How Long to Read Introduction to Geometry and Topology

How Long Does it Take to Read Introduction to Geometry and Topology?

It takes the average reader 2 hours and 55 minutes to read Introduction to Geometry and Topology by Werner Ballmann

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

Description

This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the nature of deeper topological problems. The second chapter of the book introduces manifolds and Lie groups, and examines a wide assortment of examples. Further discussion explores tangent bundles, vector bundles, differentials, vector fields, and Lie brackets of vector fields. This discussion is deepened and expanded in the third chapter, which introduces the de Rham cohomology and the oriented integral and gives proofs of the Brouwer Fixed-Point Theorem, the Jordan-Brouwer Separation Theorem, and Stokes's integral formula. The fourth and final chapter is devoted to the fundamentals of differential geometry and traces the development of ideas from curves to submanifolds of Euclidean spaces. Along the way, the book discusses connections and curvature--the central concepts of differential geometry. The discussion culminates with the Gauß equations and the version of Gauß's theorema egregium for submanifolds of arbitrary dimension and codimension. This book is primarily aimed at advanced undergraduates in mathematics and physics and is intended as the template for a one- or two-semester bachelor's course.

How long is Introduction to Geometry and Topology?

Introduction to Geometry and Topology by Werner Ballmann is 169 pages long, and a total of 43,771 words.

This makes it 57% the length of the average book. It also has 53% more words than the average book.

How Long Does it Take to Read Introduction to Geometry and Topology Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 59 minutes to read Introduction to Geometry and Topology aloud.

What Reading Level is Introduction to Geometry and Topology?

Introduction to Geometry and Topology 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 Introduction to Geometry and Topology?

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