Probability Combinatorics And Control
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Author | : Andrey Kostogryzov |
Publisher | : BoD – Books on Demand |
Total Pages | : 336 |
Release | : 2020-04-15 |
Genre | : Mathematics |
ISBN | : 1838801030 |
Download Probability, Combinatorics and Control Book in PDF, Epub and Kindle
Probabilistic and combinatorial techniques are often used for solving advanced problems. This book describes different probabilistic modeling methods and their applications in various areas, such as artificial intelligence, offshore platforms, social networks, and others. It aims to educate how modern probabilistic and combinatorial models may be created to formalize uncertainties; to train how new probabilistic models can be generated for the systems of complex structures; to describe the correct use of the presented models for rational control in systems creation and operation; and to demonstrate analytical possibilities and practical effects for solving different system problems on each life cycle stage.
Author | : Albert N. Shiryaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2012-08-07 |
Genre | : Mathematics |
ISBN | : 1461436885 |
Download Problems in Probability Book in PDF, Epub and Kindle
For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions, in addition to many new exercises. Most of the material in this book consists of exercises created by Shiryaev, collected and compiled over the course of many years while working on many interesting topics. Many of the exercises resulted from discussions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information. Lastly, the author has included an appendix at the end of the book that contains a summary of the main results, notation and terminology from Probability Theory that are used throughout the present book. This Appendix also contains additional material from Combinatorics, Potential Theory and Markov Chains, which is not covered in the book, but is nevertheless needed for many of the exercises included here.
Author | : D.P. Apte |
Publisher | : Excel Books India |
Total Pages | : 484 |
Release | : 2007 |
Genre | : Combinatorial analysis |
ISBN | : 9788174465207 |
Download Probability and Combinatorics Book in PDF, Epub and Kindle
This book covers a selection of topics on combinatorics, probability and discrete mathematics useful to the students of MCA, MBA, computer science and applied mathematics. The book uses a different approach in explaining these subjects, so as to be equally suitable for the students with different backgrounds from commerce to computer engineering. This book not only explains the concepts and provides variety of solved problems, but also helps students to develop insight and perception, to formulate and solve mathematical problems in a creative way. The book includes topics in combinatorics like advance principles of counting, combinatorial identities, concept of probability, random variables and their probability distributions, discrete and continuous standard distributions and jointly random variables, recurrence relations and generating functions. This book completely covers MCA syllabus of Pune University and will also be suitable for undergraduate science courses like B.Sc. as well as management courses.
Author | : Paul Erdös |
Publisher | : |
Total Pages | : 106 |
Release | : 1974 |
Genre | : |
ISBN | : |
Download Probabilistic Methods in combinatorics Book in PDF, Epub and Kindle
Author | : Noga Alon |
Publisher | : John Wiley & Sons |
Total Pages | : 322 |
Release | : 2004-04-05 |
Genre | : Mathematics |
ISBN | : 0471653985 |
Download The Probabilistic Method Book in PDF, Epub and Kindle
The leading reference on probabilistic methods in combinatorics-now expanded and updated When it was first published in 1991, The Probabilistic Method became instantly the standard reference on one of the most powerful and widely used tools in combinatorics. Still without competition nearly a decade later, this new edition brings you up to speed on recent developments, while adding useful exercises and over 30% new material. It continues to emphasize the basic elements of the methodology, discussing in a remarkably clear and informal style both algorithmic and classical methods as well as modern applications. The Probabilistic Method, Second Edition begins with basic techniques that use expectation and variance, as well as the more recent martingales and correlation inequalities, then explores areas where probabilistic techniques proved successful, including discrepancy and random graphs as well as cutting-edge topics in theoretical computer science. A series of proofs, or "probabilistic lenses," are interspersed throughout the book, offering added insight into the application of the probabilistic approach. New and revised coverage includes: * Several improved as well as new results * A continuous approach to discrete probabilistic problems * Talagrand's Inequality and other novel concentration results * A discussion of the connection between discrepancy and VC-dimension * Several combinatorial applications of the entropy function and its properties * A new section on the life and work of Paul Erdös-the developer of the probabilistic method
Author | : Vladimir N. Sachkov |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1997-05-15 |
Genre | : Mathematics |
ISBN | : 052145512X |
Download Probabilistic Methods in Combinatorial Analysis Book in PDF, Epub and Kindle
This work explores the role of probabilistic methods for solving combinatorial problems. The subjects studied are nonnegative matrices, partitions and mappings of finite sets, with special emphasis on permutations and graphs, and equivalence classes specified on sequences of finite length consisting of elements of partially ordered sets; these define the probabilistic setting of Sachkov's general combinatorial scheme. The author pays special attention to using probabilistic methods to obtain asymptotic formulae that are difficult to derive using combinatorial methods. This important book describes many ideas not previously available in English and will be of interest to graduate students and professionals in mathematics and probability theory.
Author | : Graham Brightwell |
Publisher | : Cambridge University Press |
Total Pages | : 27 |
Release | : 2007-03-08 |
Genre | : Mathematics |
ISBN | : 0521872073 |
Download Combinatorics and Probability Book in PDF, Epub and Kindle
This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.
Author | : Alexandru Nica |
Publisher | : Cambridge University Press |
Total Pages | : 430 |
Release | : 2006-09-07 |
Genre | : Mathematics |
ISBN | : 0521858526 |
Download Lectures on the Combinatorics of Free Probability Book in PDF, Epub and Kindle
This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.
Author | : David F. Anderson |
Publisher | : Cambridge University Press |
Total Pages | : 447 |
Release | : 2017-11-02 |
Genre | : Mathematics |
ISBN | : 110824498X |
Download Introduction to Probability Book in PDF, Epub and Kindle
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.
Author | : Béla Bollobás |
Publisher | : |
Total Pages | : 177 |
Release | : 1986 |
Genre | : Combinatorial analysis |
ISBN | : |
Download Combinatorics Book in PDF, Epub and Kindle