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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Geometric Multiplication of Vectors - An Introduction to Geometric Algebra in Physics (Paperback, 1st ed. 2019)
Loot Price: R1,062
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Geometric Multiplication of Vectors - An Introduction to Geometric Algebra in Physics (Paperback, 1st ed. 2019)
Series: Compact Textbooks in Mathematics
Expected to ship within 9 - 15 working days
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This book enables the reader to discover elementary concepts of
geometric algebra and its applications with lucid and direct
explanations. Why would one want to explore geometric algebra? What
if there existed a universal mathematical language that allowed
one: to make rotations in any dimension with simple formulas, to
see spinors or the Pauli matrices and their products, to solve
problems of the special theory of relativity in three-dimensional
Euclidean space, to formulate quantum mechanics without the
imaginary unit, to easily solve difficult problems of
electromagnetism, to treat the Kepler problem with the formulas for
a harmonic oscillator, to eliminate unintuitive matrices and
tensors, to unite many branches of mathematical physics? What if it
were possible to use that same framework to generalize the complex
numbers or fractals to any dimension, to play with geometry on a
computer, as well as to make calculations in robotics, ray-tracing
and brain science? In addition, what if such a language provided a
clear, geometric interpretation of mathematical objects, even for
the imaginary unit in quantum mechanics? Such a mathematical
language exists and it is called geometric algebra. High school
students have the potential to explore it, and undergraduate
students can master it. The universality, the clear geometric
interpretation, the power of generalizations to any dimension, the
new insights into known theories, and the possibility of computer
implementations make geometric algebra a thrilling field to
unearth.
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