This book is a brief and focused introduction to the reverse mathematics and computability theory of combinatorial principles, an area of research which has seen a particular surge of activity in the last few years. It provides an overview of some fundamental ideas and techniques, and enough context to make it possible for students with at least a basic knowledge of computability theory and proof theory to appreciate the exciting advances currently happening in the area, and perhaps make contributions of their own. It adopts a case-study approach, using the study of versions of Ramsey's Theorem (for colorings of tuples of natural numbers) and related principles as illustrations of various aspects of computability theoretic and reverse mathematical analysis. This book contains many exercises and open questions.
Автор: Cameron Peter J Название: Notes on Counting: An Introduction to Enumerative Combinator ISBN: 1108404952 ISBN-13(EAN): 9781108404952 Издательство: Cambridge Academ Рейтинг: Цена: 5702.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Enumerative combinatorics, in its algebraic and analytic forms, is vital to many areas of mathematics, from model theory to statistical mechanics. This book, drawn from many years of teaching, invites students into the subject and prepares them for more advanced texts. It is suitable as a class text or for individual study.
Автор: Stanley Название: Enumerative Combinatorics ISBN: 1107602629 ISBN-13(EAN): 9781107602625 Издательство: Cambridge Academ Рейтинг: Цена: 5988.00 р. 8554.00-30% Наличие на складе: Есть (1 шт.) Описание: Richard Stanley`s two-volume basic introduction to enumerative combinatorics has become the standard guide to the topic for students and experts alike. This thoroughly revised second edition of Volume 1 includes more than 300 new exercises, many with solutions, updated and expanded chapter bibliographies and substantial new material on permutation statistics.
Автор: Ball Название: Finite Geometry and Combinatorial Applications ISBN: 1107107997 ISBN-13(EAN): 9781107107991 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: For students and researchers interested in algebraic combinatorics, this book not only provides an introduction to the geometries arising from vector spaces over finite fields but also shows how these geometries can be applied to various combinatorial objects. More than 100 exercises and solutions are provided.
Автор: Le Roux Название: Combinatorial Inference In Geometri ISBN: 1498781616 ISBN-13(EAN): 9781498781619 Издательство: Taylor&Francis Рейтинг: Цена: 16843.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Combinatorial Inference in Geometric Data Analysis gives an overview of multidimensional statistical inference methods applicable to clouds of points that make no assumption on the process of generating data or distributions, and that are not based on random modelling but on permutation procedures recasting in a combinatorial framework.
Автор: Feng Yuefeng Название: Combinatorial Extremization ISBN: 9814723169 ISBN-13(EAN): 9789814723169 Издательство: World Scientific Publishing Рейтинг: Цена: 3326.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In China, lots of excellent students who are good at maths takes an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad.
Автор: Yanpei Liu Название: Combinatorial Functional Equations: Basic Theory ISBN: 3110623919 ISBN-13(EAN): 9783110623918 Издательство: Walter de Gruyter Цена: 22491.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This two-volume set presents combinatorial functional equations using an algebraic approach, and illustrates their applications in combinatorial maps, graphs, networks, etc. The first volume mainly presents basic concepts and the theoretical background. Differential (ordinary and partial) equations and relevant topics are discussed in detail.
Автор: Alladi Krishnaswami, Berndt Bruce C., Paule Peter Название: George E. Andrews 80 Years of Combinatory Analysis ISBN: 3030570495 ISBN-13(EAN): 9783030570491 Издательство: Springer Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Preface.- Part I Personal Contributions.- The Worlds of George Andrews, a Daughter's Take.- My Association and Collaboration with George Andrews .- Ramanujan, His Lost Notebook, Its Importance.- Part II Photographs.- George Andrews: "Combinatory Analysis 80" Picture Book.- Part III Articles.- Dissections of Strange q-Series.- Dyson's "Favorite" Identity and Chebyshev Polynomials of the Third and Fourth Kind.- A q-Translation Approach to Liu's Calculus.- Combinations of Ranks and Cranks of Partitions Moduli 6, 9 and 12 and Their Comparison with the Partition Function.- Combinatorial Proofs of Two Euler-Type Identities Due to Andrews.- Noncommutative Catalan Numbers.- Elementary Polynomial Identities Involving q-Trinomial Coefficients.- A Partial Theta Function Borwein Conjecture.- A Note on Andrews' Partitions with Parts Separated by Parity.- A Bijective Proof of a False Theta Function Identity from Ramanujan's Lost Notebook.- Quasipolynomials and Maximal Coefficients of Gaussian Polynomials.- Finding Modular Functions for Ramanujan-Type Identities.- Partitions into Distinct Parts Modulo Powers of 5.- The A2 Rogers-Ramanujan Identities Revisited.- Properties of Multivariate b-Ary Stern Polynomials.- A Simple Proof of a Congruence for a Series Involving the Little q-Jacobi Polynomials.- D.H. Lehmer's Tridiagonal Determinant: An Йtude in (Andrews-Inspired) Experimental Mathematics.- Gaussian Binomial Coefficients with Negative Arguments.- A Lecture Hall Theorem for m-Falling Partitions.- New Fifth and Seventh Order Mock Theta Function Identities.- On Pattern-Avoiding Fishburn Permutations.- A q-Analogue for Euler's ζ(6) = π6 /945.- A Variant of IdentityFinder and Some New Identities of Rogers-Ramanujan-MacMahon Type.- Andrews-Gordon Type Series for Kanade-Russell Conjectures.- A Generalization of Schrцter's Formula.- A Truncated Theta Identity of Gauss and Overpartitions into Odd Parts.- Combinatory Classes of Compositions with Higher Order Conjugation.- Marking and Shifting a Part in Partitions.- On Witten's Extremal Partition Functions.- A Proof of the Weierstra Gap Theorem not Using the Riemann-Roch Formula.- Richaud-Degert Real Quadratic Fields and Maass Waveforms.- Sequentially Congruent Partitions and Related Bijections.- Singular Overpartitions and Partitions with Prescribed Hook Differences.- The Combinatorics of MacMahon's Partial Fractions.- Twin Composites, Strange Continued Fractions, and a Transformation that Euler Missed (Twice).- On the Andrews-Yee Identities Associated with Mock Theta Functions.- Congruences for q-Binomial Coefficients.- The Final Problem: A Series Identity from the Lost Notebook.- A Family of Identities That Yields aWide Variety of Partition Theorem.
Автор: Krishnaswami Alladi; Peter Paule; James Sellers; A Название: Combinatory Analysis ISBN: 146147857X ISBN-13(EAN): 9781461478577 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers-one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar-which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.
Автор: Krishnaswami Alladi; Peter Paule; James Sellers; A Название: Combinatory Analysis ISBN: 1489988351 ISBN-13(EAN): 9781489988355 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In reproducing Volume 23 of The Ramanujan Journal in this book form, we have included two papers-one by Hei-Chi Chan and Shaun Cooper, and another by Ole Warnaar-which were intended for Volume 23 of The Ramanujan Journal, but appeared in other issues.
Автор: Smullyan Raymond M Название: Beginner`S Further Guide To Mathematical Logic, A ISBN: 9814725722 ISBN-13(EAN): 9789814725729 Издательство: World Scientific Publishing Рейтинг: Цена: 3168.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: 'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on formal systems and recursion, and concludes with chapters on G del's famous incompleteness theorem, along with related results.The present volume begins with a bit more on propositional and first-order logic, followed by what I would call a 'fein' chapter, which simultaneously generalizes some results from recursion theory, first-order arithmetic systems, and what I dub a 'decision machine.' Then come five chapters on formal systems, recursion theory and metamathematical applications in a general setting. The concluding five chapters are on the beautiful subject of combinatory logic, which is not only intriguing in its own right, but has important applications to computer science. Argonne National Laboratory is especially involved in these applications, and I am proud to say that its members have found use for some of my results in combinatory logic.This book does not cover such important subjects as set theory, model theory, proof theory, and modern developments in recursion theory, but the reader, after studying this volume, will be amply prepared for the study of these more advanced topics.
Описание: This Book Is A Unique Work Which Provides An In-Depth Exploration Into The Mathematical Expertise, Philosophy, And Knowledge Of H W Gould. It Is Written In A Style That Is Accessible To The Reader With Basic Mathematical Knowledge, And Yet Contains Material That Will Be Of Interest To The Specialist In Enumerative Combinatorics. This Book Begins With Exposition On The Combinatorial And Algebraic Techniques That Professor Gould Uses For Proving Binomial Identities. These Techniques Are Then Applied To Develop Formulas Which Relate Stirling Numbers Of The Second Kind To Stirling Numbers Of The First Kind. Professor Gould'S Techniques Also Provide Connections Between Both Types Of Stirling Numbers And Bernoulli Numbers. Professor Gould Believes His Research Success Comes From His Intuition On How To Discover Combinatorial Identities.This Book Will Appeal To A Wide Audience And May Be Used Either As Lecture Notes For A Beginning Graduate Level Combinatorics Class, Or As A Research Supplement For The Specialist In Enumerative Combinatorics.
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