Gerdes, Paulus.

Adventures in the World of Matrices. - 1st ed. - 1 online resource (208 pages)

Intro -- ADVENTURES IN THEWORLD OF MATRICES -- NOTICE TO THE READER -- ACKNOWLEDGEMENTS -- CONTENTS -- PREFACE -- PRESENTATION -- THE CONCEPT OF A MATRIX -- ABSTRACT -- MULTIPLICATION OF A MATRIX BY A SCALAR -- ADDITION OF MATRICES -- MULTIPLICATION OF SQUARE MATRICES -- ACTIVITIES -- IDENTITY MATRIX -- HISTORICAL NOTE -- NOTATIONS -- CYCLES OF NUMBERS -- ABSTRACT -- SOME MATRICES OF ALTERNATING CYCLES -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- ALTERNATING CYCLE MATRICES OF DIMENSIONS4 BY 4. FIRST PART -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- ALTERNATING CYCLE MATRICES OF DIMENSIONS4 BY 4. SECOND PART -- ABSTRACT -- ACTIVITIES -- Theorem 5.1. -- ACTIVITY -- ACTIVITIES -- ALTERNATING CYCLE MATRICES OF DIMENSIONS 4BY 4. THIRD PART: MULTIPLICATION TABLE -- ABSTRACT -- ACTIVITIES -- ANSWERS -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- MORE PROPERTIES OF ALTERNATING CYCLEMATRICES OF DIMENSIONS 4 BY 4 -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- ACTIVITY -- NEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- MULTIPLICATION OF NEGATIVE ALTERNATINGCYCLE MATRICES OF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- MULTIPLICATION OF POSITIVE AND NEGATIVEALTERNATING CYCLE MATRICES OFDIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ALTERNATING CYCLE MATRICESOF EVEN DIMENSIONS -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- GENERAL HYPOTHESES ABOUT ALTERNATINGCYCLE MATRICES OF EVEN DIMENSIONS -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- Hypothesis 1a -- Hypothesis 1b -- Hypothesis 2a -- Hypothesis 2b -- ACTIVITIES -- ACTIVITY -- Hypothesis 3a -- Hypothesis 3b -- Hypothesis 3c -- Hypothesis 4 -- Hypothesis 5 -- ACTIVITY -- ALTERNATING CYCLE MATRICESOF DIMENSIONS 5 BY 5. ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- MULTIPLICATION OF POSITIVE AND NEGATIVEALTERNATING CYCLE MATRICES OFDIMENSIONS 3 BY 3 -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- 14.1. A Surprising Property of the Multiplication Tables -- ALTERNATING CYCLE MATRICESOF DIMENSIONS 7 BY 7 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- MULTIPLICATION TABLES OF BASIC POSITIVE ANDNEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 7 BY 7 -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- CYCLIC STRUCTURE OF MULTIPLICATION TABLES -- ABSTRACT -- ACTIVITIES -- QUESTIONS FOR REFLECTION -- MULTIPLICATION TABLES OF BASIC POSITIVE ANDNEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- QUESTIONS FOR REFLECTION -- OUTLINE OF A PROOF -- ABSTRACT -- MULTIPLICATION OF BASIC POSITIVE ALTERNATINGCYCLE MATRICES OF EVEN DIMENSIONS:FORMULATION OF HYPOTHESES -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- MULTIPLICATION OF BASIC POSITIVE ALTERNATINGCYCLE MATRICES OF EVEN DIMENSIONS:SOME PROOFS -- ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITIES OF PROOF -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- Theorem 22.1. -- Theorem 22.2. -- ACTIVITY -- Theorem 22.3. -- Theorem 22.4. -- Theorem 22.5. -- Theorem 22.6. -- Theorem 22.7. -- Theorem 22.8. -- Theorem 22.9. -- Theorem 22.10. -- Theorem 22.11. -- ACTIVITIES -- Theorem 22.12. -- Theorem 22.13. -- CYCLE MATRICES OF DIMENSIONS 6BY 6 AND OF PERIOD 3 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- OTHER PERIODIC CYCLE MATRICES OFDIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- Theorem 24.1. -- PERIOD 4 -- PERIOD 6 -- ACTIVITY -- PERIODIC CYCLE MATRICES OF ODD DIMENSIONS -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- THE WORLD OF THE PERIODIC CYCLE MATRICES. ABSTRACT -- Theorem 26.1a. -- Theorem 26.1b. -- Theorem 26.2a. -- Theorem 26.2a. -- ACTIVITIES -- Theorem 26.3a. -- Theorem 26.3b. -- Theorem 26.3c. -- Theorem 26.4. -- Theorem 26.5. -- Theorem 26.6. -- DISCOVER THE WORLD OF THE CYCLE MATRICES -- ABSTRACT -- CYCLE MATRICES, GENETIC MATRICESAND THE GOLDEN SECTION -- ABSTRACT -- ACTIVITY -- BIBLIOGRAPHY -- CYCLE MATRICES AND LIKI-DESIGNS -- HELIX, CYLINDER AND CHESS MATRICES -- GENETIC MATRICES (CHAPTER 28) -- LUNDA-DESIGNS AND TRADITIONAL DRAWINGS FROM ANGOLA -- NOTE ON THE USE OF A COMPUTER -- APPENDICES -- INVERSE MATRICES -- ACTIVITY -- ACTIVITY -- DETERMINANTS -- ACTIVITIES -- TRANSFORMATIONS OF ALTERNATING CYCLEMATRICES. PERMUTATIONS -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- POLYGONAL AND CIRCULAR REPRESENTATIONS -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- INDEX.

9781606927557


Matrices.
Algebra.


Electronic books.

QA188 -- .G47 2007eb

512.9/434