Introduction To Linear Algebra And Differential Equations Download Ebook PDF Epub Online

Author : John W. Dettman
Publisher : Courier Corporation
Release : 2012-10-05
Page : 432
Category : Mathematics
ISBN 13 : 0486158314
Description :


Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index.


Author : Samuel Wolfenstein
Publisher :
Release : 1969
Page : 254
Category : Algebras, Linear
ISBN 13 :
Description :



Author : Alexander Givental
Publisher : American Mathematical Soc.
Release : 2001
Page : 132
Category : Mathematics
ISBN 13 : 9780821828502
Description :


The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.


Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Release : 2015-02-12
Page : 510
Category : Mathematics
ISBN 13 : 9780980232790
Description :


Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.


Author : John Warren Dettman
Publisher :
Release : 1974
Page : 69
Category :
ISBN 13 : 9780070166035
Description :



Author : Stephen Boyd
Lieven Vandenberghe
Publisher : Cambridge University Press
Release : 2018-06-07
Page : 500
Category : Business & Economics
ISBN 13 : 1316518965
Description :


A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.


Author : John W Dettman
Publisher :
Release : 2008-01-01
Page : 404
Category : Algebras, Linear
ISBN 13 : 9780486467375
Description :



Author : Stephen W. Goode
Scott A. Annin
Publisher : Pearson Higher Ed
Release : 2014-01-14
Page : 816
Category : Mathematics
ISBN 13 : 0321996968
Description :


This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus. This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.


Author : Fred Brauer
John A. Nohel
Publisher :
Release : 1970
Page : 347
Category : Algebras, Linear
ISBN 13 :
Description :



Author : John Warren Dettman
Publisher :
Release : 1974
Page : 69
Category : Algebras, Linear
ISBN 13 :
Description :



Author : Qingwen Hu
Publisher : CRC Press
Release : 2017-09-22
Page : 220
Category : Mathematics
ISBN 13 : 1351697463
Description :


Concise Introduction to Linear Algebra deals with the subject of linear algebra, covering vectors and linear systems, vector spaces, orthogonality, determinants, eigenvalues and eigenvectors, singular value decomposition. It adopts an efficient approach to lead students from vectors, matrices quickly into more advanced topics including, LU decomposition, orthogonal decomposition, Least squares solutions, Gram-Schmidt process, eigenvalues and eigenvectors, diagonalizability, spectral decomposition, positive definite matrix, quadratic forms, singular value decompositions and principal component analysis. This book is designed for onesemester teaching to undergraduate students.


Author : Gilbert Strang
Publisher : Wellesley College
Release : 1993
Page : 472
Category : Algebras, Linear
ISBN 13 :
Description :


Book Description: Gilbert Strang's textbooks have changed the entire approach to learning linear algebra -- away from abstract vector spaces to specific examples of the four fundamental subspaces: the column space and nullspace of A and A'. Introduction to Linear Algebra, Fourth Edition includes challenge problems to complement the review problems that have been highly praised in previous editions. The basic course is followed by seven applications: differential equations, engineering, graph theory, statistics, Fourier methods and the FFT, linear programming, and computer graphics. Thousands of teachers in colleges and universities and now high schools are using this book, which truly explains this crucial subject.


Author : Erol Sezer
Publisher :
Release :
Page : 350
Category : Algebras, Linear
ISBN 13 :
Description :



Author : Matthew R. Boelkins
Jack L. Goldberg
Publisher : OUP USA
Release : 2009-11-05
Page : 553
Category : Mathematics
ISBN 13 : 0195385861
Description :


Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With an example-first style, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics and engineering that study systems of differential equations.


Author : Fred Brauer
Publisher :
Release : 1970
Page :
Category :
ISBN 13 :
Description :



Author : Stanley J. Farlow
Publisher : Courier Corporation
Release : 2012-10-23
Page : 640
Category : Mathematics
ISBN 13 : 0486135136
Description :


This introductory text explores 1st- and 2nd-order differential equations, series solutions, the Laplace transform, difference equations, much more. Numerous figures, problems with solutions, notes. 1994 edition. Includes 268 figures and 23 tables.


Author : Charles Henry Edwards
David E. Penney
Publisher : Prentice Hall
Release : 2010
Page : 762
Category : Mathematics
ISBN 13 : 9780136054252
Description :


Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this book discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. First-Order Differential Equations; Mathematical Models and Numerical Methods; Linear Systems and Matrices; Vector Spaces; Higher-Order Linear Differential Equations; Eigenvalues and Eigenvectors; Linear Systems of Differential Equations; Matrix Exponential Methods; Nonlinear Systems and Phenomena; Laplace Transform Methods; Power Series Methods. For future math majors, engineers, or scientists that have taken two or three semesters of Calculus.


Author : Stephen W. Goode
Publisher :
Release : 1991-01-01
Page : 640
Category : Mathematics
ISBN 13 : 9780134856575
Description :


This very accessible guide offers a thorough introduction to the basics of differential equations and linear algebra. Expertly integrating the two topics, it explains concepts clearly and logically -without sacrificing level or rigor and supports material with a vast array of problems of varying levels for readers to choose from.


Author : Stanley I. Grossman
Publisher : Academic Press
Release : 2014-05-10
Page : 992
Category : Mathematics
ISBN 13 : 1483218031
Description :


Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.


Author : C. Henry Edwards
David E. Penney
Publisher : Pearson Higher Ed
Release : 2013-10-03
Page : 696
Category : Mathematics
ISBN 13 : 1292052805
Description :


For courses in Differential Equations and Linear Algebra. Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this text discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. In the Third Edition, new graphics and narrative have been added as needed—yet the proven chapter and section structure remains unchanged, so that class notes and syllabi will not require revision for the new edition.