How Long to Read Introduction to Smooth Manifolds

How Long Does it Take to Read Introduction to Smooth Manifolds?

It takes the average reader 12 hours and 10 minutes to read Introduction to Smooth Manifolds by John Lee

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

Description

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. This second edition has been extensively revised and clarified, and the topics have been substantially rearranged. The book now introduces the two most important analytic tools, the rank theorem and the fundamental theorem on flows, much earlier so that they can be used throughout the book. A few new topics have been added, notably Sard’s theorem and transversality, a proof that infinitesimal Lie group actions generate global group actions, a more thorough study of first-order partial differential equations, a brief treatment of degree theory for smooth maps between compact manifolds, and an introduction to contact structures. Prerequisites include a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis.

How long is Introduction to Smooth Manifolds?

Introduction to Smooth Manifolds by John Lee is 708 pages long, and a total of 182,664 words.

This makes it 239% the length of the average book. It also has 223% more words than the average book.

How Long Does it Take to Read Introduction to Smooth Manifolds Aloud?

The average oral reading speed is 183 words per minute. This means it takes 16 hours and 38 minutes to read Introduction to Smooth Manifolds aloud.

What Reading Level is Introduction to Smooth Manifolds?

Introduction to Smooth Manifolds 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.

Where Can I Buy Introduction to Smooth Manifolds?

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