The Resource Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)
Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)
Resource Information
The item Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 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, onedimensional 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 wellwritten 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.
 Language
 eng
 Edition
 2nd ed. 2018.
 Extent
 1 online resource (XVI, 644 pages)
 Contents

 Part I: Introduction to Linear Algebra and Differential Geometry
 Vector Spaces and Linear Maps
 Tensor Algebra
 SkewSymmetric Tensors and Exterior Algebra
 Euclidean and Symplectic Vector Spaces
 Duality and Euclidean Tensors
 Differentiable Manifolds
 OneParameter 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 HamiltonJacobi Theory
 Completely Integrable Systems
 Elements of Statistical Mechanics of Equilibrium
 Impulsive Dynamics
 Introduction to Fluid Mechanics
 An Introduction to Celestial Dynamics
 OneDimensional Continuous Systems
 An Introduction to Special Relativity
 Variational Calculus with Applications
 Appendix A: FirstOrder PDEs
 Appendix B: Fourier Analysis
 Index
 Isbn
 9783319775951
 Label
 Classical Mechanics with Mathematica®
 Title
 Classical Mechanics with Mathematica®
 Statement of responsibility
 by Antonio Romano, Addolorata Marasco
 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, onedimensional 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 wellwritten 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.
 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)
 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  SkewSymmetric Tensors and Exterior Algebra  Euclidean and Symplectic Vector Spaces  Duality and Euclidean Tensors  Differentiable Manifolds  OneParameter 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 HamiltonJacobi Theory  Completely Integrable Systems  Elements of Statistical Mechanics of Equilibrium  Impulsive Dynamics  Introduction to Fluid Mechanics  An Introduction to Celestial Dynamics  OneDimensional Continuous Systems  An Introduction to Special Relativity  Variational Calculus with Applications  Appendix A: FirstOrder PDEs  Appendix B: Fourier Analysis  Index
 Control code
 9783319775951
 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, noncommercial 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
 10.1007/9783319775951
 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)
 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  SkewSymmetric Tensors and Exterior Algebra  Euclidean and Symplectic Vector Spaces  Duality and Euclidean Tensors  Differentiable Manifolds  OneParameter 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 HamiltonJacobi Theory  Completely Integrable Systems  Elements of Statistical Mechanics of Equilibrium  Impulsive Dynamics  Introduction to Fluid Mechanics  An Introduction to Celestial Dynamics  OneDimensional Continuous Systems  An Introduction to Special Relativity  Variational Calculus with Applications  Appendix A: FirstOrder PDEs  Appendix B: Fourier Analysis  Index
 Control code
 9783319775951
 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, noncommercial 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
 10.1007/9783319775951
 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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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/ClassicalMechanicswithMathematica%C2%AEbyAntonio/NwYyafRDOsA/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/ClassicalMechanicswithMathematica%C2%AEbyAntonio/NwYyafRDOsA/">Classical Mechanics with Mathematica®, by Antonio Romano, Addolorata Marasco, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>