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Real quaternionic calculus handbook /

Morais, João Pedro.

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Real quaternionic calculus handbook /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Real quaternionic calculus handbook // João Pedro Morais, Svetlin Georgiev, Wolfgang Sprössig.
作者:	Morais, João Pedro.
其他作者:	Georgiev, Svetlin.
出版者:	Basel ;Birkhauser/Springer, : 2014.,
面頁冊數:	xii, 216 p. :ill ;24 cm.
標題:	Quaternions. -
ISBN:	9783034806213 (pbk.) :

Real quaternionic calculus handbook /
Morais, João Pedro.

Real quaternionic calculus handbook /João Pedro Morais, Svetlin Georgiev, Wolfgang Sprössig. - Basel ;Birkhauser/Springer,2014. - xii, 216 p. :ill ;24 cm.

Includes bibliographical references and index.

An introduction to quaternions --

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 the book 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.

ISBN: 9783034806213 (pbk.) :EUR49.99

LCCN: 2013957805Subjects--Topical Terms:

536600
Quaternions.

LC Class. No.: QA196 / .M673 2014

Dewey Class. No.: 512.5 / 23

Real quaternionic calculus handbook /
LDR:02307cam a2200229Ii 4500 001 1931855
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008 140826s2014 sz b 001 0 eng d
010 $a 2013957805
020 $a 9783034806213 (pbk.) : $c EUR49.99
020 $a 3034806213 (pbk.)
020 $a 9783034806220 (ebk.)
020 $a 3034806221 (ebk.)
040 $a YDXCP $b eng
050 # 4 $a QA196 $b .M673 2014
082 0 4 $a 512.5 $b 23
100 1 $a Morais, João Pedro. $3 2070389
245 1 0 $a Real quaternionic calculus handbook / $c João Pedro Morais, Svetlin Georgiev, Wolfgang Sprössig.
260 # $a Basel ; $a New York : $b Birkhauser/Springer, $c 2014.
300 $a xii, 216 p. : $b ill ; $c 24 cm.
504 $a Includes bibliographical references and index.
505 0 # $t An introduction to quaternions -- $t Quaternions and spatial rotation -- $t Quaternion sequences -- $t Quaternion series and infinite products -- $t Exponents and logarithms -- $t Trigonometric functions -- $t Hyperbolic functions -- $t Inverse hyperbolic and trigonometric functions -- $t Quaternion matrices -- $t Monomials, polynomials and binomials -- $t Solutions.
520 3 $a 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 the book 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.
650 # 0 $a Quaternions. $3 536600
700 1 # $a Georgiev, Svetlin. $3 2058362
700 1 # $a Sprössig, Wolfgang. $3 2070390