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In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math"--groups, sets, subsets, topology, Boolean algebra, and more. By the time readers finish this book, they shall have a much clearer grasp of how modern mathematicians look at figures, function, and formulas, leading them to a better comprehension of the nature of the mathematics itself.
In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts underlying "new math"--groups, sets, subsets, topology, Boolean algebra, and more. By the time readers finish this book, they shall have a much clearer grasp of how modern mathematicians look at figures, function, and formulas, leading them to a better comprehension of the nature of the mathematics itself.
Inhaltsverzeichnis
Preface to the Dover Edition
Preface to the First Edition
1. Mathematics in General
2. Motion without Movement
3. Short Cuts in the Higher Arithmetic
4. The Language of Sets
5. What is a Function?
6. The Beginnings of Abstract Algebra
7. Symmetry: The Group Concept
8. Axiomatics
9. Counting: Finite and Infinite
10. Topology
11. The Power of Indirect Thinking
12. Topological Invariants
13. Algebraic Topology
14. Into Hyperspace
15. Linear Algebra
16. Real Analysis
17. The Theory of Probability
18. Computers and Their Uses
19. Applications of Modern Mathematics
20. Foundations
Appendix
Notes
Glossary of Symbols
Index
Preface to the First Edition
1. Mathematics in General
2. Motion without Movement
3. Short Cuts in the Higher Arithmetic
4. The Language of Sets
5. What is a Function?
6. The Beginnings of Abstract Algebra
7. Symmetry: The Group Concept
8. Axiomatics
9. Counting: Finite and Infinite
10. Topology
11. The Power of Indirect Thinking
12. Topological Invariants
13. Algebraic Topology
14. Into Hyperspace
15. Linear Algebra
16. Real Analysis
17. The Theory of Probability
18. Computers and Their Uses
19. Applications of Modern Mathematics
20. Foundations
Appendix
Notes
Glossary of Symbols
Index
Details
Erscheinungsjahr: | 2000 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Seiten: | 352 |
Reihe: | Dover Books on Mathema 1.4tics |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486284248 |
ISBN-10: | 0486284247 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Stewart, Ian |
Auflage: | Revised ed |
Hersteller: |
Dover Publications Inc.
Dover Books on Mathema 1.4tics |
Abbildungen: | Illustrations, unspecified |
Maße: | 213 x 132 x 19 mm |
Von/Mit: | Ian Stewart |
Erscheinungsdatum: | 01.02.2000 |
Gewicht: | 0,358 kg |
Inhaltsverzeichnis
Preface to the Dover Edition
Preface to the First Edition
1. Mathematics in General
2. Motion without Movement
3. Short Cuts in the Higher Arithmetic
4. The Language of Sets
5. What is a Function?
6. The Beginnings of Abstract Algebra
7. Symmetry: The Group Concept
8. Axiomatics
9. Counting: Finite and Infinite
10. Topology
11. The Power of Indirect Thinking
12. Topological Invariants
13. Algebraic Topology
14. Into Hyperspace
15. Linear Algebra
16. Real Analysis
17. The Theory of Probability
18. Computers and Their Uses
19. Applications of Modern Mathematics
20. Foundations
Appendix
Notes
Glossary of Symbols
Index
Preface to the First Edition
1. Mathematics in General
2. Motion without Movement
3. Short Cuts in the Higher Arithmetic
4. The Language of Sets
5. What is a Function?
6. The Beginnings of Abstract Algebra
7. Symmetry: The Group Concept
8. Axiomatics
9. Counting: Finite and Infinite
10. Topology
11. The Power of Indirect Thinking
12. Topological Invariants
13. Algebraic Topology
14. Into Hyperspace
15. Linear Algebra
16. Real Analysis
17. The Theory of Probability
18. Computers and Their Uses
19. Applications of Modern Mathematics
20. Foundations
Appendix
Notes
Glossary of Symbols
Index
Details
Erscheinungsjahr: | 2000 |
---|---|
Genre: | Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Seiten: | 352 |
Reihe: | Dover Books on Mathema 1.4tics |
Inhalt: | Kartoniert / Broschiert |
ISBN-13: | 9780486284248 |
ISBN-10: | 0486284247 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: | Stewart, Ian |
Auflage: | Revised ed |
Hersteller: |
Dover Publications Inc.
Dover Books on Mathema 1.4tics |
Abbildungen: | Illustrations, unspecified |
Maße: | 213 x 132 x 19 mm |
Von/Mit: | Ian Stewart |
Erscheinungsdatum: | 01.02.2000 |
Gewicht: | 0,358 kg |
Warnhinweis