Analytical Mechanics (Undergraduate Lecture Notes in Physics)

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Download Analytical Mechanics (Undergraduate Lecture Notes in Physics) written by Carl S.Helrich in PDF format. This book is under the category Engineering and bearing the isbn/isbn13 number 3319444905/9783319444901. You may reffer the table below for additional details of the book.

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Description

This advanced undergraduate Analytical Mechanics (PDF) 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 textbook has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance.

The ebook 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.

Additional information

book-author

Carl S.Helrich

publisher

Springer

file-type

PDF

pages

368 pages

language

English

asin

B01LZOJHWC

isbn10

3319444905

isbn13

9783319444901

Table of contents


Table of contents :
Front Matter….Pages i-xv
History….Pages 1-49
Lagrangian Mechanics….Pages 51-92
Hamiltonian Mechanics….Pages 93-120
Solid Bodies….Pages 121-165
Hamilton–Jacobi Approach….Pages 167-214
Complex Systems….Pages 215-228
Chaos in Dynamical Systems….Pages 229-246
Special Relativity….Pages 247-304
Back Matter….Pages 305-349

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