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Author : John Orin Mayhugh
Publisher :
ISBN 13 :
Total Pages : 58 pages
Book Rating : 4.:/5 (49 download)
Download or read book Matrix functions defined by differential equations written by John Orin Mayhugh and published by . This book was released on 1936 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Bugl
Publisher :
ISBN 13 :
Total Pages : 696 pages
Book Rating : 4.:/5 (321 download)
Download or read book Differential Equations written by Paul Bugl and published by . This book was released on 1995 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhaojun Bai
Publisher : World Scientific
ISBN 13 : 9814675784
Total Pages : 146 pages
Book Rating : 4.8/5 (146 download)
Download or read book Matrix Functions And Matrix Equations written by Zhaojun Bai and published by World Scientific. This book was released on 2015-09-04 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed. This book covers materials relevant to advanced undergraduate and graduate courses in numerical linear algebra and scientific computing. It is also well-suited for self-study. The broad content makes it convenient as a general reference to the subjects.
Author : Peter D. Lax
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.3/5 (91 download)
Download or read book Differential Equations, Difference Equations and Matrix Theory written by Peter D. Lax and published by . This book was released on 1957 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alberto Cabada
Publisher : Springer Science & Business Media
ISBN 13 : 1461495067
Total Pages : 180 pages
Book Rating : 4.4/5 (614 download)
Download or read book Green’s Functions in the Theory of Ordinary Differential Equations written by Alberto Cabada and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.
Author : Richard Bronson
Publisher : Gulf Professional Publishing
ISBN 13 : 9780121352516
Total Pages : 522 pages
Book Rating : 4.3/5 (525 download)
Download or read book Matrix Methods written by Richard Bronson and published by Gulf Professional Publishing. This book was released on 1991-02-25 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Matrix Methods emphasizes applications to Jordan-canonical forms, differential equations, and least squares. The revision now includes an entire new chapter on inner products, additional material on elementary row applications, and hundreds of new exercises.
Author : Chin-Yuan Lin
Publisher : World Scientific
ISBN 13 : 9814307122
Total Pages : 555 pages
Book Rating : 4.8/5 (143 download)
Download or read book Theory and Examples of Ordinary Differential Equations written by Chin-Yuan Lin and published by World Scientific. This book was released on 2011 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a complete theory of ordinary differential equations, with many illustrative examples and interesting exercises. A rigorous treatment is offered in this book with clear proofs for the theoretical results and with detailed solutions for the examples and problems. This book is intended for undergraduate students who major in mathematics and have acquired a prerequisite knowledge of calculus and partly the knowledge of a complex variable, and are now reading advanced calculus and linear algebra. Additionally, the comprehensive coverage of the theory with a wide array of examples and detailed solutions, would appeal to mathematics graduate students and researchers as well as graduate students in majors of other disciplines. As a handy reference, advanced knowledge is provided in this book with details developed beyond the basics; optional sections, where main results are extended, offer an understanding of further applications of ordinary differential equations.
Author : W.-H. Steeb
Publisher : World Scientific
ISBN 13 : 9812569162
Total Pages : 254 pages
Book Rating : 4.8/5 (125 download)
Download or read book Problems and Solutions in Introductory and Advanced Matrix Calculus written by W.-H. Steeb and published by World Scientific. This book was released on 2006 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.
Author : Walter G. Kelley
Publisher : Springer Science & Business Media
ISBN 13 : 1441957820
Total Pages : 432 pages
Book Rating : 4.4/5 (419 download)
Download or read book The Theory of Differential Equations written by Walter G. Kelley and published by Springer Science & Business Media. This book was released on 2010-04-22 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: For over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as perturbation methods and differential equations and Mathematica. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0. It also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many more other enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.
Author : Albert L. Rabenstein
Publisher : Academic Press
ISBN 13 : 1483262375
Total Pages : 529 pages
Book Rating : 4.4/5 (832 download)
Download or read book Elementary Differential Equations with Linear Algebra written by Albert L. Rabenstein and published by Academic Press. This book was released on 2014-05-10 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : A. K. Nandakumaran
Publisher : Cambridge University Press
ISBN 13 : 110834416X
Total Pages : 352 pages
Book Rating : 4.1/5 (83 download)
Download or read book Ordinary Differential Equations written by A. K. Nandakumaran and published by Cambridge University Press. This book was released on 2017-05-11 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a clear, logical and concise manner, this comprehensive resource allows students to quickly understand the key principles, techniques and applications of ordinary differential equations. Important topics including first and second order linear equations, initial value problems and qualitative theory are presented in separate chapters. The concepts of two point boundary value problems, physical models and first order partial differential equations are discussed in detail. The text uses tools of calculus and real analysis to get solutions in explicit form. While discussing first order linear systems, linear algebra techniques are used. The real-life applications are interspersed throughout the book to invoke reader's interest. The methods and tricks to solve numerous mathematical problems with sufficient derivations and explanation are provided. The proofs of theorems are explained for the benefit of the readers.
Author : Erugin
Publisher : Academic Press
ISBN 13 : 0080955355
Total Pages : 295 pages
Book Rating : 4.0/5 (89 download)
Download or read book Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients written by Erugin and published by Academic Press. This book was released on 1966-01-01 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Systems of Ordinary Differential Equations, with Periodic and Quasi-Periodic Coefficients
Author : John W. Dettman
Publisher : Courier Corporation
ISBN 13 : 0486158314
Total Pages : 442 pages
Book Rating : 4.4/5 (861 download)
Download or read book Introduction to Linear Algebra and Differential Equations written by John W. Dettman and published by Courier Corporation. This book was released on 2012-10-05 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Edward Barry Saff
Publisher : John Wiley & Sons
ISBN 13 : 1118953657
Total Pages : 407 pages
Book Rating : 4.1/5 (189 download)
Download or read book Fundamentals of Matrix Analysis with Applications written by Edward Barry Saff and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.
Author : Ioan I Vrabie
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106328
Total Pages : 420 pages
Book Rating : 4.8/5 (131 download)
Download or read book Differential Equations: An Introduction To Basic Concepts, Results And Applications written by Ioan I Vrabie and published by World Scientific Publishing Company. This book was released on 2004-04-27 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems.
Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110666995
Total Pages : 301 pages
Book Rating : 4.1/5 (16 download)
Download or read book Linear Algebra and Matrix Computations with MATLAB® written by Dingyü Xue and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-23 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses the solutions of linear algebra and matrix analysis problems, with the exclusive use of MATLAB. The topics include representations, fundamental analysis, transformations of matrices, matrix equation solutions as well as matrix functions. Attempts on matrix and linear algebra applications are also explored.
Author : Praveen Agarwal
Publisher : CRC Press
ISBN 13 : 1000078566
Total Pages : 371 pages
Book Rating : 4.0/5 ( download)
Download or read book Special Functions and Analysis of Differential Equations written by Praveen Agarwal and published by CRC Press. This book was released on 2020-09-08 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.
