How Long to Read A Primer of Analytical Mechanics

How Long Does it Take to Read A Primer of Analytical Mechanics?

It takes the average reader 1 hour and 55 minutes to read A Primer of Analytical Mechanics by Franco Strocchi

Assuming a reading speed of 250 words per minute. Learn more

Description

This book presents the basic elements of Analytical Mechanics, starting from the physical motivations that favor it with respect to the Newtonian Mechanics in Cartesian coordinates. Rather than presenting Analytical Mechanics mainly as a formal development of Newtonian Mechanics, it highlights its effectiveness due to the following five important achievements: 1) the most economical description of time evolution in terms of the minimal set of coordinates, so that there are no constraint forces in their evolution equations; 2) the form invariance of the evolution equations, which automatically solves the problem of fictitious forces; 3) only one scalar function encodes the formulation of the dynamics, rather than the full set of vectors which describe the forces in Cartesian Newtonian Mechanics; 4) in the Hamiltonian formulation, the corresponding evolution equations are of first order in time and are fully governed by the Hamiltonian function (usually corresponding to the energy); 5) the emergence of the Hamiltonian canonical algebra and its effectiveness in simplifying the control of the dynamical problem (e.g. the constant of motions identified by the Poisson brackets with the Hamiltonian, the relation between symmetries and conservations laws, the use of canonical transformations to reduce the Hamiltonian to a simpler form etc.). The book also addresses a number of points usually not included in textbook presentations of Analytical Mechanics, such as 1) the characterization of the cases in which the Hamiltonian differs from the energy, 2) the characterization of the non-uniqueness of the Lagrangian and of the Hamiltonian and its relation to a “gauge” transformation, 3) the Hamiltonian formulation of the Noether theorem, with the possibility that the constant of motion corresponding to a continuous symmetry of the dynamics is not the canonical generator of the symmetry transformation but also involves the generator of a gauge transformation. In turn, the book’s closing chapter is devoted to explaining the extraordinary analogy between the canonical structure of Classical and Quantum Mechanics. By correcting the Dirac proposal for such an explanation, it demonstrates that there is a common Poisson algebra shared by Classical and Quantum Mechanics, the differences between the two theories being reducible to the value of the central variable of that algebra.

How long is A Primer of Analytical Mechanics?

A Primer of Analytical Mechanics by Franco Strocchi is 114 pages long, and a total of 28,956 words.

This makes it 38% the length of the average book. It also has 35% more words than the average book.

How Long Does it Take to Read A Primer of Analytical Mechanics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 38 minutes to read A Primer of Analytical Mechanics aloud.

What Reading Level is A Primer of Analytical Mechanics?

A Primer of Analytical Mechanics is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy A Primer of Analytical Mechanics?

A Primer of Analytical Mechanics by Franco Strocchi is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

To buy A Primer of Analytical Mechanics by Franco Strocchi on Amazon click the button below.