Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Gilbert Strang
Publsiher: Wellesley-Cambridge Press
Total Pages: 510
Release: 2014-08-31
ISBN 10: 9780980232790
ISBN 13: 0980232791
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra Book Review:

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.

Differential Equations & Linear Algebra

Differential Equations & Linear Algebra
Author: Charles Henry Edwards,David E. Penney,David Calvis
Publsiher:
Total Pages: 329
Release: 2018
ISBN 10: 9780136739692
ISBN 13: 0136739695
Language: EN, FR, DE, ES & NL

Differential Equations & Linear Algebra Book Review:

Linear Algebra and Differential Equations

Linear Algebra and Differential Equations
Author: Alexander Givental
Publsiher: American Mathematical Soc.
Total Pages: 132
Release: 2001
ISBN 10: 9780821828502
ISBN 13: 0821828509
Language: EN, FR, DE, ES & NL

Linear Algebra and Differential Equations Book Review:

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.

Differential Equations with Linear Algebra

Differential Equations with Linear Algebra
Author: Matthew R. Boelkins,Jack L. Goldberg,Merle C. Potter
Publsiher: Oxford University Press
Total Pages: 576
Release: 2009-11-05
ISBN 10: 0199736669
ISBN 13: 9780199736669
Language: EN, FR, DE, ES & NL

Differential Equations with Linear Algebra Book Review:

Linearity plays a critical role in the study of elementary differential equations; linear differential equations, especially systems thereof, demonstrate a fundamental application of linear algebra. In Differential Equations with Linear Algebra, we explore this interplay between linear algebra and differential equations and examine introductory and important ideas in each, usually through the lens of important problems that involve differential equations. Written at a sophomore level, the text is accessible to students who have completed multivariable calculus. With a systems-first approach, the book is appropriate for courses for majors in mathematics, science, and engineering that study systems of differential equations. Because of its emphasis on linearity, the text opens with a full chapter devoted to essential ideas in linear algebra. Motivated by future problems in systems of differential equations, the chapter on linear algebra introduces such key ideas as systems of algebraic equations, linear combinations, the eigenvalue problem, and bases and dimension of vector spaces. This chapter enables students to quickly learn enough linear algebra to appreciate the structure of solutions to linear differential equations and systems thereof in subsequent study and to apply these ideas regularly. The book offers an example-driven approach, beginning each chapter with one or two motivating problems that are applied in nature. The following chapter develops the mathematics necessary to solve these problems and explores related topics further. Even in more theoretical developments, we use an example-first style to build intuition and understanding before stating or proving general results. Over 100 figures provide visual demonstration of key ideas; the use of the computer algebra system Maple and Microsoft Excel are presented in detail throughout to provide further perspective and support students' use of technology in solving problems. Each chapter closes with several substantial projects for further study, many of which are based in applications. Errata sheet available at: www.oup.com/us/companion.websites/9780195385861/pdf/errata.pdf

Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations
Author: John W. Dettman
Publsiher: Courier Corporation
Total Pages: 432
Release: 2012-10-05
ISBN 10: 0486158314
ISBN 13: 9780486158310
Language: EN, FR, DE, ES & NL

Introduction to Linear Algebra and Differential Equations Book Review:

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.

Ordinary Differential Equations and Linear Algebra: A Systems Approach

Ordinary Differential Equations and Linear Algebra: A Systems Approach
Author: Todd Kapitula
Publsiher: SIAM
Total Pages: 300
Release: 2015-11-17
ISBN 10: 1611974097
ISBN 13: 9781611974096
Language: EN, FR, DE, ES & NL

Ordinary Differential Equations and Linear Algebra: A Systems Approach Book Review:

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.÷

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Charles Henry Edwards,David E. Penney
Publsiher: Prentice Hall
Total Pages: 762
Release: 2010
ISBN 10: 9780136054252
ISBN 13: 0136054250
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra Book Review:

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.

Elementary Differential Equations with Linear Algebra

Elementary Differential Equations with Linear Algebra
Author: David L. Powers
Publsiher: Prindle Weber & Schmidt
Total Pages: 573
Release: 1986
ISBN 10:
ISBN 13: CORNELL:31924109411227
Language: EN, FR, DE, ES & NL

Elementary Differential Equations with Linear Algebra Book Review:

Differential Equations, Dynamical Systems, and Linear Algebra

Differential Equations, Dynamical Systems, and Linear Algebra
Author: Morris W. Hirsch,Robert L. Devaney,Stephen Smale
Publsiher: Academic Press
Total Pages: 358
Release: 1974-06-28
ISBN 10: 0080873766
ISBN 13: 9780080873763
Language: EN, FR, DE, ES & NL

Differential Equations, Dynamical Systems, and Linear Algebra Book Review:

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.

Linear Algebra and Differential Equations

Linear Algebra and Differential Equations
Author: Anne C. Baker,Hugh L. Porteous
Publsiher: Prentice Hall
Total Pages: 424
Release: 1990
ISBN 10:
ISBN 13: UCSC:32106009603405
Language: EN, FR, DE, ES & NL

Linear Algebra and Differential Equations Book Review:

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Charles Henry Edwards
Publsiher: Prentice Hall
Total Pages: 264
Release: 2001-05-29
ISBN 10: 9780130910516
ISBN 13: 0130910511
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra Book Review:

Linear Algebra and Differential Equations

Linear Algebra and Differential Equations
Author: Gary L. Peterson,James S. Sochacki
Publsiher:
Total Pages: 480
Release: 2013-11-01
ISBN 10: 9781292042732
ISBN 13: 1292042737
Language: EN, FR, DE, ES & NL

Linear Algebra and Differential Equations Book Review:

Linear Algebra and Differential Equations 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 separate courses that that cover linear algebra in the first followed by differential equations in the second. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Stephen W. Goode,Scott A. Annin
Publsiher: Pearson
Total Pages: 750
Release: 2016-01-07
ISBN 10: 0321990161
ISBN 13: 9780321990167
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra Book Review:

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. Differential Equations and Linear Algebra is designed for use in combined differential equations and linear algebra courses. It is best suited for students who have successfully completed three semesters of calculus. Differential Equations and Linear Algebra presents a carefully balanced and sound integration of both differential equations and linear algebra. It promotes in-depth understanding rather than rote memorization, enabling readers to fully comprehend abstract concepts and leave the course with a solid foundation in key areas. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. The Fourth Edition includes many updated problems to support the material, with varying difficulty levels from which students/instructors can choose.

Elementary Differential Equations with Linear Algebra

Elementary Differential Equations with Linear Algebra
Author: Albert L. Rabenstein
Publsiher: Academic Press
Total Pages: 528
Release: 2014-05-10
ISBN 10: 1483262375
ISBN 13: 9781483262376
Language: EN, FR, DE, ES & NL

Elementary Differential Equations with Linear Algebra Book Review:

Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.

Differential Equations and Linear Algebra: Pearson New International Edition

Differential Equations and Linear Algebra: Pearson New International Edition
Author: Stephen W. Goode,Scott A. Annin
Publsiher: Pearson Higher Ed
Total Pages: 800
Release: 2013-08-29
ISBN 10: 1292037725
ISBN 13: 9781292037721
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra: Pearson New International Edition Book Review:

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.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Jerry Farlow,James Hall,Beverly H. West,Jean MCDILL
Publsiher: Pearson Modern Classics for Ad
Total Pages: 736
Release: 2017-02-17
ISBN 10: 9780134689548
ISBN 13: 0134689542
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra Book Review:

Originally published in 2007, reissued as part of Pearson's modern classic series.

Worldwide Differential Equations

Worldwide Differential Equations
Author: Robert C. McOwen
Publsiher:
Total Pages: 270
Release: 2012-08-01
ISBN 10: 9780984207121
ISBN 13: 0984207120
Language: EN, FR, DE, ES & NL

Worldwide Differential Equations Book Review:

Differential Equations and Linear Algebra: Pearson New International Edition

Differential Equations and Linear Algebra: Pearson New International Edition
Author: C. Henry Edwards,David E. Penney
Publsiher: Pearson Higher Ed
Total Pages: 696
Release: 2013-10-03
ISBN 10: 1292052805
ISBN 13: 9781292052809
Language: EN, FR, DE, ES & NL

Differential Equations and Linear Algebra: Pearson New International Edition Book Review:

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.

Differential Equations & Linear Algebra

Differential Equations & Linear Algebra
Author: Jerry Farlow,James E. Hall,Beverly H. West
Publsiher: Pearson College Division
Total Pages: 705
Release: 2007
ISBN 10: 9780131860612
ISBN 13: 0131860615
Language: EN, FR, DE, ES & NL

Differential Equations & Linear Algebra Book Review:

For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors' consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations -- and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).

An Introduction to Differential Equations and Linear Algebra

An Introduction to Differential Equations and Linear Algebra
Author: Stephen W. Goode
Publsiher:
Total Pages: 640
Release: 1991-01-01
ISBN 10: 9780134856575
ISBN 13: 0134856570
Language: EN, FR, DE, ES & NL

An Introduction to Differential Equations and Linear Algebra Book Review:

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.