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Real Quaternionic Calculus Handbook / by João Pedro Morais, Svetlin Georgiev, Wolfgang Sprößig.
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Morais, João Pedro, Author.
- Georgiev, Svetlin, Author.
- Sprössig, Wolfgang, Author.
- Language:
- English
- Subjects (All):
- Nonassociative rings.
- Functions of complex variables.
- Discrete mathematics.
- Algebras, Linear.
- Geometry.
- Non-associative Rings and Algebras.
- Functions of a Complex Variable.
- Discrete Mathematics.
- Linear Algebra.
- Local Subjects:
- Non-associative Rings and Algebras.
- Functions of a Complex Variable.
- Discrete Mathematics.
- Linear Algebra.
- Geometry.
- Physical Description:
- 1 online resource (222 p.)
- Edition:
- 1st ed. 2014.
- Place of Publication:
- Basel : Springer Basel : Imprint: Birkhäuser, 2014.
- Language Note:
- English
- Summary:
- 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 concrete examples and exercises rather than general theorems, thus making it suitable for an introductory one- or two-semester undergraduate course on some of the major aspects of real quaternion analysis in exercises. Alternatively, it may be used for beginning graduate level courses and as a reference work. With exercises at the end of each chapter and its straightforward writing style thebook addresses readers who have no prior knowledge on this subject but have a basic background in graduate mathematics courses, such as real and complex analysis, ordinary differential equations, partial differential equations, and theory of distributions.
- Contents:
- 1 An introduction to quaternions
- 2 Quaternions and spatial rotation
- 3 Quaternion sequences
- 4 Quaternion series and infinite products
- 5 Exponents and logarithms
- 6 Trigonometric functions
- 7 Hyperbolic functions
- 8 Inverse hyperbolic and trigonometric functions
- 9 Quaternion matrices
- 10 Monomials, polynomials and binomials
- 11 Solutions
- Bibliography
- Index.
- Notes:
- Description based upon print version of record.
- Includes bibliographical references (pages [211]-213) and index.
- Description based on publisher supplied metadata and other sources.
- ISBN:
- 3-0348-0622-1
- OCLC:
- 922907656
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