Equations Aux Derivees Partielles Elliptiques Semi Lineaires Proprietes De Monotonie Rearrangement Et Ruptures De Symetrie

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An Introduction to Differential Manifolds

Author : Jacques Lafontaine
Publisher : Springer
ISBN 13 : 3319207350
Total Pages : 408 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis An Introduction to Differential Manifolds by : Jacques Lafontaine

Download or read book An Introduction to Differential Manifolds written by Jacques Lafontaine and published by Springer. This book was released on 2015-07-29 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little background: the reader is only expected to master basic differential calculus, and a little point-set topology. The book covers the main topics of differential geometry: manifolds, tangent space, vector fields, differential forms, Lie groups, and a few more sophisticated topics such as de Rham cohomology, degree theory and the Gauss-Bonnet theorem for surfaces. Its ambition is to give solid foundations. In particular, the introduction of “abstract” notions such as manifolds or differential forms is motivated via questions and examples from mathematics or theoretical physics. More than 150 exercises, some of them easy and classical, some others more sophisticated, will help the beginner as well as the more expert reader. Solutions are provided for most of them. The book should be of interest to various readers: undergraduate and graduate students for a first contact to differential manifolds, mathematicians from other fields and physicists who wish to acquire some feeling about this beautiful theory. The original French text Introduction aux variétés différentielles has been a best-seller in its category in France for many years. Jacques Lafontaine was successively assistant Professor at Paris Diderot University and Professor at the University of Montpellier, where he is presently emeritus. His main research interests are Riemannian and pseudo-Riemannian geometry, including some aspects of mathematical relativity. Besides his personal research articles, he was involved in several textbooks and research monographs.

Aeronomy

Author : P. M. Banks
Publisher : Elsevier
ISBN 13 : 1483260666
Total Pages : 445 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Aeronomy by : P. M. Banks

Download or read book Aeronomy written by P. M. Banks and published by Elsevier. This book was released on 2013-09-24 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aeronomy, Part A is an attempt to make a comprehensive exposition of the processes in aeronomy, the study of composition, movement, and thermal balance of the upper regions of the planetary atmosphere. The text covers topics such as atmospheric regions and atmospheric density, the temperature and molecular mass of the atmosphere; the permanent constituents and the molecular and isotonic composition of the homosphere; and the transition from the homosphere to the heterosphere. Also covered are topics such as the temperature gradient and energies in the thermosphere, conditions at 200km and above 250km, solar radiation and ionization, and aeronomic reactions. The book is recommended for scientists, especially natural physicists, who would like to know more about the field of aeronomy and its advances.

Minimum Competence in Scientific English

Author : Susan Blattès
Publisher :
ISBN 13 : 9782706104084
Total Pages : 254 pages
Book Rating : 4.1/5 (4 download)

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Book Synopsis Minimum Competence in Scientific English by : Susan Blattès

Download or read book Minimum Competence in Scientific English written by Susan Blattès and published by . This book was released on 1991 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Le présent ouvrage répond à un objectif précis : être un outil efficace pour ceux qui sont confrontés à des textes en anglais scientifique. Minimum Competence in Scientific English suppose, pour ses utilisateurs, des prérequis de niveau baccalauréat. Il peut être utilisé en autoformation. Les étudiants scientifiques sont évidemment les premiers concernés, mais l'expérience a démontré que les chercheurs, les ingénieurs, les enseignants, les managers, confrontés aux subtilités de l'anglais scientifique écrit, étaient demandeurs de tels ouvrages.

Popular Astronomy

Author : Camille Flammarion
Publisher :
ISBN 13 :
Total Pages : 732 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Popular Astronomy by : Camille Flammarion

Download or read book Popular Astronomy written by Camille Flammarion and published by . This book was released on 1894 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Dynamical Systems and Applications

Author : Ravi P. Agarwal
Publisher : World Scientific
ISBN 13 : 9789810223830
Total Pages : 720 pages
Book Rating : 4.2/5 (238 download)

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Book Synopsis Dynamical Systems and Applications by : Ravi P. Agarwal

Download or read book Dynamical Systems and Applications written by Ravi P. Agarwal and published by World Scientific. This book was released on 1995 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: World Scientific series in Applicable Analysis (WSSIAA) aims at reporting new developments of high mathematical standard and current interest. Each volume in the series shall be devoted to the mathematical analysis that has been applied or potentially applicable to the solutions of scientific, engineering, and social problems. For the past twenty five years, there has been an explosion of interest in the study of nonlinear dynamical systems. Mathematical techniques developed during this period have been applied to important nonlinear problems ranging from physics and chemistry to ecology and economics. All these developments have made dynamical systems theory an important and attractive branch of mathematics to scientists in many disciplines. This rich mathematical subject has been partially represented in this collection of 45 papers by some of the leading researchers in the area. This volume contains 45 state-of-art articles on the mathematical theory of dynamical systems by leading researchers. It is hoped that this collection will lead new direction in this field.Contributors: B Abraham-Shrauner, V Afraimovich, N U Ahmed, B Aulbach, E J Avila-Vales, F Battelli, J M Blazquez, L Block, T A Burton, R S Cantrell, C Y Chan, P Collet, R Cushman, M Denker, F N Diacu, Y H Ding, N S A El-Sharif, J E Fornaess, M Frankel, R Galeeva, A Galves, V Gershkovich, M Girardi, L Gotusso, J Graczyk, Y Hino, I Hoveijn, V Hutson, P B Kahn, J Kato, J Keesling, S Keras, V Kolmanovskii, N V Minh, V Mioc, K Mischaikow, M Misiurewicz, J W Mooney, M E Muldoon, S Murakami, M Muraskin, A D Myshkis, F Neuman, J C Newby, Y Nishiura, Z Nitecki, M Ohta, G Osipenko, N Ozalp, M Pollicott, Min Qu, Donal O-Regan, E Romanenko, V Roytburd, L Shaikhet, J Shidawara, N Sibony, W-H Steeb, C Stoica, G Swiatek, T Takaishi, N D Thai Son, R Triggiani, A E Tuma, E H Twizell, M Urbanski; T D Van, A Vanderbauwhede, A Veneziani, G Vickers, X Xiang, T Young, Y Zarmi.

Translations. Ser. 1, 2. Number theory and analysis

Author : American Mathematical Society
Publisher : American Mathematical Soc.
ISBN 13 : 9780821816028
Total Pages : 548 pages
Book Rating : 4.8/5 (16 download)

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Book Synopsis Translations. Ser. 1, 2. Number theory and analysis by : American Mathematical Society

Download or read book Translations. Ser. 1, 2. Number theory and analysis written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 1962 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Anatomy of Integers

Author :
Publisher :
ISBN 13 : 9781470439606
Total Pages : 297 pages
Book Rating : 4.4/5 (396 download)

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Book Synopsis Anatomy of Integers by :

Download or read book Anatomy of Integers written by and published by . This book was released on 2008 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mostly devoted to the study of the prime factors of integers, their size and their quantity, to good bounds on the number of integers with different properties (for example, those with only large prime factors) and to the distribution of divisors of integers in a given interval. In particular, various estimates concerning smooth numbers are developed. A large emphasis is put on the study of additive and multiplicative functions as well as various arithmetic functions such as the partition function. More specific topics include the Erdős-Kac Theorem, cyclotomic polynomials, combinat.

Applications of Group Theory to Combinatorics

Author : Jack Koolen
Publisher : CRC Press
ISBN 13 : 0203885767
Total Pages : 188 pages
Book Rating : 4.2/5 (38 download)

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Book Synopsis Applications of Group Theory to Combinatorics by : Jack Koolen

Download or read book Applications of Group Theory to Combinatorics written by Jack Koolen and published by CRC Press. This book was released on 2008-07-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state

Équations aux dérivées partielles elliptiques non linéaires

Author : Herve Le Dret
Publisher : Springer Science & Business Media
ISBN 13 : 3642361757
Total Pages : 230 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Équations aux dérivées partielles elliptiques non linéaires by : Herve Le Dret

Download or read book Équations aux dérivées partielles elliptiques non linéaires written by Herve Le Dret and published by Springer Science & Business Media. This book was released on 2013-04-19 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage est issu d’un cours de Master 2 enseigné à l’UPMC entre 2004 et 2007. Nous y présentons une sélection de techniques mathématiques orientées vers la résolution des équations aux dérivées partielles elliptiques semi-linéaires et quasi-linéaires. Après un vade-mecum d'analyse réelle et d'analyse fonctionnelle de base pour les EDP, sans démonstrations pour les points les plus connus, nous parcourons ainsi les théorèmes de point fixe classiques, les opérateurs de superposition dans les espaces de Lebesgue et de Sobolev, la méthode de Galerkin, les principes du maximum et la régularité elliptique, nous faisons une excursion assez longue dans divers aspects du calcul des variations puis terminons par les opérateurs monotones et pseudo-monotones. Tout ceci est agrémenté d’exemples et chaque chapitre est complété d'un nombre d’exercices qui croît essentiellement avec le numéro du chapitre, au fur et à mesure que de nouveaux matériaux sont présentés. This book stems from lectures notes of a Master 2 class held at UPMC between 2004 and 2007. A selection of mathematical techniques geared towards the resolution of semilinear and quasilinear elliptic partial differential equations is presented. After a short survival guide in basic real and functional analysis for PDEs, without proofs for the most well-known results, we walk through the classical fixed point theorems, the superposition operators in Lebesgue and Sobolev spaces, the Galerkin method, the maximum principles and elliptic regularity, we make a rather long foray into various aspects of the calculus of variations, and conclude with monotone and pseudo-monotone operators, by way of numerous examples. Each chapter is complemented by a number of exercises that grows with the chapter number as more and more material is made available.

Bounded Arithmetic

Author : Samuel R. Buss
Publisher :
ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Bounded Arithmetic by : Samuel R. Buss

Download or read book Bounded Arithmetic written by Samuel R. Buss and published by . This book was released on 1986 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Espaces fonctionnels - Utilisation dans la résolution des équations aux dérivées partielles

Author : Gilbert Demengel
Publisher : EDP Sciences
ISBN 13 : 2759830152
Total Pages : 668 pages
Book Rating : 4.7/5 (598 download)

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Book Synopsis Espaces fonctionnels - Utilisation dans la résolution des équations aux dérivées partielles by : Gilbert Demengel

Download or read book Espaces fonctionnels - Utilisation dans la résolution des équations aux dérivées partielles written by Gilbert Demengel and published by EDP Sciences. This book was released on 2007-11-29T00:00:00+01:00 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage présente et explicite des notions de base relatives à la résolution des équations aux dérivées partielles elliptiques et à l'étude de la régularité de leurs solutions. Après une étude détaillée des espaces de Sobolev (premières propriétés, théorèmes d'injection, théorèmes d'injection compacte, aussi bien pour les Sobolev dits d'exposants entiers que pour les Sobolev d'exposants fractionnaires), ce livre aborde les méthodes variationnelles permettant, par l'utilisation de la convexité, d'obtenir des solutions pour certaines équations aux dérivées partielles, linéaires et quasilinéaires. Les auteurs développent aussi une étude qualitative des équations aux dérivées partielles modèles (régularité, principe du maximum strict) et présentent des problèmes issus de la théorie des surfaces minimales et de celle de la plasticité tridimensionnelle, qui demandent l'introduction et l'étude d'espaces de fonctions à dérivée mesure, espaces qui sont très proches des espaces de Sobolev classiques. De nombreux exercices sont proposés avec, pour la plupart, des indications pour leur solution.