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.
Problems from the Discrete to the Continuous
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 Pinsky. This book was released on 2014-08-15. 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 and Continuous Boundary Problems
Discrete and Continuous Boundary Problems - 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 and Continuous Boundary Problems write by Atkinson. This book was released on 1964-01-01. Discrete and Continuous Boundary Problems available in PDF, EPUB and Kindle. Discrete and Continuous Boundary Problems
Stochastic Control in Discrete and Continuous Time
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.
Computing the Continuous Discretely
Computing the Continuous Discretely - 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 Computing the Continuous Discretely write by Matthias Beck. This book was released on 2015-11-14. Computing the Continuous Discretely available in PDF, EPUB and Kindle. This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as beginning graduate students, this second edition is perfect for a capstone course, and adds two new chapters, many new exercises, and updated open problems. For scientists, this text can be utilized as a self-contained tooling device. The topics include a friendly invitation to Ehrhart’s theory of counting lattice points in polytopes, finite Fourier analysis, the Frobenius coin-exchange problem, Dedekind sums, solid angles, Euler–Maclaurin summation for polytopes, computational geometry, magic squares, zonotopes, and more. With more than 300 exercises and open research problems, the reader is an active participant, carried through diverse but tightly woven mathematical fields that are inspired by an innocently elementary question: What are the relationships between the continuous volume of a polytope and its discrete volume? Reviews of the first edition: “You owe it to yourself to pick up a copy of Computing the Continuous Discretely to read about a number of interesting problems in geometry, number theory, and combinatorics.” — MAA Reviews “The book is written as an accessible and engaging textbook, with many examples, historical notes, pithy quotes, commentary integrating the mate rial, exercises, open problems and an extensive bibliography.” — Zentralblatt MATH “This beautiful book presents, at a level suitable for advanced undergraduates, a fairly complete introduction to the problem of counting lattice points inside a convex polyhedron.” — Mathematical Reviews “Many departments recognize the need for capstone courses in which graduating students can see the tools they have acquired come together in some satisfying way. Beck and Robins have written the perfect text for such a course.” — CHOICE
