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Author | Gilbert Strang | |

ISBN-10 | 0980232791 | |

Release | 2014-08-31 | |

Pages | 510 | |

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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 | |

ISBN-10 | 9780486158310 | |

Release | 2012-10-05 | |

Pages | 432 | |

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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 | Albert L. Rabenstein | |

ISBN-10 | 9781483262376 | |

Release | 2014-05-10 | |

Pages | 528 | |

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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. |

Author | Todd Kapitula | |

ISBN-10 | 9781611974096 | |

Release | 2015-11-17 | |

Pages | 300 | |

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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 | Matthew R. Boelkins | |

ISBN-10 | 9780199736669 | |

Release | 2009-11-05 | |

Pages | 576 | |

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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 |

Author | Alexander Givental | |

ISBN-10 | 0821828509 | |

Release | 2001 | |

Pages | 132 | |

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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 | Henry Edwards | |

ISBN-10 | 9780134661674 | |

Release | 2017-01-25 | |

Pages | 784 | |

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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 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 | Jerry Farlow | |

ISBN-10 | 0134689542 | |

Release | 2017-02-17 | |

Pages | 736 | |

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

Author | Morris W. Hirsch | |

ISBN-10 | 9780080873763 | |

Release | 1974-06-28 | |

Pages | 358 | |

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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 | Ross L. Finney | |

ISBN-10 | UOM:39015016357900 | |

Release | 1976 | |

Pages | 515 | |

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Elementary differential equations with linear algebra has been writing in one form or another for most of life. You can find so many inspiration from Elementary differential equations with linear algebra also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Elementary differential equations with linear algebra book for free. |

Author | Anne C. Baker | |

ISBN-10 | 0135384559 | |

Release | 1990-11 | |

Pages | 424 | |

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Linear algebra and differential equations has been writing in one form or another for most of life. You can find so many inspiration from Linear algebra and differential equations also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Linear algebra and differential equations book for free. |

Author | Tom M. Apostol | |

ISBN-10 | 9781118626016 | |

Release | 2014-08-22 | |

Pages | 347 | |

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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 | Stephen W. Goode | |

ISBN-10 | 9780321990167 | |

Release | 2016-01-07 | |

Pages | 750 | |

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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. |

Author | Richard E. Williamson | |

ISBN-10 | STANFORD:36105031433068 | |

Release | 1979-03 | |

Pages | 575 | |

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Multivariable mathematics has been writing in one form or another for most of life. You can find so many inspiration from Multivariable mathematics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Multivariable mathematics book for free. |

Author | CTI Reviews | |

ISBN-10 | 9781467297240 | |

Release | 2016-09-26 | |

Pages | 38 | |

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Facts101 is your complete guide to Differential Equations and Linear Algebra. In this book, you will learn topics such as Determinants, Vector Spaces, Linear Transformations, and Linear Differential Equations of Order n plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time. |

Author | Alan Parks | |

ISBN-10 | 1535007222 | |

Release | 2016-06-29 | |

Pages | 236 | |

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A post-calculus course in differential equations and linear algebra with an emphasis on standard problems and solution techniques. Introduces many areas of application in the natural and social sciences. Reflects the close relationship between differential equations and linear algebra. |

Author | Stanley I. Grossman | |

ISBN-10 | 9781483218038 | |

Release | 2014-05-10 | |

Pages | 992 | |

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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. |