1984, ISBN: 9780387960302

InhaltsangabeI: Childhood and Education. Biography: 1850-1874. Kovalevskaya's Ancestors. Kovalevskaya's Family. Kovalevskaya's Uncles. Early Mathematical Training. In Search of Higher Edu… Mehr…

InhaltsangabeI: Childhood and Education. Biography: 1850-1874. Kovalevskaya's Ancestors. Kovalevskaya's Family. Kovalevskaya's Uncles. Early Mathematical Training. In Search of Higher Education. Online-Buchhandel Tel.: [Telefonnummer von eBay entfernt] [E-Mail von eBay entfernt]   The Mathematics of Sonya Kovalevskaya von R. Cooke Art Nr.: 0387960309 ISBN 13: 9780387960302 Release Year: 1984 Published by: Springer New York Edition: Buch Cover: Buch Cover Format: 241x160x19 mm Pages: 260 Weight: 559 g Language: Englisch Author: R. Cooke NEUWARE - Portofrei innerhalb Deutschlands! Alle Artikel werden von uns professionell verpackt, so dass die Beschädigungsgefahr beim Versand minimiert wird. Description This book is the result of a decision taken in 1980 to begin studying the history of mathematics in the nineteenth century. I hoped by doing it to learn some thing of value about Kovalevskaya herself and about the mathematical world she inhabited. Having been trained as a mathematician, I also hoped to learn something about the proper approach to the history of the subject. The decision to begin the study with Kovalevskaya, apart from the intrinsic interest of Kovalevskaya herself, was primarily based upon the fact that the writing on her in English had been done by people who were interested in sociological and psychological aspects of her life. None of these writings discussed her mathematical work in much detail. This omission seemed to me a serious one in biographical studies of a woman whose primary significance was her mathematical work. In regard to both the content of nineteenth century mathematics and the nature of the history of mathematics I learned a great deal from writing this book. The attempt to put Kovalevskaya's work in historical context involved reading dozens of significant papers by great mathematicians. In many cases, I fear, the purport of these papers is better known to many of my readers than to me. If I persevered despite misgivings, my excuse is that this book is, after all, primarily about Kovalevskaya. If specialists in Euler, Cauchy, etc. Information of Author InhaltsangabeI: Childhood and Education.- 1. Biography: 1850-1874.- 1.1. Introduction.- 1.2. Kovalevskaya's Ancestors.- 1.3. Kovalevskaya's Family.- 1.4. Kovalevskaya's Uncles.- 1.5. Aniuta.- 1.6. Early Mathematical Training.- 1.7. In Search of Higher Education.- 1.8. Vladimir Kovalevsky.- 1.9. Study Abroad.- 1.10. Weierstrass.- 1.11. Kovalevskaya and Weierstrass.- 2. Partial Differential Equations.- 2.1. Introduction.- 2.2. Differential Equations in the Complex Domain.- 2.3. The Year 1842: Cauchy.- 2.4. The Year 1842: Weierstrass.- 2.5. The Problem Posed to Kovalevskaya.- 2.6. Kovalevskaya's Paper.- 2.7. Unpublished Work.- 2.8. Publishing the Result.- 2.9. Evaluation of the Work.- 3. Degenerate Abelian Integrals.- 3.1. Introduction.- 3.2. Euler.- 3.3. Legendre.- 3.4. Abel.- 3.5. Cauchy.- 3.6. Jacobi.- 3.7. Göpel and Rosenhain.- 3.8. Weierstrass' Early Work.- 3.9. Hermite.- 3.10. Riemann.- 3.11. Weierstrass' Later Work.- 3.12. Kovalevskaya's Paper.- 3.13. Evaluation.- 4. The Shape of Saturn's Rings.- 4.1. Introduction.- 4.2. Laplace's Work: Physical Assumptions.- 4.3. Laplace's Work: Mathematical Assumptions.- 4.4. The Potential of the Ring.- 4.5. Final Computations.- 4.6. Extensions.- 4.7. Reformulation of the Problem.- 4.8. Kovalevskaya's Method.- 4.9. Execution of the Program.- 4.10. Significance of the Paper.- 4.11. Personal Notes.- II: Mature Life.- 5. Biography: 1875-1891.- 5.1. Return to Russia.- 5.2. Mittag-Leffler.- 5.3. The Year 1880.- 5.4. A New Project.- 5.5. Crisis.- 5.6. The Year 1883.- 5.7. Stockholm.- 5.8. The Academic Year 1884-85.- 5.9. The Academic Year 1885-86.- 5.10. Life as an Untenured Professor.- 5.11. New Distractions.- 5.12. The Bordin Competition.- 5.13. Reactions.- 5.14. Final Days.- 6. The Lamé Equations.- 6.1. Introduction.- 6.2. Huyghens.- 6.3. Fresnel.- 6.4. Lamé.- 6.5. Weierstrass.- 6.6. Kovalevskaya.- 7. The Euler Equations.- 7.1. Introduction.- 7.2. Euler.- 7.3. Lagrange.- 7.4. Some Nineteenth-Century Work.- 7.5. Weierstrass.- 7.6. The Mathematical Mermaid.- 7.7. Kovalevskaya.- 7.8. Conclusions.- 7.9. Klein.- 7.10. Evaluation.- 8. Bruns' Theorem.- 8.1. Introduction.- 8.2. Kovalevskaya's Paper.- 8.3. Commentary.- 9. Evaluations.- 9.1. Introduction.- 9.2. Poincaré.- 9.3. Markov.- 9.4. Kovalevskaya.- 9.5. The Moscow Mathematicians.- 9.6. Volterra.- 9.7. Women in Mathematics.- 9.8. Loria.- 9.9. Mittag-Leffler.- 9.10. Klein.- 9.11. Golubev.- 9.12. Kovalevskaya as a Mathematician.- III: Appendices and Bibliography.- Appendices.- Appendix 1. The Method of Majorants.- Appendix 2. Some Complex Analysis.- Appendix 3. Weierstrass' Formula.- Appendix 4. Derivation of Euler's Equations.- Appendix 5. Calculus of Variations.- Appendix 6. Jacobi's Last-Multiplier Method. Über Uns | AGB Powered by INFORIUS , Festpreisangebot, [LT: FixedPrice], Seiten: 260, Gewicht: 559, Einband: Buch, Marke: Springer New York, Fachbereich: Hardcover/Geisteswissenschaften, Kunst, Musik/Sprachwissenscha... Publikationstitel: The Mathematics of Sonya Kovalevskaya, Produktart: Bücher, Publikationsname: The Mathematics of Sonya Kovalevskaya, EAN: 9780387960302, Format: Gebundene Ausgabe, Anzahl der Seiten: 260 Seiten, Sprache: Englisch, Buchtitel: The Mathematics of Sonya Kovalevskaya, Springer Us, Springer New York, 1984<

1984, ISBN: 9780387960302

Buch, Hardcover, 1984 ed. [PU: Springer-Verlag New York Inc.], Springer-Verlag New York Inc., 1984