An Introduction to Combinatorial Analysis (eBook)

John Riordan (Autor)

eBook Download: PDF

2014
258 Seiten
Princeton University Press (Verlag)
978-1-4008-5433-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik
• Schlagworte: Abdomen • Addition • Adhesive • Allegory (category theory) • Analogy • Anna Akhmatova • asymptotic analysis • Auxiliary polynomial • Bell polynomials • Bernoulli number • Binomial coefficient • Binomial Theorem • Borel summation • Boundary value problem • Calculation • centroid • Change of variables • Characterization (mathematics) • Chebyshev Polynomials • coagulation • coefficient • combination • combinatorial proof • combinatorics • commutative property • Computation • conjugacy class • Connectivity (graph theory) • connotation • copulation • Cumulant • Cycle index • Cyclic group • cyclic permutation • Derivative • Determinant • Diagram (category theory) • Differential Calculus • directed graph • dissociation of sensibility • Distribution (mathematics) • Divergent series • Divisor • Divisor (algebraic geometry) • Elaboration • Elegiac • Emergence • Enumeration • Enumerator (computer science) • Equating coefficients • Equation • Euler integral • Euler's identity • Euler's totient function • exemplification • Explicit formula • Explicit formulae (L-function) • exponential function • factorial • Factorial moment • Factorial moment generating function • Fertilisation • Floor and ceiling functions • Function composition • Function (mathematics) • gamma function • Generating function • Gesture • G factor (psychometrics) • group theory • Hermite Polynomials • Hypotenuse • Imagery • Inclusion–exclusion principle • Inequality (mathematics) • Instance (computer science) • Join point • Kronecker delta • Lah number • Laplace transform • latin square • Legendre Polynomials • Main diagonal • Mathematical Induction • Mathematical maturity • Mathematics • Matrix (mathematics) • Metaphor • Michel Foucault • Moment-generating function • Monomial • multinomial theorem • Naturphilosophie • Notation • Number Theory • Occupancy • Parameter (computer programming) • Parity (mathematics) • partial derivative • Partial fraction decomposition • Permutation • Philosophy • Poincaré conjecture • polynomial • Posture (psychology) • power series • prime factor • Probability • Probability Distribution • Probability-generating function • Probability Theory • rectangle • Recurrence relation • Renaissance humanism • Reputation • result • Riemann–Stieltjes integral • Right angle • Rook polynomial • Rule of product • Rule of sum • Sampling (Statistics) • SCHOLASTICISM • scientific notation • Sequence • Series expansion • sex organ • Simultaneous Equations • Special case • step function • Stirling numbers of the second kind • SUBGROUP • Summation • symmetric function • Tautology (logic) • Textbook • Theorem • theory • Tree (graph theory) • Trigonometric Functions • TypeScript • underscore • Variable (computer science) • Variable (mathematics) • Verb • What Is an Author?
• ISBN-10: 1-4008-5433-4 / 1400854334
• ISBN-13: 978-1-4008-5433-2 / 9781400854332