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Introduction to abstract mathematics
Introduction to Abstract Mathematics.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York, New York :
Academic Press,
[1971]
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Introduction toAbstract Mathematics; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; ChapterI. Logic and Set Theory; 1.1 Introduction; 1.2 Statements and Open Sentences; 1.3 Sets; 1.4 Ordered Pairs and Relations; 1.5 Functions and Kindred Matters; 1.6 Axiom Systems and Methods of Proof; ChapterII. The Natural Numbers; 2.1 Introduction; 2.2 Arithmetic; 2.3 Ordering; ChapterIII. The Integers and the Rational Numbers; 3.1 Introduction; 3.2 Preliminaries; 3.3 Additional Topics; 3.4 The Rational Numbers and Ordered Fields
- ChapterIV. The Real and Complex Numbers4.1 Introduction; 4.2 Construction of R; ChapterV. Metric Spaces; 5.1 Introduction; 5.2 Definition and Basic Properties; 5.3 Openness, Closedness, and Neighborhood Systems; 5.4 Continuous Functions; ChapterVI. Limits; 6.1 Introduction; 6.2 Generalized Limits; 6.3 Some Examples; References; Answers to Selected Exercises; Subject Index