1.

Record Nr.

UNISA996201331303316

Autore

Lucian

Titolo

Anacharsis or Athletics. Menippus or The Descent into Hades. On Funerals. A Professor of Public Speaking. Alexander the False Prophet. Essays in Portraiture. Essays in Portraiture Defended. The Goddesse of Surrye / / Lucian, A. M. Harmon

Pubbl/distr/stampa

Cambridge : , : Harvard University Press, , 1925

ISBN

0-674-99179-6

Descrizione fisica

1 online resource (432 pages)

Collana

Loeb classical library ; ; LCL162

Disciplina

885.01

Soggetti

Mythology, Greek - Drama

Greece Drama

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

Lucian (ca. 120-190 CE), the satirist from Samosata on the Euphrates, started as an apprentice sculptor, turned to rhetoric and visited Italy and Gaul as a successful travelling lecturer, before settling in Athens and developing his original brand of satire. Late in life he fell on hard times and accepted an official post in Egypt.  Although notable for the Attic purity and elegance of his Greek and his literary versatility, Lucian is chiefly famed for the lively, cynical wit of the humorous dialogues in which he satirises human folly, superstition and hypocrisy. His aim was to amuse rather than to instruct. Among his best works are A True Story (the tallest of tall stories about a voyage to the moon), Dialogues of the Gods (a 'reductio ad absurdum' of traditional mythology), Dialogues of the Dead (on the vanity of human wishes), Philosophies for Sale (great philosophers of the past are auctioned off as slaves), The Fisherman (the degeneracy of modern philosophers), The Carousal or Symposium (philosophers misbehave at a party), Timon (the problems of being rich), Twice Accused (Lucian's defence of his literary career) and (if by Lucian) The Ass (the amusing adventures of a man who is turned into an ass).  The Loeb Classical Library edition of Lucian is in eight volumes.



2.

Record Nr.

UNINA9910778253603321

Autore

Zalinescu C. <1952->

Titolo

Convex analysis in general vector spaces [[electronic resource] /] / C Zălinescu

Pubbl/distr/stampa

River Edge, N.J. ; ; London, : World Scientific, c2002

ISBN

981-277-709-1

Descrizione fisica

1 online resource (xx, 367 p. )

Disciplina

515/.8

Soggetti

Convex functions

Convex sets

Functional analysis

Vector spaces

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references (p. 349-357) and index.

Nota di contenuto

ch. 1. Preliminary results on functional analysis. 1.1. Preliminary notions and results. 1.2. Closedness and interiority notions. 1.3. Open mapping theorems. 1.4. Variational principles. 1.5. Exercises. 1.6. Bibliographical notes -- ch. 2. Convex analysis in locally convex spaces. 2.1. Convex functions. 2.2. Semi-continuity of convex functions. 2.3. Conjugate functions. 2.4. The subdifferential of a convex function. 2.5. The general problem of convex programming. 2.6. Perturbed problems. 2.7. The fundamental duality formula. 2.8. Formulas for conjugates and e-subdifferentials, duality relations and optimality conditions. 2.9. Convex optimization with constraints. 2.10. A minimax theorem. 2.11. Exercises. 2.12. Bibliographical notes -- ch. 3. Some results and applications of convex analysis in normed spaces. 3.1. Further fundamental results in convex analysis. 3.2. Convexity and monotonicity of subdifferentials. 3.3. Some classes of functions of a real variable and differentiability of convex functions. 3.4. Well conditioned functions. 3.5. Uniformly convex and uniformly smooth convex functions. 3.6. Uniformly convex and uniformly smooth convex functions on bounded sets. 3.7. Applications to the geometry of normed spaces. 3.8. Applications to the best approximation problem. 3.9. Characterizations of convexity in terms of smoothness. 3.10. Weak sharp minima, well-behaved functions and global error bounds for



convex inequalities. 3.11. Monotone multifunctions. 3.12. Exercises. 3.13. Bibliographical notes.

Sommario/riassunto

This text seeks to present the conjugate and sub/differential calculus using the method of perturbation functions in order to obtain the most general results in this field. Its secondary aim is to provide important applications of this calculus and of the properties of convex functions.