Stopping Times And Directed Processes

Autor: G. A. Edgar
Publisher: Cambridge University Press
ISBN: 9780521350235
File Size: 12,39 MB
Format: PDF, ePub, Mobi
Read: 5347
Download or Read Book
A unified treatment of the theory of 'stopping times' for probability theorists and statisticians.

A Modern Approach To Probability Theory

Autor: Bert E. Fristedt
Publisher: Springer Science & Business Media
ISBN: 1489928375
File Size: 62,41 MB
Format: PDF, Docs
Read: 2150
Download or Read Book
Students and teachers of mathematics and related fields will find this book a comprehensive and modern approach to probability theory, providing the background and techniques to go from the beginning graduate level to the point of specialization in research areas of current interest. The book is designed for a two- or three-semester course, assuming only courses in undergraduate real analysis or rigorous advanced calculus, and some elementary linear algebra. A variety of applications—Bayesian statistics, financial mathematics, information theory, tomography, and signal processing—appear as threads to both enhance the understanding of the relevant mathematics and motivate students whose main interests are outside of pure areas.

Foundations Of Symmetric Spaces Of Measurable Functions

Autor: Ben-Zion A. Rubshtein
Publisher: Springer
ISBN: 331942758X
File Size: 24,46 MB
Format: PDF, Kindle
Read: 6618
Download or Read Book
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and mathematical physics noteworthy and useful. This book is intended for graduate students and researchers in mathematics and may be used as a general reference for the theory of functions, measure theory, and functional analysis. This self-contained text is presented in four parts totaling seventeen chapters to correspond with a one-semester lecture course. Each of the four parts begins with an overview and is subsequently divided into chapters, each of which concludes with exercises and notes. A chapter called “Complements” is included at the end of the text as supplementary material to assist students with independent work.

The Classical Fields

Autor: H. Salzmann
Publisher: Cambridge University Press
ISBN: 0521865166
File Size: 68,16 MB
Format: PDF, ePub, Docs
Read: 3617
Download or Read Book
The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.

Geometries On Surfaces

Autor: Burkard Polster
Publisher: Cambridge University Press
ISBN: 9780521660587
File Size: 48,40 MB
Format: PDF
Read: 9862
Download or Read Book
The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact.