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Author : Alan Tucker
Publisher : MacMillan Publishing Company
Page : 570 pages
File Size : 50,7 Mb
Release : 1988
Category : Algebras, Linear
ISBN : UCSC:32106019498804
Author : Alan Tucker,Donald Small
Publisher : Unknown
Page : 540 pages
File Size : 46,6 Mb
Release : 1988
Category : Algebras, Linear
ISBN : 0029461642
Author : Nathaniel Johnston
Publisher : Springer Nature
Page : 482 pages
File Size : 49,6 Mb
Release : 2021-05-19
Category : Mathematics
ISBN : 9783030528119
This textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, “Extra Topic” sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
Author : Hans Samelson
Publisher : Wiley-Interscience
Page : 288 pages
File Size : 55,7 Mb
Release : 1974
Category : Mathematics
ISBN : UOM:39015042065972
Vector spaces; Linear combinations; Dimension basis; Linear functionals and linear equations; Linear equations, abstractly; Matrices; Determinants; Linear transformations; Eigenvectors eigenvalues; Minimum polynomial: jordan form; Quadratic form; Inner products; The spectral theorem.
Author : Yitzhak Katznelson,Yonatan R. Katznelson
Publisher : American Mathematical Soc.
Page : 234 pages
File Size : 54,8 Mb
Release : 2008
Category : Algebras, Linear
ISBN : 9780821844199
Linear algebra is the study of vector spaces and the linear maps between them. It underlies much of modern mathematics and is widely used in applications.
Author : Øyvind Ryan
Publisher : Springer
Page : 360 pages
File Size : 40,6 Mb
Release : 2019-03-05
Category : Mathematics
ISBN : 9783030018122
This book offers a user friendly, hands-on, and systematic introduction to applied and computational harmonic analysis: to Fourier analysis, signal processing and wavelets; and to their interplay and applications. The approach is novel, and the book can be used in undergraduate courses, for example, following a first course in linear algebra, but is also suitable for use in graduate level courses. The book will benefit anyone with a basic background in linear algebra. It defines fundamental concepts in signal processing and wavelet theory, assuming only a familiarity with elementary linear algebra. No background in signal processing is needed. Additionally, the book demonstrates in detail why linear algebra is often the best way to go. Those with only a signal processing background are also introduced to the world of linear algebra, although a full course is recommended. The book comes in two versions: one based on MATLAB, and one on Python, demonstrating the feasibility and applications of both approaches. Most of the MATLAB code is available interactively. The applications mainly involve sound and images. The book also includes a rich set of exercises, many of which are of a computational nature.
Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Page : 477 pages
File Size : 41,8 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 : Rita Fioresi,Marta Morigi
Publisher : CRC Press
Page : 280 pages
File Size : 49,9 Mb
Release : 2021-09-02
Category : Mathematics
ISBN : 9781000427875
Linear algebra provides the essential mathematical tools to tackle all the problems in Science. Introduction to Linear Algebra is primarily aimed at students in applied fields (e.g. Computer Science and Engineering), providing them with a concrete, rigorous approach to face and solve various types of problems for the applications of their interest. This book offers a straightforward introduction to linear algebra that requires a minimal mathematical background to read and engage with. Features Presented in a brief, informative and engaging style Suitable for a wide broad range of undergraduates Contains many worked examples and exercises
Author : Donald J. Wright
Publisher : Unknown
Page : 392 pages
File Size : 48,5 Mb
Release : 1999
Category : Algebras, Linear
ISBN : 0071168494
Author : Géza Schay
Publisher : Springer Science & Business Media
Page : 338 pages
File Size : 44,9 Mb
Release : 2012-03-30
Category : Mathematics
ISBN : 9780817683252
Building on the author's previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshingly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recommended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course. The focus throughout is rooted in the mathematical fundamentals, but the text also investigates a number of interesting applications, including a section on computer graphics, a chapter on numerical methods, and many exercises and examples using MATLAB. Meanwhile, many visuals and problems (a complete solutions manual is available to instructors) are included to enhance and reinforce understanding throughout the book. Brief yet precise and rigorous, this work is an ideal choice for a one-semester course in linear algebra targeted primarily at math or physics majors. It is a valuable tool for any professor who teaches the subject.
Author : Ravi P. Agarwal,Elena Cristina Flaut
Publisher : CRC Press
Page : 196 pages
File Size : 47,6 Mb
Release : 2017-08-07
Category : Mathematics
ISBN : 9781351804295
The techniques of linear algebra are used extensively across the applied sciences, and in many different areas of algebra such as group theory, module theory, representation theory, ring theory, and Galois theory. Written by experienced researchers with a decades of teaching experience, Introduction to Linear Algebra is a clear and rigorous introductory text on this key topic for students of both applied sciences and pure mathematics.
Author : Maks A?zikovich Akivis,Vladislav Viktorovich Gol?dberg
Publisher : Courier Corporation
Page : 196 pages
File Size : 48,5 Mb
Release : 1972-01-01
Category : Mathematics
ISBN : 0486635457
Eminently readable and completely elementary, this treatment begins with linear spaces and ends with analytic geometry. Additional topics include multilinear forms, tensors, linear transformation, eigenvectors and eigenvalues, matrix polynomials, and more. More than 250 carefully chosen problems appear throughout the book, most with hints and answers. 1972 edition.
Author : L. Mirsky
Publisher : Courier Corporation
Page : 466 pages
File Size : 49,6 Mb
Release : 2012-12-03
Category : Mathematics
ISBN : 9780486166445
Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.
Author : John Hamal Hubbard,Barbara Burke Hubbard
Publisher : Unknown
Page : 284 pages
File Size : 41,9 Mb
Release : 2009
Category : Algebras, Linear
ISBN : 097157667X
Author : Mark J. DeBonis
Publisher : CRC Press
Page : 434 pages
File Size : 54,8 Mb
Release : 2022-02-23
Category : Mathematics
ISBN : 9781000541694
Introduction to Linear Algebra: Computation, Application, and Theory is designed for students who have never been exposed to the topics in a linear algebra course. The text is filled with interesting and diverse application sections but is also a theoretical text which aims to train students to do succinct computation in a knowledgeable way. After completing the course with this text, the student will not only know the best and shortest way to do linear algebraic computations but will also know why such computations are both effective and successful. Features: Includes cutting edge applications in machine learning and data analytics Suitable as a primary text for undergraduates studying linear algebra Requires very little in the way of pre-requisites