Analytic Series
Author | : |
Publisher | : |
Total Pages | : 512 |
Release | : 1997 |
Genre | : Mental health |
ISBN | : |
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Author | : |
Publisher | : |
Total Pages | : 512 |
Release | : 1997 |
Genre | : Mental health |
ISBN | : |
Author | : Werner Balser |
Publisher | : Springer |
Total Pages | : 117 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540485945 |
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.
Author | : Henri Cartan |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486318672 |
Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.
Author | : Johannes Grössl |
Publisher | : Routledge |
Total Pages | : 316 |
Release | : 2021-04-13 |
Genre | : Religion |
ISBN | : 1000376656 |
In Christian theology, the teaching that Christ possessed both a human and divine will is central to the doctrine of two natures, but it also represents a logical paradox, raising questions about how a person can be both impeccable and subject to temptation. This volume explores these questions through an analytic theology approach, bringing together 15 original papers that explore the implications of a strong libertarian concept of free will for Christology. With perspectives from systematic theologians, philosophers, and biblical scholars, several chapters also offer a comparative theology approach, examining the concept of impeccability in the Muslim tradition. Therefore, this volume will be of interest to scholars and graduate students working in analytic theology, biblical scholarship, systematic theology, and Christian-Islamic dialogue.
Author | : KRANTZ |
Publisher | : Birkhäuser |
Total Pages | : 190 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 3034876440 |
The subject of real analytic functions is one of the oldest in mathe matical analysis. Today it is encountered early in ones mathematical training: the first taste usually comes in calculus. While most work ing mathematicians use real analytic functions from time to time in their work, the vast lore of real analytic functions remains obscure and buried in the literature. It is remarkable that the most accessible treatment of Puiseux's theorem is in Lefschetz's quite old Algebraic Geometry, that the clearest discussion of resolution of singularities for real analytic manifolds is in a book review by Michael Atiyah, that there is no comprehensive discussion in print of the embedding prob lem for real analytic manifolds. We have had occasion in our collaborative research to become ac quainted with both the history and the scope of the theory of real analytic functions. It seems both appropriate and timely for us to gather together this information in a single volume. The material presented here is of three kinds. The elementary topics, covered in Chapter 1, are presented in great detail. Even results like a real ana lytic inverse function theorem are difficult to find in the literature, and we take pains here to present such topics carefully. Topics of middling difficulty, such as separate real analyticity, Puiseux series, the FBI transform, and related ideas (Chapters 2-4), are covered thoroughly but rather more briskly.
Author | : Richard Bellman |
Publisher | : Benjamin-Cummings Publishing Company |
Total Pages | : 226 |
Release | : 1980 |
Genre | : Mathematics |
ISBN | : |
Author | : Robin Pemantle |
Publisher | : Cambridge University Press |
Total Pages | : 395 |
Release | : 2013-05-31 |
Genre | : Mathematics |
ISBN | : 1107031575 |
Aimed at graduate students and researchers in enumerative combinatorics, this book is the first to treat the analytic aspects of combinatorial enumeration from a multivariate perspective.
Author | : Rolf Nevanlinna |
Publisher | : Springer |
Total Pages | : 383 |
Release | : 2013-12-20 |
Genre | : Mathematics |
ISBN | : 3642855903 |
The present monograph on analytic functions coincides to a lar[extent with the presentation of the modern theory of single-value analytic functions given in my earlier works "Le theoreme de Picarc Borel et la theorie des fonctions meromorphes" (Paris: Gauthier-Villar 1929) and "Eindeutige analytische Funktionen" (Die Grundlehren dt mathematischen Wissenschaften in Einzeldarstellungen, VoL 46, 1: edition Berlin: Springer 1936, 2nd edition Berlin-Gottingen-Heidelberg Springer 1953). In these presentations I have strived to make the individual result and their proofs readily understandable and to treat them in the ligh of certain guiding principles in a unified way. A decisive step in thi direction within the theory of entire and meromorphic functions consiste- in replacing the classical representation of these functions through ca nonical products with more general tools from the potential theor (Green's formula and especially the Poisson-Jensen formula). On thi foundation it was possible to introduce the quantities (the characteristic the proximity and the counting functions) which are definitive for th
Author | : Robert C. Gunning |
Publisher | : American Mathematical Society |
Total Pages | : 334 |
Release | : 2022-08-25 |
Genre | : Mathematics |
ISBN | : 1470470667 |
The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. After initial successes by Poincaré and others in the late 19th and early 20th centuries, the theory encountered obstacles that prevented it from growing quickly into an analogue of the theory for functions of one complex variable. Beginning in the 1930s, initially through the work of Oka, then H. Cartan, and continuing with the work of Grauert, Remmert, and others, new tools were introduced into the theory of several complex variables that resolved many of the open problems and fundamentally changed the landscape of the subject. These tools included a central role for sheaf theory and increased uses of topology and algebra. The book by Gunning and Rossi was the first of the modern era of the theory of several complex variables, which is distinguished by the use of these methods. The intention of Gunning and Rossi's book is to provide an extensive introduction to the Oka-Cartan theory and some of its applications, and to the general theory of analytic spaces. Fundamental concepts and techniques are discussed as early as possible. The first chapter covers material suitable for a one-semester graduate course, presenting many of the central problems and techniques, often in special cases. The later chapters give more detailed expositions of sheaf theory for analytic functions and the theory of complex analytic spaces. Since its original publication, this book has become a classic resource for the modern approach to functions of several complex variables and the theory of analytic spaces. Further information about this book, including updates, can be found at the following URL: www.ams.org/publications/authors/books/postpub/chel-368.
Author | : United States. War Relocation Authority |
Publisher | : |
Total Pages | : 504 |
Release | : |
Genre | : Concentration camps |
ISBN | : |