Product Information
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.Product Identifiers
PublisherSpringer International Publishing A&G
ISBN-139783319444901
eBay Product ID (ePID)225805754
Product Key Features
Number of Pages349 Pages
LanguageEnglish
Publication NameAnalytical Mechanics
Publication Year2016
SubjectMechanics, Physics
TypeTextbook
AuthorCarl S. Helrich
Subject AreaMechanical Engineering
SeriesUndergraduate Lecture Notes in Physics
FormatPaperback
Dimensions
Item Height235 mm
Item Weight5562 g
Additional Product Features
Country/Region of ManufactureSwitzerland
Title_AuthorCarl S. Helrich