Cantor Basics

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Publisher : Pastoral Press
ISBN 13 : 9780912405810
Total Pages : 122 pages
Book Rating : 4.4/5 (58 download)

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Book Synopsis Cantor Basics by : James Hansen

Download or read book Cantor Basics written by James Hansen and published by Pastoral Press. This book was released on 1991 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cantor Minimal Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 1470441152
Total Pages : 149 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Cantor Minimal Systems by : Ian F. Putnam

Download or read book Cantor Minimal Systems written by Ian F. Putnam and published by American Mathematical Soc.. This book was released on 2018-05-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the subject of topological dynamics, there has been considerable recent interest in systems where the underlying topological space is a Cantor set. Such systems have an inherently combinatorial nature, and seminal ideas of Anatoly Vershik allowed for a combinatorial model, called the Bratteli-Vershik model, for such systems with no non-trivial closed invariant subsets. This model led to a construction of an ordered abelian group which is an algebraic invariant of the system providing a complete classification of such systems up to orbit equivalence. The goal of this book is to give a statement of this classification result and to develop ideas and techniques leading to it. Rather than being a comprehensive treatment of the area, this book is aimed at students and researchers trying to learn about some surprising connections between dynamics and algebra. The only background material needed is a basic course in group theory and a basic course in general topology.

The Elements of Cantor Sets

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Publisher : John Wiley & Sons
ISBN 13 : 1118407431
Total Pages : 168 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis The Elements of Cantor Sets by : Robert W. Vallin

Download or read book The Elements of Cantor Sets written by Robert W. Vallin and published by John Wiley & Sons. This book was released on 2013-07-29 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra. The author fills a gap in the current literature by providing an introductory and integrated perspective, thereby preparing readers for further study and building a deeper understanding of analysis, topology, set theory, number theory, and algebra. The Elements of Cantor Sets provides coverage of: Basic definitions and background theorems as well as comprehensive mathematical details A biography of Georg Ferdinand Ludwig Philipp Cantor, one of the most significant mathematicians of the last century Chapter coverage of fractals and self-similar sets, sums of Cantor Sets, the role of Cantor Sets in creating pathological functions, p-adic numbers, and several generalizations of Cantor Sets A wide spectrum of topics from measure theory to the Monty Hall Problem An ideal text for courses in real analysis, topology, algebra, and set theory for undergraduate and graduate-level courses within mathematics, computer science, engineering, and physics departments, The Elements of Cantor Sets is also appropriate as a useful reference for researchers and secondary mathematics education majors.

The Work of the Cantor: Proclaimer of the Word, Leader of Prayer

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Publisher : World Library Publications
ISBN 13 : 9781584593492
Total Pages : 40 pages
Book Rating : 4.5/5 (934 download)

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Book Synopsis The Work of the Cantor: Proclaimer of the Word, Leader of Prayer by : Joe Simmons

Download or read book The Work of the Cantor: Proclaimer of the Word, Leader of Prayer written by Joe Simmons and published by World Library Publications. This book was released on 2008 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Guide for Cantors, Third Edition

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Publisher : Liturgy Training Publications
ISBN 13 : 1616715820
Total Pages : 82 pages
Book Rating : 4.6/5 (167 download)

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Book Synopsis Guide for Cantors, Third Edition by : Jennifer Kerr Budziak

Download or read book Guide for Cantors, Third Edition written by Jennifer Kerr Budziak and published by Liturgy Training Publications. This book was released on 2021-07-10 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Basic Category Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107044243
Total Pages : 193 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Basic Category Theory by : Tom Leinster

Download or read book Basic Category Theory written by Tom Leinster and published by Cambridge University Press. This book was released on 2014-07-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.

Discovering Modern Set Theory: The basics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821802666
Total Pages : 210 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Discovering Modern Set Theory: The basics by : Winfried Just

Download or read book Discovering Modern Set Theory: The basics written by Winfried Just and published by American Mathematical Soc.. This book was released on 1996 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to set theory for beginning graduate students who want to get a sound grounding in those aspects of set theory used extensively throughout other areas of mathematics. Topics covered include formal languages and models, the power and limitation of the Axiomatic Method, the Axiom of Choice, including the fascinating Banach-Tarski Paradox, applications of Zorn's Lemma, ordinal arithmetic, including transfinite induction, and cardinal arithmetic. The style of writing, more a dialogue with the reader than that of the Master indoctrinating the pupil, makes this also very suitable for self-study.

Guide for Cantors

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Publisher : LiturgyTrainingPublications
ISBN 13 : 9781568546056
Total Pages : 100 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Guide for Cantors by : Jennifer Kerr Breedlove

Download or read book Guide for Cantors written by Jennifer Kerr Breedlove and published by LiturgyTrainingPublications. This book was released on 2007 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Philosophy of Set Theory

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Publisher : Courier Corporation
ISBN 13 : 0486138550
Total Pages : 258 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis The Philosophy of Set Theory by : Mary Tiles

Download or read book The Philosophy of Set Theory written by Mary Tiles and published by Courier Corporation. This book was released on 2012-03-08 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVBeginning with perspectives on the finite universe and classes and Aristotelian logic, the author examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory, and more. /div

Georg Cantor

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Publisher : Princeton University Press
ISBN 13 : 0691214204
Total Pages : 422 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Georg Cantor by : Joseph Warren Dauben

Download or read book Georg Cantor written by Joseph Warren Dauben and published by Princeton University Press. This book was released on 2020-06-16 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.

Basic Analysis IV

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Publisher : CRC Press
ISBN 13 : 1351679244
Total Pages : 500 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Basic Analysis IV by : James K. Peterson

Download or read book Basic Analysis IV written by James K. Peterson and published by CRC Press. This book was released on 2020-08-12 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides. Features • Can be used as a traditional textbook as well as for self-study • Suitable for advanced students in mathematics and associated disciplines • Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions

Basic Set Theory

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Publisher : Courier Corporation
ISBN 13 : 0486150739
Total Pages : 418 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Basic Set Theory by : Azriel Levy

Download or read book Basic Set Theory written by Azriel Levy and published by Courier Corporation. This book was released on 2012-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.

Arnold Render Engine Basics Training Book for HOUDINI

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Author :
Publisher : Serdar Hakan DÜZGÖREN
ISBN 13 :
Total Pages : 1269 pages
Book Rating : 4./5 ( download)

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Book Synopsis Arnold Render Engine Basics Training Book for HOUDINI by : Serdar Hakan DÜZGÖREN

Download or read book Arnold Render Engine Basics Training Book for HOUDINI written by Serdar Hakan DÜZGÖREN and published by Serdar Hakan DÜZGÖREN. This book was released on with total page 1269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arnold Arnold is an advanced cross-platform rendering library, or API, used by a number of prominent organizations in film, television, and animation, including Sony Pictures Imageworks. It was developed as a photo-realistic, physically-based ray tracing alternative to traditional scanline based rendering software for CG animation. Arnold uses cutting-edge algorithms that make the most effective use of your computer’s hardware resources: memory, disk space, multiple processor cores, and SIMD/SSE units. The Arnold architecture was designed to easily adapt to existing pipelines. It is built on top of a pluggable node system; users can extend and customize the system by writing new shaders, cameras, filters, and output driver nodes, as well as procedural geometry, custom ray types and user-defined geometric data. The primary goal of the Arnold architecture is to provide a complete solution as a primary renderer for animation and visual effects. However, Arnold can also be used as: A ray server for traditional scanline renderers. A tool for baking/procedural generation of lighting data (lightmaps for videogames). An interactive rendering and relighting tool. Why is Arnold different? Arnold is a highly optimized, unbiased, physically-based 'Monte Carlo' ray/path tracing engine. It doesn't use caching algorithms that introduce artifacts like photon mapping and final gather. It is designed to efficiently render the increasingly complex images demanded by animation and visual effects facilities while simplifying the pipeline, infrastructure requirements and user experience. Arnold provides interactive feedback, often avoiding the need for many render passes and allowing you to match on-set lighting more efficiently. By removing many of the frustrating elements of other renderers, Arnold fits better with your work-flow, produces beautiful, predictable and bias-free results, and puts the fun back into rendering! What is wrong with algorithms like photon mapping or final gather? Such algorithms attempt to cache data that can be re-sampled later, to speed up rendering. However, in doing so, they use up large amounts of memory, introduce intermediate steps that break interactivity, and introduce bias into the sampling that causes visual artifacts. They also require artists to understand the details of how these algorithms work to correctly choose various control settings to get any speed up at all without ruining the render. Worse than that, these settings are almost always affected by other things in the scene, so it's often possible to accidentally use settings for the cache creation/use that make things worse, not better, or that work fine in one situation but are terrible in another, seemingly similar, situation. In short, they are not predictable, other than for very experienced users, and require artists to learn way too much about the algorithms to gain any benefit. We believe that your time is more valuable than your computer's time; why spend an extra 30 minutes working with photon mapping or final gather settings, even if it saves 30 minutes render time (and more often than not it doesn't). That's still 30 minutes not spent modeling, animating or lighting.

Introduction to Personality

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Publisher : John Wiley & Sons
ISBN 13 : 047008765X
Total Pages : 592 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Introduction to Personality by : Walter Mischel

Download or read book Introduction to Personality written by Walter Mischel and published by John Wiley & Sons. This book was released on 2007-09-10 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reflecting the latest developments, this eighth edition paints a picture of the field as a cumulative, integrative science that builds on its rich past. It provides a much more coherent view of the whole functioning individual in the social world. Throughout the chapters, emphasis is placed on practical applications and personal relevance to everyday life in a clear and compelling way. The book also explores the essential features and contributions from the field's heritage

Introduction to Mathematical Logic

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814397059
Total Pages : 281 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis Introduction to Mathematical Logic by : Michał Walicki

Download or read book Introduction to Mathematical Logic written by Michał Walicki and published by World Scientific Publishing Company. This book was released on 2011-12-13 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a systematic and well-paced introduction to mathematical logic. Excellent as a course text, the book presupposes only elementary background and can be used also for self-study by more ambitious students. Starting with the basics of set theory, induction and computability, it covers propositional and first-order logic — their syntax, reasoning systems and semantics. Soundness and completeness results for Hilbert's and Gentzen's systems are presented, along with simple decidability arguments. The general applicability of various concepts and techniques is demonstrated by highlighting their consistent reuse in different contexts. Unlike in most comparable texts, presentation of syntactic reasoning systems precedes the semantic explanations. The simplicity of syntactic constructions and rules — of a high, though often neglected, pedagogical value — aids students in approaching more complex semantic issues. This order of presentation also brings forth the relative independence of syntax from the semantics, helping to appreciate the importance of the purely symbolic systems, like those underlying computers. An overview of the history of logic precedes the main text, while informal analogies precede introduction of most central concepts. These informal aspects are kept clearly apart from the technical ones. Together, they form a unique text which may be appreciated equally by lecturers and students occupied with mathematical precision, as well as those interested in the relations of logical formalisms to the problems of computability and the philosophy of logic. Contents:A History of Logic:Patterns of ReasoningA Language and Its MeaningA Symbolic Language1850–1950 — Mathematical LogicModern Symbolic LogicSummaryElements of Set Theory:Sets, Functions, RelationsInductionTuring Machines:Computability and DecidabilityPropositional Logic:Syntax and Proof SystemsSemantics of PLSoundness and CompletenessFirst-Order Logic:Syntax and Proof Systems of FOLSemantics of FOLMore SemanticsSoundness and CompletenessWhy is First Order Logic “First Order”? Readership: Undergraduates learning logic, lecturers teaching logic, any professionals who are non-experts in the subject but wish to learn and understand more about logic.

Infinity: A Very Short Introduction

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Publisher : Oxford University Press
ISBN 13 : 019107151X
Total Pages : 144 pages
Book Rating : 4.1/5 (91 download)

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Book Synopsis Infinity: A Very Short Introduction by : Ian Stewart

Download or read book Infinity: A Very Short Introduction written by Ian Stewart and published by Oxford University Press. This book was released on 2017-03-13 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinity is an intriguing topic, with connections to religion, philosophy, metaphysics, logic, and physics as well as mathematics. Its history goes back to ancient times, with especially important contributions from Euclid, Aristotle, Eudoxus, and Archimedes. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Cosmologists consider sweeping questions about whether space and time are infinite. Philosophers and mathematicians ranging from Zeno to Russell have posed numerous paradoxes about infinity and infinitesimals. Many vital areas of mathematics rest upon some version of infinity. The most obvious, and the first context in which major new techniques depended on formulating infinite processes, is calculus. But there are many others, for example Fourier analysis and fractals. In this Very Short Introduction, Ian Stewart discusses infinity in mathematics while also drawing in the various other aspects of infinity and explaining some of the major problems and insights arising from this concept. He argues that working with infinity is not just an abstract, intellectual exercise but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.

Basic Real Analysis

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Publisher : Springer
ISBN 13 : 1493918419
Total Pages : 683 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Basic Real Analysis by : Houshang H. Sohrab

Download or read book Basic Real Analysis written by Houshang H. Sohrab and published by Springer. This book was released on 2014-11-15 with total page 683 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued functions of a real variable. The chapters on Lebesgue measure and integral have been rewritten entirely and greatly improved. They now contain Lebesgue’s differentiation theorem as well as his versions of the Fundamental Theorem(s) of Calculus. With expanded chapters, additional problems, and an expansive solutions manual, Basic Real Analysis, Second Edition is ideal for senior undergraduates and first-year graduate students, both as a classroom text and a self-study guide. Reviews of first edition: The book is a clear and well-structured introduction to real analysis aimed at senior undergraduate and beginning graduate students. The prerequisites are few, but a certain mathematical sophistication is required. ... The text contains carefully worked out examples which contribute motivating and helping to understand the theory. There is also an excellent selection of exercises within the text and problem sections at the end of each chapter. In fact, this textbook can serve as a source of examples and exercises in real analysis. —Zentralblatt MATH The quality of the exposition is good: strong and complete versions of theorems are preferred, and the material is organised so that all the proofs are of easily manageable length; motivational comments are helpful, and there are plenty of illustrative examples. The reader is strongly encouraged to learn by doing: exercises are sprinkled liberally throughout the text and each chapter ends with a set of problems, about 650 in all, some of which are of considerable intrinsic interest. —Mathematical Reviews [This text] introduces upper-division undergraduate or first-year graduate students to real analysis.... Problems and exercises abound; an appendix constructs the reals as the Cauchy (sequential) completion of the rationals; references are copious and judiciously chosen; and a detailed index brings up the rear. —CHOICE Reviews