| GRAPHICAL REPRESENTATION . . |
1 |
|
II. FINITE DIFFERENCES. DEFINITIONS . . |
9 |
|
III. FINITE DIFFERENCES. GENERAL FORMULAS AND SPECIAL CASES . |
13 |
|
IV. FINITE DIFFERENCES. INTERPOLATION . |
19 |
|
V. FINITE DIFFERENCES. CENTRAL DIFFERENCES . |
29 |
|
VI. FINITE DIFFERENCES. INVERSE INTERPOLATION |
40 |
|
VII. FINITE DIFFERENCES. SUMMATION OR INTEGRA TION . |
45 |
| VIII. FINITE DIFFERENCES. DIVIDED DIFFERENCES |
51 |
|
IX. FINITE DIFFERENCES. FUNCTIONS OF TWO VARI ABLES . |
54 |
|
X. DIFFERENTIAL CALCULUS. ELEMENTARY CON CEPTIONS AND DEFINITIONS |
63 |
|
XI. DIFFERENTIAL CALCULUS. STANDARD FORMS. PARTIAL DIFFERENTIATION |
65 |
|
XII. DIFFERENTIAL CALCULUS. SUCCESSIVE DIF FERENTIATION . |
74 |
|
XI II. DIFFERENTIAL CALCULUS. EXPANSIONS. TAYLOR'S AND MACLAURIN'S THEOREMS . |
77 |
|
XIV. DIFFERENTIAL CALCULUS. MISCELLANEOUS AP PLICATIONS |
82 |
|
XV. RELATION OF DIFFERENTIAL CALCULUS TO FINITE DIFFERENCES . |
88 |
|
XVI. INTEGRAL CALCULUS. DEFINITIONS AND ILLUS TRATIONS . |
91 |
|
XVII. INTEGRAL CALCULUS. STANDARD FORMS |
93 |
|
XVIII. INTEGRAL CALCULUS. METHODS OF INTEGRATION |
97 |
|
XIX. INTEGRAL CALCULUS. DEFINITE INTEGRALS. MIS CELLANEOUS APPLICATIONS . |
109 |
|
XX. APPROXIMATE INTEGRATION . . |
114 |
| XXI. PROBABILITY |
125 |
| EXAMPLES . . |
139 |
| ANSWERS TO EXAMPLES . . . |
150 |