벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane

Alexander Macfarlane 지음

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벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane
쿼터니언 quaternions 사원수.
벡터와 쿼터니언 quaternions 사원수 에 대해서 쓴책. 고도의 수학 분야임.

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벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane
Contents
Editors’ Preface iii
Author’s Preface iv
1 Introduction. 1
2 Addition of Coplanar Vectors. 3
3 Products of Coplanar Vectors. 9
4 Coaxial Quaternions. 16
5 Addition of Vectors in Space. 21
6 Product of Two Vectors. 23
7 Product of Three Vectors. 28
8 Composition of Quantities. 32
9 Spherical Trigonometry. 37
10 Composition of Rotations. 44
Index 47

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벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane
쿼터니언 quaternions 사원수.
벡터와 쿼터니언 quaternions 사원수 에 대해서 쓴책. 고도의 수학 분야임.

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벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane
Author’s Preface
Since this Introduction to Vector Analysis and Quaternions was first published
in 1896, the study of the subject has become much more general; and whereas
some reviewers then regarded the analysis as a luxury, it is now recognized as a
necessity for the exact student of physics or engineering. In America, Professor
Hathaway has published a Primer of Quaternions (New York, 1896), and Dr.
Wilson has amplified and extended Professor Gibbs’ lectures on vector analysis
into a text-book for the use of students of mathematics and physics (New York,
1901). In Great Britain, Professor Henrici and Mr. Turner have published a
manual for students entitled Vectors and Rotors (London, 1903); Dr. Knott
has prepared a new edition of Kelland and Tait’s Introduction to Quaternions
(London, 1904); and Professor Joly has realized Hamilton’s idea of a Manual of
Quaternions (London, 1905). In Germany Dr. Bucherer has published Elemente
der Vektoranalysis (Leipzig, 1903) which has now reached a second edition.
Also the writings of the great masters have been rendered more accessible.
A new edition of Hamilton’s classic, the Elements of Quaternions, has been pre pared by Professor Joly (London, 1899, 1901); Tait’s Scientific Papers have been
reprinted in collected form (Cambridge, 1898, 1900); and a complete edition of
Grassmann’s mathematical and physical works has been edited by Friedrich En gel with the assistance of several of the eminent mathematicians of Germany
(Leipzig, 1894？). In the same interval many papers, pamphlets, and discussions
have appeared. For those who desire information on the literature of the subject
a Bibliography has been published by the Association for the promotion of the
study of Quaternions and Allied Mathematics (Dublin, 1904).
There is still much variety in the matter of notation, and the relation of
Vector Analysis to Quaternions is still the subject of discussion (see Journal of
the Deutsche Mathematiker-Vereinigung for 1904 and 1905).
Chatham, Ontario, Canada, December, 1905.

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저자(글) Alexander Macfarlane

벡터의 분석과 사원수.Vector Analysis and Quaternions , by Alexander Macfarlane
미국의 학자.
VECTOR ANALYSIS
and
QUATERNIONS.
by
ALEXANDER MACFARLANE,
Secretary of International Association for Promoting the Study of Quaternions.
NEW YORK:
JOHN WILEY & SONS.
London: CHAPMAN & HALL, Limited.
1906.