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020 _a9783031552021
_9978-3-031-55202-1
024 7 _a10.1007/978-3-031-55202-1
_2doi
050 4 _aQC120-168.85
050 4 _aQA808.2
072 7 _aPHD
_2bicssc
072 7 _aSCI041000
_2bisacsh
072 7 _aPHD
_2thema
100 1 _aMohallem, José Rachid.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_976852
245 1 0 _aLagrangian and Hamiltonian Mechanics
_h[electronic resource] :
_bA Modern Approach with Core Principles and Underlying Topics /
_cby José Rachid Mohallem.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXI, 142 p. 23 illus., 2 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1: Fundamentals -- Chapter 2: Lagrangian mechanics with L = T – V -- Chapter 3: Hamiltonian mechanics -- Chapter 4: Lagrangian and Hamiltonian introduction of field theory.
520 _aThis book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks. Readers are provided with a clear understanding of topics that are usually inaccessible to the undergraduate level and that are critical to learning Lagrangian and Hamiltonian mechanics. Each chapter also includes worked problems and solutions, as well as additional exercises for readers to try. This book begins with the fundamentals of analytical mechanics, concisely introducing readers to the calculus of variations, Hamilton’s Principle, and Lagrange’s equations. While presenting readers with these core topics, the author uses an intuitive approach to delve into essential questions, such as where Galilean invariance lies in Lagrangian mechanics and how Hamilton’s Principle of Least Action encompasses Newton’s three laws, interesting conclusions that often go unnoticed. In fact, Hamilton’s principle is taken throughout as the very origin of classical physical laws, and the choice of appropriate Lagrangians in each case as the real theoretical challenge, meaning that forms of Lagrangian which differ from the standard one are not mere curiosities but, instead, the general rule. This book clarifies common misunderstandings that students face when learning the subject and formally rationalizes concepts that are often difficult to grasp. In addition, the final chapter provides an introduction to a Lagrangian field theory for those interested in learning more advanced topics. Ideal for upper undergraduate and graduate students, this book seeks to teach the intrinsic meaning of the principles and equations taught in an analytical mechanics course and convey their usefulness as powerful theoretical instruments of modern physics.
650 0 _aMechanics.
_968102
650 0 _aMathematical physics.
650 0 _aOperator theory.
650 1 4 _aClassical Mechanics.
_968103
650 2 4 _aMathematical Methods in Physics.
_970877
650 2 4 _aMathematical Physics.
650 2 4 _aOperator Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031552014
776 0 8 _iPrinted edition:
_z9783031552038
776 0 8 _iPrinted edition:
_z9783031552045
856 4 0 _uhttps://doi.org/10.1007/978-3-031-55202-1
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c59870
_d59870