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Adventures in the world of matrices

Author: Paulus Gerdes
Publisher: New York : Nova Science Publishers, ©2007.
Series: Contemporary mathematical studies.
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
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Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Paulus Gerdes
ISBN: 9781600217180 1600217184
OCLC Number: 122338122
Notes: Includes index.
Description: x, 194 pages : illustrations ; 27 cm.
Contents: Machine derived contents note: Table of Contents: --
Preface; Presentation; Chapter 1. The Concept of Matrix; Chapter 2. Cycles of Numbers; Chapter 3. Some Matrices of Alternating Cycles; Chapter 4. Alternating Cycle Matrices of Dimensions 4 by 4. First Part; Chapter 5. Alternating Cycle Matrices of Dimensions 4 by 4. Second Part; Chapter 6. Alternating Cycle Matrices of Dimensions 4 by 4. Third Part: Multiplication Tables; Chapter 7. Some more Properties of Alternating Cycle Matrices of Dimensions 4 by 4; Chapter 8. Negative Alternating Cycle Matrices of Dimensions 6 by 6; Chapter 9. Multiplication of Negative Alternating Cycle Matrices of Dimensions 6 by 6; Chapter 10. Multiplication of Positive and Negative Alternating Cycle Matrices of Dimensions 6 by 6; Chapter 11. Alternating Cycle Matrices of Even Dimensions; Chapter 12. General Hypotheses Concerning Alternating Cycle Matrices of Even Dimensions; Chapter 13. Alternating Cycle Matrices of Dimensions 5 by 5; Chapter 14. Multiplication of Positive and Negative Alternating Cycle Matrices of Dimensions 3 by 3; Chapter 15. Alternating Cycle Matrices of Dimensions 7 by 7; Chapter 16. Multiplication Tables of basic Positive and Negative Alternating Cycle Matrices of Dimensions 7 by 7; Chapter 17. Cyclic Structure of the Multiplication Tables; Chapter 18. Multiplication Tables of basic Positive and Negative Alternating Cycle Matrices of Dimensions 6 by 6; Chapter 19. Outline of a Proof; Chapter 20. Multiplication of basic Positive Alternating Cycle Matrices of Even Dimensions: Formulation of Hypotheses; Chapter 21. Multiplication of basic Positive Alternating Cycle Matrices of Even Dimensions: Some Proofs; Chapter 22. Proof Activities; Chapter 23. Cycle Matrices of Dimensions 6 by 6 and of Period 3; Chapter 24. Other Periodic Cycle Matrices of Dimensions 6 by 6; Chapter 25. Periodic Cycle Matrices of Odd Dimensions; Chapter 26. The World of Periodic Cycle Matrices; Chapter 27. Discovering the World of Cycle Matrices; Chapter 28. Cycle Matrices, Genetic Matrices and the Golden Section; Chapter 29. Bibliography; Chapter 30. Note about the use of a Computer; Appendices; Chapter 31. Inverse Matrices; Chapter 32. Determinants; Chapter 33. Transformations of Alternating Cycle Matrices. Permutations; Chapter 34. Polygonal and Circular Representations; Index.
Series Title: Contemporary mathematical studies.
Responsibility: Paulus Gerdes.
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