Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy (Classic Reprint)

Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy (Classic Reprint) PDF Author: John Charles Fields
Publisher: Forgotten Books
ISBN: 9781334018398
Category : Mathematics
Languages : en
Pages : 48

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Book Description
Excerpt from Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy Substituting this series in (l) and equating coefficients of the same power of. L' on opposite sides of the equation, we get. 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.

Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy (Classic Reprint)

Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy (Classic Reprint) PDF Author: John Charles Fields
Publisher: Forgotten Books
ISBN: 9781334018398
Category : Mathematics
Languages : en
Pages : 48

Get Book Here

Book Description
Excerpt from Symbolic Finite Solutions and Solutions by Definite Integrals of the Equation Dny/Dxn = Xmy Substituting this series in (l) and equating coefficients of the same power of. L' on opposite sides of the equation, we get. 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.

Advanced Mathematical Methods for Scientists and Engineers I

Advanced Mathematical Methods for Scientists and Engineers I PDF Author: Carl M. Bender
Publisher: Springer Science & Business Media
ISBN: 1475730691
Category : Mathematics
Languages : en
Pages : 605

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Book Description
A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

A Course in Pure Mathematics

A Course in Pure Mathematics PDF Author: Margaret Gow
Publisher: Elsevier
ISBN: 9780340052174
Category : Mathematics
Languages : en
Pages : 636

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Book Description
For students reading Mathematics, either as part of a general degree or as an ancilliary course for an Honours degree, the subject should be presented in as straightforward a manners as is consistent with a moderate standard of rigour. This course in algebra, co-ordinate geometry and calculus is designed to fulfil these requirements for students at Universities, Polytechnics and Colleges of Technology. The book contains 350 worked examples and 1550 practice examples selected mainly from university examination papers. The practice examples have been carefully graded and some hints are given with the answers so that the book may be used for private study as well as for class work.

Precalculus with Calculus Previews

Precalculus with Calculus Previews PDF Author: Dennis Zill
Publisher: Jones & Bartlett Learning
ISBN: 0763766313
Category : Mathematics
Languages : en
Pages : 529

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Book Description
Building off the success of Zill and Dewar's popular Precalculus with Calculus Previews, Fourth Edition, the new Expanded Volume includes all the outstanding features and learning tools found in the original text while incorporating additional coverage that some courses may require. With a continued aim to keep the text complete, yet concise, the authors added three additional chapters making the text a clear choice for many mainstream courses. New chapters include: Triangle Trigonometry, Systems of Equations and Inequalities, and Sequences and Series. This student-friendly, four-color text offers numerous exercise sets and examples to aid in students' learning and understanding, and graphs and figures throughout serve to better illuminate key concepts. The exercise sets include engaging problems that focus on algebra, graphing, and function theory, the sub-text of so many calculus problems. The authors are careful to use the terminology of calculus in an informal and comprehensible way to facilitate the student's successful transition into future calculus courses.

Predictability, Stability, and Chaos in N-Body Dynamical Systems

Predictability, Stability, and Chaos in N-Body Dynamical Systems PDF Author: Archie E. Roy
Publisher: Springer Science & Business Media
ISBN: 146845997X
Category : Science
Languages : en
Pages : 581

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Book Description
The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.

Solution of the Phase Problem. I. The Centrosystemmetric Crystal

Solution of the Phase Problem. I. The Centrosystemmetric Crystal PDF Author: Herbert Aaron Hauptman
Publisher:
ISBN:
Category : Crystallography, Mathematical
Languages : en
Pages : 428

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Book Description


The Dynamics of Biological Systems

The Dynamics of Biological Systems PDF Author: Arianna Bianchi
Publisher: Springer Nature
ISBN: 3030225836
Category : Mathematics
Languages : en
Pages : 267

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Book Description
The book presents nine mini-courses from a summer school, Dynamics of Biological Systems, held at the University of Alberta in 2016, as part of the prestigious seminar series: Séminaire de Mathématiques Supérieures (SMS). It includes new and significant contributions in the field of Dynamical Systems and their applications in Biology, Ecology, and Medicine. The chapters of this book cover a wide range of mathematical methods and biological applications. They - explain the process of mathematical modelling of biological systems with many examples, - introduce advanced methods from dynamical systems theory, - present many examples of the use of mathematical modelling to gain biological insight - discuss innovative methods for the analysis of biological processes, - contain extensive lists of references, which allow interested readers to continue the research on their own. Integrating the theory of dynamical systems with biological modelling, the book will appeal to researchers and graduate students in Applied Mathematics and Life Sciences.

Techniques and Concepts of High-Energy Physics VI

Techniques and Concepts of High-Energy Physics VI PDF Author: Thomas Ferbel
Publisher: Springer Science & Business Media
ISBN: 1468460064
Category : Science
Languages : en
Pages : 440

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Book Description
The sixth Advanced Study Institute (ASI) on Techniques and Concepts of High Energy Physics was held at the Club St. Croix, in St. Croix, U.S. Virgin Islands. The ASI brought together a total of 70 participants, from 21 different countries. Despite logistical problems caused by hurricane Hugo, it was a very successful meeting. Hugo's destruction did little to dampen the dedication of the inspiring lecturers and the exceptional enthusiasm of the student body; nevertheless, the immense damage caused to the beautiful island was very saddening indeed. The primary support for the meeting was again provided by the Scientific Affairs Division of NATO. The ASI was cosponsored by the U.S. Department of Energy, by Fermilab, by the National Science Foundation, and by the University of Rochester. A special contribution from the Oliver S. and Jennie R. Donaldson Charitable Trust provided an important degree of flexibility, as well as support for worthy students from developing countries. As in the case of the previous ASls, the scientific program was designed for advanced graduate students and recent PhD recipients in experimental particle physics. The present volume of lectures should complement the material published in the first five ASls, and prove to be of value to a wider audience of physicists.

Fortran Methods in Heat Flow

Fortran Methods in Heat Flow PDF Author: Hilbert Schenck (Jr.)
Publisher:
ISBN:
Category : FORTRAN (Computer program language)
Languages : en
Pages : 312

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Book Description


The Global Geometry of Turbulence

The Global Geometry of Turbulence PDF Author: Javier Jiménez
Publisher: Springer Science & Business Media
ISBN: 1461537509
Category : Science
Languages : en
Pages : 359

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Book Description
The aim of this Advanced Research Workshop was to bring together Physicists, Applied Mathematicians and Fluid Dynamicists, including very specially experimentalists, to review the available knowledge on the global structural aspects of turbulent flows, with an especial emphasis on open systems, and to try to reach a consensus on their possible relationship to recent advances in the understanding of the behaviour of low dimensional dynamical systems and amplitude equations. A lot has been learned during recent years on the non-equilibrium behaviour of low dimen sional dynamical systems, including some fluid flows (Rayleigh-Benard, Taylor-Couette, etc. ). These are mostly closed flows and many of the global structural features of the low dimensional systems have been observed in them, including chaotic behaviour, period doubling, intermit tency, etc. . It has also been shown that some of these flows are intrinsically low dimensional, which accounts for much of the observed similarities. Open flows seem to be different, and experimental observations point to an intrinsic high dimensionality. However, some of the tran sitional features of the low dimensional systems have been observed in them, specially in the intermittent behaviour of subcritical flows (pipes, channels, boundary layers with suction, etc. ), and in the large scale geometry of coherent structures of free shear flows (mixing layers, jets and wakes).