Cantitate/Preț
Produs
Total produse
Vezi coșul
Classical Mechanics: Hamiltonian and Lagrangian Formalism de Alexei Deriglazov

Classical Mechanics: Hamiltonian and Lagrangian Formalism

Autor Alexei Deriglazov
en Limba Engleză Paperback – 16 iun 2018

The revised edition of this advanced textbook provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material.
New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition isthe inclusion of problem sets and solutions to aid in the understanding of the material presented.

The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 136199 lei  6-8 săpt.
  Springer International Publishing – 16 iun 2018 136199 lei  6-8 săpt.
Hardback (2) 93048 lei  6-8 săpt.
  Springer Berlin, Heidelberg – 6 sep 2010 93048 lei  6-8 săpt.
  Springer International Publishing – 18 oct 2016 161602 lei  6-8 săpt.

Preț: 136199 lei

Preț vechi: 166096 lei
-18% Nou

Puncte Express: 2043
Preț estimativ în valută:
26066€ • 27076$ • 21651£

Carte tipărită la comandă

Livrare economică 04-18 februarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783319829951
ISBN-10: 3319829955
Ilustrații: XVI, 445 p. 53 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.71 kg
Ediția:Softcover reprint of the original 2nd ed. 2017
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Cuprins

Sketch of Lagrangian Formalism.- Hamiltonian Formalism.- Canonical Transformations of Two-Dimensional Phase Space.- Properties of Canonical Transformations.- Integral Invariants.- Some Mechanical Problems in a Geometric Setting.- Transformations, Symmetries and Noether Theorem.- Hamiltonian Formalism for Singular Theories.- Classical and Quantum Relativistic Mechanics of a Spinning Particle.- Index.

Recenzii

“In this book, the Hamiltonian and Lagrangian formulations in the frameworks of classical and quantum mechanics are presented. Most of the theoretical results are proved. The examples are interesting. … This book can be used by undergraduate students in physics.” (Cristian Lăzureanu, zbMATH 1364.70001, 2017)

Notă biografică

Prof. Dr. Alexei Anatolevich Deriglazov has studied physics at the Tomsk State University (Russia). He has more than 25 years of teaching experience at the Universities of Sao Paulo, Rio de Janeiro and Juiz de Fora (Brazil) in Mathematical Physics. His research interests are focused on Geometry and Topology, Mathematical Physics and Quantum Physics.



Textul de pe ultima copertă

The revised edition of this advanced text provides the reader with a solid grounding in the formalism of classical mechanics, underlying a number of powerful mathematical methods that are widely used in modern theoretical and mathematical physics. It reviews the fundamentals of Lagrangian and Hamiltonian mechanics, and goes on to cover related topics such as canonical transformations, integral invariants, potential motion in geometric setting, symmetries, the Noether theorem and systems with constraints. While in some cases the formalism is developed beyond the traditional level adopted in the standard textbooks on classical mechanics, only elementary mathematical methods are used in the exposition of the material.

New material for the revised edition includes additional sections on the Euler-Lagrange equation, the Cartan two-form in Lagrangian theory, and Newtonian equations of motion in context of general relativity. Also new for this edition is the inclusionof problem sets and solutions to aid in the understanding of the material presented.

The mathematical constructions involved are explicitly described and explained, so the book is a good starting point for the student new to this field. Where possible, intuitive motivations are replaced by explicit proofs and direct computations, preserving the level of rigor that makes the book useful for more advanced students intending to work in one of the branches of the vast field of theoretical physics. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, examples related to electrodynamics, as well as to relativistic and quantum mechanics, are included.

Caracteristici

New edition with numerous problems with solutions, additional sections deepening the topics Euler-Lagrange, Cartan two-form in Lagrangian theory, Newtonian equations of motion in context of general relativity Discussion of (global) symmetries and the Noether theorem in the framework of classical mechanics gives a new approach not covered by most mechanics textbooks With worked examples, 80 end of chapter exercises and chapter summaries