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Transseries in difference and differential equations by Geert Roelof Kuik

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Published by s.n.], University Library Groningen] [Host] in [S.l, [Groningen .
Written in English

Subjects:

  • Niet-lineaire analyse,
  • Differentiaalvergelijkingen,
  • Differentievergelijkingen

Book details:

Edition Notes

StatementGeert Roelof Kuik
The Physical Object
Format[elektronische middelen] /
PaginationOnline.
ID Numbers
Open LibraryOL27092769M
ISBN 109036717728
ISBN 109789036717724
OCLC/WorldCa66650235

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Transseries are a generalization of power series with real coefficients, in which one allows the recursive appearance of exponentials and logarithms. Denoting by 핋 the field of transseries, the intermediate value theorem states that for any differential polynomials P with coefficients in 핋 and f. The book integrates both classical and modern treatments of difference equations. It contains the most updated and comprehensive material, yet the presentation is simple enough for the book to be used by advanced undergraduate and beginning graduate students. This third edition includes more proofs, more graphs, and more : Springer-Verlag New York. This is a very good book to learn about difference equation. The explanation is good and it is cheap. The difference equation is a good technique to solve a number of problems by setting a recurrence relationship among your study quantities. Furthermore, it gives you plenty of examples in many disciplines: economics, statistics, Cited by:   Difference Equations, Second Edition, presents a practical introduction to this important field of solutions for engineering and the physical sciences. Topic coverage includes numerical analysis, numerical methods, differential equations, combinatorics and discrete modeling. A hallmark of this revision is the diverse application to many subfields of Edition: 2.

Differential Equations Books: This section contains free e-books and guides on Differential Equations, some of the resources in this section can be viewed online and some of them can be downloaded. Second Order Linear Equations, Difference Equations, Matrix Differential Equations, Weighted String, Quantum Harmonic Oscillator, Heat Equation. Equations of motion: second order equations 51 A waste disposal problem 52 Motion in a changing gravita-tional fleld 53 Equations coming from geometrical modelling 54 Satellite dishes 54 The pursuit curve 56 Modelling interacting quantities { sys-tems of difierential equations 59 Two compartment File Size: 1MB. Advances in Difference Equations will accept high-quality articles containing original research results and survey articles of exceptional merit. Open Thematic Series Submissions to thematic series on this journal are entitled to a 25% discount on the article processing charges unless otherwise stated. Ordinary Differential Equations with Applications Carmen Chicone Springer. To Jenny, for giving me the gift of time. Preface This book is based on a two-semester course in ordinary differential equa-tions that I have taught to graduate students for two decades at the Uni-Cited by:

Introduction. Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. The book begins with a section that examines the origin of differential equations, defines basic terms and outlines the general solution of a differential equation-the solution that actually contains every solution of such an equation. Subsequent sections deal with such subjects as: integrating factors; dilution and accretion problems; the algebra of complex numbers; the linearization of first order systems; Laplace Transforms /5(). Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard. Dover books has a reprint of the book for maybe dollars on Amazon, and considering it has answers to most of the problems found. Asymptotic Differential Algebra and Model Theory of Transseries. We develop here the algebra of the differential field of transseries and of related valued differential fields. This book contains in particular our recently obtained decisive positive results on the model theory of these structures. Ann. of Math.