Book Description
This book provides a systematic and general theory of probability within the framework of constructive mathematics.
Author : Yuen-Kwok Chan
Publisher : Cambridge University Press
Page : 627 pages
File Size : 12,24 MB
Release : 2021-05-27
Category : Mathematics
ISBN : 1108835430
This book provides a systematic and general theory of probability within the framework of constructive mathematics.
Author : Douglas Bridges
Publisher : Cambridge University Press
Page : 863 pages
File Size : 32,58 MB
Release : 2023-03-31
Category : Mathematics
ISBN : 1316510867
Gives a complete overview of modern constructive mathematics and its applications through surveys by leading experts.
Author : Rick Durrett
Publisher : Cambridge University Press
Page : pages
File Size : 48,95 MB
Release : 2010-08-30
Category : Mathematics
ISBN : 113949113X
This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.
Author : Edward Nelson
Publisher : Princeton University Press
Page : 112 pages
File Size : 39,92 MB
Release : 1987
Category : Mathematics
ISBN : 9780691084749
Using only the very elementary framework of finite probability spaces, this book treats a number of topics in the modern theory of stochastic processes. This is made possible by using a small amount of Abraham Robinson's nonstandard analysis and not attempting to convert the results into conventional form.
Author : E. Bishop
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 11,41 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642616674
This work grew out of Errett Bishop's fundamental treatise 'Founda tions of Constructive Analysis' (FCA), which appeared in 1967 and which contained the bountiful harvest of a remarkably short period of research by its author. Truly, FCA was an exceptional book, not only because of the quantity of original material it contained, but also as a demonstration of the practicability of a program which most ma thematicians believed impossible to carry out. Errett's book went out of print shortly after its publication, and no second edition was produced by its publishers. Some years later, 'by a set of curious chances', it was agreed that a new edition of FCA would be published by Springer Verlag, the revision being carried out by me under Errett's supervision; at the same time, Errett gener ously insisted that I become a joint author. The revision turned out to be much more substantial than we had anticipated, and took longer than we would have wished. Indeed, tragically, Errett died before the work was completed. The present book is the result of our efforts. Although substantially based on FCA, it contains so much new material, and such full revision and expansion of the old, that it is essentially a new book. For this reason, and also to preserve the integrity of the original, I decided to give our joint work a title of its own. Most of the new material outside Chapter 5 originated with Errett.
Author :
Publisher : Allied Publishers
Page : 436 pages
File Size : 16,29 MB
Release : 2013
Category :
ISBN : 9788177644517
Probability theory
Author : Marek Capinski
Publisher : Springer Science & Business Media
Page : 229 pages
File Size : 41,78 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 1447136314
This very well written and accessible book emphasizes the reasons for studying measure theory, which is the foundation of much of probability. By focusing on measure, many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities, are opened. The book also includes many problems and their fully worked solutions.
Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 555 pages
File Size : 34,79 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 9400959915
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Author : M. Loeve
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 25,22 MB
Release : 1977-03-29
Category : Mathematics
ISBN : 9780387902104
This fourth edition contains several additions. The main ones con cern three closely related topics: Brownian motion, functional limit distributions, and random walks. Besides the power and ingenuity of their methods and the depth and beauty of their results, their importance is fast growing in Analysis as well as in theoretical and applied Proba bility. These additions increased the book to an unwieldy size and it had to be split into two volumes. About half of the first volume is devoted to an elementary introduc tion, then to mathematical foundations and basic probability concepts and tools. The second half is devoted to a detailed study of Independ ence which played and continues to playa central role both by itself and as a catalyst. The main additions consist of a section on convergence of probabilities on metric spaces and a chapter whose first section on domains of attrac tion completes the study of the Central limit problem, while the second one is devoted to random walks. About a third of the second volume is devoted to conditioning and properties of sequences of various types of dependence. The other two thirds are devoted to random functions; the last Part on Elements of random analysis is more sophisticated. The main addition consists of a chapter on Brownian motion and limit distributions.
Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 24,25 MB
Release : 2018-09-27
Category : Business & Economics
ISBN : 1108415199
An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.