How Long to Read An Algebraic Approach to Geometry

By Francis Borceux

How Long Does it Take to Read An Algebraic Approach to Geometry?

It takes the average reader 7 hours and 10 minutes to read An Algebraic Approach to Geometry by Francis Borceux

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

Description

This is a unified treatment of the various algebraic approaches to geometric spaces. The study of algebraic curves in the complex projective plane is the natural link between linear geometry at an undergraduate level and algebraic geometry at a graduate level, and it is also an important topic in geometric applications, such as cryptography. 380 years ago, the work of Fermat and Descartes led us to study geometric problems using coordinates and equations. Today, this is the most popular way of handling geometrical problems. Linear algebra provides an efficient tool for studying all the first degree (lines, planes) and second degree (ellipses, hyperboloids) geometric figures, in the affine, the Euclidean, the Hermitian and the projective contexts. But recent applications of mathematics, like cryptography, need these notions not only in real or complex cases, but also in more general settings, like in spaces constructed on finite fields. And of course, why not also turn our attention to geometric figures of higher degrees? Besides all the linear aspects of geometry in their most general setting, this book also describes useful algebraic tools for studying curves of arbitrary degree and investigates results as advanced as the Bezout theorem, the Cramer paradox, topological group of a cubic, rational curves etc. Hence the book is of interest for all those who have to teach or study linear geometry: affine, Euclidean, Hermitian, projective; it is also of great interest to those who do not want to restrict themselves to the undergraduate level of geometric figures of degree one or two.

How long is An Algebraic Approach to Geometry?

An Algebraic Approach to Geometry by Francis Borceux is 430 pages long, and a total of 107,500 words.

This makes it 145% the length of the average book. It also has 131% more words than the average book.

How Long Does it Take to Read An Algebraic Approach to Geometry Aloud?

The average oral reading speed is 183 words per minute. This means it takes 9 hours and 47 minutes to read An Algebraic Approach to Geometry aloud.

What Reading Level is An Algebraic Approach to Geometry?

An Algebraic Approach to 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 An Algebraic Approach to Geometry?

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