Invitation To Discrete Mathematics Solutions BETTER
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The main contents of Discrete Mathematics are the following topics: mathematical problems, existence and uniqueness of solutions, functional equations, functional analysis, discrete mathematics, combinatorics, graph theory, algorithms, linear algebra, computer science, and applied mathematics.
The mathematical models of heat radiation and electric fields of a rotating machine and a transformer. We will discuss the continuous problem as well as the discrete problem and will look at the various numerical methods and the corresponding mathematical questions
The finite element method. We will discuss the continuous problem as well as the discrete one and will use the finite element method to approximate the continuous problem
The monotone operators and the potential operators
The course provides an introduction to the use of the monotone operators and potential operators and to their application to the problem of existence and uniqueness of solutions of nonlinear partial differential equations. It is assumed that basic concepts of linear algebra, topology, and distributions are familiar to the reader. The course is in three main parts:
The course will be aimed at the students of mathematics and engineering. The presentation of the course will be compatible with the problem-based learning approach. We will look at various methods and algorithms for solving computational problems. The program will include a number of numerical examples. The text is based on a lecture course given at the University of Northern Colorado (Boulder, Colorado, USA). The course is taught as a spring semester course in Mathematics and has been in operation since 2003. This book is for the second edition of the course. Some of the examples, exercises, and some of the applications are new. The new chapters are devoted to the finite element method, the monotone operators, and potential operators.
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