Iterative algebra and dynamic modeling a curriculum for the third millennium
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
1999
|
| Schriftenreihe: | Textbooks in mathematical sciences
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 650 | 4 | |a Datenverarbeitung | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102/MAT 110f 2001 A 21362 |
|---|---|
| DE-BY-TUM_katkey | 1144858 |
| DE-BY-TUM_media_number | 040010677142 |
| _version_ | 1816711939314679808 |
| adam_text | Contents
Preface ix
Chapter 1: Polynomial Equations 1
1.1 Introduction 1
1.2 The Quadratic Formula 2
1.3 Solution by Iteration 5
1.4 Revisiting the Quadratic Formula 7
1.5 Babylonian Iteration 9
1.6 The Staircase Method 13
1.7 Quadratic Equations 19
1.8 Cubic Equations 23
1.9 Higher-Order Equations 29
1.10 Analytic Geometry 31
1.11 Problems, Exercises, and Projects 37
Chapter 2: Difference Equations 57
2.1 Introduction 57
2.2 A Banking Analogy 58
2.3 Radioactive Decay and Economic Equilibrium 64
2.4 Logistic Equations 70
2.5 Higher-Order Equations 78
2.6 Problems, Exercises, and Projects 84
Chapter 3: Refinement, Sloppiness, and Chaos 91
3.1 Introduction 91
3.2 Exponential Growth and Decay 92
3.3 The Logistic Equation Revisited 97
3.4 Iteration of Functions 102
3.5 Escape From Chaos 108
3.6 Restoring Order 112
3.7 Problems, Exercises, and Projects 114
Chapter 4: Complex Numbers, Polynomial Equations, and Fractals 123
4-1 Introduction 123
4.2 Does yf-i Exist? 127
4.3 Quadratic Equations Revisited 131
4.4 Cubic Equations and Julia Sets 139
4.5 Iterative Geometry and Fractals 146
4.6 Problems, Exercises, and Projects 158
viii Contents
Chapter 5: Algebraic Systems 177
5.1 Introduction 177
5.2 Linear Systems 181
5.3 Contraction Matrices 185
5.4 The Matrix Inverse 189
5.5 Input-Output Economics 195
5.6 Matrix Iteration 198
5.7 Synthesis 206
5.8 Problems, Exercises, and Projects 209
Chapter 6: Systems of Difference Equations 225
6.1 Introduction 225
6.2 Linear Systems 228
6.3 Nonlinear Systems 232
6.4 Higher-Order Equations 241
6.5 Chaos Revisited 247
6.6 Multivariate Systems 253
6.7 Problems, Exercises, and Projects 261
Chapter 7: Stella Modeling 273
7.1 Introduction 273
7.2 Flows, Reservoirs, and Difference Equations 274
7.3 Systems 280
7.4 Iteration, Reservoirs, and Flows 288
7.5 Submodels 292
7.6 Closed Systems, Thermodynamics, and Entropy 298
1 7.7 The Global System 310
7.8 Problems, Exercises, and Projects 314
Index 321
|
| any_adam_object | 1 |
| author | Kreith, Kurt Chakerian, Don |
| author_facet | Kreith, Kurt Chakerian, Don |
| author_role | aut aut |
| author_sort | Kreith, Kurt |
| author_variant | k k kk d c dc |
| building | Verbundindex |
| bvnumber | BV012731662 |
| callnumber-first | Q - Science |
| callnumber-label | QA155 |
| callnumber-raw | QA155.7.E4 |
| callnumber-search | QA155.7.E4 |
| callnumber-sort | QA 3155.7 E4 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 200 ST 600 |
| classification_tum | MAT 110f |
| ctrlnum | (OCoLC)40602682 (DE-599)BVBBV012731662 |
| dewey-full | 512/.0285 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.0285 |
| dewey-search | 512/.0285 |
| dewey-sort | 3512 3285 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| language | English |
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| physical | XI, 325 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Springer |
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| series2 | Textbooks in mathematical sciences |
| spellingShingle | Kreith, Kurt Chakerian, Don Iterative algebra and dynamic modeling a curriculum for the third millennium Microsoft Excel (Computer file) Algebra gtt Dataprocessing gtt Dynamische modellen gtt Iteratief oplossen gtt Microsoft Excel gtt Datenverarbeitung Algebra Data processing Iterative methods (Mathematics) Data processing Iteration (DE-588)4123457-1 gnd Algebra (DE-588)4001156-2 gnd Datenverarbeitung (DE-588)4011152-0 gnd EXCEL (DE-588)4138932-3 gnd Computeralgebra (DE-588)4010449-7 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4001156-2 (DE-588)4011152-0 (DE-588)4138932-3 (DE-588)4010449-7 |
| title | Iterative algebra and dynamic modeling a curriculum for the third millennium |
| title_auth | Iterative algebra and dynamic modeling a curriculum for the third millennium |
| title_exact_search | Iterative algebra and dynamic modeling a curriculum for the third millennium |
| title_full | Iterative algebra and dynamic modeling a curriculum for the third millennium Kurt Kreith ; Don Chakerian |
| title_fullStr | Iterative algebra and dynamic modeling a curriculum for the third millennium Kurt Kreith ; Don Chakerian |
| title_full_unstemmed | Iterative algebra and dynamic modeling a curriculum for the third millennium Kurt Kreith ; Don Chakerian |
| title_short | Iterative algebra and dynamic modeling |
| title_sort | iterative algebra and dynamic modeling a curriculum for the third millennium |
| title_sub | a curriculum for the third millennium |
| topic | Microsoft Excel (Computer file) Algebra gtt Dataprocessing gtt Dynamische modellen gtt Iteratief oplossen gtt Microsoft Excel gtt Datenverarbeitung Algebra Data processing Iterative methods (Mathematics) Data processing Iteration (DE-588)4123457-1 gnd Algebra (DE-588)4001156-2 gnd Datenverarbeitung (DE-588)4011152-0 gnd EXCEL (DE-588)4138932-3 gnd Computeralgebra (DE-588)4010449-7 gnd |
| topic_facet | Microsoft Excel (Computer file) Algebra Dataprocessing Dynamische modellen Iteratief oplossen Microsoft Excel Datenverarbeitung Algebra Data processing Iterative methods (Mathematics) Data processing Iteration EXCEL Computeralgebra |
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