Download or read book Principles of Differential and Integral Equations written by C. Corduneanu and published by American Mathematical Soc.. This book was released on 1977-01-30 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: In summary, the author has provided an elegant introduction to important topics in the theory of ordinary differential equations and integral equations. -- Mathematical Reviews This book is intended for a one-semester course in differential and integral equations for advanced undergraduates or beginning graduate students, with a view toward preparing the reader for graduate-level courses on more advanced topics. There is some emphasis on existence, uniqueness, and the qualitative behavior of solutions. Students from applied mathematics, physics, and engineering will find much of value in this book. The first five chapters cover ordinary differential equations. Chapter 5 contains a good treatment of the stability of ODEs. The next four chapters cover integral equations, including applications to second-order differential equations. Chapter 7 is a concise introduction to the important Fredholm theory of linear integral equations. The final chapter is a well-selected collection of fascinating miscellaneous facts about differential and integral equations. The prerequisites are a good course in advanced calculus, some preparation in linear algebra, and a reasonable acquaintance with elementary complex analysis. There are exercises throughout the text, with the more advanced of them providing good challenges to the student.
Download or read book International Catalogue of Scientific Literature 1901 14 written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Catalogue of Scientific Literature written by and published by . This book was released on 1907 with total page 2040 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Catalogue of Scientific Literature 1901 1914 written by and published by . This book was released on 1913 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Stratifications Singularities and Differential Equations written by David Trotman and published by Editions Hermann. This book was released on 1997 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Convergence written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lacroix and the Calculus written by João Caramalho Domingues and published by Springer Science & Business Media. This book was released on 2008-06-17 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Silvestre François Lacroix was not a prominent mathematical researcher, but he was certainly a most influential mathematical book author. His most famous work is the three-volume Traité du calcul différentiel et du calcul intégral, which is an encyclopedic appraisal of 18th-century calculus that remained the standard reference on the subject through much of the 19th century. This book provides the first global and detailed study of Lacroix's Traité Traité du calcul.
Download or read book Computer Algebra and Differential Equations written by E. Tournier and published by . This book was released on 1989 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary differential equations have been studied by mathematicians for many years and the standard techniques have been either by series expansions or by numerical methods. Computer algebra has introduced an alternative means of treating differential equations and solving them more readily.**This volume assembles contributions from leading mathematicians in this growing field of computer algebra.
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-11-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Download or read book Revue Semestrielle Des Publications Math matiques written by and published by . This book was released on 1914 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Taylor Approximations for Stochastic Partial Differential Equations written by Arnulf Jentzen and published by SIAM. This book was released on 2011-01-01 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic theory of Taylor expansions of evolutionary-type stochastic partial differential equations (SPDEs). The authors show how Taylor expansions can be used to derive higher order numerical methods for SPDEs, with a focus on pathwise and strong convergence. In the case of multiplicative noise, the driving noise process is assumed to be a cylindrical Wiener process, while in the case of additive noise the SPDE is assumed to be driven by an arbitrary stochastic process with Hl̲der continuous sample paths. Recent developments on numerical methods for random and stochastic ordinary differential equations are also included since these are relevant for solving spatially discretised SPDEs as well as of interest in their own right. The authors include the proof of an existence and uniqueness theorem under general assumptions on the coefficients as well as regularity estimates in an appendix.
Download or read book Linear Differential Equations and Group Theory from Riemann to Poincare written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2010-01-07 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related linear differential equations, group theory, and on-Euclidean geometry. The text for this second edition has been greatly expanded and revised, and the existing appendices enriched. The exercises have been retained, making it possible to use the book as a companion to mathematics courses at the graduate level.
Download or read book Stability Problems of Solutions of Differential Equations written by Aldo Ghizzetti and published by . This book was released on 1966 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Polish Scientific Periodicals written by and published by . This book was released on 1965 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Le Traitement Numerique Des Equations Differentielles Ordinaires Des Equations Integrales Et Integro differentielles written by and published by . This book was released on 1960 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Catalogue of Scientific Literature 1901 1914 written by and published by . This book was released on 1968 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Rendiconti written by and published by . This book was released on 1975 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
