Kooperativer Bibliotheksverbund

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Format: 1 Online-Ressource (xvii, 487 p.) , 24 cm

Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3

ISBN: 0125976801 , 9780125976800

Series Statement: Pure and applied mathematics 98

Note: Includes indexes

Additional Edition: Reproduktion von Linear orderings 1982

Language: English

Subjects: Mathematics , Philosophy

Keywords: Ordnung ; Ordnung ; Mengenlehre ; Lineare Ordnung

URL: Volltext

URL: Volltext  (Deutschlandweit zugänglich)

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Format: XI, 487 S.

ISBN: 0-12-597680-1

Series Statement: Pure and applied mathematics 98

Language: English

Subjects: Mathematics , Philosophy

Keywords: Ordnung ; Ordnung ; Mengenlehre ; Lineare Ordnung

URL: Inhaltsverzeichnis

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Format: 1 online resource (507 p.)

ISBN: 1-281-76890-1 , 9786611768904 , 0-08-087414-2

Series Statement: Pure and applied mathematics ; 98

Content: Linear orderings

Note: Description based upon print version of record. , Front Cover; Linear Orderings; Copyright Page; Contents; Preface; Acknowledgments; PART I: INTRODUCTION TO LINEAR ORDERINGS; Chapter 1. Introduction; 1. Basic Definitions; 2. Relations between Linear Orderings; 3. Characteristics of Linear Orderings; 4. Operations on Linear Orderings; 5. Countable Linear Orderings; Chapter 2. Dense Linear Orderings; 1. Dense Linear Orderings; 2. Countable Dense Linear Orderings; Properties of η; 3. Scattered Linear Orderings; 4. Uncountable Dense Linear Orderings; Completeness; Properties of λ and θ; Chapter 3. Well-Orderings and Ordinals , 1. Well-Orderings2. Ordinals and Cardinal Numbers; 3. Ordinals and Induction; 4. The Arithmetic of Ordinals; 5. Continuous Functions; 6. The Arithmetic of Cardinal Numbers; References; PART II: COMBINATORIAL ASPECTS OF LINEAR ORDERINGS; Chapter 4. Condensing Linear Orderings; 1. Condensations and Homomorphisms; 2. The Condensation cF; 3. The Condensation cW; 4. The Condensation cS; References; Chapter 5. Hausdorff's Theorem; 1. Introduction; 2. Iterated Condensations; 3. Hausdorff's Theorem; 4. Z and Its Powers; References; Chapter 6. The Ehrenfeucht-Fraisse Game; I . The Play of the Game , 2. Games and OrdinalsReferences; Chapter 7. Ramsey's Theorem and Ehrenfeucht Games; 1. Ramsey's Theorem; 2. The Theorem of Läuchli and Leonard for Scattered Linear Orderings; 3. Dense Partitions of η; The Shuffle Operation; 4. The Theorem of Läuchli and Leonard; References; Chapter 8. Transitive Linear Orderings; 1. Transitive Linear Orderings; 2. The Order Types of Ordered Abelian Groups; 3. Lexicographic Products and the Order Type of the Irrationals; 4. Transitivity and the Exponentration of Linear Orderings; 5. Automorphisms of Linear Orderings; 6. Almost Transitive Linear Orderings , ReferencesChapter 9. Uncountable Dense Linear Orderings; 1. Diagonal Arguments and the Theorem of Dushnik and Miller; 2. The Theorems of Sierpinski; 3. Suborderings of λ, Continued; 4. ηx-Orderings; References; Chapter 10. Embeddings of Linear Orderings and Fraïssé's Conjecture; 1. Indecomposable Order Types; 2. Fraïssé's Results and Conjectures; 3. Well-Quasi-Orderings; 4. Better-Quasi-Orderings; 5. Additively Indecomposable Linear Orderings and Fraïssé's Conjecture; References; Chapter 11. Partition Theorems; References and Bibliography on Partition Theorems , PART lll: LOGICAL ASPECTS OF LINEAR ORDERINGSChapter 12. Linear Orderings and Formal Languages; 1. Introduction; 2. First-Order Languages; 3. Infinitary Languages; 4. Second-Order Languages; 5. Algorithms and Decision Procedures; References; Chapter 13. The First-Order Theory of Linear Orderings; 1. The Ehrenfeucht-Fraïssé's Games and First-Order Theories; 2. The Ehrenfeucht Games and the First-Order Theory of Linear Orderings; 3. Decidability of First-Order Theories of Linear Orderings; 4. Model Theory and Linear Orderings; 5. The Number of Countable Models of a Complete Theory , 6. Finitely Axiomatizable Linear Orderings , English

Additional Edition: ISBN 0-12-597680-1

Language: English

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Format: XXXIII, 452 S.

ISBN: 0821804480

Series Statement: Series in discrete mathematics and theoretical computer science 36

Note: Papers from a conference held at DIMACS at Rutgers University in Oct. 1992 - "NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science. A consortium of Rutgers University, Princeton University, AT&T Labs, Bell Labs, and Bellcore." - Includes bibliographical references

Language: English

Subjects: Mathematics

Keywords: Konferenzschrift

URL: Inhaltstext

URL: Inhaltsverzeichnis

Author information: Roberts, Fred S. 1943-

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Format: 1 online resource (xxxiii, 452 p. : ill.)

Edition: Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

ISBN: 9781470439941 (online)

Series Statement: DIMACS Series in Discrete Mathematics and Theoretical Computer Science, v. 36

Note: Papers from a conference held at DIMACS at Rutgers University in Oct. 1992. , "NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science. A consortium of Rutgers University, Princeton University, AT&T Labs, Bell Labs, and Bellcore." , The impact of discrete mathematics in my classroom , Three for the money: An hour in the classroom , Fibonacci reflections-It's elementary! , Using discrete mathematics to give remedial students a second chance , What we've got here is a failure to cooperate , Implementing the Standards: Let's focus on the first four , Discrete mathematics: A vehicle for problem solving and excitement , Logic and discrete mathematics in the schools , Writing discrete(ly) , Discrete mathematics and public perceptions of mathematics , Mathematical modeling and discrete mathematics , The role of applications in teaching discrete mathematics , What is discrete mathematics? The many answers , A comprehensive view of discrete mathematics: Chapter 14 of the New Jersey Mathematics Curriculum Framework , Discrete mathematics in K-2 classrooms , Rhythm and pattern: Discrete mathematics with an artistic connection for elementary school teachers , Discrete mathematics activities for middle school , Putting chaos into calculus courses , Making a difference with difference equations , Discrete mathematical modeling in the secondary curriculum: Rationale and examples from The Core-Plus Mathematics Project , A discrete mathematics experience with general mathematics students , Algorithms, algebra, and the computer lab , Discrete mathematics is already in the classroom -- But it's hiding , Integrating discrete mathematics into the curriculum: An example , The status of discrete mathematics in the high schools , Discrete mathematics: A fresh start for secondary students , A discrete mathematics textbook for high schools , Computer science, problem solving, and discrete mathematics , The role of computer science and discrete mathematics in the high school curriculum , Discrete mathematics software for K-12 education , Recommended resources for teaching discrete mathematics , The leadership program in discrete mathematics , Computer software for the teaching of discrete mathematics in the schools , Mode of access : World Wide Web

Additional Edition: Print version: Discrete mathematics in the schools / ISSN 1052-1798 ISBN 9780821811375

Language: English

URL: Contents

URL: Contents

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Format: 487 Seiten

ISBN: 0125976801

Series Statement: Pure and applied mathematics : a series of monographs and textbooks 98

Language: English