Linear Algebra Concepts And Methods
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Linear Algebra Concepts And Methods
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Author : Martin Anthony
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-10
Linear Algebra Concepts And Methods written by Martin Anthony 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 2012-05-10 with Mathematics categories.
Any student of linear algebra will welcome this textbook, which provides a thorough treatment of this key topic. Blending practice and theory, the book enables the reader to learn and comprehend the standard methods, with an emphasis on understanding how they actually work. At every stage, the authors are careful to ensure that the discussion is no more complicated or abstract than it needs to be, and focuses on the fundamental topics. The book is ideal as a course text or for self-study. Instructors can draw on the many examples and exercises to supplement their own assignments. End-of-chapter sections summarise the material to help students consolidate their learning as they progress through the book.
Basics Of Linear Algebra For Machine Learning
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Author : Jason Brownlee
language : en
Publisher: Machine Learning Mastery
Release Date : 2018-01-24
Basics Of Linear Algebra For Machine Learning written by Jason Brownlee and has been published by Machine Learning Mastery this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-24 with Computers categories.
Linear algebra is a pillar of machine learning. You cannot develop a deep understanding and application of machine learning without it. In this laser-focused Ebook, you will finally cut through the equations, Greek letters, and confusion, and discover the topics in linear algebra that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover what linear algebra is, the importance of linear algebra to machine learning, vector, and matrix operations, matrix factorization, principal component analysis, and much more.
Comprehensive Linear Algebra
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Comprehensive Linear Algebra written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Comprehensive Linear Algebra" is an accessible resource for undergraduate students in the United States, providing an in-depth exploration of linear algebra principles and applications. Written with clarity, this book focuses on conceptual understanding and practical problem-solving skills. Starting with foundational concepts like vector spaces and linear transformations, it progresses to advanced topics such as eigenvalues and singular value decomposition. Clear explanations, examples, and exercises guide readers through the intricacies of linear algebra, empowering them to tackle complex problems confidently. The book emphasizes intuition and geometric interpretation, helping students visualize abstract concepts. Real-world applications from fields like computer science, physics, and economics demonstrate the relevance and versatility of linear algebra. Whether you're a mathematics major, aspiring engineer, or social sciences student, "Comprehensive Linear Algebra" is an invaluable companion, offering tools to excel in linear algebra and beyond.
Advanced Linear Algebra For Engineers With Matlab
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Author : Sohail A. Dianat
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Advanced Linear Algebra For Engineers With Matlab written by Sohail A. Dianat and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
Arming readers with both theoretical and practical knowledge, Advanced Linear Algebra for Engineers with MATLAB® provides real-life problems that readers can use to model and solve engineering and scientific problems in fields ranging from signal processing and communications to electromagnetics and social and health sciences. Facilitating a unique understanding of rapidly evolving linear algebra and matrix methods, this book: Outlines the basic concepts and definitions behind matrices, matrix algebra, elementary matrix operations, and matrix partitions, describing their potential use in signal and image processing applications Introduces concepts of determinants, inverses, and their use in solving linear equations that result from electrical and mechanical-type systems Presents special matrices, linear vector spaces, and fundamental principles of orthogonality, using an appropriate blend of abstract and concrete examples and then discussing associated applications to enhance readers’ visualization of presented concepts Discusses linear operators, eigenvalues, and eigenvectors, and explores their use in matrix diagonalization and singular value decomposition Extends presented concepts to define matrix polynomials and compute functions using several well-known methods, such as Sylvester’s expansion and Cayley-Hamilton Introduces state space analysis and modeling techniques for discrete and continuous linear systems, and explores applications in control and electromechanical systems, to provide a complete solution for the state space equation Shows readers how to solve engineering problems using least square, weighted least square, and total least square techniques Offers a rich selection of exercises and MATLAB® assignments that build a platform to enhance readers’ understanding of the material Striking the appropriate balance between theory and real-life applications, this book provides both advanced students and professionals in the field with a valuable reference that they will continually consult.
Methods Of Geometry
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Author : James T. Smith
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-01
Methods Of Geometry written by James T. Smith and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-01 with Mathematics categories.
A practical, accessible introduction to advanced geometryExceptionally well-written and filled with historical andbibliographic notes, Methods of Geometry presents a practical andproof-oriented approach. The author develops a wide range ofsubject areas at an intermediate level and explains how theoriesthat underlie many fields of advanced mathematics ultimately leadto applications in science and engineering. Foundations, basicEuclidean geometry, and transformations are discussed in detail andapplied to study advanced plane geometry, polyhedra, isometries,similarities, and symmetry. An excellent introduction to advancedconcepts as well as a reference to techniques for use inindependent study and research, Methods of Geometry alsofeatures: Ample exercises designed to promote effective problem-solvingstrategies Insight into novel uses of Euclidean geometry More than 300 figures accompanying definitions and proofs A comprehensive and annotated bibliography Appendices reviewing vector and matrix algebra, least upperbound principle, and equivalence relations An Instructor's Manual presenting detailed solutions to all theproblems in the book is available upon request from the Wileyeditorial department.
Applied Mathematics
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Author : Bruno Carpentieri
language : en
Publisher: BoD – Books on Demand
Release Date : 2019-09-25
Applied Mathematics written by Bruno Carpentieri and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-25 with Mathematics categories.
This book contains well-written monographs within the broad spectrum of applied mathematics, offering an interesting reading of some of the current trends and problems in this fascinating and critically important field of science to a broad category of researchers and practitioners. Recent developments in high-performance computing are radically changing the way we do numerics. As the size of problems is expected to grow very large in the future, the gap between fast and slow algorithms is growing rapidly. Novel classes of numerical methods with reduced computational complexity are therefore needed to make the rigorous numerical solution of difficult problems arising in an industrial setting more affordable. The book is structured in four distinct parts, according to the purpose and approaches used in the development of the contributions, ranging from optimization techniques to graph-oriented approaches and approximation theory, providing a good mix of both theory and practice.
Calculus Concept And Applications
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Author : Dr. Sivasankar
language : en
Publisher: Shineeks Publishers
Release Date : 2024-05-21
Calculus Concept And Applications written by Dr. Sivasankar and has been published by Shineeks Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-21 with Education categories.
Calculus is a cornerstone of modern mathematics and serves as a vital tool for understanding the world around us. From modeling the growth of populations to predicting the trajectory of rockets, the concepts of calculus are deeply embedded in the fabric of science, engineering, economics, and numerous other fields. This book, Introduction to Calculus, is designed to offer a comprehensive yet accessible exploration of calculus, bridging foundational theory with practical applications. The journey begins with a focus on the Introduction to Calculus, offering a conceptual framework by exploring rates of change, the historical context of its development, and its significance in various disciplines. This historical perspective not only situates calculus within the broader narrative of mathematical discovery but also demonstrates its lasting impact on various scientific and engineering endeavors. In subsequent chapters, we delve deeper into key topics that form the core of calculus. The chapter on Functions and Limits establishes the groundwork by explaining fundamental concepts such as functions, types of functions, and limits. These ideas serve as the building blocks for the study of Differentiation and Integration, where the rules and techniques are systematically explored. Each chapter is structured to introduce new concepts gradually, followed by relevant applications—optimization, curve sketching, and areas under curves—to show the tangible use of calculus in real-world problem-solving. Beyond the basics, the book expands to cover more advanced topics. The chapters on Differential Equations introduce first-order equations and their practical applications, while Sequences and Series provide insights into the behavior of infinite processes, such as Taylor and Maclaurin series. A special section on Multivariable Calculus addresses functions of several variables, partial derivatives, and vector calculus, extending the scope of the reader’s understanding into more complex dimensions. Recognizing the interdisciplinary nature of calculus, we have included a chapter dedicated to its applications in Science and Engineering. This section illustrates how calculus supports the exploration of phenomena in physics, engineering, economics, and biology, emphasizing its broad relevance. The final chapters introduce readers to Advanced Topics in Calculus, including nonlinear differential equations, Laplace transforms, and Fourier series, as well as computational tools such as MATLAB, Mathematica, and Python. These computational tools allow readers to apply numerical methods and visualize calculus problems in ways that were previously unimaginable. The aim of this book is to provide a clear, structured, and engaging approach to learning calculus, regardless of the reader’s background or experience level. Whether you are a student embarking on your first encounter with calculus or a professional looking to refresh your knowledge, we hope this book will guide you through both the theoretical and practical aspects of the subject. We encourage you to engage deeply with the exercises and real-world applications provided in each chapter. By doing so, you will not only master the fundamental concepts but also gain an appreciation for the elegance and power of calculus.
Applied Linear Algebra
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Author : Kartikeya Dutta
language : en
Publisher: Educohack Press
Release Date : 2025-02-20
Applied Linear Algebra written by Kartikeya Dutta and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.
"Applied Linear Algebra: Core Principles" is a comprehensive guide that delves into the principles, methodologies, and practical applications of linear algebra in various fields of science, engineering, and technology. Combining theoretical foundations, computational techniques, and real-world examples, this book offers a holistic approach to understanding and utilizing linear algebra concepts. Covering a wide range of topics, including vector spaces, matrices, eigenvalue problems, singular value decomposition, and numerical techniques, readers will gain a thorough understanding of both fundamental and advanced principles. Real-world applications in data science, machine learning, signal processing, control systems, and image processing are integrated throughout, demonstrating the practical relevance of linear algebra. Complex mathematical concepts are presented in a clear and accessible manner, making the book suitable for students, researchers, and practitioners with varying levels of mathematical background. Detailed explanations, illustrative examples, and step-by-step solutions aid comprehension and retention. An interdisciplinary approach connects theoretical concepts with practical applications, highlighting the versatility of linear algebra in solving real-world problems. Extensive references to literature, research papers, and online resources enable readers to explore topics in greater depth. This book is an invaluable resource for students, researchers, and professionals seeking to apply linear algebra techniques in their work across various domains.
Integral Equation Methods For Electromagnetic And Elastic Waves
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Author : Weng Chew
language : en
Publisher: Springer Nature
Release Date : 2022-05-31
Integral Equation Methods For Electromagnetic And Elastic Waves written by Weng Chew and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-31 with Technology & Engineering categories.
Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms
Stem Education Concepts Methodologies Tools And Applications
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Author : Management Association, Information Resources
language : en
Publisher: IGI Global
Release Date : 2014-12-31
Stem Education Concepts Methodologies Tools And Applications written by Management Association, Information Resources and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-31 with Education categories.
"This reference brings together an impressive array of research on the development of Science, Technology, Engineering, and Mathematics curricula at all educational levels"--Provided by publisher.