AMS Chelsea Publishing 1964; 1212 pp; hardcover Volume: 84 Reprint/Revision History: first AMS printing 1999 ISBN10: 0821819313 ISBN13: 9780821819319 List Price: US$120 Member Price: US$108 Order Code: CHEL/84.H
 In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions. The range of entries in the Subject Index is very wide. To mention a few out of many hundreds: Horner's method, multinomial theorem, mortality table, arithmeticogeometric series, Pellian equation, Bernoulli numbers, irrationality of \(e\), Gudermanian, Euler numbers, continuant, Stirling's theorem, Riemann surface. This volume includes over 2,400 exercises with solutions. Table of Contents Volume I  Fundamental laws and processes of algebra
 MonomialsLaws of indicesDegree
 Theory of quotientsFirst principles of theory of numbers
 Distribution of productsElements of the theory of rational integral functions
 Transformation of the quotient of two integral functions
 Greatest common measure and least common multiple
 Factorisation of integral functions
 Rational fractions
 Further applications to the theory of numbers
 Irrational functions
 Arithmetical theory of surds
 Complex numbers
 Ratio and proportion
 On conditional equations in general
 Variation of a function
 Equations and functions of first degree
 Equations of the second degree
 General theory of integral functions
 Solution of problems by means of equations
 Arithmetic, geometric, and allied series
 Logarithms
 Theory of interest and annuities
 Appendix
 Results of exercises
 Index for parts I and II
Volume II  Permutations and combinations
 General theory of inequalities
 Limits
 Convergence of infinite series and of infinite products
 Binomial and multinomial series for any index
 Exponential and logarithmic series
 Summation of the fundamental powerseries for complex values of the variable
 General theorems regarding the expansion of functions in infinite forms
 Summation and transformation of series in general
 Simple continued fractions
 On recurring continued fractions
 General continued fractions
 General properties of integral numbers
 Probability, or the theory of averages
 Results of exercises
 Index of proper names for parts I and II
 Index for parts I and II
