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Author: Ivo Terek Couto Publisher: CRC Press ISBN: 1000223345 Category : Mathematics Languages : en Pages : 351
Book Description
Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Author: Ivo Terek Couto Publisher: CRC Press ISBN: 1000223345 Category : Mathematics Languages : en Pages : 351
Book Description
Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity. Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions? Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously. Features: Over 300 exercises Suitable for senior undergraduates and graduates studying Mathematics and Physics Written in an accessible style without loss of precision or mathematical rigor Solution manual available on www.routledge.com/9780367468644
Author: Luis Berga Publisher: Taylor & Francis ISBN: 1134138504 Category : Architecture Languages : en Pages : 1373
Book Description
Water resources stored by dams and reservoirs play an essential role in water resource management, hydropower and flood control. Where there is an extensive network of dam infrastructures, dams have made a major contribution to economic and social development, providing considerable storage capacity per capita. However, dams and reservoirs may also have an important social and environmental impact, and should be studied within the framework of integrated water resource management and sustainable development. Dams and Reservoirs, Societies and Environment in the 21st Century presents the latest research on the role played by dams and reservoirs in 21st century societies, in developed, emergent and developing countries. It analyses the viability of dams and suggests alternative solutions from a holistic perspective, considering the technical, economic, social and environmental aspects. Other issues covered include the social acceptability of dams, public involvement and dam awareness. The book covers subjects ranging from dam engineering, through the benefits and drawbacks of dams, to their social and environmental impact, and contains numerous case studies of the constructive contributions that reservoirs have made to water development and management. The book is a valuable resource for professional and dam engineers, water managers, governmental organizations and commercial enterprises responsible for dam development and management.
Author: José Antonio Pastor González Publisher: Editorial CSIC - CSIC Press ISBN: 9788400091552 Category : Mathematics Languages : es Pages : 388
Book Description
La Geometría Diferencial es una disciplina presente en el núcleo central de todos los estudios de Matemáticas, así como una herramienta básica en el desarrollo de otras ciencias como Física, Biología, Arquitectura e Ingeniería. Este libro tratará de curvas y superficies, enfocado a satisfacer las necesidades de los estudiantes, tanto de grado como de máster, que requieran de esta disciplina para consolidar su formación. El texto está elaborado de forma didáctica, empleando un lenguaje directo y sencillo, con el desarrollo de demostraciones detalladas, con una relación de problemas y la resolución de éstos, y el uso del software específico. Es una buena herramienta para el aprendizaje de esta rama de las Matemáticas
Author: Alberto Lastra Publisher: Springer Nature ISBN: 3030813177 Category : Mathematics Languages : en Pages : 293
Book Description
This textbook provides a thorough introduction to the differential geometry of parametrized curves and surfaces, along with a wealth of applications to specific architectural elements. Geometric elements in architecture respond to practical, physical and aesthetic needs. Proper understanding of the mathematics underlying the geometry provides control over the construction. This book relates the classical mathematical theory of parametrized curves and surfaces to multiple applications in architecture. The presentation is mathematically complete with numerous figures and animations illustrating the theory, and special attention is given to some of the recent trends in the field. Solved exercises are provided to see the theory in practice. Intended as a textbook for lecture courses, Parametric Geometry of Curves and Surfaces is suitable for mathematically-inclined students in engineering, architecture and related fields, and can also serve as a textbook for traditional differential geometry courses to mathematics students. Researchers interested in the mathematics of architecture or computer-aided design will also value its combination of precise mathematics and architectural examples.
Author: T. J. Willmore Publisher: Courier Corporation ISBN: 0486282104 Category : Mathematics Languages : en Pages : 338
Book Description
This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.
Author: Ivo Terek Couto
Author: Ivo Terek Couto
Author: Luis Berga
Author: 
Author: Seminario matematico (Turin, Italy)
Author: José Antonio Pastor González
Author: Alberto Lastra
Author: Manuel Gutiérrez López
Author: Mortimer Jerome Adler
Author: T. J. Willmore
Author: J. Akiyama