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# ๐ Geometric Algebra (Tracts in Pure & Applied Mathematics) by Emil Artin โ free pdf

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This is a well written classic text on the connection between algebra and geometry. Some of the topics covered include a reconstruction of affine geometry of a field (or division ring) from geometric axioms. A geometry is a triple of a set of points, a set of lines, and a binary relation describing when a point lies on a line and satisfying the following three axioms: (1) any two distinct points are connected by a unique line, (2) given a point P and a line l, there exists a unique line m parallel to l through P, and (3) there exist three points that are not collinear. In order to construct a ring out of this geometry, one must introduce a additional axiom. Axiom 4a: Given any two distinct points P and Q, there exists a translation taking P to Q. In order to show that this ring is a division ring, one must further assume Axiom 4b: Between any two translations with the same direction, there exists a direction preserving homomorphism of the group of translations taking the first translation to the second. Of courses, the notion of translation and direction-preserving needs to be made more precise and this is done in the text.
Of course, the description above covers only a small portion of the book.

## About book:

## About file:

Security code:

- Series:
**Tracts in Pure & Applied Mathematics** - Author:
**Emil Artin** - Year:
**1957** - Publisher:
**John Wiley & Sons Inc** - Language:
**English** - ISBN:
**0470034327,9780470034323**

- File size:
**3 259 884** - Format:
**djvu**

Security code:

This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory. It's target readership is anyone who has some knowledge of electromagnetic theory, predominantl...

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It too...

In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from differ...

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Probabilistic Expert Systems emphasizes the basic computational principles that make probabilistic reasoning feasible in expert systems. The key to computation in these systems is the modularity of the probabilistic model. Shafer describes and compares th...

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The first complete history of Central Eurasia from ancient times to the present day, Empires of the Silk Road represents a fundamental rethinking of the origins, history, and significance of this major world region. Christopher Beckwith describes the ri...

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With a renewed emphasis on national and homeland security, the United States is once again seeking to balance the needs of the state with both the rights of its citizens as well as those of other nations. This book represents an interdisciplinary approach...

The legacy of environmental catastrophe in the states of the former Soviet Union includes desertification, pollution, and the toxic aftermath of industrial accidents, the most notorious of which was the Chernobyl disaster of 1986. This book examines the d...

Almost overnight, EPUB has become the favored standard for displaying digital text on ereaders. The EPUB specification is a powerful method for creating gorgeous ebooks for EPUB-capable readers such as the iPad, Nook, and Kindle. Alas, it is far from perf...

Loaded with information on the design of work systems, workplaces, and workstations as well as human anthropometics, Ergonomics for Beginners: A Quick Reference Guide, Third Edition provides a useful quick reference and valuable tool for novices and exper...

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Traceability โ the ability to track a product from farm to plate โ is now widely used in the food sector for a range of purposes: it allows companies to improve efficiency, facilitates product recall, and helps producers flag the specific characteristics ...