This reference presents the proceedings of an international meeting on the occasion of theUniversity of Bologna's ninth centennial-highlighting the latest developments in the field ofgeometry and complex variables and new results in the areas of algebraic geometry,differential geometry, and analytic functions of one or several complex variables.Building upon the rich tradition of the University of Bologna's great mathematics teachers, thisvolume contains new studies on the history of mathematics, including the algebraic geometrywork of F. Enriques, B. Levi, and B. Segre ... complex function theory ideas of L. Fantappie,B. Levi, S. Pincherle, and G. Vitali ... series theory and logarithm theory contributions of P.Mengoli and S. Pincherle ... and much more. Additionally, the book lists all the University ofBologna's mathematics professors-from 1860 to 1940-with precise indications of eachcourse year by year.Including survey papers on combinatorics, complex analysis, and complex algebraic geometryinspired by Bologna's mathematicians and current advances, Geometry and ComplexVariables illustrates the classic works and ideas in the field and their influence on today'sresearch.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Maße
Höhe: 254 mm
Breite: 178 mm
Dicke: 28 mm
Gewicht
ISBN-13
978-0-8247-8445-4 (9780824784454)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
1. A Vanishing Theorem for the Cohomology of a Vector Bundle Whose Curvature Can Change Its Sign 2. Incidence Structures and Galois Geometries 3. Beltram's Operator and the Tail of the Cat 4. From Salvatore Pincherle's Operazioni Distributive to J. Ecalle's Resurgent Functions 5. Pincherle e la Teoria delle Funzioni Analitiche 6. Linear Systems: Developments of Some Results by F. Enriques and B. Segre 7. Recent Results on Irregular Surfaces and Irregular Kaehler Manifolds 8. A Few Comments on some Aspects of the Mathematical Work of E Enriques 9. Geometry and Complex Variables in the Work of Beppo Levi 10. When is a Conic Bundle Rational? 11. Quadratic Inequalities for Hilbert Transforms and Hankel Forms in the Spaces GBP2 (T) and GBP2 (B) 12. Some New Global Results in Twistor Geometry 13. Enriques Surfaces: Old and New 14. Some Connections Between Equations and Geometric Properties of Monica Ida Curves in P3 15. Biholomorphic Invariants of Real Submanifolds of Cn 16. Le Prime Ricerche di Pietro Mengoli: La Somma delle Serie 17. Composition and Fatou Limits 18. The Bernstein Theorems for the Fantappie Indicatrix and Their Applications to Mathematical Economics 19. Microlocal Analysis on Three Dimensional CR Manifolds 20. Recent Contributions to the Calculus of Finite Differences: A Survey 21. Local Differential Properties of Algebraic Surfaces: Luigi Muracchini Dipartimento di Matematica, UniversitA di Bologna 22. The Method of Holomorphic Waves and Its Applications to Partial Differential Equations 23. Ricerca Matematica e Vita Accademica a Bologna nel Secolo XVIII 24. Cauchy-Fantappie Formules in Multidimensional Complex Analysis 25. Maria Gaetana Agnesi 26. An Extension to Fantappie's Theory of Analytic Functionals 27. On B. Segre and the Theory of Polar Varieties 28. Pseudoconformal Invariants and Differential Geometry 29. Giuseppe Vitali and the Mathematical Research at Bologna 30. Contact Curves of Two Kummer Surfaces 31. Krein Spaces and Holomorphic Isometries of Cartan Domains 32. L'insegnamento della Matematica nell'Universita di Bologna dal 1860 al 1940
