Classical Mechanics with Mathematica®
2nd Edition
Published on 5. January 2019
Book
Paperback/Softback
XVI, 644 pages
978-3-030-08489-9 (ISBN)
Description
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. Developed by the authors from over 30 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field-from Newton to Hamilton-while also painting a clear picture of the most modern developments.
The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton-Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material.Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.
More details
Product info
Previously published in hardcover
Series
Edition
Softcover reprint of the original 2nd ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Edition type
Revised edition
Illustrations
150
150 s/w Abbildungen
150 Illustrations, black and white; XVI, 644 p. 150 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 36 mm
Weight
984 gr
ISBN-13
978-3-030-08489-9 (9783030084899)
DOI
10.1007/978-3-319-77595-1
Schweitzer Classification
Other editions
Additional editions
Antonio Romano | Addolorata Marasco
Classical Mechanics with Mathematica®
Book
06/2018
2nd Edition
Birkhäuser
€85.59
Shipment within 10-15 days
Persons
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.
Addolorata Morasco is a Researcher in mathematical physics at the Universitá degli Studi di Napoli Federico II in Naples, Italy.
Content
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.