Real analysis : a historical approach /

• Κύριος συγγραφέας: Stahl, Saul
• Μορφή: Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Hoboken, NJ : Wiley, [2011]
• Έκδοση: 2nd ed.
• Σειρά: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
• Θέματα: Mathematical analysis.; Functions of real variables.; MATHEMATICS > Calculus.; MATHEMATICS > Mathematical Analysis.; Electronic resource.; Electronic books.

A provocative look at the tools and history of real analysis. This new edition of "Real Analysis: A Historical Approach " continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily m...

Πίνακας περιεχομένων:

• Archimedes and the Parabola
• Fermat, Differentiation, and Integration
• Newton's Calculus (Part 1)
• Newton's Calculus (Part 2)
• Euler
• The Real Numbers
• Sequences and Their Limits
• The Cauchy Property
• The Convergence of Infinite Series
• Series of Functions
• Continuity
• Differentiability
• Uniform Convergence
• The Vindication
• The Riemann Integral
• Appendix A: Excerpts from 'Quadrature of the Parabola' by Archimedes
• Appendix B: On a Method for the Evaluation of Maxima and Minima by Pierre de Fermat
• Appendix C: From a Letter to Henry Oldenburg on the Binomial Series (June 13, 1676) by Isaac Newton
• Appendix D: From a Letter to Henry Oldenburg on the Binomial Series (October 24, 1676) by Isaac Newton
• Appendix E: Excerpts from 'Of Analysis by Equations of an Infinite Number of Terms' by Isaac Newton
• Appendix F: Excerpts from 'Subsiduum Calculi Sinuum' by Leonhard Euler
• Solutions to Selected Exercises.