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Author: Jacques Lafontaine Publisher: Springer ISBN: 3319207350 Category : Mathematics Languages : en Pages : 408
Book Description
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.
Author: Jacques Lafontaine Publisher: Springer ISBN: 3319207350 Category : Mathematics Languages : en Pages : 408
Book Description
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.
Author: P. M. Banks Publisher: Elsevier ISBN: 1483260666 Category : Science Languages : en Pages : 445
Book Description
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.
Author: Jean Salencon Publisher: Springer Science & Business Media ISBN: 3642565425 Category : Science Languages : en Pages : 794
Book Description
Outstanding approach to continuum mechanics. Its high mathematical level of teaching together with abstracts, summaries, boxes of essential formulae and numerous exercises with solutions, makes this handbook one of most complete books in the area. Students, lecturers, and practitioners will find this handbook a rich source for their studies or daily work.
Author: Susan Blattès Publisher: ISBN: 9782706104084 Category : Languages : fr Pages : 254
Book Description
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.
Author: Jean Salençon Publisher: Wiley-ISTE ISBN: 9781848215405 Category : Technology & Engineering Languages : en Pages : 0
Book Description
Since the middle of the 20th Century yield design approaches have been identified with the lower and upper bound theorem of limit analysis theory – a theory associated with perfect plasticity. This theory is very restrictive regarding the applicability of yield design approaches, which have been used for centuries for the stability of civil engineering structures. This book presents a theory of yield design within the original “equilibrium/resistance” framework rather than referring to the theories of plasticity or limit analysis; expressing the compatibility between the equilibrium of the considered structure and the resistance of its constituent material through simple mathematical arguments of duality and convex analysis results in a general formulation, which encompasses the many aspects of its implementation to various stability analysis problems. After a historic outline and an introductory example, the general theory is developed for the three-dimensional continuum model in a versatile form based upon simple arguments from the mathematical theory of convexity. It is then straightforwardly transposed to the one-dimensional curvilinear continuum, for the yield design analysis of beams, and the two-dimensional continuum model of plates and thin slabs subjected to bending. Field and laboratory observations of the collapse of mechanical systems are presented along with the defining concept of the multi-parameter loading mode. The compatibility of equilibrium and resistance is first expressed in its primal form, on the basis of the equilibrium equations and the strength domain of the material defined by a convex strength criterion along with the dual approach in the field of potentially safe loads, as is the highlighting of the role implicitly played by the theory of yield design as the fundamental basis of the implementation of the ultimate limit state design (ULSD) philosophy with the explicit introduction of resistance parameters. Contents 1. Origins and Topicality of a Concept. 2. An Introductory Example of the Yield Design Approach. 3. The Continuum Mechanics Framework. 4. Primal Approach of the Theory of Yield Design. 5. Dual Approach of the Theory of Yield Design. 6. Kinematic Exterior Approach. 7. Ultimate Limit State Design from the Theory of Yield Design. 8. Optimality and Probability Approaches of Yield Design. 9. Yield Design of Structures. 10. Yield Design of Plates: the Model. 11. Yield Design of Plates Subjected to Pure Bending. About the Authors Jean Salençon is Emeritus Professor at École polytechnique and École des ponts et chaussées, ParisTech, France. Since 2009 he has been a member of the Administrative Board of CNRS (Paris, France). He has received many awards including the Légion d’Honneur (Commander), Ordre National du Mérite (Officer) and Palmes Académiques (Commander). His research interests include structure analysis, soil mechanics and continuum mechanics.
Author: Mirako Press Publisher: Createspace Independent Publishing Platform ISBN: 9781723229053 Category : Languages : en Pages : 104
Book Description
This adorable music notebook is perfect for staffs, kids and musicians. The high-quality manuscript book includes 110 pages of 12 staves. Let exercise your composing skills with this well-designed music sketchbook! Enjoy!
Author: Karl M. Wilbur Publisher: Academic Press ISBN: 148327585X Category : Science Languages : en Pages : 660
Book Description
Physiology of Mollusca, Volume II focuses on the physiology of mollusks, as well as feeding, digestion, mechanics of the heart, metabolism, and pigmentation. The selection first offers information on feeding and digestion, including Amphineura, Gastropoda, Bivalvia, anatomy of the gut, movement of food, and digestive diverticula. The text then elaborates on feeding and digestion in cephalopods and heart, circulation, and blood cells. Discussions focus on food and feeding, mechanics of heart and circulation, control of the heart, cardioregulatory substances, and blood cells. The publication considers respiration, molluscan hemoglobin and myoglobin, and molluscan hemocyanins. The text then examines the pigmentation of mollusks, carbohydrate and nitrogen metabolism, physiology of the nervous system, and sense organs. Topics include indole pigments, sugar and polysaccharides, metabolism of nitrogenous compounds, terminal products of nitrogen metabolism in mollusks, and synaptic transmission. The selection is a dependable reference for readers interested in the physiology of mollusks.
Author: Jacques Lafontaine
Author: Jacques Lafontaine
Author: P. M. Banks
Author: Jean Salençon
Author: Jean Salencon
Author: Susan Blattès
Author: Camille Flammarion
Author: Jean Salençon
Author: Mirako Press
Author: Ray K. Linsley
Author: Karl M. Wilbur