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Author: John W. Dettman
Publisher: Courier Corporation
Published: 2012-10-05
Total Pages: 432
ISBN-13: 0486158314
DOWNLOAD EBOOK →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: Alan Jeffrey
Publisher: CRC Press
Published: 1991-03-03
Total Pages: 1136
ISBN-13: 9780865421141
DOWNLOAD EBOOK →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: Gilbert Strang
Publisher: Wellesley-Cambridge Press
Published: 2015-02-12
Total Pages: 0
ISBN-13: 9780980232790
DOWNLOAD EBOOK →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: Martin Golubitsky
Publisher: Cengage Learning
Published: 1999-01
Total Pages: 704
ISBN-13: 9780534354251
DOWNLOAD EBOOK →These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB® 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: John Warren Dettman
Publisher:
Published: 1974
Total Pages: 69
ISBN-13: 9780070166035
DOWNLOAD EBOOK →Author: Charles Henry Edwards
Publisher: Prentice Hall
Published: 2010
Total Pages: 0
ISBN-13: 9780136054252
DOWNLOAD EBOOK →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: Frank M. Stewart
Publisher: Courier Dover Publications
Published: 2019-07-17
Total Pages: 307
ISBN-13: 0486841510
DOWNLOAD EBOOK →Introduction to Linear Algebra stresses finite dimensional vector spaces and linear transformations. Intended for undergraduate majors in mathematics, applied mathematics, chemistry, and physics, the treatment's only prerequisite is a first course in calculus. Proofs are given in detail, and carefully chosen problems demonstrate the variety of situations in which these concepts arise. After a brief Introduction, the text advances to chapters on the plane, linear dependence, span, dimension, bases, and subspaces. Subsequent chapters explore linear transformations, the dual space in terms of multilinear forms and determinants, a traditional treatment of determinants, and inner product spaces. Extensive Appendixes cover equations and identities; variables, quantifiers, and unknowns; sets; proofs; indices and summations; and functions.
Author: Jason Brownlee
Publisher: Machine Learning Mastery
Published: 2018-01-24
Total Pages: 211
ISBN-13:
DOWNLOAD EBOOK →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: Charles G. Cullen
Publisher: Brooks/Cole
Published: 1991
Total Pages: 454
ISBN-13:
DOWNLOAD EBOOK →This second edition of the text has been reorganized to make it even more easy to use for students. Among the various improvements there is more geometric interpretation and more emphasis on differential equations.
Author: Albert L. Rabenstein
Publisher:
Published: 1997
Total Pages: 0
ISBN-13: 9780030249860
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