MARC details
| 000 -LEADER |
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03590nam a22004337a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
0077605 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
BD-SySUS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20230615095419.0 |
| 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 |
120919s2013 xxu| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781461436317 |
| 024 7# - OTHER STANDARD IDENTIFIER |
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| Standard number or code |
10.1007/978-1-4614-3631-7 |
| Source of number or code |
doi |
| 040 ## - CATALOGING SOURCE |
|---|
| Original cataloging agency |
BD-SySUS |
| Transcribing agency |
BD-SySUS |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA1-939 |
| 072 #7 - SUBJECT CATEGORY CODE |
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| Subject category code |
PB |
| Source |
bicssc |
|
|---|
| Subject category code |
MAT000000 |
| Source |
bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
510 |
| Edition number |
23 |
| Item number |
CUL |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Cunningham, Daniel W. |
| Relator term |
author. |
| 9 (RLIN) |
62123 |
| 245 12 - TITLE STATEMENT |
|---|
| Title |
A Logical Introduction to Proof |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Daniel W. Cunningham. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Place of production, publication, distribution, manufacture |
New York, NY : |
| Name of producer, publisher, distributor, manufacturer |
Springer New York : |
| -- |
Imprint: Springer, |
| Date of production, publication, distribution, manufacture, or copyright notice |
2013. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XVI, 356 p. |
| Other physical details |
online resource. |
| 336 ## - CONTENT TYPE |
|---|
| 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 |
|---|
| File type |
text file |
| Encoding format |
PDF |
| Source |
rda |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface -- The Greek Alphabet -- 1. Propositional Logic -- 2. Predicate Logic -- 3. Proof Strategies and Diagrams -- 4. Mathematical Induction -- 5. Set Theory -- 6. Functions -- 7. Relations -- 8. Core Concepts in Abstract Algebra -- 9. Core Concepts in Real Analysis -- A Summary of Strategies -- References -- List of Symbols. Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
A Logical Introduction to Proof is a unique textbook that uses a logic-first approach to train and guide undergraduates through a transition or “bridge” course between calculus and advanced mathematics courses. The author’s approach prepares the student for the rigors required in future mathematics courses and is appropriate for majors in mathematics, computer science, engineering, as well as other applied mathematical sciences. It may also be beneficial as a supplement for students at the graduate level who need guidance or reference for writing proofs. Core topics covered are logic, sets, relations, functions, and induction, where logic is the instrument for analyzing the structure of mathematical assertions and is a tool for composing mathematical proofs. Exercises are given at the end of each section within a chapter. Chapter 1 focuses on propositional logic while Chapter 2 is devoted to the logic of quantifiers. Chapter 3 methodically presents the key strategies that are used in mathematical proofs; each presented as a proof diagram. Every proof strategy is carefully illustrated by a variety of mathematical theorems concerning the natural, rational, and real numbers. Chapter 4 focuses on mathematical induction and concludes with a proof of the fundamental theorem of arithmetic. Chapters 5 through 7 introduce students to the essential concepts that appear in all branches of mathematics. Chapter 8 introduces the basic structures of abstract algebra: groups, rings, quotient groups, and quotient rings. Finally, Chapter 9 presents proof strategies that explicitly show students how to deal with the fundamental definitions that they will encounter in real analysis, followed by numerous examples of proofs that use these strategies. The appendix provides a useful summary of strategies for dealing with proofs. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 9 (RLIN) |
62124 |
|
|---|
| Topical term or geographic name as entry element |
Mathematical logic. |
| 9 (RLIN) |
62125 |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
| 9 (RLIN) |
62126 |
|
|---|
| Topical term or geographic name as entry element |
Mathematics, general. |
| 9 (RLIN) |
62127 |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Logic and Foundations. |
| 9 (RLIN) |
62128 |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 9 (RLIN) |
62129 |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Relationship information |
Printed edition: |
| International Standard Book Number |
9781461436300 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="http://dx.doi.org/10.1007/978-1-4614-3631-7">http://dx.doi.org/10.1007/978-1-4614-3631-7</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
