MARC details
| 000 -LEADER |
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| fixed length control field |
03803nam a22004215i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DE-He213 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20231104114222.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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| fixed length control field |
cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
151116s2015 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319227504 |
| Canceled/invalid ISBN |
978-3-319-22750-4 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-3-319-22750-4 |
| Source of number or code |
doi |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA8.9-QA10.3 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
UYA |
| Source |
bicssc |
|
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| Subject category code |
MAT018000 |
| Source |
bisacsh |
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|---|
| Subject category code |
UYA |
| Source |
thema005.131 |
| -- |
23 |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
İngilizce |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Doberkat, Ernst-Erich. |
| Relator term |
author. |
| Relator code |
aut |
| -- |
http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Special Topics in Mathematics for Computer Scientists : |
| Remainder of title |
Sets, Categories, Topologies and Measures / |
| Statement of responsibility, etc. |
by Ernst-Erich Doberkat. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Cham : |
| Name of producer, publisher, distributor, manufacturer |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2015. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource |
| 336 ## - CONTENT TYPE |
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| Content type term |
text |
| Content type code |
txt |
| Source |
rdacontent |
| 337 ## - MEDIA TYPE |
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| Media type term |
computer |
| Media type code |
c |
| Source |
rdamedia |
| 338 ## - CARRIER TYPE |
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| Carrier type term |
online resource |
| Carrier type code |
cr |
| Source |
rdacarrier |
| 347 ## - DIGITAL FILE CHARACTERISTICS |
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| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- 1 The Axiom of Choice and Some of Its Equivalents -- 2 Categories -- 3 Topological Spaces -- 4 Measures for Probabilistic Systems -- List of Examples -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This textbook addresses the mathematical description of sets, categories, topologies and measures, as part of the basis for advanced areas in theoretical computer science like semantics, programming languages, probabilistic process algebras, modal and dynamic logics and Markov transition systems. Using motivations, rigorous definitions, proofs and various examples, the author systematically introduces the Axiom of Choice, explains Banach-Mazur games and the Axiom of Determinacy, discusses the basic constructions of sets and the interplay of coalgebras and Kripke models for modal logics with an emphasis on Kleisli categories, monads and probabilistic systems. The text further shows various ways of defining topologies, building on selected topics like uniform spaces, Gödel’s Completeness Theorem and topological systems. Finally, measurability, general integration, Borel sets and measures on Polish spaces, as well as the coalgebraic side of Markov transition kernels along with applications to probabilistic interpretations of modal logics are presented. Special emphasis is given to the integration of (co-)algebraic and measure-theoretic structures, a fairly new and exciting field, which is demonstrated through the interpretation of game logics. Readers familiar with basic mathematical structures like groups, Boolean algebras and elementary calculus including mathematical induction will discover a wealth of useful research tools. Throughout the book, exercises offer additional information, and case studies give examples of how the techniques can be applied in diverse areas of theoretical computer science and logics. References to the relevant mathematical literature enable the reader to find the original works and classical treatises, while the bibliographic notes at the end of each chapter provide further insights and discussions of alternative approaches. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Computer science. |
|
|---|
| Topical term or geographic name entry element |
Logic, Symbolic and mathematical. |
|
|---|
| Topical term or geographic name entry element |
Algebra. |
|
|---|
| Topical term or geographic name entry element |
Mathematical Logic and Formal Languages. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/I16048 |
|
|---|
| Topical term or geographic name entry element |
Mathematical Logic and Foundations. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/M24005 |
|
|---|
| Topical term or geographic name entry element |
Category Theory, Homological Algebra. |
| Authority record control number or standard number |
http://scigraph.springernature.com/things/product-market-codes/M11035 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-319-22750-4">https://doi.org/10.1007/978-3-319-22750-4</a> |
| Materials specified |
Springer eBooks |
| Public note |
Online access link to the resource |
| 912 ## - |
|---|
| -- |
ZDB-2-SCS |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
E-Book |
