Ebook: Computer Algebra Recipes: An Introductory Guide to the Mathematical Models of Science
- Tags: Mathematical Modeling and Industrial Mathematics, Symbolic and Algebraic Manipulation, Appl.Mathematics/Computational Methods of Engineering, Mathematical Methods in Physics, Mathematical Software, Simulation and Modeling
- Year: 2006
- Publisher: Springer-Verlag New York
- Edition: 1
- Language: English
- pdf
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.
Content:
Front Matter....Pages i-x
Introduction....Pages 1-10
Front Matter....Pages 11-11
The Pictures of Science....Pages 13-64
Deriving Model Equations....Pages 65-117
Front Matter....Pages 119-119
Algebraic Models. Part I....Pages 121-172
Algebraic Models. Part II....Pages 173-212
Linear ODE Models....Pages 213-270
Difference Equation Models....Pages 271-316
Front Matter....Pages 317-317
Monte Carlo Methods....Pages 319-380
Fractal Patterns....Pages 381-416
Back Matter....Pages 417-430
Computer algebra systems are revolutionizing the teaching, the learning, and the exploration of science. Not only can students and researchers work through mathematical models more efficiently and with fewer errors than with pencil and paper, they can also easily explore, both analytically and numerically, more complex and computationally intensive models.
Aimed at science and engineering undergraduates at the sophomore/junior level, this introductory guide to the mathematical models of science is filled with examples from a wide variety of disciplines, including biology, economics, medicine, engineering, game theory, mathematics, physics, and chemistry. The topics are organized into the Appetizers dealing with graphical aspects, the Entrees concentrating on symbolic computation, and the Desserts illustrating numerical simulation.
The heart of the text is a large number of computer algebra recipes based on the Maple 10 software system. These have been designed not only to provide tools for problem solving, but also to stimulate the reader’s imagination. Associated with each recipe is a scientific model or method and an interesting or amusing story (accompanied with a thought-provoking quote) that leads the reader through the various steps of the recipe.
This text is the first of two volumes. The advanced guide, aimed at junior/senior/graduate level students, deals with more advanced differential equation models.
Content:
Front Matter....Pages i-x
Introduction....Pages 1-10
Front Matter....Pages 11-11
The Pictures of Science....Pages 13-64
Deriving Model Equations....Pages 65-117
Front Matter....Pages 119-119
Algebraic Models. Part I....Pages 121-172
Algebraic Models. Part II....Pages 173-212
Linear ODE Models....Pages 213-270
Difference Equation Models....Pages 271-316
Front Matter....Pages 317-317
Monte Carlo Methods....Pages 319-380
Fractal Patterns....Pages 381-416
Back Matter....Pages 417-430
....