It takes the average reader 4 hours and 30 minutes to read Differential Forms for Cartan-Klein Geometry by Jose G. Vargas
Assuming a reading speed of 250 words per minute. Learn more
This book lets readers understand differential geometry with differential forms. It is unique in providing detailed treatments of topics not normally found elsewhere, like the programs of B. Riemann and F. Klein in the second half of the 19th century, and their being superseded by E. Cartan in the twentieth. Several conservation laws are presented in a unified way. The Einstein 3-form rather than the Einstein tensor is emphasized; their relationship is shown. Examples are chosen for their pedagogic value. Numerous advanced comments are sprinkled throughout the text. The equations of structure are addressed in different ways. First, in affine and Euclidean spaces, where torsion and curvature simply happen to be zero. In a second approach, the 2-torus and the punctured plane and 2-sphere are endowed with the "Columbus connection," torsion becoming a concept which could have been understood even by sailors of the 15th century. Those equations are then presented as the breaking of integrability conditions for connection equations. Finally, a topological definition brings together the concepts of connection and equations of structure. These options should meet the needs and learning objectives of readers with very different backgrounds. Dr Howard E Brandt
Differential Forms for Cartan-Klein Geometry by Jose G. Vargas is 270 pages long, and a total of 67,500 words.
This makes it 91% the length of the average book. It also has 82% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours and 8 minutes to read Differential Forms for Cartan-Klein Geometry aloud.
Differential Forms for Cartan-Klein 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.
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