Two Odes
Author : TWO ODES
Publisher :
Page : 26 pages
File Size : 13,67 MB
Release : 1762
Category :
ISBN :
Author : TWO ODES
Publisher :
Page : 26 pages
File Size : 13,67 MB
Release : 1762
Category :
ISBN :
Author : Horace
Publisher : Cambridge University Press
Page : 279 pages
File Size : 11,45 MB
Release : 2017-04-20
Category : History
ISBN : 1107012910
The first substantial commentary for a generation on this book of Horace's Odes, a great masterpiece of classical Latin literature.
Author : Horace
Publisher :
Page : 90 pages
File Size : 48,24 MB
Release : 1874
Category : Latin poetry
ISBN :
Author : Paul Waltman
Publisher : Elsevier
Page : 272 pages
File Size : 43,47 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483276600
A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.
Author : Quintus Horatius Flaccus
Publisher :
Page : 168 pages
File Size : 12,13 MB
Release : 1863
Category :
ISBN :
Author : Morris Tenenbaum
Publisher : Courier Corporation
Page : 852 pages
File Size : 23,93 MB
Release : 1985-10-01
Category : Mathematics
ISBN : 0486649407
Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.
Author : Jiri Lebl
Publisher :
Page : 468 pages
File Size : 29,84 MB
Release : 2019-11-13
Category :
ISBN : 9781706230236
Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.
Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 660 pages
File Size : 15,58 MB
Release : 2024-08-26
Category : Mathematics
ISBN : 1040092934
This reference book describes the exact solutions of the following types of mathematical equations: ● Algebraic and Transcendental Equations ● Ordinary Differential Equations ● Systems of Ordinary Differential Equations ● First-Order Partial Differential Equations ● Linear Equations and Problems of Mathematical Physics ● Nonlinear Equations of Mathematical Physics ● Systems of Partial Differential Equations ● Integral Equations ● Difference and Functional Equations ● Ordinary Functional Differential Equations ● Partial Functional Differential Equations The book delves into equations that find practical applications in a wide array of natural and engineering sciences, including the theory of heat and mass transfer, wave theory, hydrodynamics, gas dynamics, combustion theory, elasticity theory, general mechanics, theoretical physics, nonlinear optics, biology, chemical engineering sciences, ecology, and more. Most of these equations are of a reasonably general form and dependent on free parameters or arbitrary functions. The Handbook of Exact Solutions to Mathematical Equations generally has no analogs in world literature and contains a vast amount of new material. The exact solutions given in the book, being rigorous mathematical standards, can be used as test problems to assess the accuracy and verify the adequacy of various numerical and approximate analytical methods for solving mathematical equations, as well as to check and compare the effectiveness of exact analytical methods.
Author : Joe D. Hoffman
Publisher : CRC Press
Page : 842 pages
File Size : 29,41 MB
Release : 2001-05-31
Category : Mathematics
ISBN : 9780824704438
Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."
Author : Shepley L. Ross
Publisher : John Wiley & Sons
Page : 736 pages
File Size : 23,30 MB
Release : 1974
Category : Mathematics
ISBN :
Fundamental methods and applications; Fundamental theory and further methods;