## Mathematical Preparation for Physical ChemistryLarge and small numbers. Logarithms. The slide rule. Graphical representation of equations. Graphs of equations of the second degree. Graphs of logarithmic and trigonometrical functions. Differential calculus. Differentiation. Graphs and calculus. The differential. Integral calculus. The significance of "e". Differentiation and integration of trigonometrical functions. Integration. The use of integration tebles. Geometrical application of integral calculus. Partial differentiation. Differential equations. Infinitive series. Probability. Graphical methods in physical chemistry. |

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abscissa absolute temperature algebraic angle antilog applied atoms Ax approaches zero ax² axis Ay/Ax calculated cent chemical circle constant coordinates corresponding cosine curve cx² derivative determined differential calculus differential equation divided dx dx dx dy dy dx dy/dx equal Euler's criterion evaluated example experimental exponent expression following equation formula fraction function give given gram molecule graph graphical heat hyperbola increase integration intersection large number loga logarithms loge loge x mantissa mathematical maximum measurements method minimum molecules multiplied negative numerical value obtained ordinate parabola physical chemistry plotted probable error problem radians radius reaction rectangles rules for differentiation scale shown in Fig Simpson's rule sine slide rule slope solved square root straight line substituting subtracting tables tangent theorem tion triangle trigonometrical vapor pressure velocity volume ди მყ

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Page 34 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.

Page 80 - The derivative of the quotient of two functions is equal to the denominator times the derivative of the numerator minus the numerator times the derivative of the denominator, all divided by the square of the denominator.

Page 91 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.

Page 77 - The derivative of the product of two functions is the first times the derivative of the second plus the second times the derivative of the first.

Page ii - ANALYSIS Williams and Homerberg — PRINCIPLES OF METALLOGRAPHY Woodman — FOOD ANALYSIS .—• The late Dr. HP Talbot was Consulting Editor of the International Chemical Series from its inception in 1911 until his death in 1927. THE COLLOIDAL SALTS BY HARRY BOYER WEISER Professor of Chemistry at The Rice Institute Author of "The Hydrous Oxides" FIRST EDITION McGRAW-HILL BOOK COMPANY, INC.

Page 211 - To find the number of permutations of n different things taken r at a time.

Page 21 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.

Page 289 - In these formulae x and X represent variables, and all other letters represent constants. All angles are assumed to be in radians; and the base of logarithms is e unless otherwise indicated. An arbitrary constant may be added to the right-hand side of each formula. Rational Algebraic Integrals 1.

Page 68 - ... the logarithm of the vapor pressure against the reciprocal of the absolute temperature.