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Adventures in the World of Matrices~tqw~_darksiderg

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Adventures in the World of Matrices~tqw~_darksiderg

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Name:Adventures in the World of Matrices~tqw~_darksiderg

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Last Updated: 2010-09-16 18:59:04 (Update Now)

Torrent added: 2009-08-20 18:52:25




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INFO
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Title................: Adventures in the World of Matrices
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 1.55 MB
Torrent Hash.........: B49FCBD7CFF76E53B8B2CA5C3460DE6319D02097
Posted by............: ~tqw~

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hxxp://tracker.bitreactor.to:2710/announce
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CONTENTS
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Adventures in the World of Matrices~tqw~_darksiderg preview 0
Synopsis:
A mathematical matrix can be defined as a rectangular table consisting of
abstract quantities that can be added and multiplied. While the term matrix
is relatively recent in the literature (it was introduced in 1850 by James
Joseph Sylvester), the use of matrices goes back to ancient China, with the
study of systems of simultaneous linear equations. Matrices are universally
present in mathematics as well as in various disciplines of science. The
theory of matrices is one of the richest, most abstract and useful branches
of mathematics. There are various classes of matrices, among them is the
collection of cycle matrices, or matrices whose entries appear in somehow
alternating or periodic manner. These cycle matrices were discovered by the
author Paulus Gerdes while analyzing mathematical properties of African
traditional drawings from Angola. Cycle matrices present interesting and
beautiful visual characteristics.

Table Of Contents:
Acknowledgements vii
Preface xi
Presentation 1
Chapter 1 The Concept of a Matrix 3
Chapter 2 Cycles of Numbers 9
Chapter 3 Some Matrices of Alternating Cycles 11
Chapter 4 Alternating Cycle Matrices of Dimensions 4 by 4. First Part 17
Chapter 5 Alternating Cycle Matrices of Dimensions 4 by 4. Second Part 25
Chapter 6 Alternating Cycle Matrices of Dimensions 4 by 4.
Third Part: Multiplication Table 31
Chapter 7 More Properties of Alternating Cycle Matrices of Dimensions 4 by 4 39
Chapter 8 Negative Alternating Cycle Matrices of Dimensions 6 by 6 45
Chapter 9 Multiplication of Negative Alternating
Cycle Matrices of Dimensions 6 by 6 51
Chapter 10 Multiplication of Positive and Negative Alternating
Cycle Matrices of Dimensions 6 by 6 55
Chapter 11 Alternating Cycle Matrices of Even Dimensions 59
Chapter 12 General Hypotheses about Alternating
Cycle Matrices of Even Dimensions 67
Chapter 13 Alternating Cycle Matrices of Dimensions 5 by 5 71
Chapter 14 Multiplication of Positive and Negative Alternating
Cycle Matrices of Dimensions 3 by 3 77
Chapter 15 Alternating Cycle Matrices of Dimensions 7 by 7 85
Chapter 16 Multiplication Tables of Basic Positive and Negative
Alternating Cycle Matrices of Dimensions 7 by 7 89
Chapter 17 Cyclic Structure of Multiplication Tables 97
Chapter 18 Multiplication Tables of Basic Positive and Negative
Alternating Cycle Matrices of Dimensions 6 by 6 101
Chapter 19 Outline of a Proof 107
Chapter 20 Multiplication of Basic Positive Alternating Cycle
Matrices of Even Dimensions: Formulation of Hypotheses 111
Chapter 21 Multiplication of Basic Positive Alternating Cycle Matrices of
Even Dimensions: Some Proofs 119
Chapter 22 Activities of Proof 125
Chapter 23 Cycle Matrices of Dimensions 6 by 6 and of Period 3 133
Chapter 24 Other Periodic Cycle Matrices of Dimensions 6 by 6 141
Chapter 25 Periodic Cycle Matrices of Odd Dimensions 147
Chapter 26 The World of the Periodic Cycle Matrices 153
Chapter 27 Discover the World of the Cycle Matrices 157
Chapter 28 Cycle Matrices, Genetic Matrices and the Golden Section 161
Chapter 29 Bibliography 165
Chapter 30 Note on the Use of a Computer 167
Appendices 169
Chapter 31 Inverse Matrices 171
Chapter 32 Determinants 175
Chapter 33 Transformations of Alternating Cycle Matrices. Permutations 179
Chapter 34 Polygonal and Circular Representations 185
Index 193

Product Details:


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Greetz Fellow UL'ers
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