Undergraduate Lecture Notes in Physics

Analytical Mechanics

Authors: Helrich, Carl S.

  • Leaps directly into the variational approach, bypassing the Newtonian approach entirely, making this book stand out from its competitors
  • Applies a unique approach to teaching mechanics to advanced undergraduates with Lagrangian and Hamiltonian method that is far superior to that of Newton
  • Contains numerous exercises with concise solutions in the text and very detailed solutions in the manual
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eBook $69.99
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-319-44491-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-44490-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

 

About the authors

Prof. Dr. Carl S. Helrich is professor emeritus from Goshen College (USA) with research interests in Condensed Matter Physics, Mathematical Physics and Computational Physics. He received his PhD in Theoretical Plasma Physics from Northwestern University (USA). More than 25 years of teaching experience at Tennessee Space Institute (USA), Research Laboratory Jülich (Germany), Bethel College in Kansas and Goshen College allow for a unique perspective to present analytical mechanics.

Table of contents (8 chapters)

Buy this book

eBook $69.99
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-3-319-44491-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $89.99
price for USA
valid through November 5, 2017
  • ISBN 978-3-319-44490-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analytical Mechanics
Authors
Series Title
Undergraduate Lecture Notes in Physics
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-44491-8
DOI
10.1007/978-3-319-44491-8
Softcover ISBN
978-3-319-44490-1
Series ISSN
2192-4791
Edition Number
1
Number of Pages
XV, 349
Number of Illustrations and Tables
58 b/w illustrations
Topics