Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory - Hardcover

Botelho, Fabio Silva

Hardcover

ISBN 10: 036774645X ISBN 13: 9780367746452

Verlag: CRC Press, 2021

Inhaltsangabe

The approach presented includes detailed and rigorous studies on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. The conclusion section introduces readers to Riemannian geometry, which is used in the subsequent chapters.

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Über die Autorin bzw. den Autor

Fabio Silva Botelho obtained a Ph.D, in Mathematics from Virginia Tech, USA in 2009. Prior to that got his undergraduate (1992) and master (1996) degrees in Aeronautical Engineering from the Technological Institute of Aeronautics, ITA, SP, Brazil. From 2004 to 2015 he was an Assistant Professor at the Mathematics Department of Federal University of Pelotas in Brazil. Since 2015 he has worked as an Adjunct Professor at the Department of mathematics of Federal University of Santa Catarina, in Florianopolis, SC, Brazil. His fields of reserach are Functional Analysis, Calculus of Variations, Duality and Numerical Analysis applied to problems in Physics and Engineering. He has published three books, Functional Analysis and Applied Optimization in Banach Spaces (2014), Real Analysis and Applications (2018), both with Springer, and Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering (2020), published by CRC Taylor and Francis. He is also the author of a generalization of the Method of Lines, a numerical method for solving partial differential equations in which the domain of the equation in question is discretized in lines and the concerning solution is written on these lines as functions of the boundary conditions and the domain boundary shape.

Details zur Ausgabe

• Verlag: CRC Press
• Erscheinungsdatum: 2021
• Sprache: Englisch
• ISBN 10: 036774645X
• ISBN 13: 9780367746452
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 336
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar