Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics - Brossura

Waismann, Friedrich

Brossura

ISBN 10: 0486428044 ISBN 13: 9780486428048

Casa editrice: Dover Pubns, 2003

Riassunto

Contents include examinations of arithmetic and geometry; the rigorous construction of the theory of integers; the rational numbers and their foundation in arithmetic; and the rigorous construction of elementary arithmetic. Advanced topics encompass the principle of complete induction; the limit and point of accumulation; and more. Includes 27 figures. Index. 1959 edition.

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Contenuti

Foreward Author's Preface 1. The Various Types of Numbers 2. Criticism of the Extension of Numbers 3. Arithmetic and Geometry 4. The Rigorous Construction of the Theory of Integers 5. The Rational Numbers 6. Foundation of the Arithmetic of Natural Numbers 7. Rigorous Construction of Elementary Arithmetic 8. The Principle of Complete Induction 9. Present Status of the Investigation of the Foundations A. Formalism B. The Logical School C. Outlook 10. Limit and Point of Accumulation 11. Operating with Sequences. Differential Quotient 12. Remarkable Curves Appendix: What is Geometry? 13. The Real Numbers A. Cantor's Theory B. Dedekind's Theory C. Comparison of the Two Theories D. Uniqueness of the Real Number System E. Various Remarks 14. Ultrareal Numbers 15. Complex and Hypercomplex Numbers 16. Inventing or Discovering Epilogue Index

Product Description

Book by Waismann Friedrich

Dettagli dell?edizione

• Editore: Dover Pubns
• Data di pubblicazione: 2003
• ISBN 10: 0486428044
• ISBN 13: 9780486428048
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 260