Author: Jacques NeveuPublisher:
ISBN:
Category : Measure theory
Languages : en
Pages : 248
Book Description
Mathematical Foundations of the Calculus of Probability
Author: Jacques NeveuPublisher:
ISBN:
Category : Measure theory
Languages : en
Pages : 248
Book Description
The theory of probability
Author: Hans ReichenbachThe Theory of Probability
Author: Hans ReichenbachPublisher:
ISBN:
Category : Logic, Symbolic and mathematical
Languages : en
Pages : 0
Book Description
The Theory of Probability
Author: Hans ReichenbachPublisher: Univ of California Press
ISBN:
Category :
Languages : en
Pages : 516
Book Description
Mathematical Foundations of Information Theory
Author: Aleksandr I︠A︡kovlevich KhinchinPublisher: Dover Books on Mathematics
ISBN:
Category : Mathematics
Languages : en
Pages : 154
Book Description
One day Tim arrives home to discover that his parents have gone away. He joins a ship as cabin boy and visits many seaside ports in search of them. Only as a result of being shipwrecked is he finally reunited with his parents.
Foundations of Mathematics and Statistics
Author: Timothy C. KearnsPublisher:
ISBN: 9781546277484
Category : Mathematics
Languages : en
Pages : 538
Book Description
Foundations of Mathematics and Statistics is a summary of the basic principles of math and statistics for students that are interested in pursuing studies in the mathematical sciences. The first goal is to provide a good foundation of knowledge and ability with the basics of mathematics. This includes logic, sets, number systems, algebra, geometry, trigonometry, and the calculus. Then the remainder of the book deals with the fundamental topics of applied and mathematical statistics, including probability, random variables, expected value, samples, distributions, hypothesis testing, confidence intervals, and an introduction to linear regression and correlation. The book can be used by all students that need a summary of math fundamentals, with a sound introduction to the basics of statistical thinking and methodology. Those that need a good familiarity with math and statistics would find this book a valuable supplemental reading, along with the fair amount of exercises that are included in order to reinforce the important ideas.
The Foundations of Statistics
Author: Leonard J. SavagePublisher: Courier Corporation
ISBN: 0486137104
Category : Mathematics
Languages : en
Pages : 341
Book Description
Classic analysis of the foundations of statistics and development of personal probability, one of the greatest controversies in modern statistical thought. Revised edition. Calculus, probability, statistics, and Boolean algebra are recommended.
Foundations of Constructive Probability Theory
Author: Yuen-Kwok ChanPublisher: Cambridge University Press
ISBN: 1108875572
Category : Mathematics
Languages : en
Pages : 627
Book Description
Using Bishop's work on constructive analysis as a framework, this monograph gives a systematic, detailed and general constructive theory of probability theory and stochastic processes. It is the first extended account of this theory: almost all of the constructive existence and continuity theorems that permeate the book are original. It also contains results and methods hitherto unknown in the constructive and nonconstructive settings. The text features logic only in the common sense and, beyond a certain mathematical maturity, requires no prior training in either constructive mathematics or probability theory. It will thus be accessible and of interest, both to probabilists interested in the foundations of their speciality and to constructive mathematicians who wish to see Bishop's theory applied to a particular field.
Mathematical Foundation of Quantum Mechanics
Author: K.R. ParthasarathyPublisher: Springer
ISBN: 9386279282
Category : Mathematics
Languages : en
Pages : 175
Book Description
This is a brief introduction to the mathematical foundations of quantum mechanics based on lectures given by the author to Ph.D.students at the Delhi Centre of the Indian Statistical Institute in order to initiate active research in the emerging field of quantum probability. The material in the first chapter is included in the author's book "An Introduction to Quantum Stochastic Calculus" published by Birkhauser Verlag in 1992 and the permission of the publishers to reprint it here is acknowledged. Apart from quantum probability, an understanding of the role of group representations in the development of quantum mechanics is always a fascinating theme for mathematicians. The first chapter deals with the definitions of states, observables and automorphisms of a quantum system through Gleason's theorem, Hahn-Hellinger theorem and Wigner's theorem. Mackey's imprimitivity theorem and the theorem of inducing representations of groups in stages are proved directly for projective unitary antiunitary representations in the second chapter. Based on a discussion of multipliers on locally compact groups in the third chapter all the well-known observables of classical quantum theory like linear momenta, orbital and spin angular momenta, kinetic and potential energies, gauge operators etc., are derived solely from Galilean covariance in the last chapter. A very short account of observables concerning a relativistic free particle is included. In conclusion, the spectral theory of Schrodinger operators of one and two electron atoms is discussed in some detail.
Author: