Introduction To Linear Algebra And Differential Equations
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Author | : John W. Dettman |
Publisher | : Courier Corporation |
Total Pages | : 442 |
Release | : 2012-10-05 |
Genre | : Mathematics |
ISBN | : 0486158314 |
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 | : Robert C. McOwen |
Publisher | : |
Total Pages | : 270 |
Release | : 2012-08-01 |
Genre | : Algebras, Linear |
ISBN | : 9780984207121 |
Author | : Matthew R. Boelkins |
Publisher | : OUP USA |
Total Pages | : 572 |
Release | : 2009-11-05 |
Genre | : Mathematics |
ISBN | : 0195385861 |
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 |
Total Pages | : 308 |
Release | : 2015-11-17 |
Genre | : Mathematics |
ISBN | : 1611974097 |
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 | : Gilbert Strang |
Publisher | : Wellesley-Cambridge Press |
Total Pages | : 0 |
Release | : 2015-02-12 |
Genre | : Mathematics |
ISBN | : 9780980232790 |
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 | : |
Total Pages | : 69 |
Release | : 1974 |
Genre | : |
ISBN | : 9780070166035 |
Author | : Martin Golubitsky |
Publisher | : Cengage Learning |
Total Pages | : 704 |
Release | : 1999-01 |
Genre | : Computers |
ISBN | : 9780534354251 |
These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLABĀ® with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.
Author | : Jason Brownlee |
Publisher | : Machine Learning Mastery |
Total Pages | : 211 |
Release | : 2018-01-24 |
Genre | : Computers |
ISBN | : |
Linear algebra is a pillar of machine learning. You cannot develop a deep understanding and application of machine learning without it. In this laser-focused Ebook, you will finally cut through the equations, Greek letters, and confusion, and discover the topics in linear algebra that you need to know. Using clear explanations, standard Python libraries, and step-by-step tutorial lessons, you will discover what linear algebra is, the importance of linear algebra to machine learning, vector, and matrix operations, matrix factorization, principal component analysis, and much more.
Author | : Howard Anton |
Publisher | : John Wiley & Sons |
Total Pages | : 582 |
Release | : 2010-03-15 |
Genre | : Mathematics |
ISBN | : 0470458216 |
When it comes to learning linear algebra, engineers trust Anton. The tenth edition presents the key concepts and topics along with engaging and contemporary applications. The chapters have been reorganized to bring up some of the more abstract topics and make the material more accessible. More theoretical exercises at all levels of difficulty are integrated throughout the pages, including true/false questions that address conceptual ideas. New marginal notes provide a fuller explanation when new methods and complex logical steps are included in proofs. Small-scale applications also show how concepts are applied to help engineers develop their mathematical reasoning.
Author | : Stanley I. Grossman |
Publisher | : Academic Press |
Total Pages | : 993 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483218031 |
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.