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Calculus of Several Variables, Serge Lang


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Автор: Serge Lang
Название:  Calculus of Several Variables
ISBN: 9781461270010
Издательство: Springer
Классификация:
ISBN-10: 1461270014
Обложка/Формат: Paperback
Страницы: 619
Вес: 0.87 кг.
Дата издания: 17.10.2012
Серия: Undergraduate Texts in Mathematics
Язык: English
Размер: 233 x 161 x 34
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylors formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Greens theorem, that is Chapters VII, VIII, IX, and X, 1. This forms a coherent whole.


Several Complex Variables IV

Автор: J?rgen Leiterer; Semen G. Gindikin; Dmitrij N. Akh
Название: Several Complex Variables IV
ISBN: 3642647669 ISBN-13(EAN): 9783642647666
Издательство: Springer
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Цена: 14673.00 р.
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Описание: This volume of the EMS contains four survey articles on analytic spaces. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3764352825 ISBN-13(EAN): 9783764352820
Издательство: Springer
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Цена: 23751.00 р.
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Описание: This volume provides a detailed description of important geometric settings encountered in multi-variable complex analysis. There is a thorough exposition of the harmonic analysis background, and treatment of topics of current interest.

Lectures on Several Complex Variables

Автор: Paul M. Gauthier
Название: Lectures on Several Complex Variables
ISBN: 3319115103 ISBN-13(EAN): 9783319115108
Издательство: Springer
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Цена: 11179.00 р.
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Описание: ​​​This monograph provides a concise, accessible snapshot of key topics in several complex variables, including the Cauchy Integral Formula, sequences of holomorphic functions, plurisubharmonic functions, the Dirichlet problem, and meromorphic functions. Based on a course given at Universit de Montr al, this brief introduction covers areas of contemporary importance that are not mentioned in most treatments of the subject, such as modular forms, which are essential for Wiles' theorem and the unification of quantum theory and general relativity. Also covered is the Riemann manifold of a function, which generalizes the Riemann surface of a function of a single complex variable and is a topic that is well-known in one complex variable, but rarely treated in several variables. Many details, which are intentionally left out, as well as many theorems are stated as problems, providing students with carefully structured instructive exercises.

Prerequisites for use of this book are functions of one complex variable, functions of several real variables, and topology, all at the undergraduate level. Lectures on Several Complex Variables will be of interest to advanced undergraduate and beginning undergraduate students, as well as mathematical researchers and professors.

Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. (MN-38)

Автор: Fornaess John Erik
Название: Several Complex Variables: Proceedings of the Mittag-Leffler Institute, 1987-1988. (MN-38)
ISBN: 069160133X ISBN-13(EAN): 9780691601335
Издательство: Wiley
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Описание: There was a special year devoted to the topic of several complex variables at the Mittag-Leffler Institute in Stockholm, Sweden, and this volume contains the resulting survey papers and research papers. The work covers a broad spectrum of developments in this field. The contributors include H. Alexander; F. Almgren; E. Almar; M. Andersson; E. Bedfo

Toeplitz Operators and Index Theory in Several Complex Variables

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3034899602 ISBN-13(EAN): 9783034899604
Издательство: Springer
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Цена: 23751.00 р.
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Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.

Several Complex Variables VII

Автор: H. Grauert; F. Campana; Thomas Peternell; G. Dethl
Название: Several Complex Variables VII
ISBN: 3642081509 ISBN-13(EAN): 9783642081507
Издательство: Springer
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Цена: 23058.00 р.
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Описание: The first survey of its kind, written by internationally known, outstanding experts who developed substantial parts of the field. The book contains an introduction written by Remmert, describing the history of the subject, and is very useful to graduate students and researchers in complex analysis, algebraic geometry and differential geometry.

Differentiable and Complex Dynamics of Several Variables

Автор: Pei-Chu Hu; Chung-Chun Yang
Название: Differentiable and Complex Dynamics of Several Variables
ISBN: 079235771X ISBN-13(EAN): 9780792357711
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Presents a comprehensive survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics.

L? Approaches in Several Complex Variables

Автор: Takeo Ohsawa
Название: L? Approaches in Several Complex Variables
ISBN: 4431562966 ISBN-13(EAN): 9784431562962
Издательство: Springer
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Цена: 9781.00 р.
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Описание:

Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L Estimates.- Basics of Hilb

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

Analytic Function Theory of Several Variables

Автор: Noguchi
Название: Analytic Function Theory of Several Variables
ISBN: 9811002894 ISBN-13(EAN): 9789811002892
Издательство: Springer
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Описание: This defines a unique character of the book compared with other books on this subject, in which the notion of coherence appears much later.The present book, consisting of nine chapters, gives complete treatments of the following items: Coherence of sheaves of holomorphic functions (Chap.

Stability of Functional Equations in Several Variables

Автор: D.H. Hyers; G. Isac; Themistocles Rassias
Название: Stability of Functional Equations in Several Variables
ISBN: 146127284X ISBN-13(EAN): 9781461272847
Издательство: Springer
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Цена: 13974.00 р.
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Описание: In addition to the main topic of the stability of certain functional equa- tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points.

Functions of Several Variables

Автор: Wendell Fleming
Название: Functions of Several Variables
ISBN: 1468494635 ISBN-13(EAN): 9781468494631
Издательство: Springer
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Описание: This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds.

Regularity Properties of Functional Equations in Several Variables

Автор: Antal J?rai
Название: Regularity Properties of Functional Equations in Several Variables
ISBN: 1441937404 ISBN-13(EAN): 9781441937407
Издательство: Springer
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Описание: This book illustrates the basic ideas of regularity properties of functional equations by simple examples. It then treats most of the modern results about regularity of non-composite functional equations of several variables in a unified fashion.


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