How Long to Read Foundations of Arithmetic Differential Geometry

How Long Does it Take to Read Foundations of Arithmetic Differential Geometry?

It takes the average reader 5 hours and 49 minutes to read Foundations of Arithmetic Differential Geometry by Alexandru Buium

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

Description

The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of integers plays the role of a ring of functions on an infinite dimensional manifold. The role of coordinate functions on this manifold is played by the prime numbers. The role of partial derivatives of functions with respect to the coordinates is played by the Fermat quotients of integers with respect to the primes. The role of metrics is played by symmetric matrices with integer coefficients. The role of connections (respectively curvature) attached to metrics is played by certain adelic (respectively global) objects attached to the corresponding matrices. One of the main conclusions of the theory is that the spectrum of the integers is “intrinsically curved”; the study of this curvature is then the main task of the theory. The book follows, and builds upon, a series of recent research papers. A significant part of the material has never been published before.

How long is Foundations of Arithmetic Differential Geometry?

Foundations of Arithmetic Differential Geometry by Alexandru Buium is 344 pages long, and a total of 87,376 words.

This makes it 116% the length of the average book. It also has 107% more words than the average book.

How Long Does it Take to Read Foundations of Arithmetic Differential Geometry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 7 hours and 57 minutes to read Foundations of Arithmetic Differential Geometry aloud.

What Reading Level is Foundations of Arithmetic Differential Geometry?

Foundations of Arithmetic Differential Geometry 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 Foundations of Arithmetic Differential Geometry?

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