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An Introduction to Combinatorial Analysis

John Riordan

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Mathematik

Beschreibung

This book introduces combinatorial analysis to the beginning student. The author begins with the theory of permutation and combinations and their applications to generating functions. In subsequent chapters, he presents Bell polynomials; the principle of inclusion and exclusion; the enumeration of permutations in cyclic representation; the theory of distributions; partitions, compositions, trees and linear graphs; and the enumeration of restricted permutations.

Originally published in 1980.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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Schlagwörter

Characterization (mathematics), Computation, Verb, G factor (psychometrics), Enumeration, Partial derivative, Elegiac, Imagery, Notation, Permutation, Change of variables, Euler's totient function, Enumerator (computer science), Sex organ, Probability, Tree (graph theory), TypeScript, Polynomial, Group theory, Mathematical induction, Theorem, Copulation, Naturphilosophie, Factorial moment generating function, Recurrence relation, Connectivity (graph theory), Parity (mathematics), Cycle index, Determinant, Exemplification, Result, Number theory, Analogy, Equation, Inclusion–exclusion principle, Distribution (mathematics), Inequality (mathematics), Laplace transform, Fertilisation, Directed graph, Gesture, Combinatorial proof, Join point, Occupancy, Scientific notation, Underscore, Generating function, Scholasticism, Trigonometric functions, Centroid, Summation, Function (mathematics), Explicit formulae (L-function), Renaissance humanism, Combination, Main diagonal, Posture (psychology), Rook polynomial, Allegory (category theory), Coefficient, Factorial moment, Instance (computer science), Variable (mathematics), Hypotenuse, Dissociation of sensibility, Philosophy, Connotation, Divisor (algebraic geometry), Riemann–Stieltjes integral, Theory