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Author : Henri Bourles
Publisher :
ISBN 13 : 9781784064167
Total Pages : 316 pages
Book Rating : 4.0/5 (641 download)
Download or read book Précis de Mathématiques Approfondies et Fondamentales written by Henri Bourles and published by . This book was released on 2018 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Henri Bourlès
Publisher : ISTE Group
ISBN 13 : 1784053171
Total Pages : 247 pages
Book Rating : 4.7/5 (84 download)
Download or read book Précis de mathématiques approfondies et fondamentales 1 written by Henri Bourlès and published by ISTE Group. This book was released on 2017-10-01 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publié en trois volumes, Précis de mathématiques approfondies et fondamentales présente les éléments mathématiques qui « fondent » un certain nombre de méthodes des sciences contemporaines : théorie moderne des systèmes, physique, sciences de l’ingénieur. Ce premier volume traite essentiellement des questions algébriques : catégories et foncteurs, groupes, anneaux, modules et algèbres. Les notions sont introduites dans un cadre général puis étudiées dans le contexte de l’algèbre commutative et de l’algèbre homologique ; leurs applications à la géométrie et à la topologie algébriques sont alors examinées. Ces notions jouent un rôle essentiel en analyse algébrique – théorie analyticoalgébrique des systèmes d’équations différentielles linéaires, ordinaires ou aux dérivées partielles. L’ouvrage étudie également les modules sur les anneaux principaux non commutatifs, la forme canonique rationnelle d’une matrice, la théorie des diviseurs élémentaires – dans le cas commutatif – et leur application aux systèmes d’équations différentielles linéaires à coefficients constants.
Author : Henri Bourlès
Publisher : ISTE Group
ISBN 13 : 178405416X
Total Pages : 318 pages
Book Rating : 4.7/5 (84 download)
Download or read book Précis de mathématiques approfondies et fondamentales 2 written by Henri Bourlès and published by ISTE Group. This book was released on 2018-03-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publié en trois volumes, Précis de mathématiques approfondies et fondamentales présente les éléments mathématiques qui « fondent » un certain nombre de méthodes des sciences contemporaines : théorie moderne des systèmes, physique, sciences de l’ingénieur. Alors que le premier volume étudie les conditions formelles de résolubilité d’un système d’équations (polynomiales ou différentielles linéaires), ce second ouvrage traite de la nature des solutions des systèmes d’équations. Pour cela, il s’appuie essentiellement sur deux théories : la théorie de Galois et la théorie de Galois différentielle. À travers la topologie générale et la théorie des espaces vectoriels topologiques, l’ouvrage analyse les principaux espaces fonctionnels (généralisés) : fonctions indéfiniment dérivables, holomorphes, méromorphes, mesures, distributions, hyperfonctions. Ces dernières permettent d’étendre aux équations différentielles à coefficients variables la dualité équations/solutions obtenue dans le premier volume dans le cas des coefficients constants.
Author : Henri Bourlès
Publisher : ISTE Group
ISBN 13 : 1784056340
Total Pages : 440 pages
Book Rating : 4.7/5 (84 download)
Download or read book Précis de mathématiques approfondies et fondamentales 3 written by Henri Bourlès and published by ISTE Group. This book was released on 2019-10-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publié en trois volumes, Précis de mathématiques approfondies et fondamentales présente les éléments mathématiques qui « fondent » un certain nombre de méthodes des sciences contemporaines : théorie moderne des systèmes, physique, sciences de l’ingénieur. Ce troisième volume traite les problèmes non linéaires : il détaille le calcul différentiel, dans le cadre des espaces de Banach puis des variétés banachiques. Une fois introduits les concepts de base de la géométrie différentielle, une place importante est laissée au calcul différentiel et intégral sur les variétés. Sont également étudiés les groupes et algèbres de Lie, puis l’analyse harmonique sur les groupes de Lie, de manière à englober dans un même formalisme la transformation de Fourier et les séries de Fourier, et à donner un aperçu de l’analyse harmonique non commutative. La théorie des connexions permet de définir les notions de torsion et de courbure, et d’aborder la géométrie (pseudo-)riemannienne de la relativité générale.
Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081023863
Total Pages : 428 pages
Book Rating : 4.0/5 (81 download)
Download or read book Fundamentals of Advanced Mathematics V3 written by Henri Bourles and published by Elsevier. This book was released on 2019-10-11 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Advanced Mathematics, Volume Three, begins with the study of differential and analytic infinite-dimensional manifolds, then progresses into fibered bundles, in particular, tangent and cotangent bundles. In addition, subjects covered include the tensor calculus on manifolds, differential and integral calculus on manifolds (general Stokes formula, integral curves and manifolds), an analysis on Lie groups, the Haar measure, the convolution of functions and distributions, and the harmonic analysis over a Lie group. Finally, the theory of connections is (linear connections, principal connections, and Cartan connections) covered, as is the calculus of variations in Lagrangian and Hamiltonian formulations. This volume is the prerequisite to the analytic and geometric study of nonlinear systems. - Includes sections on differential and analytic manifolds, vector bundles, tensors, Lie derivatives, applications to algebraic topology, and more - Presents an ideal prerequisite resource on the analytic and geometric study of nonlinear systems - Provides theory as well as practical information
Author : Henri Bourles
Publisher : Elsevier
ISBN 13 : 0081021127
Total Pages : 270 pages
Book Rating : 4.0/5 (81 download)
Download or read book Fundamentals of Advanced Mathematics 1 written by Henri Bourles and published by Elsevier. This book was released on 2017-07-10 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This precis, comprised of three volumes, of which this book is the first, exposes the mathematical elements which make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. This first volume focuses primarily on algebraic questions: categories and functors, groups, rings, modules and algebra. Notions are introduced in a general framework and then studied in the context of commutative and homological algebra; their application in algebraic topology and geometry is therefore developed. These notions play an essential role in algebraic analysis (analytico-algebraic systems theory of ordinary or partial linear differential equations). The book concludes with a study of modules over the main types of rings, the rational canonical form of matrices, the (commutative) theory of elemental divisors and their application in systems of linear differential equations with constant coefficients. - Part of the New Mathematical Methods, Systems, and Applications series - Presents the notions, results, and proofs necessary to understand and master the various topics - Provides a unified notation, making the task easier for the reader. - Includes several summaries of mathematics for engineers
Author : Michel Kern
Publisher : John Wiley & Sons
ISBN 13 : 1848218184
Total Pages : 232 pages
Book Rating : 4.8/5 (482 download)
Download or read book Numerical Methods for Inverse Problems written by Michel Kern and published by John Wiley & Sons. This book was released on 2016-06-07 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies methods to concretely address inverse problems. An inverse problem arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are applicable, have been applied, and are often illustrated by numerical examples.
Author : Jacques Simon
Publisher : John Wiley & Sons
ISBN 13 : 1786300095
Total Pages : 372 pages
Book Rating : 4.7/5 (863 download)
Download or read book Banach, Frechet, Hilbert and Neumann Spaces written by Jacques Simon and published by John Wiley & Sons. This book was released on 2017-06-26 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a set dedicated to the mathematical tools used in partial differential equations derived from physics. Its focus is on normed or semi-normed vector spaces, including the spaces of Banach, Fréchet and Hilbert, with new developments on Neumann spaces, but also on extractable spaces. The author presents the main properties of these spaces, which are useful for the construction of Lebesgue and Sobolev distributions with real or vector values and for solving partial differential equations. Differential calculus is also extended to semi-normed spaces. Simple methods, semi-norms, sequential properties and others are discussed, making these tools accessible to the greatest number of students – doctoral students, postgraduate students – engineers and researchers without restricting or generalizing the results.
Author : Kamel Gana
Publisher : John Wiley & Sons
ISBN 13 : 1119579007
Total Pages : 299 pages
Book Rating : 4.1/5 (195 download)
Download or read book Structural Equation Modeling with lavaan written by Kamel Gana and published by John Wiley & Sons. This book was released on 2019-01-03 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an introduction to structural equation modeling (SEM) and facilitates the access of students and researchers in various scientific fields to this powerful statistical tool. It offers a didactic initiation to SEM as well as to the open-source software, lavaan, and the rich and comprehensive technical features it offers. Structural Equation Modeling with lavaan thus helps the reader to gain autonomy in the use of SEM to test path models and dyadic models, perform confirmatory factor analyses and estimate more complex models such as general structural models with latent variables and latent growth models. SEM is approached both from the point of view of its process (i.e. the different stages of its use) and from the point of view of its product (i.e. the results it generates and their reading).
Author : Centre d'études de recherche opérationnelle
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.3/5 (91 download)
Download or read book Cahiers written by Centre d'études de recherche opérationnelle and published by . This book was released on 1969 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Claude Cohen-Tannoudji
Publisher : John Wiley & Sons
ISBN 13 : 3527345558
Total Pages : 790 pages
Book Rating : 4.5/5 (273 download)
Download or read book Quantum Mechanics, Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Author :
Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (97 download)
Download or read book Archive for History of Exact Sciences written by and published by . This book was released on 1960 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jacques Henry
Publisher : Elsevier
ISBN 13 : 0081010907
Total Pages : 258 pages
Book Rating : 4.0/5 (81 download)
Download or read book Factorization of Boundary Value Problems Using the Invariant Embedding Method written by Jacques Henry and published by Elsevier. This book was released on 2016-11-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Factorization Method for Boundary Value Problems by Invariant Embedding presents a new theory for linear elliptic boundary value problems. The authors provide a transformation of the problem in two initial value problems that are uncoupled, enabling you to solve these successively. This method appears similar to the Gauss block factorization of the matrix, obtained in finite dimension after discretization of the problem. This proposed method is comparable to the computation of optimal feedbacks for linear quadratic control problems. - Develops the invariant embedding technique for boundary value problems - Makes a link between control theory, boundary value problems and the Gauss factorization - Presents a new theory for successively solving linear elliptic boundary value problems - Includes a transformation in two initial value problems that are uncoupled
Author :
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.:/5 (44 download)
Download or read book Set Theory, Foundations of Mathematics written by and published by . This book was released on 1977 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Miguel F. Anjos
Publisher : Springer Science & Business Media
ISBN 13 : 1461407699
Total Pages : 955 pages
Book Rating : 4.4/5 (614 download)
Download or read book Handbook on Semidefinite, Conic and Polynomial Optimization written by Miguel F. Anjos and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 955 pages. Available in PDF, EPUB and Kindle. Book excerpt: Semidefinite and conic optimization is a major and thriving research area within the optimization community. Although semidefinite optimization has been studied (under different names) since at least the 1940s, its importance grew immensely during the 1990s after polynomial-time interior-point methods for linear optimization were extended to solve semidefinite optimization problems. Since the beginning of the 21st century, not only has research into semidefinite and conic optimization continued unabated, but also a fruitful interaction has developed with algebraic geometry through the close connections between semidefinite matrices and polynomial optimization. This has brought about important new results and led to an even higher level of research activity. This Handbook on Semidefinite, Conic and Polynomial Optimization provides the reader with a snapshot of the state-of-the-art in the growing and mutually enriching areas of semidefinite optimization, conic optimization, and polynomial optimization. It contains a compendium of the recent research activity that has taken place in these thrilling areas, and will appeal to doctoral students, young graduates, and experienced researchers alike. The Handbook’s thirty-one chapters are organized into four parts: Theory, covering significant theoretical developments as well as the interactions between conic optimization and polynomial optimization; Algorithms, documenting the directions of current algorithmic development; Software, providing an overview of the state-of-the-art; Applications, dealing with the application areas where semidefinite and conic optimization has made a significant impact in recent years.
Author : Marco Storni
Publisher : E-theca OnLineOpenAccess Edizioni
ISBN 13 :
Total Pages : 210 pages
Book Rating : 4./5 ( download)
Download or read book Noctua - volume IV/1-2 (2017) written by Marco Storni and published by E-theca OnLineOpenAccess Edizioni. This book was released on 2017-06-15 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Petitjean
Publisher : Springer Science & Business Media
ISBN 13 : 9401125945
Total Pages : 419 pages
Book Rating : 4.4/5 (11 download)
Download or read book Science and Empires written by P. Petitjean and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: SCIENCE AND EMPIRES: FROM THE INTERNATIONAL COLLOQUIUM TO THE BOOK Patrick PETITJEAN, Catherine JAMI and Anne Marie MOULIN The International Colloquium "Science and Empires - Historical Studies about Scientific De velopment and European Expansion" is the product of an International Colloquium, "Sciences and Empires - A Comparative History of Scien tific Exchanges: European Expansion and Scientific Development in Asian, African, American and Oceanian Countries". Organized by the REHSEIS group (Research on Epistemology and History of Exact Sciences and Scientific Institutions) of CNRS (National Center for Scientific Research), the colloquium was held from 3 to 6 April 1990 in the UNESCO building in Paris. This colloquium was an idea of Professor Roshdi Rashed who initiated this field of studies in France some years ago, and proposed "Sciences and Empires" as one of the main research programmes for the The project to organize such a colloquium was a bit REHSEIS group. of a gamble. Its subject, reflected in the title "Sciences and Empires", is not a currently-accepted sub-discipline of the history of science; rather, it refers to a set of questions which found autonomy only recently. The terminology was strongly debated by the participants and, as is frequently suggested in this book, awaits fuller clarification.
