Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum. There is no attempt here to use computing to avoid doing differential equations and linear algebra. The goal is to make some first ex- plorations in the subject accessible to students who have had one year of calculus. Some of the sciences are now using the symbol-manipulative power of Mathemat- ica to make more of their subject accessible. This book is one way of doing so for differential equations and linear algebra. I believe that if a student's first exposure to a subject is pleasant and exciting, then that student will seek out ways to continue the study of the subject. The theory of differential equations and of linear algebra permeates the discussion. Every topic is supported by a statement of the theory. But the primary thrust here is obtaining solutions and information about solutions, rather than proving theorems. There are other courses where proving theorems is central. The goals of this text are to establish a solid understanding of the notion of solution, and an appreciation for the confidence that the theory gives during a search for solutions. Later the student can have the same confidence while personally developing the theory.
| ISBN: | 9781441919410 |
| Publication date: | 25th November 2010 |
| Author: | C C Ross |
| Publisher: | Springer an imprint of Springer New York |
| Format: | Paperback |
| Pagination: | 434 pages |
| Series: | Undergraduate Texts in Mathematics |
| Genres: |
Differential calculus and equations Numerical analysis Maths for engineers Mathematical and statistical software Algebra Calculus and mathematical analysis |
Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum. There is no attempt here to use computing to avoid doing differential equations and linear algebra. The goal is to make some first ex- plorations in the subject accessible to students who have had one year of calculus. Some of the sciences are now using the symbol-manipulative power of Mathemat- ica to make more of their subject accessible. This book is one way of doing so for differential equations and linear algebra. I believe that if a student's first exposure to a subject is pleasant and exciting, then that student will seek out ways to continue the study of the subject. The theory of differential equations and of linear algebra permeates the discussion. Every topic is supported by a statement of the theory. But the primary thrust here is obtaining solutions and information about solutions, rather than proving theorems. There are other courses where proving theorems is central. The goals of this text are to establish a solid understanding of the notion of solution, and an appreciation for the confidence that the theory gives during a search for solutions. Later the student can have the same confidence while personally developing the theory.
Differential Equations features in the following genres: Differential calculus and equations, Numerical analysis, Maths for engineers, Mathematical and statistical software, Algebra, Calculus and mathematical analysis
Differential Equations is available in Paperback
Differential Equations was written by C C Ross and published by Springer an imprint of Springer New York
Differential Equations has 434 pages
Yes it is part of Undergraduate Texts in Mathematics series