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Beschreibung
Spivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real analysis.
Spivak's celebrated Calculus is ideal for mathematics majors seeking an alternative to doorstop textbooks and formidable introductions to real analysis.
Inhaltsverzeichnis
Preface; Part I. Prologue: 1. Basic properties of mumbers; 2. Numbers of various sorts; Part II. Foundations: 3. Functions; 4. Graphs; 5. Limits; 6. Continuous functions; 7. Three hard theorems; 8. Least upper bounds; Part III. Derivatives and Integrals: 9. Derivatives; 10. Differentiation; 11. Significance of the derivative; 12. Inverse functions; 13. Integrals; 14. The fundamental theorem of calculus; 15. The trigonometric functions; 16. Pi is irrational; 17. Planetary motion; 18. The logarithm and exponential functions; 19. Integration in elementary terms; Part IV. Infinite Sequences and Infinite Series: 20. Approximation by polynomial functions; 21. e is transcendental; 22. Infinite sequences; 23. Infinite series; 24. Uniform convergence and power series; 25. Complex numbers; 26. Complex functions; 27. Complex power series; Part V. Epilogue: 28. Fields; 29. Construction of the real numbers; 30. Uniqueness of the real numbers; Suggested reading; Answers (to selected problems); Glossary of symbols; Index.
Details
Erscheinungsjahr: 2006
Fachbereich: Analysis
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: Gebunden
ISBN-13: 9780521867443
ISBN-10: 0521867444
Sprache: Englisch
Einband: Gebunden
Autor: Spivak, Michael
Hersteller: Cambridge University Press
Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße: 286 x 221 x 41 mm
Von/Mit: Michael Spivak
Erscheinungsdatum: 08.06.2006
Gewicht: 1,952 kg
Artikel-ID: 102196767

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