How Long to Read Euclidean Geometry and its Subgeometries

How Long Does it Take to Read Euclidean Geometry and its Subgeometries?

It takes the average reader 9 hours and 1 minute to read Euclidean Geometry and its Subgeometries by Edward John Specht

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

Description

In this monograph, the authors present a modern development of Euclidean geometry from independent axioms, using up-to-date language and providing detailed proofs. The axioms for incidence, betweenness, and plane separation are close to those of Hilbert. This is the only axiomatic treatment of Euclidean geometry that uses axioms not involving metric notions and that explores congruence and isometries by means of reflection mappings. The authors present thirteen axioms in sequence, proving as many theorems as possible at each stage and, in the process, building up subgeometries, most notably the Pasch and neutral geometries. Standard topics such as the congruence theorems for triangles, embedding the real numbers in a line, and coordinatization of the plane are included, as well as theorems of Pythagoras, Desargues, Pappas, Menelaus, and Ceva. The final chapter covers consistency and independence of axioms, as well as independence of definition properties. There are over 300 exercises; solutions to many of these, including all that are needed for this development, are available online at the homepage for the book at www.springer.com. Supplementary material is available online covering construction of complex numbers, arc length, the circular functions, angle measure, and the polygonal form of the Jordan Curve theorem. Euclidean Geometry and Its Subgeometries is intended for advanced students and mature mathematicians, but the proofs are thoroughly worked out to make it accessible to undergraduate students as well. It can be regarded as a completion, updating, and expansion of Hilbert's work, filling a gap in the existing literature.

How long is Euclidean Geometry and its Subgeometries?

Euclidean Geometry and its Subgeometries by Edward John Specht is 527 pages long, and a total of 135,439 words.

This makes it 178% the length of the average book. It also has 166% more words than the average book.

How Long Does it Take to Read Euclidean Geometry and its Subgeometries Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 20 minutes to read Euclidean Geometry and its Subgeometries aloud.

What Reading Level is Euclidean Geometry and its Subgeometries?

Euclidean Geometry and its Subgeometries 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 Euclidean Geometry and its Subgeometries?

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