The foundations of mathematics / (Record no. 1799)
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
|---|---|
| fixed length control field | 091122s2009 njua 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780470085011 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Sirsi) u2730 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | EG-CaNU |
| Transcribing agency | EG-CaNU |
| Modifying agency | EG-CaNU |
| 042 ## - AUTHENTICATION CODE | |
| Authentication code | ncode |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 |
| Edition number | 22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sibley, Thomas Q. |
| 9 (RLIN) | 5109 |
| 245 14 - TITLE STATEMENT | |
| Title | The foundations of mathematics / |
| Statement of responsibility, etc. | Thomas Q. Sibley. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. | |
| Place of publication, distribution, etc. | Hoboken, NJ : |
| Name of publisher, distributor, etc. | John Wiley & Sons, |
| Date of publication, distribution, etc. | c2009. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xv, 392 p. : |
| Other physical details | ill. ; |
| Dimensions | 25 cm. |
| 500 ## - GENERAL NOTE | |
| General note | Includes index |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | PART I Chapter 1: LANGUAGE, LOGIC, AND SETS 1.1 Logic and Language 1.2 Implication 1.3 Quantifiers and Definitions 1.4 Introduction to Sets 1.5 Introduction to Number Theory 1.6 Additional Set Theory Definitions from Chapter 1 Algebraic and Order Properties of Number Systems Chapter 2: PROOFS 2.1 Proof Format I: Direct Proofs 2.2 Proof Format II: Contrapositive and Contradition 2.3 Proof Format III: Existence, Uniqueness, Or 2.4 Proof Format IV: Mathematical Induction The Fundamental Theorem of Arithmetic 2.5 Further Advice and Practice in Proving Proof Formats Chapter 3: FUNCTIONS 3.1 Definitions 3.2 Composition, One-to-One, Onto, and Inverses 3.3 Images and Pre-Images of Sets Definitions from Chapter 3 Chapter 4: RELATIONS 4.1 Relations 4.2 Equivalence Relations 4.3 Partitions and Equivalence Relations 4.4 Partial Orders Definitions from Chapter 4 PART II Chapter 5: INFINTE SETS 5.1 The Sizes of Sets 5.2 Countable Sets 5.3 Uncountable Sets 5.4 The Axiom of Choice and Its Equivalents Definitions from Chapter 5 Chapter 6: INTRODUCTION TO DISCRETE MATHEMATICS 6.1 Graph Theory 6.2 Trees and Algorithms 6.3 Counting Principles I 6.4 Counting Principles II Definitions from Chapter 6 Chapter 7: INTRODUCTION TO ABSTRACT ALGEBRA 7.1 Operations and Properties 7.2 Groups Groups in Geometry 7.3 Rings and Fields 7.4 Lattices 7.5 Homomorphisms Definitions from Chapter 7 Chapter 8: INTRODUCTION TO ANALYSIS 8.1 Real Numbers, Approximations, and Exact Values Zeno's Paradoxes 8.2 Limits of Functions 8.3 Continuous Functions and Counterexamples Counterexamples in Rational Analysis 8.4 Sequences and Series 8.5 Discrete Dynamical Systems The Intermediate Value Theorem Definitions for Chapter 8 Chapter 9: METAMATHEMATICS AND THE PHILOSOPHY OF MATHEMATICS 9.1 Metamathematics 9.2 The Philosophy of Mathematics Definitions for Chapter 9 Appendix: THE GREEK ALPHABET Answers: SELECTED ANSWERS Index List of Symbols |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | Finally there's an easy-to-follow book that will help readers succeed in the art of proving theorems. Sibley not only conveys the spirit of mathematics but also uncovers the skills required to succeed. Key definitions are introduced while readers are encouraged to develop an intuition about these concepts and practice using them in problems. |
| 596 ## - | |
| -- | 1 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics. |
| 9 (RLIN) | 5110 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Logic. |
| 9 (RLIN) | 5111 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Calculus. |
| 9 (RLIN) | 70 |
| Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Total Checkouts | Total Renewals | Full call number | Barcode | Date last seen | Date last checked out | Copy number | Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Dewey Decimal Classification | Main library | Main library | General Stacks | 01/26/2020 | ACA-P | 3 | 1 | 510 SI.F / 2009 | 004636 | 09/29/2025 | 07/20/2025 | 1 | 11/24/2019 | Books |