MARC details
| 000 -LEADER |
|---|
| fixed length control field |
03521 a2200313 4500 |
| 001 - CONTROL NUMBER |
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| control field |
200043891 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
TR-AnTOB |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200812112951.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
111215s2010 nju 001 0 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780470551387 (hardback) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
TR-AnTOB |
| 041 ## - LANGUAGE CODE |
|---|
| Language code of text/sound track or separate title |
İngilizce |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA248 |
| Item number |
.S358 2010 |
| 090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
|---|
| Classification number (OCLC) (R) ; Classification number, CALL (RLIN) (NR) |
QA248 .S358 2010 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Schroder, Bernd S. W., |
| Fuller form of name |
(Bernd Siegfried Walter), |
| Dates associated with a name |
1966- |
| 9 (RLIN) |
79783 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Fundamentals of mathematics : |
| Remainder of title |
an introduction to proofs, logic, sets, and numbers / |
| Statement of responsibility, etc. |
Bernd S. W. Schröder. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
Hoboken : |
| Name of producer, publisher, distributor, manufacturer |
Wiley, |
| Date of production, publication, distribution, manufacture, or copyright notice |
c2010. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
x, 338 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc. note |
|
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
1. Logic -- 2. Set theory -- 3. Number systems I.Natural numbers -- 4.Number systems II.Integers -- 5. Number System III: Fields -- 6. Unsolvability of the Quintic by Radicals -- 7. More Axioms A historical Oveview and Commentary |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
"The foundation of mathematics is not found in a single discipline since it is a general way of thinking in a very rigorous logical fashion. This book was written especially for readers who are about to make their first contact with this very way of thinking. Chapters 1-5 provide a rigorous, self contained construction of the familiar number systems (natural numbers, integers, real, and complex numbers) from the axioms of set theory. This construction trains readers in many of the proof techniques that are ultimately used almost subconsciously. In addition to important applications, the author discusses the scientific method in general (which is the reason why civilization has advanced to today’s highly technological state), the fundamental building blocks of digital processors (which make computers work), and public key encryption (which makes internet commerce secure). The book also includes examples and exercises on the mathematics typically learned in elementary and high school. Aside from serving education majors, this further connection of abstract content to familiar ideas explains why these ideas work so well. Chapter 6 provides a condensed introduction to abstract algebra, and it fits very naturally with the idea that number systems were expanded over and over to allow for the solution of certain types of equations. Finally, Chapter 7 puts the finishing touches on the excursion into set theory. The axioms presented there do not directly impact the elementary construction of the number systems, but once they are needed in an advanced class, readers will certainly appreciate them. Chapter coverage includes: Logic; Set Theory; Number Systems I: Natural Numbers; Number Systems II: Integers; Number Systems III: Fields; Unsolvability of the Quintic by Radicals; and More Axioms"-- |
| Assigning source |
Provided by publisher. |
|
|---|
| Summary, etc. |
"The foundation of mathematics is not found in a single discipline since it is a general way of thinking in a very rigorous logical fashion. This book was written especially for readers who are about to make their first contact with this very way of thinking. Chapters 1-5 provide a rigorous, self contained construction of the familiar number systems (natural numbers, integers, real, and complex numbers) from the axioms of set theory"-- |
| Assigning source |
Provided by publisher. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Set theory |
| 9 (RLIN) |
59719 |
|
|---|
| Topical term or geographic name entry element |
Küme teorisi |
| Source of heading or term |
etuturkob |
| 9 (RLIN) |
59721 |
|
|---|
| Topical term or geographic name entry element |
Logic, Symbolic and mathematical |
| 9 (RLIN) |
1361 |
|
|---|
| Topical term or geographic name entry element |
Mantık, Sembolik ve matematiksel |
| 9 (RLIN) |
14118 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Book |
