| 000 -LEADER |
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| fixed length control field |
02048nam a2200205 4500 |
| 001 - CONTROL NUMBER |
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| control field |
vtls002388660 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MY-SjTCS |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20200306154022.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
110218s2003 njua 001 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
0130618152 |
| 039 #9 - LEVEL OF BIBLIOGRAPHIC CONTROL AND CODING DETAIL [OBSOLETE] |
|---|
| Level of rules in bibliographic description |
201910021518 |
| Level of effort used to assign nonsubject heading access points |
ummi |
| Level of effort used to assign subject headings |
201102181243 |
| Level of effort used to assign classification |
VLOAD |
| -- |
200407271937 |
| -- |
VLOAD |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
511.3 |
| Item number |
SUN |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Sundstrom, Theodore A. |
| 9 (RLIN) |
205816 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Mathematical reasoning : |
| Remainder of title |
writing and proof / |
| Statement of responsibility, etc. |
Ted Sundstrom |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Upper Saddle River, N.J. : |
| Name of publisher, distributor, etc. |
Prentice Hall, |
| Date of publication, distribution, etc. |
c2003. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiv, 435 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Preface. - 1. Introduction to writing in mathematics. 1.1. Statements. 1.2. Constructing direct proofs. - 2. Logical reasoning. 2.1. Predicates, sets, and quantifiers. 2.2. Statements and logical operators. 2.3. Logically equivalent statements. 2.4. Quantifiers and negations. - 3. Constructing and writing proofs in mathematics. 3.1. Direct proofs. 3.2. More methods of proof. 3.3. Proof by contradiction. 3.4. Using cases in proofs. 3.5. Constructive proofs. - 4. Set theory. 4.1. Operations on sets. 4.2. Proving set relationships. 4.3. Properties of set operations. 4.4. Cartesian products. - 5. Mathematical induction. 5.1. The principle of mathematical induction. 5.2. Other forms of mathematical induction. 5.3. Induction and recursion. 6. Function. 6.1. Introduction to functions. 6.2. More about functions. 6.3. Types of functions. 6.4. Composition of functions. 6.5. Inverse functions. - 7. Equivalence relations. 7.1. Relations. 7.2. Equivalence relations. 7.3. Equivalence classes. 7.4. Modular arithmetic. - 8. Topics in number theory. 8.1. The greatest common divisor. 8.2. Prime numbers and prime factorizations. 8.3. Linear diophantine equations. - 9. Topics in set theory. 9. 1. Functions acting on sets. 9.2. Finite sets. 9.3. Countable sets. 9.4. Uncountable sets. - A guidelines for writing mathematical proofs. - B. Answers and hints for selected exercises. - C. List of symbols. - Index. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Proof theory. |
| 9 (RLIN) |
7378 |
| 920 ## - Programme |
|---|
| Programme |
CIT(DIP) : 540283 |
| 999 ## - SYSTEM CONTROL NUMBERS (KOHA) |
|---|
| Koha biblionumber |
24183 |
| Koha biblioitemnumber |
24183 |
