Problems from the Discrete to the Continuous

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Release : 2014-08-09
Genre : Mathematics
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Book Rating : 654/5 ( reviews)

Problems from the Discrete to the Continuous - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Problems from the Discrete to the Continuous write by Ross G. Pinsky. This book was released on 2014-08-09. Problems from the Discrete to the Continuous available in PDF, EPUB and Kindle. The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats a melange of topics from combinatorial probability theory, number theory, random graph theory and combinatorics. The problems in this book involve the asymptotic analysis of a discrete construct, as some natural parameter of the system tends to infinity. Besides bridging discrete mathematics and mathematical analysis, the book makes a modest attempt at bridging disciplines. The problems were selected with an eye toward accessibility to a wide audience, including advanced undergraduate students. The book could be used for a seminar course in which students present the lectures.

Discrete or Continuous?

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Release : 2014-05
Genre : Science
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Book Rating : 802/5 ( reviews)

Discrete or Continuous? - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Discrete or Continuous? write by Amit Hagar. This book was released on 2014-05. Discrete or Continuous? available in PDF, EPUB and Kindle. Novel conceptual analysis, fresh historical perspectives, and concrete physical examples illuminate one of the most thought-provoking topics in physics.

Stochastic Control in Discrete and Continuous Time

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Release : 2008-11-11
Genre : Mathematics
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Book Rating : 162/5 ( reviews)

Stochastic Control in Discrete and Continuous Time - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Stochastic Control in Discrete and Continuous Time write by Atle Seierstad. This book was released on 2008-11-11. Stochastic Control in Discrete and Continuous Time available in PDF, EPUB and Kindle. This book contains an introduction to three topics in stochastic control: discrete time stochastic control, i. e. , stochastic dynamic programming (Chapter 1), piecewise - terministic control problems (Chapter 3), and control of Ito diffusions (Chapter 4). The chapters include treatments of optimal stopping problems. An Appendix - calls material from elementary probability theory and gives heuristic explanations of certain more advanced tools in probability theory. The book will hopefully be of interest to students in several ?elds: economics, engineering, operations research, ?nance, business, mathematics. In economics and business administration, graduate students should readily be able to read it, and the mathematical level can be suitable for advanced undergraduates in mathem- ics and science. The prerequisites for reading the book are only a calculus course and a course in elementary probability. (Certain technical comments may demand a slightly better background. ) As this book perhaps (and hopefully) will be read by readers with widely diff- ing backgrounds, some general advice may be useful: Don’t be put off if paragraphs, comments, or remarks contain material of a seemingly more technical nature that you don’t understand. Just skip such material and continue reading, it will surely not be needed in order to understand the main ideas and results. The presentation avoids the use of measure theory.

Continuous and Discrete Modules

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Release : 1990-02-22
Genre : Mathematics
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Book Rating : 750/5 ( reviews)

Continuous and Discrete Modules - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Continuous and Discrete Modules write by Saad H. Mohamed. This book was released on 1990-02-22. Continuous and Discrete Modules available in PDF, EPUB and Kindle. Continuous and discrete modules are, essentially, generalizations of infective and projective modules respectively. Continuous modules provide an appropriate setting for decomposition theory of von Neumann algebras and have important applications to C*-algebras. Discrete modules constitute a dual concept and are related to number theory and algebraic geometry: they possess perfect decomposition properties. The advantage of both types of module is that the Krull-Schmidt theorem can be applied, in part, to them. The authors present here a complete account of the subject and at the same time give a unified picture of the theory. The treatment is essentially self-contained, with background facts being summarized in the first chapter. This book will be useful therefore either to individuals beginning research, or the more experienced worker in algebra and representation theory.

Impulsive Control in Continuous and Discrete-Continuous Systems

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Release : 2012-12-06
Genre : Mathematics
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Book Rating : 958/5 ( reviews)

Impulsive Control in Continuous and Discrete-Continuous Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Impulsive Control in Continuous and Discrete-Continuous Systems write by Boris M. Miller. This book was released on 2012-12-06. Impulsive Control in Continuous and Discrete-Continuous Systems available in PDF, EPUB and Kindle. Impulsive Control in Continuous and Discrete-Continuous Systems is an up-to-date introduction to the theory of impulsive control in nonlinear systems. This is a new branch of the Optimal Control Theory, which is tightly connected to the Theory of Hybrid Systems. The text introduces the reader to the interesting area of optimal control problems with discontinuous solutions, discussing the application of a new and effective method of discontinuous time-transformation. With a large number of examples, illustrations, and applied problems arising in the area of observation control, this book is excellent as a textbook or reference for a senior or graduate-level course on the subject, as well as a reference for researchers in related fields.