Bokus
John G. Papastavridis - Tensor Calculus and Analytical Dynamics, Inbunden

Inbunden, Engelska, 1998

Tensor Calculus and Analytical Dynamics

Av John G. Papastavridis

Del i serien Engineering Mathematics

2125 kr

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Beskrivning
Tensor Calculus and Analytical Dynamics provides a concise, comprehensive, and readable introduction to classical tensor calculus - in both holonomic and nonholonomic coordinates - as well as to its principal applications to the Lagrangean dynamics of discrete systems under positional or velocity constraints. The thrust of the book focuses on formal structure and basic geometrical/physical ideas underlying most general equations of motion of mechanical systems under linear velocity constraints.Written for the theoretically minded engineer, Tensor Calculus and Analytical Dynamics contains uniquely accessbile treatments of such intricate topics as:tensor calculus in nonholonomic variables Pfaffian nonholonomic constraints related integrability theory of FrobeniusThe book enables readers to move quickly and confidently in any particular geometry-based area of theoretical or applied mechanics in either classical or modern form.
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Recensioner i media

"This is a deep and complete work…in view of the fact that very few books in tensor analysis have appeared recently, the present monograph is one of the most up to date…highly recommended…"-L.Y. Bahar in Applied Mechanics Review, September 1999"The book is very carefully written and published, it should find many readers and young scientists who want to follow the beautiful Analytical Dynamics in research and teaching."-Professor Peter MaiBer Applied Mechanics Review,September 1999"The material covered in the book is certainly of a high interest in spite of the long tradition accumulated in the past and a considerable number of textbooks published... the book is intended to be a concise introductory tool to theoretical dynamics and aims to provide the reader with a strong background on the geometrical concepts supporting the formulation of the general equations of motion of constrained mechanical systems... Papastavridis achieves his purpose in handing down a coherent and understandable presentation inclusive of some solved examples and problems... The volume represents a valuable contribution to the dissemination of knowledge in the field of theoretical mechanics and may be recommended for graduate students and researchers in engineering, physics, and applied mathematics."-Meccanica, vol. 35, #5, 2001

Betyg & recensioner

1 recensioner, genomsnitt 2/5

  1. 2/5 Christian W

    Jag köpte boken för utvidga mina kunskaper i tensorberäkningar och ville ha ett komplett verk. Boken verkar mycket riktigt innehålla allt man kan tänkas vilja veta om tensorer, men trots att jag uppfyller alla bokens förkunskapskrav lyckades jag nätt och jämt ta mig igenom första kapitlet. Herr Papastavridis verkar mer intresserad av att briljera med sina vida kunskap inom tensoranalysens nomenklatur än att faktiskt vidarebefodra någon användbar kunskap. Layouten med små korta stycken och fotnoter långa som romaner förstärker bara intrycket att denna bok mer är en sammanställning av författarens post-it-lappar än en pedagogisk lärobok. Jag kan dock tänka mig att den fungerar fint som uppslagsverk om man redan kan väldigt mycket om tensorer.