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Ordered Sets / An Introduction, Schröder Bernd


Âàðèàíòû ïðèîáðåòåíèÿ
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Ïðè îôîðìëåíèè çàêàçà äî: 2025-07-28
Îðèåíòèðîâî÷íàÿ äàòà ïîñòàâêè: Àâãóñò-íà÷àëî Ñåíòÿáðÿ
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â Ìîè æåëàíèÿ

Àâòîð: Schröder Bernd
Íàçâàíèå:  Ordered Sets / An Introduction
Ïåðåâîä íàçâàíèÿ: Óïîðÿäî÷åííîå ìíîæåñòâî (ââåäåíèå)
ISBN: 9780817641283
Èçäàòåëüñòâî: Springer
Êëàññèôèêàöèÿ:



ISBN-10: 0817641289
Îáëîæêà/Ôîðìàò: Hardback
Ñòðàíèöû: 416
Âåñ: 0.76 êã.
Äàòà èçäàíèÿ: 17.12.2002
ßçûê: English
Èëëþñòðàöèè: 35 black & white illustrations, 35 black & white l
Ðàçìåð: 23.98 x 16.41 x 2.54 cm
×èòàòåëüñêàÿ àóäèòîðèÿ: Postgraduate, research & scholarly
Ïîäçàãîëîâîê: An introduction
Ññûëêà íà Èçäàòåëüñòâî: Link
Ðåéòèíã:
Ïîñòàâëÿåòñÿ èç: Ãåðìàíèè
Îïèñàíèå: This work is an introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions, and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. A wide range of material is presented, from classical results such as Dilworths, Szpilrajns and Hashimotos Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theorys role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.
Äîïîëíèòåëüíîå îïèñàíèå: Ôîðìàò: 235x155
Èëþñòðàöèè: 35
Êðóã ÷èòàòåëåé: undergrad/graduate studentsinstructorsresearchersn/a
Êëþ÷åâûå ñëîâà: combinatorics
discrete mathematics
set theory
ßçûê: eng
Îãëàâëåíèå: Preface * List of Figures * The Basics * Chains, Antichains and Fences * Upper and Lower Bounds * Retractions * Lattices * Truncated Lattices * The Dimension of Ordered Sets * Interval Orders * Lexicographic Sums * Sets P^Q = Hom (Q, P) and Products * Enumeration * Algorithmic Aspects * Appendix A: A Primer on Algebraic Topology * Appendix B: Order vs. Analysis * References * Index




Introduction to error analysis

Àâòîð: Taylor, John R.
Íàçâàíèå: Introduction to error analysis
ISBN: 093570275X ISBN-13(EAN): 9780935702750
Èçäàòåëüñòâî: Springer
Ðåéòèíã:
Öåíà: 6986.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: The need for error analysis is captured in the book`s arresting cover shot - of the 1895 Paris train disaster (also available as a wall poster). The early chapters teach elementary techniques of error propagation and statistical analysis to enable students to produce successful lab reports.

A Topological Introduction to Nonlinear Analysis

Àâòîð: Brown Robert F.
Íàçâàíèå: A Topological Introduction to Nonlinear Analysis
ISBN: 0817632581 ISBN-13(EAN): 9780817632588
Èçäàòåëüñòâî: Springer
Ðåéòèíã:
Öåíà: 6282.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: "The book is highly recommended as a text for an introductory course in nonlinear analysis and bifurcation theory . . . reading is fluid and very pleasant . . . style is informal but far from being imprecise." —MATHEMATICAL REVIEWS (Review of the First Edition) Here is a book that will be a joy to the mathematician or graduate student of mathematics---or even the well-prepared undergraduate---who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis. Based on carefully expounded ideas from several branches of topology, and illustrated by a wealth of figures that attest to the geometric nature of the exposition, the book will be of immense help in providing its readers with an understanding of the mathematics of the nonlinear phenomena that characterize our real world.New to the second edition: New chapters will supply additional applications of the theory and techniques presented in the book. * Several new proofs, making the second edition more self-contained.

An Introduction to Fuzzy Logic and Fuzzy Sets

Àâòîð: Buckley James J., Eslami Esfandiar
Íàçâàíèå: An Introduction to Fuzzy Logic and Fuzzy Sets
ISBN: 3790814474 ISBN-13(EAN): 9783790814477
Èçäàòåëüñòâî: Springer
Ðåéòèíã:
Öåíà: 7680.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: This book is to be the starting point for any curriculum in fuzzy systems in fields like computer science, mathematics, business/economics and engineering. It covers the basics leading to: fuzzy clustering, fuzzy pattern recognition, fuzzy database, fuzzy image processing, soft computing, fuzzy applications in operations research, fuzzy decision making, fuzzy rule based systems, fuzzy systems modeling, fuzzy mathematics. It is not a book designed for researchers - it is where you really learn the "basics" needed for any of the above-mentioned applications.

Introduction to random matrices

Àâòîð: Anderson, Greg W. Guionnet, Alice Zeitouni, Ofer
Íàçâàíèå: Introduction to random matrices
ISBN: 0521194520 ISBN-13(EAN): 9780521194525
Èçäàòåëüñòâî: Cambridge Academ
Ðåéòèíã:
Öåíà: 11088.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: The theory of random matrices plays an important role in many areas of pure mathematics. This rigorous introduction is specifically designed for graduate students in mathematics or related sciences, who have a background in probability theory but have not been exposed to advanced notions of functional analysis, algebra or geometry.

An Introduction to Non-Classical Logic

Àâòîð: Graham Priest
Íàçâàíèå: An Introduction to Non-Classical Logic
ISBN: 0521854334 ISBN-13(EAN): 9780521854337
Èçäàòåëüñòâî: Cambridge Academ
Ðåéòèíã:
Öåíà: 14890.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues are explained.

Lecture Notes on Algebraic Structure of Lattice-Ordered Ring

Àâòîð: Ma Jingjing
Íàçâàíèå: Lecture Notes on Algebraic Structure of Lattice-Ordered Ring
ISBN: 9814571423 ISBN-13(EAN): 9789814571425
Èçäàòåëüñòâî: World Scientific Publishing
Ðåéòèíã:
Öåíà: 10930.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: Algebraic Structure of Lattice-Ordered Rings presents an introduction to the theory of lattice-ordered rings and some new developments in this area in the last 10-15 years. It aims to provide the reader with a good foundation in the subject, as well as some new research ideas and topic in the field.This book may be used as a textbook for graduate and advanced undergraduate students who have completed an abstract algebra course including general topics on group, ring, module, and field. It is also suitable for readers with some background in abstract algebra and are interested in lattice-ordered rings to use as a self-study book.The book is largely self-contained, except in a few places, and contains about 200 exercises to assist the reader to better understand the text and practice some ideas.

Molecular Symmetry and Group Theory : A Programmed Introduction to Chemical Applications, 2nd Edition

Àâòîð: Alan Vincent
Íàçâàíèå: Molecular Symmetry and Group Theory : A Programmed Introduction to Chemical Applications, 2nd Edition
ISBN: 0471489395 ISBN-13(EAN): 9780471489399
Èçäàòåëüñòâî: Wiley
Ðåéòèíã:
Öåíà: 5219.00 ð.
Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.

Îïèñàíèå: This substantially revised and expanded new edition of the bestselling textbook, addresses the difficulties that can arise with the mathematics that underpins the study of symmetry, and acknowledges that group theory can be a complex concept for students to grasp.


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