An Elementary Treatise on Differential Equations and Their Applications
Author: Henry Thomas Herbert Piaggio
Publisher:
Published: 1921
Total Pages: 278
ISBN-13:
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An Elementary Treatise on Fourier's Series
Author: William Elwood Byerly
Publisher: Courier Corporation
Published: 2014-03-05
Total Pages: 308
ISBN-13: 0486159906
DOWNLOAD EBOOKOriginally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. The subsequent growth of science into a diverse range of specialties has enhanced the value of this classic, whose thorough, basic treatment presents material that is assumed in many other studies but seldom available in such concise form. The development of functions, series, and their differential equations receives detailed explanations, and throughout the text, theory is applied to practical problems, with the solutions fully worked out. In addition, 190 problems, many with hints, are included. 1893 edition. Appendix of 6 tables.
Elementary Differential Equations with Boundary Value Problems
Author: William F. Trench
Publisher: Thomson Brooks/Cole
Published: 2001
Total Pages: 764
ISBN-13:
DOWNLOAD EBOOKWritten in a clear and accurate language that students can understand, Trench's new book minimizes the number of explicitly stated theorems and definitions. Instead, he deals with concepts in a conversational style that engages students. He includes more than 250 illustrated, worked examples for easy reading and comprehension. One of the book's many strengths is its problems, which are of consistently high quality. Trench includes a thorough treatment of boundary-value problems and partial differential equations and has organized the book to allow instructors to select the level of technology desired. This has been simplified by using symbols, C and L, to designate the level of technology. C problems call for computations and/or graphics, while L problems are laboratory exercises that require extensive use of technology. Informal advice on the use of technology is included in several sections and instructors who prefer not to emphasize technology can ignore these exercises without interrupting the flow of material.
A Treatise on Differential Equations
Author: George Boole
Publisher:
Published: 1859
Total Pages: 532
ISBN-13:
DOWNLOAD EBOOKA Boole Anthology
Author: James Gasser
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 351
ISBN-13: 940159385X
DOWNLOAD EBOOKModern mathematical logic would not exist without the analytical tools first developed by George Boole in The Mathematical Analysis of Logic and The Laws of Thought. The influence of the Boolean school on the development of logic, always recognised but long underestimated, has recently become a major research topic. This collection is the first anthology of works on Boole. It contains two works published in 1865, the year of Boole's death, but never reprinted, as well as several classic studies of recent decades and ten original contributions appearing here for the first time. From the programme of the English Algebraic School to Boole's use of operator methods, from the problem of interpretability to that of psychologism, a full range of issues is covered. The Boole Anthology is indispensable to Boole studies and will remain so for years to come.
A Treatise on Differential Equations
Author: Andrew Russell Forsyth
Publisher: Courier Corporation
Published: 1996-01-01
Total Pages: 612
ISBN-13: 9780486693149
DOWNLOAD EBOOKSixth edition (1928) of the 19th-century classic covers differential equations of the 1st order, general linear equations with constant coefficients, integration in series, much more. Over 800 examples.
A Treatise on Differential Equations (Classic Reprint)
Author: George Boole
Publisher: Forgotten Books
Published: 2017-10-16
Total Pages: 516
ISBN-13: 9780266381228
DOWNLOAD EBOOKExcerpt from A Treatise on Differential Equations I have endeavoured, in the following treatise, to convey as complete an account of the present state of knowledge on the subject of Differential Equations, as was consistent with the idea of a work intended, primarily, for elementary instruo tion. It was my object, first of all, to meet the wants of those who had no previous acquaintance with the subject, but I also desired not quite to disappoint others who might seek for more advanced information. These distinct, but not inconsistent aims determined the plan of composition. The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connexion with the methods and processes of his previous course. An appen dix to the table of contents will shew what portions of the work are regarded as sufficient for the less complete, but still not unconnected study of the subject. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
A treatise of fluxions
Author: Colin MacLaurin
Publisher:
Published: 1742
Total Pages: 482
ISBN-13:
DOWNLOAD EBOOKElementary Differential Equations and Boundary Value Problems
Author: William E. Boyce
Publisher: John Wiley & Sons
Published: 2017-08-21
Total Pages: 623
ISBN-13: 1119443768
DOWNLOAD EBOOKElementary Differential Equations and Boundary Value Problems 11e, like its predecessors, is written from the viewpoint of the applied mathematician, whose interest in differential equations may sometimes be quite theoretical, sometimes intensely practical, and often somewhere in between. The authors have sought to combine a sound and accurate (but not abstract) exposition of the elementary theory of differential equations with considerable material on methods of solution, analysis, and approximation that have proved useful in a wide variety of applications. While the general structure of the book remains unchanged, some notable changes have been made to improve the clarity and readability of basic material about differential equations and their applications. In addition to expanded explanations, the 11th edition includes new problems, updated figures and examples to help motivate students. The program is primarily intended for undergraduate students of mathematics, science, or engineering, who typically take a course on differential equations during their first or second year of study. The main prerequisite for engaging with the program is a working knowledge of calculus, gained from a normal two or three semester course sequence or its equivalent. Some familiarity with matrices will also be helpful in the chapters on systems of differential equations.
Simultaneous Systems of Differential Equations and Multi-Dimensional Vibrations
Author: Luis Manuel Braga da Costa Campos
Publisher: CRC Press
Published: 2019-11-05
Total Pages: 326
ISBN-13: 0429641753
DOWNLOAD EBOOKSimultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set). The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients. The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics. Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equation Includes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficients Covers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonance Discusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water waves Includes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations
