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Classical Mechanics with Mathematica®; .

BuchGebunden
644 Seiten
Englisch
Springererschienen am11.06.20182. Aufl.
This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.mehr
Verfügbare Formate
BuchGebunden
EUR40,65
BuchKartoniert, Paperback
EUR40,65
E-BookPDF1 - PDF WatermarkE-Book
EUR96,29
E-BookPDF1 - PDF WatermarkE-Book
EUR60,98

Produkt

KlappentextThis textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject.
ZusammenfassungValuable for its wide-ranging yet thorough approach to mechanics, this textbook succeeds in bridging the often daunting divide between classical analytical and modern differential geometries, and reflects the author's decades-long teaching experience.
Details
ISBN/GTIN978-3-319-77594-4
ProduktartBuch
EinbandartGebunden
Verlag
Erscheinungsjahr2018
Erscheinungsdatum11.06.2018
Auflage2. Aufl.
ReiheModeling and Simulation in Science, Engineering and Technology
Seiten644 Seiten
SpracheEnglisch
Gewicht1160 g
IllustrationenXVI, 644 p. 150 illus.
Artikel-Nr.44481082

Inhalt/Kritik

Inhaltsverzeichnis
Part I: Introduction to Linear Algebra and Differential Geometry.- Vector Spaces and Linear Maps.- Tensor Algebra.- Skew-Symmetric Tensors and Exterior Algebra.- Euclidean and Symplectic Vector Spaces.- Duality and Euclidean Tensors.- Differentiable Manifolds.- One-Parameter Groups of Diffeomorphisms.- Exterior Derivative and Integration.- Absolute Differential Calculus.- An Overview of Dynamical Systems.- Part II: Mechanics.- Kinematics of a Point Particle.- Kinematics of Rigid Bodies.- Principles of Dynamics.- Dynamics of a Material Point.- General Principles of Rigid Body Dynamics.- Dynamics of a Rigid Body.- Lagrangian Dynamics.- Hamiltonian Dynamics.- The Hamilton-Jacobi Theory.- Completely Integrable Systems.- Elements of Statistical Mechanics of Equilibrium.- Impulsive Dynamics.- Introduction to Fluid Mechanics.- An Introduction to Celestial Dynamics.- One-Dimensional Continuous Systems.- An Introduction to Special Relativity.- Variational Calculus with Applications.- Appendix A: First-Order PDEs.- Appendix B: Fourier Analysis.- Index.mehr

Autor

Antonio Romano is Professor Emeritus at the Universitá degli Studi di Napoli Federico II in Naples, Italy.
Addolorata Morasco is a Researcher in mathematical physics at the Universitá degli Studi di Napoli Federico II in Naples, Italy.