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About this book :-
Applied Linear Algebra written by Peter J. Olver .
Applied mathematics rests on two central pillars: calculus and linear algebra. While calculus has its roots in the universal laws of Newtonian physics, linear algebra arises from a much more mundane issue: the need to solve simple systems of linear algebraic equations. Despite its humble origins, linear algebra ends up playing a comparably profound role in both applied and theoretical mathematics, as well as in all of science and engineering, including computer science, data analysis and machine learning, imaging and signal processing, probability and statistics, economics, numerical analysis, mathematical biology, and many other disciplines.
In applied mathematics, we do not introduce abstraction for its intrinsic beauty. Our ultimate purpose is to develop effective methods and algorithms for applications in science, engineering, computing, statistics, data science, etc.
This textbook has two interrelated pedagogical goals. The first is to explain basic techniques that are used in modern, real-world problems. We believe that it is important for the applied mathematician, as well as the scientist and engineer, not just to learn mathematical techniques and how to apply them in a variety of settings, but, even more importantly, to understand why they work and how they are derived from first principles. In our approach, applications go hand in hand with theory, each reinforcing and inspiring the other. To this end, we try to lead the reader through the reasoning that leads to the important results. We do not shy away from stating theorems and writing out proofs, particularly when they lead to insight into the methods and their range of applicability.
(Peter J. Olver)
Book Detail :-
Title: Applied Linear Algebra
Author(s): Peter J. Olver
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About Author :-
The author Peter J. Olver is an American mathematician whose primary research interests involve the applications of symmetry and Lie groups to differential equations. He has been a full professor at the University of Minnesota since 1985 and is currently head of their mathematics department. In 2003, Olver was one of the top 234 most cited mathematicians in the world.
In 2014, Olver became a fellow of the Society for Industrial and Applied Mathematics for "developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.". In addition, Olver is an elected fellow of the Institute of Physics and a fellow of the American Mathematical Society.
Olver is a prolific author, having written over 200 academic papers as of 2015. Of these, 137 have appeared or will appear in major refereed journals, 46 have appeared in conference proceedings and seven have appeared as appendices and chapters in books.
All Famous Books of this Author :-
Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.
• Download PDF Applied Linear Algebra by Peter J. Olver, Chehrzad Shakiban
• Download PDF Applied Linear Algebra (Solution Manual) by Peter J. Olver, Chehrzad Shakiban
• Download PDF Applications of Lie Groups to Differential Equations by Peter J. Olver
• Download PDF Introduction to Partial Differential Equations by Peter J. Olver
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Book Contents :-
Applied Linear Algebra written by Peter J. Olver cover the following topics. '
1. LinearAlgebraic Systems
2. Vector Spaces andBases
3. Inner Products and Norms
5. Minimization and Least Squares
8. Eigenvalues and Singular Values
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