# Электронная книга: Theodore Faticoni G. «Combinatorics. An Introduction»

Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking Combinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems. Detailing how combinatorial problems arise in many areas of pure mathematics, most notably in algebra, probability theory, topology, and geometry, this book provides discussion on logic and paradoxes; sets and set notations; power sets and their cardinality; Venn diagrams; the multiplication principal; and permutations, combinations, and problems combining the multiplication principal. Additional features of this enlightening introduction include: Worked examples, proofs, and exercises in every chapter Detailed explanations of formulas to promote fundamental understanding Promotion of mathematical thinking by examining presented ideas and seeing proofs before reaching conclusions Elementary applications that do not advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations Combinatorics: An Introduction is an excellent book for discrete and finite mathematics courses at the upper-undergraduate level. This book is also ideal for readers who wish to better understand the various applications of elementary combinatorics. Издательство: "John Wiley&Sons Limited"
ISBN: 9781118480298 электронная книга Купить за 6871.83 руб и скачать на Litres |

### Другие книги автора:

Книга | Описание | Год | Цена | Тип книги |
---|---|---|---|---|

The Mathematics of Infinity. A Guide to Great Ideas | Praise for the First Edition«. . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.»—Computing Reviews «. . . a very well written… — John Wiley&Sons Limited, электронная книга Подробнее... | электронная книга | ||

The Mathematics of Infinity. A Guide to Great Ideas | Praise for the First Edition«. . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity.»—Computing Reviews «. . . a very well written… — John Wiley&Sons Limited, электронная книга Подробнее... | электронная книга |

### Look at other dictionaries:

**Combinatorics**— is a branch of mathematics concerning the study of finite or countable discrete structures. Aspects of combinatorics include counting the structures of a given kind and size (enumerative combinatorics), deciding when certain criteria can be met,… … Wikipedia**combinatorics**— /keuhm buy neuh tawr iks, tor , kom beuh /, n. (used with singular v.) See combinatorial analysis. * * * Branch of mathematics concerned with the selection, arrangement, and combination of objects chosen from a finite set. The number of possible… … Universalium**Combinatorics and physics**— Combinatorial physics or physical combinatorics is the area of interaction between physics and combinatorics. Combinatorial Physics is an emerging area which unites combinatorial and discrete mathematical techniques applied to theoretical physics … Wikipedia**Combinatorics and dynamical systems**— The mathematical disciplines of combinatorics and dynamical systems interact in a number of ways. The ergodic theory of dynamical systems has recently been used to prove combinatorial theorems about number theory which has given rise to the field … Wikipedia**Enumerative combinatorics**— is an area of combinatorics that deals with the number of ways that certain patterns can be formed. Two examples of this type of problem are counting combinations and counting permutations. More generally, given an infinite collection of finite… … Wikipedia**Infinitary combinatorics**— In mathematics, infinitary combinatorics, or combinatorial set theory, is an extension of ideas in combinatorics to infinite sets. Some of the things studied include continuous graphs and trees, extensions of Ramsey s theorem, and Martin s axiom … Wikipedia**Partition (number theory)**— Young diagrams associated to the partitions of the positive integers 1 through 8. They are so arranged that images under the reflection about the main diagonal of the square are conjugate partitions. In number theory and combinatorics, a… … Wikipedia**John Riordan**— (1902 ndash; August 28, 1988) was an American mathematician and author of major early works in combinatorics, particularly Introduction to Combinatorial Analysis and Combinatorial Identities . He worked most of his life at Bell Labs, from 1926 (a … Wikipedia**Superpattern**— A k superpattern is a smallest combinatorial pattern that contains all k subpatterns. Definitions A combinatorial pattern is a permutation of numbers from 1 to n, where n is some natural number. n is the length of the combinatorial pattern.A k… … Wikipedia**Graphe de Ferrer**— Partition d un entier Une partition d un entier strictement positif n est une façon d écrire n comme une somme d entiers strictement positifs. Deux sommes qui diffèrent seulement de l ordre de leurs opérandes sont considérées comme étant la même… … Wikipédia en Français**Partage d'un entier**— Partition d un entier Une partition d un entier strictement positif n est une façon d écrire n comme une somme d entiers strictement positifs. Deux sommes qui diffèrent seulement de l ordre de leurs opérandes sont considérées comme étant la même… … Wikipédia en Français