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Inhaltsangabe
PART I: RATIONALE AND FOUNDATIONS.- The discussion here is premised on the paper that accompanies this proposal..- Chapter 1: Algorithmics---The Spirit of Computing.- Chapter 2: Number ---The Language of Science.- Chapter 3: Bringing Number Under the Rubric of Algorithm.- PART II: NUMERICAL ALGORITHMIC SCIENCE.- Chapter 4: Algorithms on Graphs and Networks.- Chapter 5: Uni-Dimensional Equation-Solving and Optimization.- Chapter 6: Matrix-Based and Tensor-Based Computations.- Chapter 7: Linear Programming before the 1984 Revolution.- Chapter 8: Unconstrained Nonlinear Optimization.- Chapter 9: Nonlinear Equation-Solving.- Chapter 10: Constrained Nonlinear Optimization.- Chapter 11: Linear Programming after the 1984 Revolution.- Chapter 12: The Many Other Facets of Numerical Algorithmics.- PART III: CONVERGENCE, COMPLEXITY, AND NUMERICAL ERROR.- Chapter 13: Global Convergence and Asymptotic Rate-of-Convergence.- Chapter 14: Complexity Classes and Analysis.- Chapter 15: Roundoff-ErrorAnalysis.- PART IV: NUMERICAL ALGORITHMIC ENGINEERING.- Chapter 16: Languages and Systems.- Chapter 17: Implementation Techniques and Software Development.
PART I: RATIONALE AND FOUNDATIONS.- The discussion here is premised on the paper that accompanies this proposal..- Chapter 1: Algorithmics---The Spirit of Computing.- Chapter 2: Number ---The Language of Science.- Chapter 3: Bringing Number Under the Rubric of Algorithm.- PART II: NUMERICAL ALGORITHMIC SCIENCE.- Chapter 4: Algorithms on Graphs and Networks.- Chapter 5: Uni-Dimensional Equation-Solving and Optimization.- Chapter 6: Matrix-Based and Tensor-Based Computations.- Chapter 7: Linear Programming before the 1984 Revolution.- Chapter 8: Unconstrained Nonlinear Optimization.- Chapter 9: Nonlinear Equation-Solving.- Chapter 10: Constrained Nonlinear Optimization.- Chapter 11: Linear Programming after the 1984 Revolution.- Chapter 12: The Many Other Facets of Numerical Algorithmics.- PART III: CONVERGENCE, COMPLEXITY, AND NUMERICAL ERROR.- Chapter 13: Global Convergence and Asymptotic Rate-of-Convergence.- Chapter 14: Complexity Classes and Analysis.- Chapter 15: Roundoff-ErrorAnalysis.- PART IV: NUMERICAL ALGORITHMIC ENGINEERING.- Chapter 16: Languages and Systems.- Chapter 17: Implementation Techniques and Software Development.
Rezensionen
"This is a book that would be of most interest to those teaching numerical analysis. The history and perspective the author offers give a good sense of where their field sits with respect to conventional computer science and might suggest alternative ways to present the subject." (Bill Satzer, MAA Reviews, April 16, 2023)
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