MARC details
| 000 -LEADER |
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| fixed length control field |
03897nam a2200373 4500 |
| 001 - CONTROL NUMBER |
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| control field |
OTLid0000007 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20201105133250.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180907s2013 mnu o 0 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
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| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA37.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hammack, Richard |
| Relator term |
author |
| 245 00 - TITLE STATEMENT |
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| Title |
Book of Proof |
| Statement of responsibility, etc. |
Richard Hammack |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
Third Edition |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Richard Hammack |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
I Fundamentals -- 1. Sets -- 2. Logic -- 3. Counting -- II How to Prove Conditional Statements -- 4. Direct Proof -- 5. Contrapositive Proof -- 6. Proof by Contradiction -- III More on Proof -- 7. Proving Non-Conditional Statements -- 8. Proofs Involving Sets -- 9. Disproof -- 10. Mathematical Induction -- IV Relations, Functions and Cardinality -- 11. Relations -- 12. Functions -- 13. Proofs in Calculus -- 14. Cardinality of Sets |
| 520 0# - SUMMARY, ETC. |
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| Summary, etc. |
This is a book about how to prove theorems. Until this point in your education, you may have regarded mathematics primarily as a computational discipline. You have learned to solve equations, compute derivatives and integrals, multiply matrices and find determinants; and you have seen how these things can answer practical questions about the real world. In this setting, your primary goal in using mathematics has been to compute answers. But there is another approach to mathematics that is more theoretical than computational. In this approach, the primary goal is to understand mathematical structures, to prove mathematical statements, and even to invent or discover new mathematical theorems and theories. The mathematical techniques and procedures that you have learned and used up until now have their origins in this theoretical side of mathematics. For example, in computing the area under a curve, you use the fundamental theorem of calculus. It is because this theorem is true that your answer is correct. However, in your calculus class you were probably far more concerned with how that theorem could be applied than in understanding why it is true. But how do we know it is true? How can we convince ourselves or others of its validity? Questions of this nature belong to the theoretical realm of mathematics. This book is an introduction to that realm. This book will initiate you into an esoteric world. You will learn and apply the methods of thought that mathematicians use to verify theorems,explore mathematical truth and create new mathematical theories. This will prepare you for advanced mathematics courses, for you will be better able to understand proofs, write your own proofs and think critically and inquisitively about mathematics. This text has been used in classes at:Virginia Commonwealth University, Lebanon Valley College, University of California - San Diego, Colorado State University, Westminster College, South Dakota State University, PTEK College - Brunei, Christian Brothers High School, University of Texas Pan American, Schola Europaea, James Madison University, Heriot-Watt University, Prince of Songkla University, Queen Mary University of London, University of Nevada - Reno, University of Georgia - Athens, Saint Peter's University, California State University,Bogaziçi University, Pennsylvania State University, University of Notre Dame |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
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| Copyright statement |
Attribution-NoDerivs |
| 546 ## - LANGUAGE NOTE |
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| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on print resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| Form subdivision |
Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/7">https://open.umn.edu/opentextbooks/textbooks/7</a> |
| Public note |
Access online version |
