Download A Guide Book to Mathematics: Fundamental Formulas · Tables · by I. N. Bronshtein, K. A. Semendyayev (auth.) PDF

By I. N. Bronshtein, K. A. Semendyayev (auth.)

TO the 1st RUSSIAN version It used to be a really tricky activity to put in writing a guide-book of a small measurement designed to comprise the basic wisdom of mathema­ tics that is most crucial to engineers and scholars of upper technical faculties. In our tendency to the compactness and brevity of the exposition, we tried, despite the fact that, to supply a guide-book which might be effortless to appreciate, handy to exploit and as actual as attainable (as a lot because it is needed in engineering). it may be mentioned that this publication is neither a instruction manual nor a compendium, yet a guide-book. as a result it's not written as systematically as a guide could be written. accordingly the reader shouldn't be stunned to discover, for instance, I'HOpital's rule within the part dedicated to computation of limits that's part of the bankruptcy "Introduction to the research" positioned ahead of the concept that of the spinoff, or information regarding the Gamma functionality within the bankruptcy "Algebra"-just after the concept that of the factorial. there are numerous such "imperfections" within the publication. hence a reader who desires to collect convinced info is suggested to take advantage of not just the desk of contents but additionally the alpha­ betical index inserted on the finish of the publication. If an issue pointed out within the textual content is defined intimately in one other position of the booklet, then the corresponding web page is indicated in a footnote.

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TABLES ... 80 I 41 2. 722 8.. 726 I 42 I. 29 ~ I I I 43 2. 000 44 I. TABLES 3. Powers of integers from n= 1 to n = 100 n I n" I n" I n" I n" 1 1 2 3 4 1 4 9 16 1 8 27 64 1 16 81 256 243 1024 I; 25 36 49 64 81 125 216 343 512 729 625 1296 2401 4096 6561 3125 7776 16807 32768 59049 12 13 14 100 121 144 169 196 1000 1331 1729 2197 2744 10000 14641 20 736 28 561 38416 100000 161051 248 832 371293 537824 15 16 17 18 19 225 256 289 324 361 3375 4096 4913 5832 6859 50625 65536 83521 104976 130321 759375 1048576 1419857 1889568 2476099 ao 23 24 400 441 484 529 576 8000 9261 10648 12167 13824 160 000 194481 234256 279841 331776 3200000 4084101 5153632 6436343 7962624 15 26 27 28 29 625 676 729 784 841 15625 17576 19683 21952 24389 390625 456976 531441 614656 707281 9765625 11881376 14348 907 17210368 20511149 900 6 7 8 9 10 11 21 22 so 32 31 32 33 34 961 1024 1089 1156 27000 29791 32768 35937 39304 810000 923 521 1048576 1185921 1336336 24300000 28 629151 33554432 39135393 45435424 85 1225 1296 1369 1444 1521 42875 46656 50653 54872 59319 1500625 1679616 1874161 2085136 2313441 52521875 60466176 69343 957 79235168 90224199 36 37 38 39 45 3.

Cotangents 10. 6 (the argument is given in radian measure). 6-by using the table of multiples of in- and n-. Examples. 9380 (linear interpolation). 6637 (linear interpolation). 0200. 1008 62 I. 5463 I 0. 5334 1 10. EXPONENTIAL. HYPERBOLIC.

The interpolation correction should be determined only for the fourth significant figure; determining a correction for the fifth significant figure has a sense only when the first figure is I or 2. 1048). 51 7. 11072 1367 1399 1673 I 1703 2672 2900 1931 2201 2455 2695 2923 1959 2227 2480 2014 2279 2529 2il8 I 2742 ; 2765 2945 2967 , 29R9 I 1987 2330 2577 2810 2355 2601 2833 3032 3243 3444 3636 3820 3054 3263 3464 3655 3838 3075 3284 3483 3674 3856 3096 3304 3502 3692 3874 3118 3324 3522 3711 3892 3139 3345 3541 3729 3909 3160 3181 3365 .

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