It takes the average reader 12 hours and 48 minutes to read Differential Geometry and Mathematical Physics by Gerd Rudolph
Assuming a reading speed of 250 words per minute. Learn more
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact.
Differential Geometry and Mathematical Physics by Gerd Rudolph is 762 pages long, and a total of 192,024 words.
This makes it 257% the length of the average book. It also has 235% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 17 hours and 29 minutes to read Differential Geometry and Mathematical Physics aloud.
Differential Geometry and Mathematical Physics is suitable for students ages 12 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.
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