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The Resource Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)

Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)

Label
Classical Mechanics with Mathematica®
Title
Classical Mechanics with Mathematica®
Statement of responsibility
by Antonio Romano, Addolorata Marasco
Creator
Contributor
Author
Subject
Language
eng
Summary
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. Reviews of the First Edition: “The volume represents a real contribution to the field, being useful not only to students but to all readers who wish to have correct and well-written information.” – Petre P. Teodorescu, zbMATH, Vol. 1263, 2013 “By centering his presentation around the major aspects and omitting less important details, the author succeeds in providing a concise though lucid introduction into the mathematical areas. It enjoys many qualities that render this book a promising candidate for becoming a standard text in physics classrooms.” – H. Hogreve, Mathematical Reviews, October 2013.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Romano, Antonio
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Marasco, Addolorata
Series statement
  • Springer eBooks
  • Modeling and Simulation in Science, Engineering and Technology,
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Mathematics
  • Differential geometry
  • Mathematical physics
  • Physics
Label
Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-77595-1
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-319-77595-1
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XVI, 644 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319775951
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-77595-1
Other physical details
150 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1040612727
Label
Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-3-319-77595-1
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
978-3-319-77595-1
Dimensions
unknown
Edition
2nd ed. 2018.
Extent
1 online resource (XVI, 644 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319775951
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-77595-1
Other physical details
150 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1040612727

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