Introduction to Probability Theory: A First Course on the Measure-theoretic Approach

Moshayedi, Nima

ISBN 10: 9811246742 / ISBN 13: 9789811246746

Verlag: World Scientific Pub Co Inc, 2022

Beschreibung

175 pages. 9.00x6.00x0.85 inches. In Stock. This item is printed on demand.

Bestandsnummer des Verkäufers __9811246742

Bibliografische Details

• Titel: Introduction to Probability Theory: A First Course on the Measure-theoretic Approach
• Verlag: World Scientific Pub Co Inc
• Erscheinungsjahr: 2022
• Sprache: Englisch
• ISBN-10: 9811246742
• ISBN-13: 9789811246746
• Einband: Hardcover
• Zustand: Brand New

Über diesen Titel

Inhaltsangabe

This book provides a first introduction to the methods of probability theory by using the modern and rigorous techniques of measure theory and functional analysis. It is geared for undergraduate students, mainly in mathematics and physics majors, but also for students from other subject areas such as economics, finance and engineering. It is an invaluable source, either for a parallel use to a related lecture or for its own purpose of learning it. The first part of the book gives a basic introduction to probability theory. It explains the notions of random events and random variables, probability measures, expectation values, distributions, characteristic functions, independence of random variables, as well as different types of convergence and limit theorems. The first part contains two chapters. The first chapter presents combinatorial aspects of probability theory, and the second chapter delves into the actual introduction to probability theory, which contains the modern probability language. The second part is devoted to some more sophisticated methods such as conditional expectations, martingales and Markov chains. These notions will be fairly accessible after reading the first part.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.