Download or read book Analyse complexe et quations diff rentielles written by Luís Barreira and published by EDP Sciences. This book was released on 2014-04-01T00:00:00+02:00 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce manuel introductif s'adresse à tout étudiant (classe préparatoire, université, école ingénieurs) connaissant les principes de bases en algèbre linéaire, calcul différentiel et intégral. Il aborde notamment les notions de : • fonctions holomorphes, • fonctions analytiques, • équations différentielles ordinaires, • s
Download or read book Analyse complexe et quations diff rentielles exercices corrig s written by Luís Barreira and published by EDP Sciences. This book was released on 2014-04-01T00:00:00+02:00 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce recueil d'exercices vise principalement les étudiants qui s'initient à l'analyse complexe, aux équations différentielles, ou aux deux domaines. On y considère notamment les notions de : • fonctions holomorphes, • fonctions analytiques, • équations différentielles ordinaires, • séries de Fourier, • applications aux équations aux dérivées partielles. Au total, le livre propose 400 exercices. Plus de deux cents d'entre eux sont complètement résolus, les autres sont présentés avec leurs solutions. Le contenu et la progression de ces exercices suivent de près le manuel « Analyse Complexe et Équations Différentielles » de Barreira, publié dans la même collection. Luís Barreira et Clàudia Valls, professeurs à l'Instituto Superior Técnico de Lisbonne, sont spécialistes en équations différentielles et systèmes dynamiques, domaines dans lesquels ils ont publié plusieurs livres.
Download or read book Analyse Complexe written by Eric Amar and published by Springer. This book was released on 2006-12-08 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book quations diff rentielles dans le champ complexe quations diff rentielles ordinaires written by and published by . This book was released on 1988 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Analysis for Engineers written by Bernard Dacorogna and published by World Scientific Publishing Company. This book was released on 2012-06-18 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book follows an advanced course in analysis (vector analysis, complex analysis and Fourier analysis) for engineering students, but can also be useful, as a complement to a more theoretical course, to mathematics and physics students. The first three parts of the book represent the theoretical aspect and are independent of each other. The fourth part gives detailed solutions to all exercises that are proposed in the first three parts. Foreword Foreword (71 KB) Sample Chapter(s) Chapter 1: Differential Operators of Mathematical Physics (272 KB) Chapter 9: Holomorphic functions and Cauchy–Riemann equations (248 KB) Chapter 14: Fourier series (281 KB) Request Inspection Copy Contents: Vector Analysis:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremAppendixComplex Analysis:Holomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier Analysis:Fourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential EquationsSolutions to the Exercises:Differential Operators of Mathematical PhysicsLine IntegralsGradient Vector FieldsGreen TheoremSurface IntegralsDivergence TheoremStokes TheoremHolomorphic Functions and Cauchy–Riemann EquationsComplex IntegrationLaurent SeriesResidue Theorem and ApplicationsConformal MappingFourier SeriesFourier TransformLaplace TransformApplications to Ordinary Differential EquationsApplications to Partial Differential Equations Readership: Undergraduate students in analysis & differential equations, complex analysis, civil, electrical and mechanical engineering.
Download or read book quations diff rentielles dans le champ complexe quations aux d riv es partielles et divers written by and published by . This book was released on 1988 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Canadian Mathematical Bulletin written by and published by . This book was released on 1970-09 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analyse Complexe Syst mes Dynamiques Sommabilit Des S ries Divergentes Et Th ories Galoisiennes written by Michèle Loday-Richaud and published by SMF. This book was released on 2004 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of two bound volumes present the proceedings of the conference, Complex Analysis, Dynamical Systems, Summability of Divergent Series and Galois Theories, held in Toulouse on the occasion of J.-P. Ramis' sixtieth birthday. The first volume opens with two articles composed of recollections and three articles on J.-P. Ramis' works on complex analysis and ODE theory, both linear and non-linear. This introduction is followed by papers concerned with Galois theories, arithmetic or integrability: analogies between differential and arithmetical theories, $q$-difference equations, classical or $p$-adic, the Riemann-Hilbert problem and renormalization, $b$-functions, descent problems, Krichever modules, the set of integrability, Drach theory, and the VI${}^{{th}}$ Painleve equation. The second volume contains papers dealing with analytical or geometrical aspects: Lyapunov stability, asymptotic and dynamical analysis for pencils of trajectories, monodromy in moduli spaces, WKB analysis and Stokes geometry, first and second Painleve equations, normal forms for saddle-node type singularities, and invariant tori for PDEs. The volumes are suitable for graduate students and researchers interested in differential equations, number theory, geometry, and topology.
Download or read book Singularities In Geometry And Topology Proceedings Of The Trieste Singularity Summer School And Workshop written by Jean-paul Brasselet and published by World Scientific. This book was released on 2007-01-16 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Download or read book Singularities in Geometry and Topology written by Jean-Paul Brasselet and published by World Scientific. This book was released on 2007 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singularity theory appears in numerous branches of mathematics, as well as in many emerging areas such as robotics, control theory, imaging, and various evolving areas in physics. The purpose of this proceedings volume is to cover recent developments in singularity theory and to introduce young researchers from developing countries to singularities in geometry and topology.The contributions discuss singularities in both complex and real geometry. As such, they provide a natural continuation of the previous school on singularities held at ICTP (1991), which is recognized as having had a major influence in the field.
Download or read book Equations Differentielles et Systemes de Pfaff dans le Champ Complexe I written by E. Gerard and published by Springer. This book was released on 2006-11-15 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Functional Analysis written by Jean-Pierre Aubin and published by John Wiley & Sons. This book was released on 2011-09-30 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations. To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. Applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians.
Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 1905 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cours d analyse written by Srishti D. Chatterji and published by EPFL Press. This book was released on 1997-01-01 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: L'objectif principal du second volume de ce Cours d'Analyse en trois volumes est de donner une introduction à la théorie classique des fonctions holomorphes d'une variable complexe. Après une introduction aux nombres complexes et à la théorie des séries entières, on présente les fonctions holomorphes en utilisant les équations de Cauchy-Riemann et leurs développements en séries entières. Les théorèmes principaux de la théorie de Cauchy ainsi que leur utilisation pour l'étude des séries de Taylor et de Laurent sont présentés en détail. Les fonctions élémentaires (exp, cos, sin etc.) sont introduites dès le début et leurs propriétés sont développées en utilisant la théorie générale. Les propriétés principales des fonctions holomorphes (principe de module maximum, application ouverte, unicité des fonctions holomorphes, théorèmes de Weierstrass et Mittag-Leffler etc.) sont présentées et leur relation avec les fonctions harmoniques est développée. Quelques fonctions spéciales (comme gamma, zêta) sont introduites avec soin. Les applications conformes (inclus le théorème de Riemann) sont traitées en détail. Une introduction à la théorie des fractions continues complexes est donnée comme illustration de différents modes de présentation des fonctions holomorphes (comme séries, intégrales ou produits infinis). Le livre se termine avec une courte introduction rigoureuse aux surfaces de Riemann. De nombreux exercices (avec indications de leur résolution), notices historiques et bibliographiques complètent le texte. Il est conçu pour les étudiants en mathématiques et physique dans leur deuxième et troisième années d'études auprès d'une université européenne.
Download or read book Equations Differentielles et Systemes de Pfaff dans le Champs Complexe II written by R. Gerard and published by Springer. This book was released on 2006-11-14 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Math matiques en BCPST Tome 1 analyse et probabilit s pour la classe de premi re ann e cours exercices et devoirs written by Pascal BEAUGENDRE and published by Lulu.com. This book was released on with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Exercices d analyse complexe et quations diff rentielles written by Luis Barreira and published by . This book was released on 2011 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce recueil d'exercices vise principalement les étudiants qui s'initient à l'analyse complexe, aux équations différentielles, ou aux deux domaines. On y considère notamment les notions de fonctions holomorphes ; fonctions analytiques ; équations différentielles ordinaires ; séries de Fourier ; applications aux équations aux dérivées partielles. Au total, le livre propose 400 exercices. Plus de deux cents d'entre eux sont complètement résolus, les autres sont présentés avec leurs solutions. Le contenu et la progression de ces exercices suivent de près le manuel " Analyse Complexe et Equations Différentielles " de Barreira, publié dans la même collection.
