### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 INTRODUCTION 11 CHAPTER II 27 Numerical Subtraction 40 Zero and the Negative 46 The Absolute Value of Numbers Unlike 53 Formal Rule of DivisionThe Index 61 Third and Fourth Rules of Division 67 Transposition 73
 CHAPTER VI 422 CHAPTER X 451 CHAPTER XI 464 CHAPTER XII 488 CHAPTER XIII 495 SOLUTION OF EQUATIONS OF THE FIRST DEGREE 517 Graph of y42+bx+c byte 521 CHAPTER II 533

 CHAPTER VII 79 CHAPTER VIII 86 To Factor the Sum and Difference of Two Cubes 93 CHAPTER IX 101 CHAPTER X 113 Reduction of Fractions to Lowest Terms 121 Multiplication of Fractions 129 Continued Fractions 136 Problems Solved for Illustration 150 CHAPTER III 175 CHAPTER V 187 Infinite Solutions 193 Independent Equations 199 Distributive and Associative Formulae 200 Elimination by Substitution 207 Elimination by Undetermined Multiplier 218 CHAPTER IX 256 CHAPTER X 268 I am Xaam+n II qmQim III IV V 302 CHAPTER IV 323 Solutions of Inequalities of the First Degree in One Unknown Quantity 330 CHAPTER V 337 Properties of the Series which definery 343 ROOTS OF SURDS 349 a Radical a Surd 355 Division of Surds 363 CHAPTER VII 373 Theorems I II III IV V 388 CHAPTER III 398 Irat 402 FACTORING OF A TRINOMIAL 404
 Sum of the First n Integers 541 Identity The Equation 545 Theorem on Transformation of Equations 569 Proof of the Binomial Theorem for Positive Integral Exponents 586 CHAPTER II 596 CHAPTER III 610 BOOK VII 623 CHAPTER II 630 Harmonic Series 635 General Theorem 642 CHAPTER III 649 Development of Irrational Expressions 655 Convergence of the Binomial Expansion 662 CHAPTER VI 673 Error in the e Series Special Exponential Forms 679 Value of a Calculated by means of Gregorys Series Eulers Series 686 Summation by Undetermined Coefficients 695 Miscellaneous Series 701 Table showing the Region of Convergence of Series 710 CHAPTER I 711 Relation between Determinants of the Second and Third Orders 717 Principle of Addition of Rows or Columns 727 Elimination 733 761 736 Cardans Solution 739 CHAPTER III 745 CHAPTER IV 751 CHAPTER V 757 158 783 пМЕУЛАТИЙэ ДИЙАИЧЛАТА