Differential Equations Linear Algebra Download Ebook PDF Epub Online

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 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 : 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 : 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 : Todd Kapitula
Publisher : SIAM
Release : 2015-11-17
Page : 300
Category : Mathematics
ISBN 13 : 1611974089
Description :


Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.


Author : C. Henry Edwards
David E. Penney
Publisher :
Release : 2017-01-04
Page : 768
Category : Algebras, Linear
ISBN 13 : 9780134497181
Description :


For courses in Differential Equations and Linear Algebra . Concepts, methods, and core topics covering elementary differential equations and linear algebra through real-world applications In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of elementary linear algebra. Renowned for its real-world applications and blend of algebraic and geometric approaches, Differential Equations and Linear Algebra introduces you to mathematical modeling of real-world phenomena and offers the best problems sets in any differential equations and linear algebra textbook. The 4th Edition includes fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Additionally, an Expanded Applications website containing expanded applications and programming tools is now available.


Author : Anne C. Baker
Hugh L. Porteous
Publisher : Prentice Hall
Release : 1990
Page : 424
Category : Mathematics
ISBN 13 :
Description :



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 :
Publisher :
Release :
Page :
Category :
ISBN 13 : 9814467960
Description :



Author : Tom M. Apostol
Publisher : John Wiley & Sons
Release : 2014-08-22
Page : 347
Category : Mathematics
ISBN 13 : 111862601X
Description :


Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.


Author : Morris W. Hirsch
Robert L. Devaney
Publisher : Academic Press
Release : 1974-06-28
Page : 358
Category : Mathematics
ISBN 13 : 0080873766
Description :


This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject.


Author : Henry Edwards
Publisher : Pearson College Division
Release : 2008-12-01
Page : 340
Category : Mathematics
ISBN 13 : 9780136054276
Description :



Author : Morris Tenenbaum
Harry Pollard
Publisher : Courier Corporation
Release : 1963
Page : 808
Category : Mathematics
ISBN 13 : 0486649407
Description :


Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.


Author : Gary L. Peterson
James S. Sochacki
Publisher : Addison Wesley
Release : 2002
Page : 463
Category : Mathematics
ISBN 13 : 9780201662122
Description :


This book has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By introducing matrices, determinants, and vector spaces early in the course, the authors are able to fully develop the connections between linear algebra and differential equations. The book is flexible enough to be easily adapted to fit most syllabi, including courses that cover differential equations first. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest. Matrices and Determinants; Vector Spaces; First Order Ordinary Differential Equations; Linear Differential Equations; Linear Transformations and Eigenvalues and Eigenvectors; Systems of Differential Equations; The Laplace Transform; Power Series Solutions to Linear Differential Equations; Inner Product Spaces For all readers interested in linear algebra and differential equations.


Author : Stephen W. Goode
Scott A. Annin
Publisher : Pearson
Release : 2015-12-11
Page : 888
Category : Algebras, Linear
ISBN 13 : 9780321964670
Description :


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 : Alan Jeffrey
Publisher : CRC Press
Release : 1991-03-03
Page : 1136
Category : Mathematics
ISBN 13 : 9780865421141
Description :


This book, written for undergraduate engineering and applied mathematics students, incorporates a broad coverage of essential standard topics in differential equations with material important to the engineering and applied mathematics fields. Because linear differential equations and systems play an essential role in many applications, the book presents linear algebra using a detailed development of matrix algebra, preceded by a short discussion of the algebra of vectors. New ideas are introduced with carefully chosen illustrative examples, which in turn are reinforced by the problem sets at the end of each section. The problem sets are divided into two parts. The first part contains straightforward problems similar to those in the text that are designed to emphasize key concepts and develop manipulative skills. The second part provides a more difficult group of problems that both extend the text and provide a deeper insight into the subject.


Author : Alan Jeffrey
Publisher : Springer
Release : 1993
Page : 1123
Category : Mathematics
ISBN 13 : 9780849386022
Description :



Author : David L. Powers
Publisher : Prindle Weber & Schmidt
Release : 1986
Page : 573
Category : Mathematics
ISBN 13 :
Description :



Author : Robert C. McOwen
Publisher :
Release : 2012-08-01
Page : 270
Category : Algebras, Linear
ISBN 13 : 9780984207121
Description :



Author : Michael D. Greenberg
Publisher :
Release : 2001
Page : 615
Category : Mathematics
ISBN 13 : 9780130111180
Description :


Written by a mathematician/engineer/scientist author who brings all three perspectives to the book. This volume offers an extremely easy-to-read and easy-to-comprehend exploration of both ordinary differential equations and linear algebra--motivated throughout by high-quality applications to science and engineering. Features many optional sections and subsections that allow topics to be covered comprehensively, moderately, or minimally, and includes supplemental coverage of Maple at the end of most sections. For anyone interested in Differential Equations and Linear Algebra.