Lectures on the Combinatorics of Free Probability

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Publisher : Cambridge University Press
ISBN 13 : 0521858526
Total Pages : 430 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Lectures on the Combinatorics of Free Probability by : Alexandru Nica

Download or read book Lectures on the Combinatorics of Free Probability written by Alexandru Nica and published by Cambridge University Press. This book was released on 2006-09-07 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.

Combinatorics and Probability

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Publisher : Cambridge University Press
ISBN 13 : 0521872073
Total Pages : 27 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Combinatorics and Probability by : Graham Brightwell

Download or read book Combinatorics and Probability written by Graham Brightwell and published by Cambridge University Press. This book was released on 2007-03-08 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume celebrating the 60th birthday of Béla Bollobás presents the state of the art in combinatorics.

Practice Combinatorics and Probability

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Publisher :
ISBN 13 : 9780692639160
Total Pages : 136 pages
Book Rating : 4.6/5 (391 download)

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Book Synopsis Practice Combinatorics and Probability by : Cleo Borac

Download or read book Practice Combinatorics and Probability written by Cleo Borac and published by . This book was released on 2016-02-09 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as AMC-8, AMC-10, Math Kangaroo in USA, Math Leagues, USAMTS, or AIME? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 3 books are a strong preparation for AMC-8 and a partial preparation for AMC-10 and AIME. Level 3 consists of: Word Problems (volume 9), Arithmetic and Number Theory (volume 10), Operations and Algebra (volume 11), Geometry (volume 12), and Combinatorics (volume 13). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8, AMC-10. Their complexity makes these problem sets useful for preparing the AIME in the long run. About Volume 13 - Combinatorics and Probability This workbook presents a variety of problems that explore the most basic discrete counting techniques: permutations and combinations. The topics included are competition specific.

Proofs that Really Count

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Publisher : American Mathematical Society
ISBN 13 : 1470472597
Total Pages : 210 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Proofs that Really Count by : Arthur T. Benjamin

Download or read book Proofs that Really Count written by Arthur T. Benjamin and published by American Mathematical Society. This book was released on 2022-09-21 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.

102 Combinatorial Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 0817682228
Total Pages : 125 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 102 Combinatorial Problems by : Titu Andreescu

Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Introduction to Counting and Probability

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Publisher :
ISBN 13 : 9781934124109
Total Pages : 0 pages
Book Rating : 4.1/5 (241 download)

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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 and published by . This book was released on 2007-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Problems and Exercises

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Publisher : Elsevier
ISBN 13 : 0080933092
Total Pages : 636 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Combinatorial Problems and Exercises by : L. Lovász

Download or read book Combinatorial Problems and Exercises written by L. Lovász and published by Elsevier. This book was released on 2014-06-28 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book. Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.

Probability Theory

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814678058
Total Pages : 224 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Probability Theory by : Nikolai Dokuchaev

Download or read book Probability Theory written by Nikolai Dokuchaev and published by World Scientific Publishing Company. This book was released on 2015-06-12 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic, self-sufficient and yet short presentation of the mainstream topics on introductory Probability Theory with some selected topics from Mathematical Statistics. It is suitable for a 10- to 14-week course for second- or third-year undergraduate students in Science, Mathematics, Statistics, Finance, or Economics, who have completed some introductory course in Calculus. There is a sufficient number of problems and solutions to cover weekly tutorials.

Combinatorics: The Art of Counting

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Publisher : American Mathematical Soc.
ISBN 13 : 1470460327
Total Pages : 304 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Combinatorics: The Art of Counting by : Bruce E. Sagan

Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.

Problems in Probability

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Publisher : Springer Science & Business Media
ISBN 13 : 1461436885
Total Pages : 432 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Problems in Probability by : Albert N. Shiryaev

Download or read book Problems in Probability written by Albert N. Shiryaev and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorics

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Publisher : Springer
ISBN 13 : 3030008312
Total Pages : 365 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Combinatorics by : Pavle Mladenović

Download or read book Combinatorics written by Pavle Mladenović and published by Springer. This book was released on 2019-03-13 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a theoretical background for several topics in combinatorial mathematics, such as enumerative combinatorics (including partitions and Burnside's lemma), magic and Latin squares, graph theory, extremal combinatorics, mathematical games and elementary probability. A number of examples are given with explanations while the book also provides more than 300 exercises of different levels of difficulty that are arranged at the end of each chapter, and more than 130 additional challenging problems, including problems from mathematical olympiads. Solutions or hints to all exercises and problems are included. The book can be used by secondary school students preparing for mathematical competitions, by their instructors, and by undergraduate students. The book may also be useful for graduate students and for researchers that apply combinatorial methods in different areas.

Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 9780521457613
Total Pages : 372 pages
Book Rating : 4.4/5 (576 download)

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Book Synopsis Combinatorics by : Peter Jephson Cameron

Download or read book Combinatorics written by Peter Jephson Cameron and published by Cambridge University Press. This book was released on 1994-10-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple terms. The text should provide essential background for students in all parts of discrete mathematics.

Probability and Combinatorics

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Publisher : Excel Books India
ISBN 13 : 9788174465207
Total Pages : 484 pages
Book Rating : 4.4/5 (652 download)

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Book Synopsis Probability and Combinatorics by : D.P. Apte

Download or read book Probability and Combinatorics written by D.P. Apte and published by Excel Books India. This book was released on 2007 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Probability

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Author :
Publisher : CRC Press
ISBN 13 : 1466575573
Total Pages : 599 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Probability by : Joseph K. Blitzstein

Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.

Probability

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Publisher : Cambridge University Press
ISBN 13 : 113949113X
Total Pages : pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Probability by : Rick Durrett

Download or read book Probability written by Rick Durrett and published by Cambridge University Press. This book was released on 2010-08-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic introduction to probability theory for beginning graduate students covers laws of large numbers, central limit theorems, random walks, martingales, Markov chains, ergodic theorems, and Brownian motion. It is a comprehensive treatment concentrating on the results that are the most useful for applications. Its philosophy is that the best way to learn probability is to see it in action, so there are 200 examples and 450 problems. The fourth edition begins with a short chapter on measure theory to orient readers new to the subject.

Analytic Combinatorics

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Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.

Principles and Techniques in Combinatorics

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Publisher : World Scientific
ISBN 13 : 9789810211394
Total Pages : 314 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Principles and Techniques in Combinatorics by : Chuan-Chong Chen

Download or read book Principles and Techniques in Combinatorics written by Chuan-Chong Chen and published by World Scientific. This book was released on 1992 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.