LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Classical mechanics with Mathematica® ([Ebook]) / by Romano Antonio.
Author	Romano, Antonio
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser
Publication	, 2012.
Physical Details	XIV, 506 pages. 127 illus. : online resource.
Series	Modeling and Simulation in Science, Engineering and Technology 2164-3679
ISBN	9780817683528
Summary Note	This textbook takes a broadÂ yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Developed by the authorÂ from 35 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 Lagrange while also painting a clear picture of the most modern developments.Â Throughout, it makes heavy use of the powerful tools offered by MathematicaÂ® . The volume 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. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with MathematicaÂ is an excellent resource for graduate students in physics. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics..:
Contents note	I Introduction to Linear Algebra and Differential Geometry.-1 Vector Space and Linear Maps.- 2 Tensor Algebra.-Â 3 Skew-symmetric Tensors and Exterior Algebra.- 4 Euclidean and Symplectic Vector Spaces.- 5 Duality and Euclidean Tensors.- 6 Differentiable Manifolds.- 7 One-Parameter Groups of Diffeomorphisms.- 8 Exterior Derivative and Integration.- 9 Absolute Differential Calculus -- 10 An Overview of Dynamical Systems.- II Mechanics.- 11 Kinematics of a Point Particle.-Â 12 Kinematics of Rigid Bodies.-Â 13 Principles of Dynamics.-Â 14 Dynamics of a Material Point.-Â 15 General Principles of Rigid Body Dynamics.- 16 Dynamics of a Rigid Body.-17 Lagrangian Dynamics.- 18 Hamiltonian Dynamics.- 19 Hamilton-Jacobi Theory.- 20 Completely Integrable Systems.- 21 Elements of Statistical Mechanics of Equilibrium.- 22 Impulsive Dynamics.- 23 Introduction to Fluid Mechanics -- A First-Order PDE.-Â B Fourierâs Series.- References.-Â Index.
System details note	Online access to this digital book is restricted to subscription institutions and access is available through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-8352-8
Links to Related Works	Subject References: Differential Geometry . Fluid- and Aerodynamics . Global differential geometry . Mathematical Methods in Physics . Mathematical Physics . Mechanics . Authors: Romano, Antonio . Corporate Authors: SpringerLink (Online service) . Series: Modeling and Simulation in Science, Engineering and Technology . Classification: 516.36 .

Catalogue Display

Classical mechanics with Mathematica®

Reviews