This book contains a brief course in elementary linear algebra with emphasis on solving systems of linear algebraic and ordinary differential equations. It is written for undergraduate students in the disciplines of applied mathematics, science and engineering. Topics covered include basics of matrices and vectors, systems of linear algebraic equations, matrix inverse, matrix determinant, eigenvalues and eigenvectors, matrix diagonalization, and systems of first order linear ordinary differential equations. The connections between the topics are carefully elucidated. Derivations or proofs are given in detail for all the main results in the book. Basic knowledge of the arithmetic of complex numbers and exposure to elementary functions and calculus are assumed. Problems are set at the end of every main chapter of the book to test the understanding of students and to provide further insights into the topics studied.
This book contains a brief course in elementary linear algebra with emphasis on solving systems of linear algebraic and ordinary differential equations. It is written for undergraduate students in the disciplines of applied mathematics, science and engineering. Topics covered include basics of matrices and vectors, systems of linear algebraic equations, matrix inverse, matrix determinant, eigenvalues and eigenvectors, matrix diagonalization, and systems of first order linear ordinary differential equations. The connections between the topics are carefully elucidated. Derivations or proofs are given in detail for all the main results in the book. Basic knowledge of the arithmetic of complex numbers and exposure to elementary functions and calculus are assumed. Problems are set at the end of every main chapter of the book to test the understanding of students and to provide further insights into the topics studied.
A classic textbook on algebra, Brief Course in Algebra provides a clear and concise introduction to the fundamental principles of algebra. With numerous examples and exercises, Manchester guides...
This textbook provides a concise introduction to college algebra, including topics such as polynomials, rational functions, logarithms, and trigonometry. With many worked examples and exercises, it...
Suitable for advanced undergraduates and graduate students, this text offers a complete introduction to the basic concepts of linear algebra. Interesting and inspiring in its approach, it imparts an...
The book is an introduction to Linear Algebra with an account of its principal applications. It is addressed to students of mathematics, the physical, engineering and social sciences, and commerce...
undefinedThe text itself is well-written. Each chapter begins with a brief synopsis which nicely captures the heart of the chapter, and there are enough boldface headings and vocabulary to keep the...
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