The Principles of Elementary Algebra |
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... symbols , of which the manipulation is largely a matter of mechanical method and of the observance of certain rules of operation . The results arrived at have little interest and no special meaning until they are interpreted . This ...
... symbols , of which the manipulation is largely a matter of mechanical method and of the observance of certain rules of operation . The results arrived at have little interest and no special meaning until they are interpreted . This ...
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... symbolism of Algebra and the fundamental ideas of Geometry are discussed at some length . The Graph is freely ... SYMBOLS , DEFINITIONS , AND PREFACE .
... symbolism of Algebra and the fundamental ideas of Geometry are discussed at some length . The Graph is freely ... SYMBOLS , DEFINITIONS , AND PREFACE .
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... AND EXPONENTIALS . 255 XVIII . SERIES AND INTERPOLATION .... 274 XIX . ELEMENTARY DETERMINANTS .. 296 For a more detailed statement consult the Index at the end of the book . CHAPTER I. SYMBOLS , DEFINITIONS , AND FORMAL LAWS . vii.
... AND EXPONENTIALS . 255 XVIII . SERIES AND INTERPOLATION .... 274 XIX . ELEMENTARY DETERMINANTS .. 296 For a more detailed statement consult the Index at the end of the book . CHAPTER I. SYMBOLS , DEFINITIONS , AND FORMAL LAWS . vii.
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Nathan Fellowes Dupuis. CHAPTER I. SYMBOLS , DEFINITIONS , AND FORMAL LAWS . Pure arithmetic 1. Arithmetic is pure or concrete . deals with abstract number or numerical quantity . Con- crete arithmetic has relation to numbers of concrete ...
Nathan Fellowes Dupuis. CHAPTER I. SYMBOLS , DEFINITIONS , AND FORMAL LAWS . Pure arithmetic 1. Arithmetic is pure or concrete . deals with abstract number or numerical quantity . Con- crete arithmetic has relation to numbers of concrete ...
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... symbols , which represent numerical quantities , and ( 2 ) Operative symbols , which indicate operations to be performed upon the quantity denoted by the quantita- tive symbol . A third class , called verbal symbols , may be enumerated ...
... symbols , which represent numerical quantities , and ( 2 ) Operative symbols , which indicate operations to be performed upon the quantity denoted by the quantita- tive symbol . A third class , called verbal symbols , may be enumerated ...
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Common terms and phrases
a₁ ab² arithmetic ax² b₁ becomes binomial binomial theorem c₁ coefficients complete square continued fraction convergent cube root decimal denominator denote diagonal difference dimensions Divide divisor elementary algebra equal equate coefficients equation EXERCISE expansion expression find the L. C. M. find the nth Find the value finite geometric geometric series given gives graph Hence imaginary independent term integer integral function inversions letters linear factors logarithms mantissa matrix miles monomial Multiply negative nth root nth term number of terms numerical quantity operation permutations positive integers proper fraction quadratic quantitative symbol R₁ rationalizing factor recurring series relation remainder result sides signs Similarly solution square root substituting subtract suffixes surd theorem tion triangle U₂ variable Whence zero
Popular passages
Page 90 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.
Page 254 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Page 336 - ... University of Ohio, of Pennsylvania, of Michigan, of Wisconsin, of Kansas, of California, of Missouri, Stanford University, etc., etc. "Those acquainted with Mr. Smith's text-books on conic sections and solid geometry will form a high expectation of this work, and we do not think they will be disappointed. Its style is clear and neat, it gives alternative proofs of most of the fundamental theorems, and abounds in practical hints, among which we may notice those on the resolution of expressions...
Page 254 - ... that the logarithm of the product of two numbers is the sum of the logarithms of the numbers.
Page 74 - Multiply together the numerators for a new numerator, and the denominators for a new denominator.