,5; 0(0,1)2 [21] Presnel integrals & related functions 49 "—• —i-*w»? irca*,. —-^i*«' — int* / 4 dec.

3 = 0(0,01)10 )2 [25] [25] T[+(T(« + 1 ) ) - * ( T « ) ] 7 dec. s = 0 ( v a r . )2 5—6 f i g . 3 = 0(0,01)10 [25] [25J RefT v(to)-Re ^f ' r- (i£ +#too) 10 d e c . 3=0(0,005)2(0,01)6(0,02)10 (0,1)20(0,2)60(0,5)110 [21] 6 dec. 3=0(0,01)0,5(0,02)2(0,05)2,5 [17] 6 dec. 3 = 1(1)10 [25} The beta function 37 THE BETA FUNCTION 1 B (p, q) = \ ocp~l (1 — o 5-6 dec. xy~xdx p = 0(I)2(l)5. g=0(l)2(ij5 The i n c o m p l e t e b e t a [25] function where B*(/>,9) = ^p-*(l — ty-Ht. 0 7 dec. /> = l ( l ) . . u p t o v a l u e s f o r which /*<10-*.

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 (♦»—»»)! 5 fig. 771 = 1 ( 1 ) 1 2 . 71 = 771(1)20 [37] *See pages 155 and 186 for references to Chapter 5. 33 Factorials L o g a r i t h m s of factorials lgn/ 15 d e c . 10 d e c . 8-10 f i g . 5 dec. 5 dec. 4 dec. 4 dec. 4 dec. n= n= n= n= n= »= n= n= 1(1)15 1(1)1199 1(1)1000 1(1)100 1(1)250 1(1)1000 1 (1) 300 1(1)1000 [101 [35] [13] [3] [8] [6] [9] [5] Double f a c t o r i a l s (2*t—1)!!

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