Stories About Maxima and Minima
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Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. This book presents 15 "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima.Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other fAncient maximum and minimum problems: 1. Why do we solve maximum and minimum problems? 2. The ...
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. This book presents 15 "stories" designed to acquaint readers with the central concepts of the theory of maxima and minima.
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other f
Ancient maximum and minimum problems: 1. Why do we solve maximum and minimum problems? 2. The oldest problem - Dido's problem. 3. Maxima and minima in nature (optics). 4. Maxima and minima in geometry. 5. Maxima and minima in algebra and in analysis. 6. Kepler's problem. 7. The brachistochrone. 8. Newton's aerodynamical problem. Methods of solution of external problems. 9. What is a function? 10. What is an external problem? 11. Extrema of functions of one variable. 12. Extrema of functions of many variables. Lagrange's principle. 13. More problem solving. 14. What happened later in the theory of extremal problems. 15. The fifteenth story, or rather, a discussion.
Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. Many beautiful and important problems have appeared in a variety of branches of mathematics and physics, as well as in other f
Ancient maximum and minimum problems: 1. Why do we solve maximum and minimum problems? 2. The oldest problem - Dido's problem. 3. Maxima and minima in nature (optics). 4. Maxima and minima in geometry. 5. Maxima and minima in algebra and in analysis. 6. Kepler's problem. 7. The brachistochrone. 8. Newton's aerodynamical problem. Methods of solution of external problems. 9. What is a function? 10. What is an external problem? 11. Extrema of functions of one variable. 12. Extrema of functions of many variables. Lagrange's principle. 13. More problem solving. 14. What happened later in the theory of extremal problems. 15. The fifteenth story, or rather, a discussion.
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