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Author: Jacques Lafontaine
Publisher: Springer
ISBN: 3319207350
Category : Mathematics
Languages : en
Pages : 408
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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
Get Book Here
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
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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: Anthony Briggman
Publisher: Oxford University Press
ISBN: 0192511173
Category : Religion
Languages : en
Pages : 349
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Book Description
For too long certain scholars have been content to portray Irenaeus of Lyons as a well-meaning churchman but incompetent theologian. By offering a careful reading of Irenaeus' polemical and constructive arguments, God and Christ in Irenaeus contradicts these claims by showing that he was highly educated, trained in the rhetorical arts, aware of general philosophical positions, and able to use both rhetorical and philosophical theories and methods in his argumentation. Moreover, the theological account laid down by his pen was original and sophisticated, supremely so for one of the second century. In contrast to readings that minimize the metaphysical dimension of Irenaeus' theology, Anthony Briggman establishes as pillars of Irenaeus' polemical argumentation and constructive theology his conception of the divine being as infinite and simple, the reciprocal immanence of the Word-Son and God the Father, divine generation, the union of the divine Word-Son and human nature in the person of Christ, and the revelatory activity of the infinite and incomprehensible Word-Son, amongst other features of his theology. Briggman offers a fundamentally new understanding of Irenaeus and his thought.
Author: Susan Blattès
Publisher:
ISBN: 9782706104084
Category :
Languages : fr
Pages : 254
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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: Victor J. Katz
Publisher: American Mathematical Soc.
ISBN: 1470457113
Category : Mathematics
Languages : en
Pages : 1378
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Book Description
Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.
Author: Kenneth Carpenter
Publisher: Indiana University Press
ISBN: 9780253345394
Category : Juvenile Nonfiction
Languages : en
Pages : 402
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Book Description
The meat-eating dinosaurs, or Theropoda, include some of the fiercest predators that ever lived. Some of the group's members survive to this day—as birds. The theropod/bird connection has been explored in several recent works, but this book presents 17 papers on a variety of other topics. It is organized into three parts. Part I explores morphological details that are important for understanding theropod systematics. Part II focuses on specific regions of theropod anatomy and biomechanics. Part III examines various lines of evidence that reveal something about theropods as living creatures. The contributors are Ronan Allain, Rinchen Barsbold, Kenneth Carpenter, Karen Cloward, Rodolfo A. Coria, Philip J. Currie, Peter M. Galton, Robert Gay, Donald M. Henderson, Dong Huang, James I. Kirkland, Yoshitsugu Kobayashi, Eva B. Koppelhus, Peter Larson, Junchang Lü, Lorrie A. McWhinney, Clifford Miles, Ralph E. Molnar, N. Murphy, John H. Ostrom, Gregory S. Paul, Licheng Qiu,J. Keith Rigby, Jr., Bruce Rothschild, Christopher B. Ruff, Leonardo Salgado, Frank Sanders, Julia T. Sankey, Judith A. Schiebout, David K. Smith, Barbara R. Standhardt, Kathy Stokosa, Darren H. Tanke, François Therrien, David Trexler, Kelly Wicks, Douglas G. Wolfe, and Lowell Wood.
Author: Lisa H. WEASEL Ph.D.
Publisher: AMACOM Div American Mgmt Assn
ISBN: 0814401783
Category : Technology & Engineering
Languages : en
Pages : 258
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Book Description
More than ten years ago, the first genetically modified foods took their place on the shelves of American supermarkets. But while American consumers remained blissfully unconcerned with the new products that suddenly filled their kitchens, Europeans were much more wary of these “Frankenfoods.” When famine struck Africa in 2002, several nations refused shipments of genetically modified foods, fueling a controversy that put the issue on the world's political agenda for good. In Food Fray, esteemed molecular biologist Dr. Lisa H. Weasel brings readers into the center of this debate, capturing the real-life experiences of the scientists, farmers, policymakers and grassroots activists on the front lines. Here she combines solid scientific knowledge and a gripping narrative to tell the real story behind the headlines and the hype. Seminal and cutting-edge, Food Fray enlightens and informs and will allow readers to make up their own minds about one of the most important issues facing us today.
Author: Camille Flammarion
Publisher:
ISBN:
Category : Astronomy
Languages : en
Pages : 732
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Book Description
Author: Alain Reinberg
Publisher: CRC Press
ISBN:
Category : Design
Languages : en
Pages : 268
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Book Description
Periodical and predictable changes in biological susceptibility and response to a large variety of chemical agents, including drugs and food, have been documented since the early 1970s. This book provides a survey of clinically-documented research in chronopharmacology.
Author: Donald Gillies
Publisher: Oxford University Press on Demand
ISBN: 9780198514862
Category : Language Arts & Disciplines
Languages : en
Pages : 353
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Book Description
The essays in this book provide the first comprehensive treatment of the concept of revolution in mathematics. In 1962 an exciting discussion of revolutions in the natural sciences was prompted by the publication of Kuhn's The Structure of Scientific Revolutions. A fascinating but little knownoffshoot of this debate was begun in the USA in the mid-1970s: can the concept of revolutions be applied to mathematics as well as science? Michael Crowe declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave someexamples.The original papers of Crowe, Dauben, and Mehrtens are reprinted in this book, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics who each discuss an important episode and consider whether it was arevolution.This book is an excellent reference work and an ideal course text for both graduate and undergraduate courses in the history and philosophy of science and mathematics.
