Principles Of Modern Linear Algebra
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Principles Of Modern Linear Algebra
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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-03
Principles Of Modern Linear Algebra written by Pasquale De Marco and has been published by Pasquale De Marco this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-03 with Mathematics categories.
In the realm of mathematics, few subjects are as versatile and influential as linear algebra. Its applications span a vast array of disciplines, from engineering and physics to economics and computer science, making it an essential tool for understanding the modern world. "Principles of Modern Linear Algebra" is a comprehensive guide that unlocks the intricacies of this fundamental subject, catering to students, researchers, and practitioners alike. With a focus on clarity and comprehension, this book demystifies the concepts and principles of linear algebra, building a solid foundation for further exploration. Through engaging explanations and illuminating examples, readers embark on a journey to unravel the essence of linear transformations, vector spaces, and matrices. They delve into systems of linear equations, discovering efficient techniques for solving them, and encounter the intriguing concept of eigenvalues and eigenvectors, which provide profound insights into matrices and their behavior. As they progress through the chapters, readers venture further into the realm of linear algebra, exploring orthogonal and inner product spaces, uncovering their geometric beauty and utility. Advanced topics such as determinants, vector spaces over fields, and numerical linear algebra expand their understanding of this multifaceted subject. With its clear explanations, thought-provoking exercises, and real-world examples, "Principles of Modern Linear Algebra" empowers readers to harness the transformative power of linear algebra and apply it to solve complex problems with elegance and precision. Whether you are an aspiring mathematician, an enthusiastic student, or a professional seeking to enhance your knowledge, this book is your gateway to unlocking the secrets of linear algebra and unlocking its potential to shape the future. If you like this book, write a review!
Introduction To Applied Linear Algebra
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Author : Stephen Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2018-06-07
Introduction To Applied Linear Algebra written by Stephen Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-07 with Business & Economics categories.
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Indefinite Linear Algebra And Applications
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Author : Israel Gohberg
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-02-08
Indefinite Linear Algebra And Applications written by Israel Gohberg and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-02-08 with Mathematics categories.
This book covers recent results in linear algebra with indefinite inner product. It includes applications to differential and difference equations with symmetries, matrix polynomials and Riccati equations. These applications are based on linear algebra in spaces with indefinite inner product. The latter forms an independent branch of linear algebra called indefinite linear algebra. This new subject is presented following the principles of a standard linear algebra course.
A Modern Introduction To Linear Algebra
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Author : Henry Ricardo
language : en
Publisher: CRC Press
Release Date : 2009-10-21
A Modern Introduction To Linear Algebra written by Henry Ricardo and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-21 with Mathematics categories.
Useful Concepts and Results at the Heart of Linear AlgebraA one- or two-semester course for a wide variety of students at the sophomore/junior undergraduate levelA Modern Introduction to Linear Algebra provides a rigorous yet accessible matrix-oriented introduction to the essential concepts of linear algebra. Concrete, easy-to-understand examples m
Fundamental Principles Of Modern Theoretical Physics
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Author : R. H. Furth
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Fundamental Principles Of Modern Theoretical Physics written by R. H. Furth and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
Fundamental Principles of Modern Theoretical Physics
No Bullshit Guide To Linear Algebra
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Author : Ivan Savov
language : en
Publisher:
Release Date : 2020-10-25
No Bullshit Guide To Linear Algebra written by Ivan Savov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-10-25 with MATHEMATICS categories.
This textbook covers the material for an undergraduate linear algebra course: vectors, matrices, linear transformations, computational techniques, geometric constructions, and theoretical foundations. The explanations are given in an informal conversational tone. The book also contains 100+ problems and exercises with answers and solutions. A special feature of this textbook is the prerequisites chapter that covers topics from high school math, which are necessary for learning linear algebra. The presence of this chapter makes the book suitable for beginners and the general audience-readers need not be math experts to read this book. Another unique aspect of the book are the applications chapters (Ch 7, 8, and 9) that discuss applications of linear algebra to engineering, computer science, economics, chemistry, machine learning, and even quantum mechanics.
Numerical Linear Algebra And Optimization
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Author : Philip E. Gill
language : en
Publisher: SIAM
Release Date : 2021-05-13
Numerical Linear Algebra And Optimization written by Philip E. Gill and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-13 with Mathematics categories.
This classic volume covers the fundamentals of two closely related topics: linear systems (linear equations and least-squares) and linear programming (optimizing a linear function subject to linear constraints). For each problem class, stable and efficient numerical algorithms intended for a finite-precision environment are derived and analyzed. While linear algebra and optimization have made huge advances since this book first appeared in 1991, the fundamental principles have not changed. These topics were rarely taught with a unified perspective, and, somewhat surprisingly, this remains true 30 years later. As a result, some of the material in this book can be difficult to find elsewhere—in particular, techniques for updating the LU factorization, descriptions of the simplex method applied to all-inequality form, and the analysis of what happens when using an approximate inverse to solve Ax=b. Numerical Linear Algebra and Optimization is primarily a reference for students who want to learn about numerical techniques for solving linear systems and/or linear programming using the simplex method; however, Chapters 6, 7, and 8 can be used as the text for an upper-division course on linear least squares and linear programming. Understanding is enhanced by numerous exercises.
Modern Algebra
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Author : Seth Warner
language : en
Publisher: Courier Corporation
Release Date : 2012-08-29
Modern Algebra written by Seth Warner and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-29 with Mathematics categories.
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Applied Linear Algebra
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Author : Peter J. Olver
language : en
Publisher: Springer
Release Date : 2018-05-30
Applied Linear Algebra written by Peter J. Olver and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-30 with Mathematics categories.
This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding. Applications go hand-in-hand with theory, each reinforcing and explaining the other. This approach encourages students to develop not only the technical proficiency needed to go on to further study, but an appreciation for when, why, and how the tools of linear algebra can be used across modern applied mathematics. Providing an extensive treatment of essential topics such as Gaussian elimination, inner products and norms, and eigenvalues and singular values, this text can be used for an in-depth first course, or an application-driven second course in linear algebra. In this second edition, applications have been updated and expanded to include numerical methods, dynamical systems, data analysis, and signal processing, while the pedagogical flow of the core material has been improved. Throughout, the text emphasizes the conceptual connections between each application and the underlying linear algebraic techniques, thereby enabling students not only to learn how to apply the mathematical tools in routine contexts, but also to understand what is required to adapt to unusual or emerging problems. No previous knowledge of linear algebra is needed to approach this text, with single-variable calculus as the only formal prerequisite. However, the reader will need to draw upon some mathematical maturity to engage in the increasing abstraction inherent to the subject. Once equipped with the main tools and concepts from this book, students will be prepared for further study in differential equations, numerical analysis, data science and statistics, and a broad range of applications. The first author’s text, Introduction to Partial Differential Equations, is an ideal companion volume, forming a natural extension of the linear mathematical methods developed here.
Linear Algebra For Economists
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Author : Hasan Ersel
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-18
Linear Algebra For Economists written by Hasan Ersel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Business & Economics categories.
This textbook introduces students of economics to the fundamental notions and instruments in linear algebra. Linearity is used as a first approximation to many problems that are studied in different branches of science, including economics and other social sciences. Linear algebra is also the most suitable to teach students what proofs are and how to prove a statement. The proofs that are given in the text are relatively easy to understand and also endow the student with different ways of thinking in making proofs. Theorems for which no proofs are given in the book are illustrated via figures and examples. All notions are illustrated appealing to geometric intuition. The book provides a variety of economic examples using linear algebraic tools. It mainly addresses students in economics who need to build up skills in understanding mathematical reasoning. Students in mathematics and informatics may also be interested in learning about the use of mathematics in economics.