Topolog A Y Geometr A Diferencial Con Aplicaciones A La F Sica
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Topolog A Y Geometr A Diferencial Con Aplicaciones A La F Sica
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Author : Eduardo Nahmad-Achar
language : es
Publisher: UNAM, Dirección General de Publicaciones y Fomento Editorial
Release Date : 2023-06-08
Topolog A Y Geometr A Diferencial Con Aplicaciones A La F Sica written by Eduardo Nahmad-Achar and has been published by UNAM, Dirección General de Publicaciones y Fomento Editorial this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-08 with Education categories.
El libro presenta, los fundamentos de la topología diferencial y la geometría diferencial junto con aplicaciones esenciales a muchas ramas de la física. En particular, y a pesar de que sólo se requieren para su lectura conceptos de álgebra lineal y de cálculo diferencial e integral, se llega a demostrar el Teorema de Stokes en variedades, a entender las expresiones fundamentales del cálculo avanzado en términos de formas diferenciales, a tocar brevemente las fronteras con la topología algebraica y, por el lado de la física, a formular la Teoría Newtoniana, la Teoría de Maxwell, y la Teoría de Einstein en un lenguaje geométrico (además de algunas aplicaciones a la mecánica, la dinámica de fluidos y la termodinámica). Para la parte de la física se presupone que el lector conoce los fundamentos de la relatividad especial.
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Author : Manfredo Perdigão do Carmo
language : zh-CN
Publisher:
Release Date : 2004
written by Manfredo Perdigão do Carmo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Curves categories.
责任者译名:卡莫。
From Riemann To Differential Geometry And Relativity
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Author : Lizhen Ji
language : en
Publisher: Springer
Release Date : 2017-10-03
From Riemann To Differential Geometry And Relativity written by Lizhen Ji and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-03 with Mathematics categories.
This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.
The Teaching Of Statistics
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Author : Robert Morris
language : en
Publisher:
Release Date : 1989
The Teaching Of Statistics written by Robert Morris and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematical statistics categories.
El Libro Espa Ol
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Author :
language : es
Publisher:
Release Date : 1961
El Libro Espa Ol written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Book industries and trade categories.
Foundations Of Differentiable Manifolds And Lie Groups
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Author : Frank W. Warner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Foundations Of Differentiable Manifolds And Lie Groups written by Frank W. Warner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
Topological Methods In Data Analysis And Visualization
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Author : Valerio Pascucci
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-23
Topological Methods In Data Analysis And Visualization written by Valerio Pascucci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-23 with Mathematics categories.
Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on "Topological Methods in Data Analysis and Visualization", held 2009 in Snowbird, Utah, US. The 2009 "TopoInVis" workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).
Euclid S Elements The Thirteen Books
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Author : Euclid
language : en
Publisher:
Release Date : 2017-12-17
Euclid S Elements The Thirteen Books written by Euclid and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-17 with Mathematics categories.
Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.
Intuitive Topology
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Author : Viktor Vasilʹevich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 1995
Intuitive Topology written by Viktor Vasilʹevich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
This book is an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology.
Mathematical Thought From Ancient To Modern Times
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Author : Morris Kline
language : en
Publisher: OUP USA
Release Date : 1990-03
Mathematical Thought From Ancient To Modern Times written by Morris Kline and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03 with Mathematics categories.
Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.