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Critical Point Theory for Lagrangian Systems by Marco Mazzucchelli: New
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Specificaties
- Objectstaat
- Book Title
- Critical Point Theory for Lagrangian Systems
- Publication Date
- 2011-11-11
- ISBN
- 9783034801621
Over dit product
Product Identifiers
Publisher
Springer Basel A&G
ISBN-10
3034801629
ISBN-13
9783034801621
eBay Product ID (ePID)
109065867
Product Key Features
Number of Pages
Xii, 188 Pages
Publication Name
Critical Point Theory for Lagrangian Systems
Language
English
Publication Year
2011
Subject
System Theory, Physics / Mathematical & Computational, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics, Science
Series
Progress in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
16.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Dewey Edition
23
Reviews
From the reviews: "This monograph concerns the use of critical point theory tools in connection with questions of existence and multiplicity of periodic solutions of Lagrangian systems. ... The monograph contains several proofs and seems to be especially suitable for researchers and advanced graduate students interested in applications of critical point theory to boundary value problems for Lagrangian systems." (Maria Letizia Bertotti, Mathematical Reviews, September, 2013) "The results of critical point theory provide powerful techniques to investigate and study aspects of Lagrangian systems such as existence, multiplicity or uniqueness of solutions of the Euler-Lagrange equations with prescribed boundary conditions. ... A bibliography with 88 entries, a list of symbols distributed on each chapter, and a subject index complete the work. The book is self-contained and rigorously presented. Various aspects of it should be of interest to graduate students and researchers in this dynamic field of mathematics." (Dorin Andrica, Zentralblatt MATH, Vol. 1246, 2012), From the reviews: "The results of critical point theory provide powerful techniques to investigate and study aspects of Lagrangian systems such as existence, multiplicity or uniqueness of solutions of the Euler-Lagrange equations with prescribed boundary conditions. ... A bibliography with 88 entries, a list of symbols distributed on each chapter, and a subject index complete the work. The book is self-contained and rigorously presented. Various aspects of it should be of interest to graduate students and researchers in this dynamic field of mathematics." (Dorin Andrica, Zentralblatt MATH, Vol. 1246, 2012), From the reviews:The results of critical point theory provide powerful techniques to investigate and study aspects of Lagrangian systems such as existence, multiplicity or uniqueness of solutions of the Euler-Lagrange equations with prescribed boundary conditions. … A bibliography with 88 entries, a list of symbols distributed on each chapter, and a subject index complete the work. The book is self-contained and rigorously presented. Various aspects of it should be of interest to graduate students and researchers in this dynamic field of mathematics. (Dorin Andrica, Zentralblatt MATH, Vol. 1246, 2012)
Series Volume Number
293
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
514.74
Table Of Content
1 Lagrangian and Hamiltonian systems.- 2 Functional setting for the Lagrangian action.- 3 Discretizations.- 4 Local homology and Hilbert subspaces.- 5 Periodic orbits of Tonelli Lagrangian systems.- A An overview of Morse theory.-Bibliography.- List of symbols.- Index.
Synopsis
Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange's reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical point theory in the twentieth century provided a powerful machinery to investigateexistence and multiplicity questions for orbits of Lagrangian systems. This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory, to Lagrangian dynamics, with particular emphasis toward existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems., Here is a modern account of the application of critical point theory, specifically Morse theory, to Lagrangian dynamics, with particular emphasis on the existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems., Lagrangian systems constitute a very important and old class in dynamics. Their origin dates back to the end of the eighteenth century, with Joseph-Louis Lagrange's reformulation of classical mechanics. The main feature of Lagrangian dynamics is its variational flavor: orbits are extremal points of an action functional. The development of critical point theory in the twentieth century provided a powerful machinery to investigate existence and multiplicity questions for orbits of Lagrangian systems. This monograph gives a modern account of the application of critical point theory, and more specifically Morse theory, to Lagrangian dynamics, with particular emphasis toward existence and multiplicity of periodic orbits of non-autonomous and time-periodic systems.
LC Classification Number
QC19.2-20.85
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