skip to content
Universe dynamics : the least action principle and lagrange's equations Preview this item
ClosePreview this item
Checking...

Universe dynamics : the least action principle and lagrange's equations

Author: Jacques Vanier; Cipriana Tomescu
Publisher: Boca Raton, FL : CRC Press, [2019]
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Vanier, Jacques, 1934-
Universe dynamics.
Boca Raton, FL : CRC Press, [2019]
(DLC) 2018041985
(OCoLC)1051688012
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jacques Vanier; Cipriana Tomescu
ISBN: 9780429443473 0429443471 9780429812170 0429812175 9780429812194 0429812191 9780429812187 0429812183
OCLC Number: 1081038644
Description: 1 online resource.
Contents: Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Acknowledgments; Chapter I. Introduction; Chapter II. Selected Elements of Classical and Quantum Physics; A. Framework; Space, Systems of Coordinates; Rotation and Translation of Axes; Elements of Vector Algebra; Generalized Coordinates System; Time; Velocity and Acceleration; Mass; B. Universe Dynamics Using Newton's and Galileo's Principles; Inertia; Force and Acceleration; Action and Reaction; Energy; Gravity; Inertial and Gravitational Mass; Gravitational Field; Gravitational Potential Energy; An Observation The Photon ConceptQuantum Mechanics and Relativity; Chapter III. Search for a Universal Principle; A. A Mathematical Tool: Calculus of Variations; Shortest Path on a Plane; Shortest Path on a Sphere; B. The Principle of Least Action and Lagrange's Equations; C. d'Alembert's Principle; Chapter IV. Selected Applications of Lagrange's Equations; A. A Particle in Motion in a Potential; B. Gravitation; Vertical Motion; Motion in a Plane Vertical to the Earth's Surface; Orbital Motion; C. The Pendulum; D. Conservation Laws and Symmetry; Conservation of Linear Momentum Conservation of Angular MomentumConservation of Energy; E. Hamilton's Equations of Motion; F. Special Relativity; G. Universe Expansion and General Relativity; H. Electromagnetic Force; Chapter V. Fields and Quantum Physics; A. Electromagnetic Field; B. Gravitational Field; C. A Word about Matter Waves and Quantum Mechanics; Chapter VI. Conclusion; References; Index
Responsibility: Jacques Vanier ; in collaboration with Cipriana Tomescu (Université de Montréal).

Abstract:

Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text Written in a clear and easy-to-understand manner

Reviews

Editorial reviews

Publisher Synopsis

"In the preface and introduction to this text, Vanier and Tomescu (both, Univ. of Montreal) rightfully argue that much can be learned about dynamics in all areas of physics through the application of Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/1081038644> # Universe dynamics : the least action principle and lagrange's equations
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
    library:oclcnum "1081038644" ;
    library:placeOfPublication <http://id.loc.gov/vocabulary/countries/flu> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/mechanics> ; # Mechanics
    schema:about <http://dewey.info/class/531.11/e23/> ;
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/physics> ; # Physics
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mechanics_solids> ; # SCIENCE / Mechanics / Solids
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_physics> ; # SCIENCE / Physics
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/least_action> ; # Least action
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mathematical_physics> ; # SCIENCE / Mathematical Physics
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mechanics_general> ; # SCIENCE / Mechanics / General
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/quantum_theory> ; # Quantum theory
    schema:about <http://experiment.worldcat.org/entity/work/data/8851182400#Topic/lagrange_equations> ; # Lagrange equations
    schema:author <http://experiment.worldcat.org/entity/work/data/8851182400#Person/tomescu_cipriana> ; # Cipriana Tomescu
    schema:author <http://experiment.worldcat.org/entity/work/data/8851182400#Person/vanier_jacques_1934> ; # Jacques Vanier
    schema:bookFormat schema:EBook ;
    schema:datePublished "2019" ;
    schema:description "Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; Acknowledgments; Chapter I. Introduction; Chapter II. Selected Elements of Classical and Quantum Physics; A. Framework; Space, Systems of Coordinates; Rotation and Translation of Axes; Elements of Vector Algebra; Generalized Coordinates System; Time; Velocity and Acceleration; Mass; B. Universe Dynamics Using Newton's and Galileo's Principles; Inertia; Force and Acceleration; Action and Reaction; Energy; Gravity; Inertial and Gravitational Mass; Gravitational Field; Gravitational Potential Energy; An Observation"@en ;
    schema:description "Brought together in one focused and exclusive treatment, this book provides an elementary introduction to the important role and use of the least action principle and the resulting Lagrange's equations in the analysis of the laws that govern the universe. It is an ideal complimentary resource to accompany undergraduate courses and textbooks on classical mechanics. Features: Uses mathematics accessible to beginners Brings together the Principle of Least Action, Lagrange's equations, and variational principles in mechanics in one cohesive text Written in a clear and easy-to-understand manner"@en ;
    schema:exampleOfWork <http://worldcat.org/entity/work/id/8851182400> ;
    schema:genre "Electronic books"@en ;
    schema:inLanguage "en" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1051688012> ;
    schema:name "Universe dynamics : the least action principle and lagrange's equations"@en ;
    schema:productID "1081038644" ;
    schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1994568> ;
    schema:url <https://www.taylorfrancis.com/books/9780429443473> ;
    schema:url <http://public.eblib.com/choice/PublicFullRecord.aspx?p=5628933> ;
    schema:workExample <http://worldcat.org/isbn/9780429812194> ;
    schema:workExample <http://worldcat.org/isbn/9780429443473> ;
    schema:workExample <http://worldcat.org/isbn/9780429812170> ;
    schema:workExample <http://worldcat.org/isbn/9780429812187> ;
    wdrs:describedby <http://www.worldcat.org/title/-/oclc/1081038644> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/8851182400#Person/tomescu_cipriana> # Cipriana Tomescu
    a schema:Person ;
    schema:familyName "Tomescu" ;
    schema:givenName "Cipriana" ;
    schema:name "Cipriana Tomescu" ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Person/vanier_jacques_1934> # Jacques Vanier
    a schema:Person ;
    schema:birthDate "1934" ;
    schema:familyName "Vanier" ;
    schema:givenName "Jacques" ;
    schema:name "Jacques Vanier" ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Topic/lagrange_equations> # Lagrange equations
    a schema:Intangible ;
    schema:name "Lagrange equations"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mathematical_physics> # SCIENCE / Mathematical Physics
    a schema:Intangible ;
    schema:name "SCIENCE / Mathematical Physics"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mechanics_general> # SCIENCE / Mechanics / General
    a schema:Intangible ;
    schema:name "SCIENCE / Mechanics / General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_mechanics_solids> # SCIENCE / Mechanics / Solids
    a schema:Intangible ;
    schema:name "SCIENCE / Mechanics / Solids"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/8851182400#Topic/science_physics> # SCIENCE / Physics
    a schema:Intangible ;
    schema:name "SCIENCE / Physics"@en ;
    .

<http://worldcat.org/isbn/9780429443473>
    a schema:ProductModel ;
    schema:isbn "0429443471" ;
    schema:isbn "9780429443473" ;
    .

<http://worldcat.org/isbn/9780429812170>
    a schema:ProductModel ;
    schema:isbn "0429812175" ;
    schema:isbn "9780429812170" ;
    .

<http://worldcat.org/isbn/9780429812187>
    a schema:ProductModel ;
    schema:isbn "0429812183" ;
    schema:isbn "9780429812187" ;
    .

<http://worldcat.org/isbn/9780429812194>
    a schema:ProductModel ;
    schema:isbn "0429812191" ;
    schema:isbn "9780429812194" ;
    .

<http://www.worldcat.org/oclc/1051688012>
    a schema:CreativeWork ;
    rdfs:label "Universe dynamics." ;
    schema:description "Print version:" ;
    schema:isSimilarTo <http://www.worldcat.org/oclc/1081038644> ; # Universe dynamics : the least action principle and lagrange's equations
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.