How Long to Read Abstract Algebra and Famous Impossibilities

How Long Does it Take to Read Abstract Algebra and Famous Impossibilities?

It takes the average reader 3 hours and 55 minutes to read Abstract Algebra and Famous Impossibilities by Sidney A. Morris

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

Description

This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus.

How long is Abstract Algebra and Famous Impossibilities?

Abstract Algebra and Famous Impossibilities by Sidney A. Morris is 233 pages long, and a total of 58,949 words.

This makes it 79% the length of the average book. It also has 72% more words than the average book.

How Long Does it Take to Read Abstract Algebra and Famous Impossibilities Aloud?

The average oral reading speed is 183 words per minute. This means it takes 5 hours and 22 minutes to read Abstract Algebra and Famous Impossibilities aloud.

What Reading Level is Abstract Algebra and Famous Impossibilities?

Abstract Algebra and Famous Impossibilities 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 Abstract Algebra and Famous Impossibilities?

Abstract Algebra and Famous Impossibilities by Sidney A. Morris is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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