Résumé
Maddox methodically builds toward a thorough understanding of the proof process, demonstrating and encouraging mathematical thinking along the way. Skillful use of analogy clarifies abstract ideas. Clearly presented methods of mathematical precision provide an understanding of the nature of mathematics and its defining structure.
After mastering the art of the proof process, the reader may pursue two independent paths. The latter parts are purposefully designed to rest on the foundation of the first, and climb quickly into analysis or algebra. Maddox addresses fundamental principles in these two areas, so that readers can apply their mathematical thinking and writing skills to these new concepts. From this exposure, readers experience the beauty of the mathematical landscape and further develop their ability to work with abstract ideas.
Contents
- Chapter o Notation and Assuptions
- Part I Foundations of logic and proof writing
- Chapter 1 Logic
- Chapter 2 Beginner-Level Proof
- Chapter 3 Functions
- Part II Basic principales of analysis
- Chapter 4 The Real Numbers
- Chapter 5 Functions of a Real Variable
- Part III Basic principales of algebra
- Chapter 6 Groups
- Chapter 7 Rings
- Index
Caractéristiques techniques
| PAPIER | |
| Éditeur(s) | Harcourt |
| Auteur(s) | Randall A. Maddox |
| Parution | 15/08/2001 |
| Nb. de pages | 304 |
| Format | 19 x 24 |
| Couverture | Relié |
| Poids | 703g |
| Intérieur | Noir et Blanc |
| EAN13 | 9780124649767 |
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