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Real Quaternionic Calculus Handbook

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Real Quaternionic Calculus Handbook Cover

 

Synopses & Reviews

Publisher Comments:

Real quaternion analysis is a multi-faceted subject. Created to describe phenomena in special relativity, electrodynamics, spin etc., it has developed into a body of material that interacts with many branches of mathematics, such as complex analysis, harmonic analysis, differential geometry, and differential equations. It is also a ubiquitous factor in the description and elucidation of problems in mathematical physics. In the meantime real quaternion analysis has become a well established branch in mathematics and has been greatly successful in many different directions. This book is based on

Synopsis:

This book establishes concrete examples rather than general theorems in its exploration of the multifacted subject of real quaternion analysis. The material is presented in a straightforward writing style, with exercises at the end of each chapter.

About the Author

João

Table of Contents

1 An introduction to quaternions.- 2 Quaternions and spatial rotation.- 3 Applications to plane geometry.- 4 Quaternion sequences.- 5 Quaternion series and infinite products.- 6 Exponents and logarithms.- 7 Trigonometry.- 8 Hyperbolic.- 9 Inverse hyperbolic and trigonometric functions.- 10 Quaternion matrices.- 11 Monomials, polynomials and binomials.​

Product Details

ISBN:
9783034806213
Author:
Morais, Joao Pedro
Publisher:
Birkhauser
Author:
Georgiev, Svetlin
Author:
Morais, João Pedro
Author:
Sprößig, Wolfgang
Location:
Basel
Subject:
Algebra - Abstract
Subject:
quaternion analysis
Subject:
quaternion elementary functions
Subject:
quaternion matrices
Subject:
quaternion operations
Subject:
quaternion sequences, series and products
Subject:
Rotations
Subject:
Non-associative Rings and Algebras
Subject:
Functions of a complex variable.
Subject:
Combinatorics
Subject:
Linear and Multilinear Algebras, Matrix Theory
Subject:
Geometry
Subject:
Mathematics-Abstract Algebra
Subject:
Mathematics
Subject:
The Arts
Subject:
mathematics and statistics
Subject:
Algebra
Subject:
Functions of complex variables
Subject:
matrix theory
Copyright:
Edition Description:
2013
Publication Date:
20130628
Binding:
TRADE PAPER
Language:
English
Pages:
224
Dimensions:
240 x 168 mm

Related Subjects


Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

Real Quaternionic Calculus Handbook New Trade Paper
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Product details 224 pages Birkhauser - English 9783034806213 Reviews:
"Synopsis" by , This book establishes concrete examples rather than general theorems in its exploration of the multifacted subject of real quaternion analysis. The material is presented in a straightforward writing style, with exercises at the end of each chapter.
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