Contents: Vectors and Vector Spaces; Matrices and Linear Algebra; Eigenvalues and Eigenvectors; Unitary Matrices; Hermitian Theory; Normal Matrices; Factorization Theorems; Jordan Normal Form; Hermitian and Symmetric Matrices; Nonnegative Matrices.
This book is intended to both serve as a reference guide and a text for a course on Applied Mathematical Programming. The material presented will concentrate upon conceptual issues, problem formulation, computerized problem solution, and results interpretation. Solution algorithms will be treated only to the extent necessary to interpret solutions and overview events that may occur during the solution process.
This book is our best effort at making Abstract Algebra as down-to earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries, and permutations to introduce some of the beautifully general ideas of group theory.
Exploring the concepts, ideas, and results of mathematics is a fascinating topic. In this course you will see firsthand many of the results that have made what mathematics is today and meet the mathematicians that created them.
In this book passive diffusion is treated by introducing the transport equation and its application in a range of unstratified water bodies. Passive diffusion refers to mixing processes that occur due to random motions and that have no direct feedback on the dynamics of the fluid motion.
Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.