Электронная библиотека Попечительского советамеханико-математического факультета Московского государственного университета
 Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум
 Авторизация Поиск по указателям
Gordon H. — Discrete Probability
 Обсудите книгу на научном форуме Нашли опечатку?Выделите ее мышкой и нажмите Ctrl+Enter Название: Discrete Probability Автор: Gordon H. Аннотация: DISCRETE PROBABILITY is a textbook, at a post-calculus level, for a first course in probability. Since continuous probability is not treated, discrete probability can be covered in greater depth. The result is a book of special interest to students majoring in computer science as well as those majoring in mathematics. Since calculus is used only occasionally, students who have forgotten calculus can nevertheless easily understand the book. The slow, gentle style and clear exposition will appeal to students. Basic concepts such as counting, independence, conditional probability, randon variables, approximation of probabilities, generating functions, random walks and Markov chains are presented with good explanation and many worked exercises. An important feature of the book is the abundance of problems, which students may use to master the material. The 1,196 numerical answers to the 405 exercises, many with multiple parts, are included at the end of the book. Throughout the book, various comments on the history of the study of probability are inserted. Biographical information about some of the famous contributors to probability such as Fermat, Pascal, the Bernoullis, DeMoivre, Bayes, Laplace, Poisson, Markov, and many others, is presented. This volume will appeal to a wide range of readers and should be useful in the undergraduate programs at many colleges and universities. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1997 Количество страниц: 284 Добавлена в каталог: 12.09.2007 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
Предметный указатель
 6       6       212       212       236       213       223       188 206       198       4 Absorbing      215 Average value      78 backslash      6 Bar over letter      6 Bayes's formula      62 Bayes, Thomas      62 64 65 Berkeley, George      65 Bernoulli distribution      101—102 170 Bernoulli family      184 Bernoulli trials      47 48 Bernoulli's Law of Large Numbers      115 138 149 212 Bernoulli's theorem      115 119 120 149 Bernoulli, Daniel      117 Bernoulli, Jakob      48 115—117 119 149 150 195 Bernoulli, Johann      116 117 137 194 195 Bernoulli, Nikolaus      117 195 Bienayme, Irene — Jules      112 Binomial coefficients      28 Binomial distribution      49 101 102 131 170 181 Binomial theorem      28 Bonaparte, Napoleon      67 Catalan numbers      (see w_{1}\$"/>) Central limit theorems      149 Characteristic function      128 Chebyshev inequality      112—115 120 121 136 162 Chebyshev, Pafnuty Lvovich      112 119 120 211 Conditional expectation      123 Conditional probability      56 Consecutive successes      228 229 Cotes, Roger      149 D'Alembert, Jean      67 DeMoivre's theorem      149 150 DeMoivre, Abraham      57 116 138 144 149—151 156 160 166 202 DeMorgan, Augustus      7 Derangements      174 Descartes, Rene      13 14 Discrete      5 distribution      101 Doe, John      43 Duration of play      199—207 E(X | A)      123 E(X)      78 95 Elementary      7 Even and odd      (see Parity) Event      4 Expectation      79 Expected value      78 95 Fair game      81 Fermat, Pierre de      11—14 56 78 184 Fixed probability vector      238 Gamblers' Ruin      194 Generating function      165—181 Geometric distribution      101 102 167 181 Gorky, Maxim      211 Hailey, Edmund      150 151 Hsien, Chia      30 Huygens, Christiaan      11 14 78 79 194 Hypergeo me trie distribution      132 Independent      42 44 91 Indicator      128 Insurance      120 l'Hospital's rule      137 l'Hospital, G.F.A. de      137 Lagrange, Joseph — Louis      138 Laplace, Pierre Simon      40 65 66 138 149 166 Law of Large Numbers      115 119—122 138 Law of small numbers      (see Poisson distribution) Leibniz, Gottfried      11 117 151 Maclaurin series      166 Maclaurin, Colin      165 Markov chains      209—249 Markov property      210 Markov, Andrey Andreyevich      211 Mean value      78 Mode of binomial distribution      49—51 Mode of Pascal distribution      50 Mode of Poisson distribution      136—142 Montmort, Pierre Remond, de      116 149 150 174 183—185 194 Mortality table      150 Most probable value      (see Mode) Multinomial coefficients      28 Multinomial theorem      28 Mutually exclusive      7 9 Negative binomial distribution      (see Pascal distribution) Newton, Isaac      2 51 145 150 151 184 Normal approximation      149 Normal distribution      149 Odd and even      (see Parity) P(A | B)      56 P(A)      7 Parity      40 51 180 181 Partition      61 Pascal distribution      50 101 102 170 181 Pascal's triangle      30 Pascal, Blaise      11 12 14 30 56 78 184 Pascal, Etienne      13 Pepys, Samuel      2 51 Poisson approximation      138 Poisson distribution      140 168 178 181 Poisson, Simeon Denis      138 Pope, Alexander      151 Probability vector      238 Random variable      76 Random walks      183—207 Recurrent      214 Rencontre      174 Richelieu, Cardinal      13 Riemann, Bernhard      160 Roberval, Gilles Personne de      11—14 Runs of successes      (see Successes Consecutive) Sample space      4 Shakespeare, William      142 Standard deviation      85 Stirling's formula      144 STIRLING, JAMES      144 145 156 Transient      214 Transition matrix      212 Transition probabilities      212 Var(x)      34 Variance      84 96 With replacement      19 Without replacement      19 Xian, Jia      30
Реклама
 © Электронная библиотека попечительского совета мехмата МГУ, 2004-2021 | | О проекте