Linear Methods: A General Education Course

Linear Methods: A General Education Course
ISBN-10
135168969X
ISBN-13
9781351689694
Category
Mathematics
Pages
410
Language
English
Published
2018-08-06
Publisher
CRC Press
Authors
David Hecker, Stephen Andrilli

Description

Linear Methods: A General Education Course is expressly written for non-mathematical students, particularly freshmen taking a required core mathematics course. Rather than covering a hodgepodge of different topics as is typical for a core mathematics course, this text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth. The material is presented in an accessible manner, as opposed to a traditional overly rigorous approach. While introducing students to useful topics in linear algebra, the book also includes a gentle introduction to more abstract facets of the subject. Many relevant uses of linear algebra in today’s world are illustrated, including applications involving business, economics, elementary graph theory, Markov chains, linear regression and least-squares polynomials, geometric transformations, and elementary physics. The authors have included proofs of various important elementary theorems and properties which provide readers with the reasoning behind these results. Features: Written for a general education core course in introductory mathematics Introduces elementary linear algebra concepts to non-mathematics majors Provides an informal introduction to elementary proofs involving matrices and vectors Includes useful applications from linear algebra related to business, graph theory, regression, and elementary physics Authors Bio: David Hecker is a Professor of Mathematics at Saint Joseph's University in Philadelphia. He received his Ph.D. from Rutgers University and has published several journal articles. He also co-authored several editions of Elementary Linear Algebra with Stephen Andrilli. Stephen Andrilli is a Professor in the Mathematics and Computer Science Department at La Salle University in Philadelphia. He received his Ph.D. from Rutgers University and also co-authored several editions of Elementary Linear Algebra with David Hecker.

Other editions

Similar books

  • Linear Methods: A General Education Course
    By David Hecker, Stephen Andrilli

    Rather than covering a hodgepodge of different topics as is typical for a core mathematics course, this text encourages students to explore one particular branch of mathematics, elementary linear algebra, in some depth.

  • General Linear Methods for Ordinary Differential Equations
    By Zdzislaw Jackiewicz

    This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including ...

  • Computational Methods of Linear Algebra
    By V. N. Faddeeva, Dmitriĭ Konstantinovich Faddeev

    Computational Methods of Linear Algebra

  • Basic Methods of Linear Functional Analysis
    By John D. Pryce

    Introduction to the themes of mathematical analysis, geared toward advanced undergraduate and graduate students.

  • Iterative Methods for Sparse Linear Systems: Second Edition
    By Yousef Saad

    Mathematics of Computing -- General.

  • Direct Methods for Sparse Linear Systems
    By Timothy A. Davis

    The book includes CSparse, a concise downloadable sparse matrix package that illustrates the algorithms and theorems presented in the book and equips readers with the tools necessary to understand larger and more complex software packages ...

  • Linear Algebra and Linear Models
    By Ravindra B. Bapat

    This book provides a rigorous introduction to the basic aspects of the theory of linear estimation and hypothesis testing, covering the necessary prerequisites in matrices, multivariate normal distribution and distributions of quadratic ...

  • Hierarchical Linear Models: Applications and Data Analysis Methods
    By Anthony S. Bryk, Dr Stephen W Raudenbush

    Much social and behavioral research involves hierarchical data structures. The effects of school characteristics on students, how differences in government policies from country to country influence demographic relations within them,...

  • Krylov Methods for Nonsymmetric Linear Systems: From Theory to Computations
    By Gerard Meurant, Jurjen Duintjer Tebbens

    This book aims to give an encyclopedic overview of the state-of-the-art of Krylov subspace iterative methods for solving nonsymmetric systems of algebraic linear equations and to study their mathematical properties.

  • Optimal Control: Linear Quadratic Methods
    By John B. Moore, Brian D. O. Anderson

    Consider a single-input problem, with R = 1. Then we have for continuous and discrete time l1—k'(ij—F)'1g|21 (5.7-5) and, using (5.7-3), l1 - k'(e""I - Hg] 2 m (5.7-6) Because g'Sg >0, this means that the Nyquist plot of k'(e""I — F)'1g ...