Analytical Mechanics

Nonfiction, Science & Nature, Science, Physics, Mechanics, Mathematical Physics
Cover of the book Analytical Mechanics by Carl S. Helrich, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Carl S. Helrich ISBN: 9783319444918
Publisher: Springer International Publishing Publication: October 1, 2016
Imprint: Springer Language: English
Author: Carl S. Helrich
ISBN: 9783319444918
Publisher: Springer International Publishing
Publication: October 1, 2016
Imprint: Springer
Language: English

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.

 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

 

More books from Springer International Publishing

Cover of the book Dermatology Simplified by Carl S. Helrich
Cover of the book Towards an Arithmetical Logic by Carl S. Helrich
Cover of the book On Logical, Algebraic, and Probabilistic Aspects of Fuzzy Set Theory by Carl S. Helrich
Cover of the book Women's Networks in Medieval France by Carl S. Helrich
Cover of the book Learning from Data Streams in Evolving Environments by Carl S. Helrich
Cover of the book Advances in Computer Games by Carl S. Helrich
Cover of the book Educational Robotics in the Makers Era by Carl S. Helrich
Cover of the book The Congruent Facelift by Carl S. Helrich
Cover of the book Piezo-Electric Electro-Acoustic Transducers by Carl S. Helrich
Cover of the book Eclipses, Transits, and Comets of the Nineteenth Century by Carl S. Helrich
Cover of the book Introduction to Data Analysis and Graphical Presentation in Biostatistics with R by Carl S. Helrich
Cover of the book Logical Foundations of Computer Science by Carl S. Helrich
Cover of the book The Transatlantic Circulation of Novels Between Europe and Brazil, 1789-1914 by Carl S. Helrich
Cover of the book Simulation and Modeling Methodologies, Technologies and Applications by Carl S. Helrich
Cover of the book Experimental and Applied Mechanics, Volume 6 by Carl S. Helrich
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy