How Long to Read Uniformization of Riemann Surfaces

How Long Does it Take to Read Uniformization of Riemann Surfaces?

It takes the average reader 8 hours and 36 minutes to read Uniformization of Riemann Surfaces by Henri Paul de Saint-Gervais

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

Description

In 1907 Paul Koebe and Henri Poincaré almost simultaneously proved the uniformization theorem: Every simply connected Riemann surface is isomorphic to the plane, the open unit disc, or the sphere. It took a whole century to get to the point of stating this theorem and providing a convincing proof of it, relying as it did on prior work of Gauss, Riemann, Schwarz, Klein, Poincaré, and Koebe, among others. The present book offers an overview of the maturation process of this theorem. The evolution of the uniformization theorem took place in parallel with the emergence of modern algebraic geometry, the creation of complex analysis, the first stirrings of functional analysis, and with the flowering of the theory of differential equations and the birth of topology. The uniformization theorem was thus one of the lightning rods of 19th century mathematics. Rather than describe the history of a single theorem, our aim is to return to the original proofs, to look at these through the eyes of modern mathematicians, to enquire as to their correctness, and to attempt to make them rigorous while respecting insofar as possible the state of mathematical knowledge at the time, or, if this should prove impossible, then using modern mathematical tools not available to their authors. This book will be useful to today's mathematicians wishing to cast a glance back at the history of their discipline. It should also provide graduate students with a non-standard approach to concepts of great importance for modern research.

How long is Uniformization of Riemann Surfaces?

Uniformization of Riemann Surfaces by Henri Paul de Saint-Gervais is 512 pages long, and a total of 129,024 words.

This makes it 173% the length of the average book. It also has 158% more words than the average book.

How Long Does it Take to Read Uniformization of Riemann Surfaces Aloud?

The average oral reading speed is 183 words per minute. This means it takes 11 hours and 45 minutes to read Uniformization of Riemann Surfaces aloud.

What Reading Level is Uniformization of Riemann Surfaces?

Uniformization of Riemann Surfaces 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 Uniformization of Riemann Surfaces?

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