{"text_format":"2","workbook":"xls","n_sheets":1,"sheets":["report2"],"not_rendered":{"charts":0,"images":0,"macros":0,"external_links":1,"defined_names":1,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"report2","index":0,"n_rows":22,"n_cols":5,"rows_kept":22,"cut":false,"hidden":false,"merged":[[0,2,0,3],[0,4,0,5],[1,2,1,3],[1,4,1,5],[2,2,2,3],[2,4,2,5],[3,2,3,3],[4,2,4,3],[5,2,5,3],[6,2,6,3],[7,2,7,3],[8,2,8,3],[9,2,9,3],[11,2,11,3],[12,2,12,3],[16,2,16,3]],"flags":["formulas_cached_only"]}
[null,"1.","Record Nr.",null,"UNINA9910967362203321"]
[null,null,"Autore",null,"Gerdes Paulus"]
[null,null,"Titolo",null,"Adventures in the world of matrices / / Paulus Gerdes"]
[null,null,"Pubbl/distr/stampa",null,"New York, : Nova Science Publishers, c2007"]
[null,null,"ISBN",null,"1-60692-755-8"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (208 p.)"]
[null,null,"Collana",null,"Contemporary mathematical studies"]
[null,null,"Disciplina",null,"512.9/434"]
[null,null,"Soggetti",null,"Matrices"]
[{"$nulls":4},"Algebra"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Intro -- ADVENTURES IN THEWORLD OF MATRICES -- NOTICE TO THE READER -- ACKNOWLEDGEMENTS -- CONTENTS -- PREFACE -- PRESENTATION -- THE CONCEPT OF A MATRIX -- ABSTRACT -- MULTIPLICATION OF A MATRIX BY A SCALAR -- ADDITION OF MATRICES -- MULTIPLICATION OF SQUARE MATRICES -- ACTIVITIES -- IDENTITY MATRIX -- HISTORICAL NOTE -- NOTATIONS -- CYCLES OF NUMBERS -- ABSTRACT -- SOME MATRICES OF ALTERNATING CYCLES -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- ALTERNATING CYCLE MATRICES OF DIMENSIONS4 BY 4. FIRST PART -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- ALTERNATING CYCLE MATRICES OF DIMENSIONS4 BY 4. SECOND PART -- ABSTRACT -- ACTIVITIES -- Theorem 5.1. -- ACTIVITY -- ACTIVITIES -- ALTERNATING CYCLE MATRICES OF DIMENSIONS 4BY 4. THIRD PART: MULTIPLICATION TABLE -- ABSTRACT -- ACTIVITIES -- ANSWERS -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- MORE PROPERTIES OF ALTERNATING CYCLEMATRICES OF DIMENSIONS 4 BY 4 -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- ACTIVITY -- NEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- MULTIPLICATION OF NEGATIVE ALTERNATINGCYCLE MATRICES OF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- MULTIPLICATION OF POSITIVE AND NEGATIVEALTERNATING CYCLE MATRICES OFDIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ALTERNATING CYCLE MATRICESOF EVEN DIMENSIONS -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITY -- GENERAL "]
[{"$nulls":4},"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."]
[{"$nulls":4},"ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- MULTIPLICATION OF POSITIVE AND NEGATIVEALTERNATING CYCLE MATRICES OFDIMENSIONS 3 BY 3 -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- 14.1. A Surprising Property of the Multiplication Tables -- ALTERNATING CYCLE MATRICESOF DIMENSIONS 7 BY 7 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- MULTIPLICATION TABLES OF BASIC POSITIVE ANDNEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 7 BY 7 -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- ACTIVITIES -- ACTIVITY -- CYCLIC STRUCTURE OF MULTIPLICATION TABLES -- ABSTRACT -- ACTIVITIES -- QUESTIONS FOR REFLECTION -- MULTIPLICATION TABLES OF BASIC POSITIVE ANDNEGATIVE ALTERNATING CYCLE MATRICESOF DIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- QUESTIONS FOR REFLECTION -- OUTLINE OF A PROOF -- ABSTRACT -- MULTIPLICATION OF BASIC POSITIVE ALTERNATINGCYCLE MATRICES OF EVEN DIMENSIONS:FORMULATION OF HYPOTHESES -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- ACTIVITIES -- MULTIPLICATION OF BASIC POSITIVE ALTERNATINGCYCLE MATRICES OF EVEN DIMENSIONS:SOME PROOFS -- ABSTRACT -- ACTIVITY -- ACTIVITY -- ACTIVITIES -- ACTIVITIES OF PROOF -- ABSTRACT -- ACTIVITY -- ACTIVITIES -- Theorem 22.1. -- Theorem 22.2. -- ACTIVITY -- Theorem 22.3. -- Theorem 22.4. -- Theorem 22.5. -- Theorem 22.6. -- Theorem 22.7. -- Theorem 22.8. -- Theorem 22.9. -- Theorem 22.10. -- Theorem 22.11. -- ACTIVITIES -- Theorem 22.12. -- Theorem 22.13. -- CYCLE MATRICES OF DIMENSIONS 6BY 6 AND OF PERIOD 3 -- ABSTRACT -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- ACTIVITIES -- OTHER PERIODIC CYCLE MATRICES OFDIMENSIONS 6 BY 6 -- ABSTRACT -- ACTIVITIES -- Theorem 24.1. -- PERIOD 4 -- PERIOD 6 -- ACTIVITY -- PERIODIC CYCLE MATRICES OF ODD DIMENSIONS -- ABSTRACT -- ACTIVITIES -- ACTIVITY -- THE WORLD OF THE PERIODIC CYCLE MATRICES."]
[{"$nulls":4},"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."]
[null,null,null,"Sommario/riassunto","The purpose of the book is to give the reader a feeling for the beauty and the surprises of mathematical research by building up step by step a theory of cycle matrices. The notions of matrix and cycle are presented for those readers who do not yet know the concepts. Then, starting and experimenting with cycle matrices of low dimensions and "]
[{"$nulls":4},"engaging the readers in various activities, beautiful results are obtained with attractive geometrical interpretation. Gradually the results are extended to cycle matrices of higher dimensions and then generalised. A note is included for those readers who would like to use a computer in exploring cycle matrices. Two appendices give the possibility to further use the computer by exploring inverses matrices and determinants."]