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Linear Algebra For Dummies

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Linear Algebra For Dummies

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Author : Mary Jane Sterling
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-07

Linear Algebra For Dummies written by Mary Jane Sterling 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 2009-07-07 with Mathematics categories.

Learn to: Solve linear algebra equations in several ways Put data in order with matrices Determine values with determinants Work with eigenvalues and eigenvectors Your hands-on guide to real-world applications of linear algebra Does linear algebra leave you feeling lost? No worries this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction. Line up the basics discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices Relate vectors and linear transformations link vectors and matrices with linear combinations and seek solutions of homogeneous systems Evaluate determinants see how to perform the determinant function on different sizes of matrices and take advantage of Cramer's rule Hone your skills with vector spaces determine the properties of vector spaces and their subspaces and see linear transformation in action Tackle eigenvalues and eigenvectors define and solve for eigenvalues and eigenvectors and understand how they interact with specific matrices Open the book and find: Theoretical and practical ways of solving linear algebra problems Definitions of terms throughout and in the glossary New ways of looking at operations How linear algebra ties together vectors, matrices, determinants, and linear transformations Ten common mathematical representations of Greek letters Real-world applications of matrices and determinants

Linear Algebra For Dummies

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Author : Mary Jane Sterling
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-05

A Brief Course In Linear Algebra

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Author : Whye-Teong Ang
language : en
Publisher: BrownWalker Press
Release Date : 2019-06-15

A Brief Course In Linear Algebra written by Whye-Teong Ang and has been published by BrownWalker Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-15 with Mathematics categories.

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.

Linear Algebra For Beginners Open Doors To Great Careers

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Author : Richard Han
language : en
Publisher: Linear Algebra for Beginners
Release Date : 2018-10-16

Linear Algebra For Beginners Open Doors To Great Careers written by Richard Han and has been published by Linear Algebra for Beginners this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-16 with Mathematics categories.

From machine learning and data science to engineering and finance, linear algebra is an important prerequisite for the careers of today and of the future. There aren't many resources out there that give simple detailed examples and that walk you through the topics step by step. Many resources out there are either too dry or too difficult. This book aims to teach linear algebra step-by-step with examples that are simple but concrete.

Algebraic Geometry For Beginners

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Author : C. Musili
language : en
Publisher: Springer
Release Date : 2001-03-15

Algebraic Geometry For Beginners written by C. Musili and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-15 with Mathematics categories.

Cartan For Beginners

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Author : Thomas Andrew Ivey
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Cartan For Beginners written by Thomas Andrew Ivey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.

This book is an introduction to Cartan's approach to differential geometry. Two central methods in Cartan's geometry are the theory of exterior differential systems and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems. It begins with the classical geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics.One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. The book features an introduction to $G$-structures and a treatment of the theory of connections. The Cartan machinery is also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as PDEs and algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields.

Algebraic Number Theory For Beginners

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Author : John Stillwell
language : en
Publisher: Cambridge University Press
Release Date : 2022-08-11

Algebraic Number Theory For Beginners written by John Stillwell 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 2022-08-11 with Mathematics categories.

A concise and well-motivated introduction to algebraic number theory, following the evolution of unique prime factorization through history.

Linear Programming For Beginners

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Author : Doris Lloyd Grosh
language : en
Publisher: Lulu.com
Release Date : 2010

Linear Programming For Beginners written by Doris Lloyd Grosh and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.

This book fills a gap in the linear programming literature, by explaining the steps that are illustrated but not always fully explained in every elementary operations book - the steps that lead from the elementary and intuitive graphical method of solution to the more advanced simplex tableau method. Most of the world, even those technically trained, can get along very well by seeing a few illustrations of simple linear programming problems solved graphically, followed by instruction in the use of computer software for solving real-world problems. But there needs to be a coterie of initiates who understand the process well enough to explain it to others, to know what the pitfalls, ramifications and special cases are, and to provide further developments. I have used an informal narrative style with a number of worked out examples and detailed explanations, to put the topic within reach.

Optimization A Comprehensive Guide For Beginners

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Author : Pasquale De Marco
language : en
Publisher: Pasquale De Marco
Release Date : 2025-03-18

Optimization A Comprehensive Guide For Beginners 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 2025-03-18 with Mathematics categories.

This book is a comprehensive guide to optimization, covering both the theoretical foundations and practical applications of optimization techniques. It is written for students, researchers, and practitioners who want to learn about optimization and how to use it to solve real-world problems. The book begins with an introduction to the basic concepts of optimization, including the definition of an optimization problem, the different types of optimization problems, and the various optimization techniques that can be used to solve them. The book then moves on to discuss linear programming, which is a widely used technique for solving problems with linear objective functions and constraints. The book also covers nonlinear programming, integer programming, and dynamic programming, which are more advanced optimization techniques that can be used to solve more complex problems. In addition to these basic techniques, the book also discusses more advanced topics such as stochastic optimization, multi-objective optimization, and optimization in machine learning and finance. The book also includes a chapter on how to choose the right optimization technique for a particular problem. This book is a valuable resource for anyone who wants to learn about optimization. It is written in a clear and concise style, and it includes numerous examples and exercises to help readers understand the concepts and techniques discussed in the book. Whether you are a student, researcher, or practitioner, this book will provide you with the knowledge and skills you need to solve optimization problems and make better decisions. If you like this book, write a review!

Cartan For Beginners

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Author : Thomas A. Ivey
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-12-15

Cartan For Beginners written by Thomas A. Ivey and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-15 with Mathematics categories.

Two central aspects of Cartan's approach to differential geometry are the theory of exterior differential systems (EDS) and the method of moving frames. This book presents thorough and modern treatments of both subjects, including their applications to both classic and contemporary problems in geometry. It begins with the classical differential geometry of surfaces and basic Riemannian geometry in the language of moving frames, along with an elementary introduction to exterior differential systems. Key concepts are developed incrementally, with motivating examples leading to definitions, theorems, and proofs. Once the basics of the methods are established, the authors develop applications and advanced topics. One notable application is to complex algebraic geometry, where they expand and update important results from projective differential geometry. As well, the book features an introduction to G-structures and a treatment of the theory of connections. The techniques of EDS are also applied to obtain explicit solutions of PDEs via Darboux's method, the method of characteristics, and Cartan's method of equivalence. This text is suitable for a one-year graduate course in differential geometry, and parts of it can be used for a one-semester course. It has numerous exercises and examples throughout. It will also be useful to experts in areas such as geometry of PDE systems and complex algebraic geometry who want to learn how moving frames and exterior differential systems apply to their fields. The second edition features three new chapters: on Riemannian geometry, emphasizing the use of representation theory; on the latest developments in the study of Darboux-integrable systems; and on conformal geometry, written in a manner to introduce readers to the related parabolic geometry perspective.

Linear Algebra For Dummies

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