How Long to Read Selected Works of Ellis Kolchin with Commentary

How Long Does it Take to Read Selected Works of Ellis Kolchin with Commentary?

It takes the average reader 11 hours and 7 minutes to read Selected Works of Ellis Kolchin with Commentary by Ellis Robert Kolchin

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

Description

The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's clear and comprehensive papers--in themselves constituting a history of the subject--is an invaluable aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modeled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a "new geometry" that has led to both a striking and an original approach to arithmetic algebraic geometry. Intriguing possibilities were introduced for a new language for nonlinear differential equations theory. The volume includes commentary by A. Borel, M. Singer, and B. Poizat. Also Buium and Cassidy trace the development of Kolchin's ideas, from his important early work on the differential Galois theory to his later groundbreaking results on the theory of differential algebraic geometry and differential algebraic groups. Commentaries are self-contained with numerous examples of various aspects of differential algebra and its applications. Central topics of Kolchin's work are discussed, presenting the history of differential algebra and exploring how his work grew from and transformed the work of Ritt. New directions of differential algebra are illustrated, outlining important current advances. Prerequisite to understanding the text is a background at the beginning graduate level in algebra, specifically commutative algebra, the theory of field extensions, and Galois theory.

How long is Selected Works of Ellis Kolchin with Commentary?

Selected Works of Ellis Kolchin with Commentary by Ellis Robert Kolchin is 662 pages long, and a total of 166,824 words.

This makes it 223% the length of the average book. It also has 204% more words than the average book.

How Long Does it Take to Read Selected Works of Ellis Kolchin with Commentary Aloud?

The average oral reading speed is 183 words per minute. This means it takes 15 hours and 11 minutes to read Selected Works of Ellis Kolchin with Commentary aloud.

What Reading Level is Selected Works of Ellis Kolchin with Commentary?

Selected Works of Ellis Kolchin with Commentary 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 Selected Works of Ellis Kolchin with Commentary?

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