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Elementary probability theory with Stochastic processes

In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's classic treatise (see [Feller l]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different levels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore level. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus.

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  • "With stochastic processes and an introduction to mathematical finance"
  • "Elementary probability theory"
  • "Chu deng gai lü lun"
  • "Elementary probability theory with stochastic processes"
  • "初等概率论"

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  • "Aus den Besprechungen: "Unter den zahlreichen Einführungen in die Wahrscheinlichkeitsrechnung bildet dieses Buch eine erfreuliche Ausnahme. Der Stil einer lebendigen Vorlesung ist über Niederschrift und Übersetzung hinweg erhalten geblieben. In jedes Kapitel wird sehr anschaulich eingeführt. Sinn und Nützlichkeit der mathematischen Formulierungen werden den Lesern nahegebracht. Die wichtigsten Zusammenhänge sind als mathematische Sätze klar formuliert." #FREQUENZ#1"
  • "In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a centrat role in the mathematization of various applied sciences such as statistics, Opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's dassie treatise (see [Feiler I]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different Ievels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore Ievel. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus."
  • "Set; Probability; Couting; Random variables; Conditioning and independence; Mean, variance and transforms; Poisson and normal distribution; From Random walks to markov chains."
  • "In the past half-century the theory of probability has grown from a minor isolated theme into a broad and intensive discipline interacting with many other branches of mathematics. At the same time it is playing a central role in the mathematization of various applied sciences such as statistics, opera tions research, biology, economics and psychology-to name a few to which the prefix "mathematical" has so far been firmly attached. The coming-of-age of probability has been reflected in the change of contents of textbooks on the subject. In the old days most of these books showed a visible split personality torn between the combinatorial games of chance and the so-called "theory of errors" centering in the normal distribution. This period ended with the appearance of Feller's classic treatise (see [Feller l]t) in 1950, from the manuscript of which I gave my first substantial course in probability. With the passage of time probability theory and its applications have won a place in the college curriculum as a mathematical discipline essential to many fields of study. The elements of the theory are now given at different levels, sometimes even before calculus. The present textbook is intended for a course at about the sophomore level. It presupposes no prior acquaintance with the subject and the first three chapters can be read largely without the benefit of calculus."@en
  • "A new feature of this edition consists of photogra phs of eight masters in the contemporary development of probability theory. All of them appear in the body of the book, though the few references there merely serve to give a glimpse of their manifold contributions. It is hoped that these vivid pictures will inspire in the reader a feeling that our science is a live endeavor created and pursued by real personalities. I have had the privilege of meeting and knowing most of them after studying their works and now take pleasure in introducing them to a younger generation. In collecting the photographs I had the kind assistance of Drs Marie-Helene Schwartz, Joanne Elliot, Milo Keynes and Yu. A. Rozanov, to whom warm thanks are due. A German edition of the book has just been published. I am most grateful to Dr. Herbert Vogt for his careful translation which resulted also in a consid erable number of improvements on the text of this edition. Other readers who were kind enough to send their comments include Marvin Greenberg, Louise Hay, Nora Holmquist, H. -E. Lahmann, and Fred Wolock. Springer-Verlag is to be complimented once again for its willingness to make its books "immer besser. " K. L. C. September 19, 1978 Preface to the Second Edition A determined effort was made to correct the errors in the first edition. This task was assisted by: Chao Hung-po, J. L. Doob, R. M. Exner, W. H."

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  • "Electronic books"@en
  • "Electronic books"
  • "Einführung"
  • "Lehrbuch"

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  • "ELementary probability theory with stochastic processes"
  • "Elementare Wahrscheinlichkeitstheorie und stochastische Prozesse"
  • "Chu deng gai lu lun fu sui ji guo cheng"
  • "Elementary probability theory with Stochastic processes"@en
  • "Elementary probability theory : with stochastic processes and an introduction to mathematical finance"@en
  • "Elementary probability theory with stochastic processes and an introduction to mathematical finance"
  • "Elementary probability theory with stochastic processes and an introduction to mathematical finance"@en
  • "Elementary probability theory : with stochastic processes and an introduction to mathematical finance"
  • "Elementary Probability Theory With Stochastic Processes and an Introduction to Mathematical Finance"
  • "Chu deng gai lü lun fu sui ji guo cheng"
  • "初等概率论附随机过程"
  • "Elementare Wahrscheinlichkeits-theorie und stochastische Prozesse"
  • "Elementary Probability Theory with Stochastic Processes"
  • "Elementare Warscheinlichkeitstheorie und stochastische Prozesse"
  • "Elementary probability theory with stochastic processes"@en
  • "Elementary probability theory with stochastic processes"

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