Dynamics in one complex variable [[electronic resource] /] / by John Milnor

• Record Nr.: UNINA9910458985103321
• Autore: Milnor John W (John Willard), <1931->
• Pubbl/distr/stampa: Princeton, N.J., : Princeton University Press, 2006
• ISBN: 1-283-00148-9; 9786613001481; 1-4008-3553-4
• Edizione: [3rd ed.]
• Descrizione fisica: 1 online resource (313 p.)
• Collana: Annals of mathematics studies ; ; no. 160
• Disciplina: 515.93; 515/.93
• Soggetti: Functions of complex variables; Holomorphic mappings; Riemann surfaces; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 277-291) and index.
• Nota di contenuto: Frontmatter -- Table Of Contents -- List of Figures -- Preface to the Third Edition -- Chronological Table -- Riemann Surfaces -- Iterated Holomorphic Maps -- Local Fixed Point Theory -- Periodic Points: Global Theory -- Structure of the Fatou Set -- Using the Fatou Set to Study the Julia Set -- Appendix A. Theorems from Classical Analysis -- Appendix B. Length-Area-Modulus Inequalities -- Appendix C. Rotations, Continued Fractions, and Rational Approximation -- Appendix D. Two or More Complex Variables -- Appendix E. Branched Coverings and Orbifolds -- Appendix F. No Wandering Fatou Components -- Appendix G. Parameter Spaces -- Appendix H. Computer Graphics and Effective Computation -- References -- Index
• Sommario/riassunto: This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of ; two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattés map has been made more inclusive, and the écalle-Voronin theory of parabolic points is described. The résidu itératif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.

Andreia [[electronic resource] ] : studies in manliness and courage in classical antiquity / / edited by Ralph M. Rosen and Ineke Sluiter

• Record Nr.: UNISA996237243903316
• Pubbl/distr/stampa: Leiden ; ; Boston : , : Brill, , 2003
• ISBN: 1-280-46457-7; 9786610464579; 1-4175-0675-X; 90-474-0073-9
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (368 pages)
• Collana: Mnemosyne, bibliotheca classica Batava. Supplementum, , 0169-8958 ; ; 238
• Altri autori (Persone): RosenRalph Mark; SluiterI (Ineke)
• Disciplina: 482
• Soggetti: Andreia (The Greek word); Classical literature - History and criticism; Greek language - Semantics; Masculinity; Civilization, Classical; Courage
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Consists of a collection of papers presented at the first Penn-Leiden Colloquium on Ancient Values, held in June 2000 at the University of Leiden.
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: Preliminary Material / RALPH M. ROSEN and INEKE SLUITER -- GENERAL INTRODUCTION / Ineke Sluiter and Ralph M. Rosen -- THE SEMANTICS OF MANLINESS IN ANCIENT GREECE / Karen Bassi -- THE ANDREIA OF XENOCLES: KOUROS, KALLOS AND KLEOS / G. I. C. Robertson -- MARVELOUS ANDREIA: POLITICS, GEOGRAPHY, AND ETHNICITY IN HERODOTUS' HISTORIES / Sarah E. Harrell -- THE ANDREIA OF THE HIPPOCRATIC PHYSICIAN AND THE PROBLEM OF INCURABLES / Ralph M. Rosen and Manfred Horstmanshoff -- “MOST CITIZENS ARE EURUPRÔKTOI NOW”: (UN)MANLINESS IN ARISTOPHANES / Adriaan Rademaker -- THE RHETORIC OF COURAGE IN THE ATHENIAN ORATORS / Joseph Roisman -- THE HIGH COST OF ANDREIA AT ATHENS / Edward E. Cohen -- THE ORDEAL OF THE DIVINE SIGN: DIVINATION AND MANLINESS IN ARCHAIC AND CLASSICAL GREECE / Peter T. Struck -- ARISTOTLE ON ANDREIA, DIVINE AND SUB-HUMAN VIRTUES / Marguerite Deslauriers -- PARADOXICAL ANDREIA: SOCRATIC ECHOES IN STOIC ‘MANLY COURAGE’ / Helen Cullyer -- ROMAN MEN AND GREEK VIRTUE / Myles McDonnell -- ATHLETICS, ANDREIA AND THE ASKÊSIS-CULTURE IN THE ROMAN EAST / Onno van Nijf -- LIKE THE LABORS OF HERACLES: ANDREIA AND PAIDEIA IN GREEK CULTURE UNDER ROME / Joy Connolly -- PLUTARCH'S MANLY WOMEN / Jerenny McInerney -- I INDEX OF GREEK TERMS / RALPH M. ROSEN and INEKE SLUITER -- SUPPLEMENTS TO MNEMOSYNE / J. M. BREMER , L. F. JANSSEN , H. PINKSTER , H. W. PLEKET , C. J. RUIJGH and P. H. SCHRIJVERS.
• Sommario/riassunto: This volume examines the use of a central concept in the self-definition of any Greek speaking male: Andreia , the notion of courage and manliness. The nature and use of value terms quickly leads the researcher to core issues of cultural identity: through a combination of lexical or semantic and conceptual studies the discourse of manliness and its role in the construction of social order is studied, in a variety of authors, genres, and communicative situations. This book is of interest to students of the classical world, the history of values, gender studies, and cultural historians.