pierre fatou (7 resultados)

Condición: Neuf.

Condición: new. vendeur professionnel. Expedition en 24/48h.

Softcover. Condición: Gut. 2nd ed. Paris, Gauthier-Villars 1929-30. gr.8°. 78, 52 figs. XXXV, 526; XIV, 521 p. Pbck. (slightly browned, unopend, volume I spine ends with small tear).- DSB I, 195.- I: Etude des fonctions analytiques sur une surface de Riemann.- II: Fonctions automorphes.- Throughout slightly browned, otherwise inside in good condition.

rigide. Condición: Assez bon. 3 fort et grand vol. in-4 reliure éditeur demi-chagrin vert, Librairie Schwarz, Paris, s.d. (circa 1920), 416 pp. (pagination suivie) avec très nombreuses planches en hors texte (souvent par Charles Fouqueray), texte et légende des planches et table générale des matières en sus. Rappel des Titres : Tome I : Les prodromes de la guerre. L'aventure du "Goeben" et du "Breslau" (du 2 août au 10 août 1914). Les opérations maritimes dans l'Océan, la Mer du Nord et les océans lointains ; Tome II : La Stratégie navale britannique. Le plan de guerre britannique (Amiral Ratyé) - Les Opérations en Méditerranée sous le Commandement du Vice-Amiral Boué de Lapeyrère 12 août 1914 - 14 octobre 1915 (Amiral Salaun) - L'expédition des Dardanelles (août 1914 - Janvier 1916) (Amiral Dumesnil) ; Tome III : La guerre sur les théatres d'opérations extérieurs (Amiral Docteur) - Intervention de l'Italie (Amiral Lacaze) - La Guerre Navale dans l'Adriatique (Amiral Frochot) - La Bataille du Jutland (Amiral Grasset) - Les Opérations en Méditerranée sous le commandement de l'Amiral Dartige du Fournet (octobre 1915 - décembre 1916) (Amiral Fatou) - Les Opérations en Méditerranée sous le commandement de l'Amiral Gauchet (Décembre 1916 - Novembre 1918) (Amiral Varney) - Les canonniers marins sur le front des armées (Amiral Jehenne) - Les fusiliers marins au Front des Flandres (Amiral Ronarc'h) Etat très satisfaisant (qq. petits frott. et petites traces d'usage) pour les 3 premiers tomes de cette belle publication, richement illustrée. Langue: Français.

Soft cover. Condición: Very Good. 1st Edition. First edition, exceptionally rare offprint, and an inscribed presentation copy, of the foundation work of complex dynamics. Although isolated examples had been found earlier, this work provided the first large family of examples of fractals. Fatou (1878-1929) and Gaston Julia (1893-1978), independently but simultaneously, studied the iteration of a function f of a complex variable z, i.e., f(z), f(f(z)), f(f(f(z))), . . . The 'Fatou set' of f consists of the values of z with the property that all nearby values behave similarly under repeated iteration of f. Fatou showed that the set of values not in the Fatou set, now called the 'Julia set', is typically a fractal. "The most fundamental and incisive contributions [to the theory of iterated functions] were those of Fatou himself, although Julia developed much closely related material at more or less the same time. Julia, who had been wounded during the War, was awarded the 'Grand Prix des Sciences mathematiques by the Paris Academy for his work'" (John Milnor, Dynamics in One Complex Variable, 1999). The huge amount of interest in the field of iteration of functions of one complex variable, led by Fatou and Julia, continued until the 1930s when it inexplicably faded into obscurity. It wasn't until the 1980s that it revived, probably due to the advent of accessible computers which enabled others to visualize the extraordinary beauty and complexity that Fatou and Julia obviously understood. It was also in the 1980s that the 'Mandelbrot set' rose to prominence. It is closely related to Julia sets: for the function f(z) = z^2 + c, where c is a constant, the Mandelbrot set is the set of values of c for which the Julia set of f is connected (in a single piece). Provenance: Edouard Goursat (1858-1936), French mathematician (pencil inscription on first page of text, 'A Monsieur Goursat / Hommage respecteux / P Fatou'). Goursat asked Fatou to prepare a second edition of Appell & Goursat's Théorie des fonctions algébriques (1895) and add material on automorphic functions. Fatou wrote such a major exposition of the subject that it was decided to publish Fatou's material as a separate volume, becoming Vol. 2 of Théorie des fonctions algébriques, which appeared in 1930 as a three-author work. Fatou's work on iterated functions was published in three parts in the Bulletin de la Société Mathématique de France in 1919 and 1920; the present offprint contains all three parts. We are only aware of one institutional copy of this offprint (in France, Benoit Mandelbrot's copy). No copy in auction records. 8vo, pp. 279, [1], [2, blank] (lightly browned). Original printed wrappers (a bit soiled, spine worn with some loss).

Berlin, Stockholm, Paris, F. & G. Beijer, 1906. 4to. Bound in contemporary half cloth with gilt lettering to spine. In "Acta Mathematica", Vol, 30, 1906. Entire volume offered. Stamp to title page, otherwise a fine and clean copy. Pp. 355-400. [Entire volume: 6, 410 pp]. First appearance of Fatou's seminal Ph.D. thesis in which he presented his famous Fatou theorem, which state that a bounded analytic function in the unit disc has radial limits almost everywhere on the unit circle. This theorem was at the origin of a large body of research in 20th-century mathematics under the name of bounded analytic functions. Fatou set is the 'regular' appearance of the chaotic Julia set and both if these initiated what was to be known as "complex dynamics" which eventually resulted in the Mandelbrot set.Fatou's thesis also include the first application of the Lebesgue integral to concrete problems of analysis, mainly to the study of analytic and harmonic functions in the unit disc. He furthermore studied for the first time the Poisson integral of an arbitrary measure on the unit circle and also made a major contribution to finding a solution to the related question of whether conformal mapping of Jordan regions onto the open disc can be extended continuously to the boundary."He contributed important results on the Taylor series, the theory of the Lebesgue integral, and the iteration of rational functions of a complex variable. When studying the circle of convergence of the Taylor series, several points of view are possible: (1) one can look for criteria of convergence or divergence of the series itself on the circumference" (2) one can consider the limit values of the circle of the analytic function represented by the series and try to determine where these limit values are finite or infinite, as well as the properties of the functions of the argument represented by the real and imaginary parts of the series when these functions are well defined" (3) one can consider what points on the circumference, singular in the Weierstrass sense, also determine the analytic extension of the series. The link between these problems led Fatou to formulate a fundamental theorem in the theory of the Lebesgue integral." (DSB).

Leather Bound. Condición: New. Presenting an Exquisite Leather-Bound Edition, expertly crafted with Original Natural Leather that gracefully adorns the spine and corners. The allure continues with Golden Leaf Printing that adds a touch of elegance, while Hand Embossing on the rounded spine lends an artistic flair. This masterpiece has been meticulously reprinted in 2025, utilizing the invaluable guidance of the original edition published many years ago in 1906. The contents of this book are presented in classic black and white. Its durability is ensured through a meticulous sewing binding technique, enhancing its longevity. Imprinted on top-tier quality paper. A team of professionals has expertly processed each page, delicately preserving its content without alteration. Due to the vintage nature of these books, every page has been manually restored for legibility. However, in certain instances, occasional blurriness, missing segments, or faint black spots might persist. We sincerely hope for your understanding of the challenges we faced with these books. Recognizing their significance for readers seeking insight into our historical treasure, we've diligently restored and reissued them. Our intention is to offer this valuable resource once again. We eagerly await your feedback, hoping that you'll find it appealing and will generously share your thoughts and recommendations. Pages:- 72, Print on Demand. If it is a multi-volume set, then it is only a single volume. We are specialised in Customisation of books, if you wish to opt different color leather binding, you may contact us. This service is chargeable. Product Disclaimer: Kindly be informed that, owing to the inherent nature of leather as a natural material, minor discolorations or textural variations may be perceptible. Explore the FOLIO EDITION (12x19 Inches): Available Upon Request. 72 72.