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The Basic Theory Of Power Series
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Book Synopsis The Basic Theory of Power Series by : Jesús M. Ruiz
Download or read book The Basic Theory of Power Series written by Jesús M. Ruiz and published by Vieweg+Teubner Verlag. This book was released on 1993-01-01 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: Power series techniques are indispensable in many branches of mathematics, in particular in complex and in real analytic geometry, in commutative algebra, in algebraic geometry, in real algebraic geometry. The book covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any of these branches. In particular it presents Rückert's complex nullstellensatz, Risler's real nullstellensatz, Tougerons' implicit function theorem, and Artin's approximation theorem, to name a few. Up to now a student of any of the subjects mentioned above usually had to learn about power series within the framework of the vast theory of the subject. The present book opens another path: One gets acquaintance with power series in a direct and elementary way, and then disposes of a good box of tools and examples to penetrate any of the subjects mentioned above, and also some others.
Book Synopsis The Basic Theory of Power Series by : Jesus M. Ruiz
Download or read book The Basic Theory of Power Series written by Jesus M. Ruiz and published by . This book was released on 2009 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Basic Theory of Power Series by : Jesús M. Ruiz
Download or read book The Basic Theory of Power Series written by Jesús M. Ruiz and published by Vieweg+Teubner Verlag. This book was released on 1993-03-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Power series techniques are indispensable in many branches of mathematics, in particular in complex and in real analytic geometry, in commutative algebra, in algebraic geometry, in real algebraic geometry. The book covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any of these branches. In particular it presents Rückert's complex nullstellensatz, Risler's real nullstellensatz, Tougerons' implicit function theorem, and Artin's approximation theorem, to name a few. Up to now a student of any of the subjects mentioned above usually had to learn about power series within the framework of the vast theory of the subject. The present book opens another path: One gets acquaintance with power series in a direct and elementary way, and then disposes of a good box of tools and examples to penetrate any of the subjects mentioned above, and also some others.
Book Synopsis Basic Theory of Ordinary Differential Equations by : Po-Fang Hsieh
Download or read book Basic Theory of Ordinary Differential Equations written by Po-Fang Hsieh and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.
Book Synopsis From Divergent Power Series to Analytic Functions by : Werner Balser
Download or read book From Divergent Power Series to Analytic Functions written by Werner Balser and published by Springer. This book was released on 2006-11-15 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multisummability is a method which, for certain formal power series with radius of convergence equal to zero, produces an analytic function having the formal series as its asymptotic expansion. This book presents the theory of multisummabi- lity, and as an application, contains a proof of the fact that all formal power series solutions of non-linear meromorphic ODE are multisummable. It will be of use to graduate students and researchers in mathematics and theoretical physics, and especially to those who encounter formal power series to (physical) equations with rapidly, but regularly, growing coefficients.
Book Synopsis Automata-Theoretic Aspects of Formal Power Series by : Arto Salomaa
Download or read book Automata-Theoretic Aspects of Formal Power Series written by Arto Salomaa and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops a theory of formal power series in noncommuting variables, the main emphasis being on results applicable to automata and formal language theory. This theory was initiated around 196O-apart from some scattered work done earlier in connection with free groups-by M. P. Schutzenberger to whom also belong some of the main results. So far there is no book in existence concerning this theory. This lack has had the unfortunate effect that formal power series have not been known and used by theoretical computer scientists to the extent they in our estimation should have been. As with most mathematical formalisms, the formalism of power series is capable of unifying and generalizing known results. However, it is also capable of establishing specific results which are difficult if not impossible to establish by other means. This is a point we hope to be able to make in this book. That formal power series constitute a powerful tool in automata and language theory depends on the fact that they in a sense lead to the arithmetization of automata and language theory. We invite the reader to prove, for instance, Theorem IV. 5. 3 or Corollaries III. 7. 8 and III. 7.- all specific results in language theory-by some other means. Although this book is mostly self-contained, the reader is assumed to have some background in algebra and analysis, as well as in automata and formal language theory.
Book Synopsis Theory of Infinite Sequences and Series by : Ludmila Bourchtein
Download or read book Theory of Infinite Sequences and Series written by Ludmila Bourchtein and published by Springer Nature. This book was released on 2021-11-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary properties of sequences of numbers, and ending with advanced results of uniform convergence and power series. The text is aimed at university students specializing in mathematics and natural sciences, and at all the readers interested in infinite sequences and series. It is designed for the reader who has a good working knowledge of calculus. No additional prior knowledge is required. The text is divided into five chapters, which can be grouped into two parts: the first two chapters are concerned with the sequences and series of numbers, while the remaining three chapters are devoted to the sequences and series of functions, including the power series. Within each major topic, the exposition is inductive and starts with rather simple definitions and/or examples, becoming more compressed and sophisticated as the course progresses. Each key notion and result is illustrated with examples explained in detail. Some more complicated topics and results are marked as complements and can be omitted on a first reading. The text includes a large number of problems and exercises, making it suitable for both classroom use and self-study. Many standard exercises are included in each section to develop basic techniques and test the understanding of key concepts. Other problems are more theoretically oriented and illustrate more intricate points of the theory, or provide counterexamples to false propositions which seem to be natural at first glance. Solutions to additional problems proposed at the end of each chapter are provided as an electronic supplement to this book.
Book Synopsis Transcendence in Algebra, Combinatorics, Geometry and Number Theory by : Alin Bostan
Download or read book Transcendence in Algebra, Combinatorics, Geometry and Number Theory written by Alin Bostan and published by Springer Nature. This book was released on 2021-11-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers together original articles and survey works that originate from presentations given at the conference Transient Transcendence in Transylvania, held in Brașov, Romania, from May 13th to 17th, 2019. The conference gathered international experts from various fields of mathematics and computer science, with diverse interests and viewpoints on transcendence. The covered topics are related to algebraic and transcendental aspects of special functions and special numbers arising in algebra, combinatorics, geometry and number theory. Besides contributions on key topics from invited speakers, this volume also brings selected papers from attendees.
Book Synopsis Spline Functions: Basic Theory by : Larry Schumaker
Download or read book Spline Functions: Basic Theory written by Larry Schumaker and published by Cambridge University Press. This book was released on 2007-08-16 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work continues to offer a comprehensive treatment of the theory of univariate and tensor-product splines. It will be of interest to researchers and students working in applied analysis, numerical analysis, computer science, and engineering. The material covered provides the reader with the necessary tools for understanding the many applications of splines in such diverse areas as approximation theory, computer-aided geometric design, curve and surface design and fitting, image processing, numerical solution of differential equations, and increasingly in business and the biosciences. This new edition includes a supplement outlining some of the major advances in the theory since 1981, and some 250 new references. It can be used as the main or supplementary text for courses in splines, approximation theory or numerical analysis.
Author :Koenraad van Schuylenbergh Publisher :Springer Science & Business Media ISBN 13 :9048124123 Total Pages :223 pages Book Rating :4.0/5 (481 download)
Book Synopsis Inductive Powering by : Koenraad van Schuylenbergh
Download or read book Inductive Powering written by Koenraad van Schuylenbergh and published by Springer Science & Business Media. This book was released on 2009-05-31 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inductive powering has been a reliable and simple method for many years to wirelessly power devices over relatively short distances, from a few centimetres to a few feet. Examples are found in biomedical applications, such as cochlear implants; in RFID, such as smart cards for building access control; and in consumer devices, such as electrical toothbrushes. Device sizes shrunk considerably the past decades, demanding accurate design tools to obtain reliable link operation in demanding environments. With smaller coil sizes, the link efficiency drops dramatically to a point where the commonly used calculation methods become invalid. Inductive Powering: Basic Theory and Application to Biomedical Systems lists all design equations and topology alternatives to successfully build an inductive power and data link for your specific application. It also contains practical guidelines to expand the external driver with a servomechanism that automatically tunes itself to varying coupling and load conditions.
Book Synopsis Basic Category Theory by : Tom Leinster
Download or read book Basic Category Theory written by Tom Leinster and published by Cambridge University Press. This book was released on 2014-07-24 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: A short introduction ideal for students learning category theory for the first time.
Book Synopsis Mathematical Analysis by : Mariano Giaquinta
Download or read book Mathematical Analysis written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2012-08-31 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.
Book Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini
Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini and published by CRC Press. This book was released on 2020-02-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Book Synopsis Tauberian Theory by : Jacob Korevaar
Download or read book Tauberian Theory written by Jacob Korevaar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic and remainder estimates. The author shows the development of the theory from the beginning and his expert commentary evokes the excitement surrounding the early results. He shows the fascination of the difficult Hardy-Littlewood theorems and of an unexpected simple proof, and extolls Wiener's breakthrough based on Fourier theory. There are the spectacular "high-indices" theorems and Karamata's "regular variation", which permeates probability theory. The author presents Gelfand's elegant algebraic treatment of Wiener theory and his own distributional approach. There is also a new unified theory for Borel and "circle" methods. The text describes many Tauberian ways to the prime number theorem. A large bibliography and a substantial index round out the book.
Book Synopsis Formal Power Series and Algebraic Combinatorics by : Daniel Krob
Download or read book Formal Power Series and Algebraic Combinatorics written by Daniel Krob and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 815 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
Book Synopsis Möbius Functions, Incidence Algebras and Power Series Representations by : Arne Dür
Download or read book Möbius Functions, Incidence Algebras and Power Series Representations written by Arne Dür and published by Springer. This book was released on 2006-11-14 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Formal Models and Semantics by : Bozzano G Luisa
Download or read book Formal Models and Semantics written by Bozzano G Luisa and published by Elsevier. This book was released on 2014-06-28 with total page 1288 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second part of this Handbook presents a choice of material on the theory of automata and rewriting systems, the foundations of modern programming languages, logics for program specification and verification, and some chapters on the theoretic modelling of advanced information processing.
