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Introduction to Geometric Probability

1997-12-11 Mathematics
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Release : 1997-12-11
Genre : Mathematics
Kind : eBook
Book Rating : 541/5 ( reviews)

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Book Synopsis Introduction to Geometric Probability by : Daniel A. Klain

Download or read book Introduction to Geometric Probability written by Daniel A. Klain. This book was released on 1997-12-11. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present the three basic ideas of geometrical probability, also known as integral geometry, in their natural framework. In this way, the relationship between the subject and enumerative combinatorics is more transparent, and the analogies can be more productively understood. The first of the three ideas is invariant measures on polyconvex sets. The authors then prove the fundamental lemma of integral geometry, namely the kinematic formula. Finally the analogues between invariant measures and finite partially ordered sets are investigated, yielding insights into Hecke algebras, Schubert varieties and the quantum world, as viewed by mathematicians. Geometers and combinatorialists will find this a most stimulating and fruitful story.

An Introduction to Geometrical Probability

1999-12-01 Mathematics
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Release : 1999-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 819/5 ( reviews)

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Book Synopsis An Introduction to Geometrical Probability by : A.M. Mathai

Download or read book An Introduction to Geometrical Probability written by A.M. Mathai. This book was released on 1999-12-01. Available in PDF, EPUB and Kindle. Book excerpt: A useful guide for researchers and professionals, graduate and senior undergraduate students, this book provides an in-depth look at applied and geometrical probability with an emphasis on statistical distributions. A meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience including applied researchers who will find the book to be both functional and practical with the large number of problems chosen from different disciplines A few topics such as packing and covering problems that have a vast literature are introduced here at a peripheral level for the purpose of familiarizing readers who are new to the area of research.

Introduction to Probability

2017-11-02 Mathematics
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Release : 2017-11-02
Genre : Mathematics
Kind : eBook
Book Rating : 98X/5 ( reviews)

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Book Synopsis Introduction to Probability by : David F. Anderson

Download or read book Introduction to Probability written by David F. Anderson. This book was released on 2017-11-02. Available in PDF, EPUB and Kindle. Book excerpt: This classroom-tested textbook is an introduction to probability theory, with the right balance between mathematical precision, probabilistic intuition, and concrete applications. Introduction to Probability covers the material precisely, while avoiding excessive technical details. After introducing the basic vocabulary of randomness, including events, probabilities, and random variables, the text offers the reader a first glimpse of the major theorems of the subject: the law of large numbers and the central limit theorem. The important probability distributions are introduced organically as they arise from applications. The discrete and continuous sides of probability are treated together to emphasize their similarities. Intended for students with a calculus background, the text teaches not only the nuts and bolts of probability theory and how to solve specific problems, but also why the methods of solution work.

Geometric Modeling in Probability and Statistics

2014-07-17 Mathematics
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Release : 2014-07-17
Genre : Mathematics
Kind : eBook
Book Rating : 791/5 ( reviews)

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Book Synopsis Geometric Modeling in Probability and Statistics by : Ovidiu Calin

Download or read book Geometric Modeling in Probability and Statistics written by Ovidiu Calin. This book was released on 2014-07-17. Available in PDF, EPUB and Kindle. Book excerpt: This book covers topics of Informational Geometry, a field which deals with the differential geometric study of the manifold probability density functions. This is a field that is increasingly attracting the interest of researchers from many different areas of science, including mathematics, statistics, geometry, computer science, signal processing, physics and neuroscience. It is the authors’ hope that the present book will be a valuable reference for researchers and graduate students in one of the aforementioned fields. This textbook is a unified presentation of differential geometry and probability theory, and constitutes a text for a course directed at graduate or advanced undergraduate students interested in applications of differential geometry in probability and statistics. The book contains over 100 proposed exercises meant to help students deepen their understanding, and it is accompanied by software that is able to provide numerical computations of several information geometric objects. The reader will understand a flourishing field of mathematics in which very few books have been written so far.

Introduction to Counting and Probability

2007-08 Counting
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Release : 2007-08
Genre : Counting
Kind : eBook
Book Rating : 109/5 ( reviews)

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Book Synopsis Introduction to Counting and Probability by : David Patrick

Download or read book Introduction to Counting and Probability written by David Patrick. This book was released on 2007-08. Available in PDF, EPUB and Kindle. Book excerpt:

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