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Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 55,5 Mb
Release : 2018-06-07
Category : Business & Economics
ISBN : 9781316518960
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 54,5 Mb
Release : 2018-06-07
Category : Technology & Engineering
ISBN : 9781108569613
This groundbreaking textbook combines straightforward explanations with a wealth of practical examples to offer an innovative approach to teaching linear algebra. Requiring no prior knowledge of the subject, it covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, discussing examples across data science, machine learning and artificial intelligence, signal and image processing, tomography, navigation, control, and finance. The numerous practical exercises throughout allow students to test their understanding and translate their knowledge into solving real-world problems, with lecture slides, additional computational exercises in Julia and MATLAB®, and data sets accompanying the book online. Suitable for both one-semester and one-quarter courses, as well as self-study, this self-contained text provides beginning students with the foundation they need to progress to more advanced study.
Author : Peter J. Olver,Chehrzad Shakiban
Publisher : Springer
Page : 679 pages
File Size : 44,9 Mb
Release : 2018-05-30
Category : Mathematics
ISBN : 9783319910413
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.
Author : Carl D. Meyer
Publisher : SIAM
Page : 729 pages
File Size : 43,7 Mb
Release : 2000-06-01
Category : Mathematics
ISBN : 9780898714548
This book avoids the traditional definition-theorem-proof format; instead a fresh approach introduces a variety of problems and examples all in a clear and informal style. The in-depth focus on applications separates this book from others, and helps students to see how linear algebra can be applied to real-life situations. Some of the more contemporary topics of applied linear algebra are included here which are not normally found in undergraduate textbooks. Theoretical developments are always accompanied with detailed examples, and each section ends with a number of exercises from which students can gain further insight. Moreover, the inclusion of historical information provides personal insights into the mathematicians who developed this subject. The textbook contains numerous examples and exercises, historical notes, and comments on numerical performance and the possible pitfalls of algorithms. Solutions to all of the exercises are provided, as well as a CD-ROM containing a searchable copy of the textbook.
Author : James W. Demmel
Publisher : SIAM
Page : 426 pages
File Size : 52,6 Mb
Release : 1997-08-01
Category : Mathematics
ISBN : 9780898713893
This comprehensive textbook is designed for first-year graduate students from a variety of engineering and scientific disciplines.
Author : Lorenzo Sadun
Publisher : American Mathematical Society
Page : 392 pages
File Size : 40,7 Mb
Release : 2022-06-07
Category : Mathematics
ISBN : 9781470470043
Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle. Traditionally, difference equations, Markov chains, coupled oscillators, Fourier series, the wave equation, the Schrödinger equation, and Fourier transforms are treated separately, often in different courses. Here, they are treated as particular instances of the decoupling principle, and their solutions are remarkably similar. By understanding this general principle and the many applications given in the book, students will be able to recognize it and to apply it in many other settings. Sadun includes some topics relating to infinite-dimensional spaces. He does not present a general theory, but enough so as to apply the decoupling principle to the wave equation, leading to Fourier series and the Fourier transform. The second edition contains a series of Explorations. Most are numerical labs in which the reader is asked to use standard computer software to look deeper into the subject. Some explorations are theoretical, for instance, relating linear algebra to quantum mechanics. There is also an appendix reviewing basic matrix operations and another with solutions to a third of the exercises.
Author : Thomas S. Shores
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 49,9 Mb
Release : 2007-03-12
Category : Mathematics
ISBN : 9780387489476
This new book offers a fresh approach to matrix and linear algebra by providing a balanced blend of applications, theory, and computation, while highlighting their interdependence. Intended for a one-semester course, Applied Linear Algebra and Matrix Analysis places special emphasis on linear algebra as an experimental science, with numerous examples, computer exercises, and projects. While the flavor is heavily computational and experimental, the text is independent of specific hardware or software platforms. Throughout the book, significant motivating examples are woven into the text, and each section ends with a set of exercises.
Author : Richard Bronson,Gabriel B. Costa
Publisher : Academic Press
Page : 432 pages
File Size : 41,5 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 0080922252
Matrix Methods: Applied Linear Algebra, Third Edition, as a textbook, provides a unique and comprehensive balance between the theory and computation of matrices. The application of matrices is not just for mathematicians. The use by other disciplines has grown dramatically over the years in response to the rapid changes in technology. Matrix methods is the essence of linear algebra and is what is used to help physical scientists; chemists, physicists, engineers, statisticians, and economists solve real world problems. Applications like Markov chains, graph theory and Leontief Models are placed in early chapters Readability- The prerequisite for most of the material is a firm understanding of algebra New chapters on Linear Programming and Markov Chains Appendix referencing the use of technology, with special emphasis on computer algebra systems (CAS) MATLAB
Author : Anthony N. Michel,Charles J. Herget
Publisher : Courier Corporation
Page : 514 pages
File Size : 54,6 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486675985
"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
Author : Vasilios Katsikis
Publisher : BoD – Books on Demand
Page : 175 pages
File Size : 50,9 Mb
Release : 2016-07-06
Category : Mathematics
ISBN : 9789535124191
The present text book contains a collection of six high-quality articles. In particular, this book is devoted to Linear Mathematics by presenting problems in Applied Linear Algebra of general or special interest.
Author : Alexander Basilevsky
Publisher : Courier Corporation
Page : 412 pages
File Size : 43,8 Mb
Release : 2013-01-18
Category : Mathematics
ISBN : 9780486153377
This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate and graduate students. 1983 edition.
Author : Lawrence Harvill
Publisher : Xlibris Corporation
Page : 567 pages
File Size : 46,5 Mb
Release : 2011-07-01
Category : Mathematics
ISBN : 9781462883561
Applied Matrix Algebra aims to develop an understanding of the Fundamentals of matrix algebra as well as the differential and integral calculus of matrices that are fundamental for the analysis of a wide range of applied problems. When used in conjunction with a matrix computational program, you will be in a position to readily analyze sophisticated and complex applied problems. Completion of the text should also prepare you for moving on to much more theoretical and advanced topics in linear algebra. You will understand not only the mathematical complexities of the subject, but also gain a greater insight into the intricate details of the computational algorithms with this helpful book.
Author : T. W. Körner
Publisher : Cambridge University Press
Page : 457 pages
File Size : 44,5 Mb
Release : 2013
Category : Mathematics
ISBN : 9781107033566
Explains both the how and the why of linear algebra to get students thinking like mathematicians.
Author : Sheldon Axler
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 47,5 Mb
Release : 1997-07-18
Category : Mathematics
ISBN : 0387982590
This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Author : Ben Noble
Publisher : Unknown
Page : 0 pages
File Size : 42,6 Mb
Release : 1977
Category : Algebras, Linear
ISBN : LCCN:87011511