Foundations of Complex Analysis in Non Locally Convex Spaces: Function Theory without Convexity Condition (Volume 193) (North-Holland Mathematics Studies, Volume 193) - Image 1

£129.32

Elsevier Foundations of Complex Analysis in Non Locally Convex Spaces: Function Theory without Convexity Condition (Volume 193) (North-Holland Mathematics Studies, Volume 193)

Name: Foundations of Complex Analysis in Non Locally Convex Spaces: Function Theory without Convexity Condition (Volume 193) (North-Holland Mathematics Studies, Volume 193)
Brand: Elsevier
Price: 124.0 GBP
Availability: InStock

Applied Mathematics

Price History & Forecast

Last 86 days • 86 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 86 days • 4 price levels

Days at Price

Current Price

Price Analysis

Most common price: £124 (74 days, 86.0%)

Price range: £124 - £132

Price levels: 4 different prices over 86 days

Description

All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without convexity condition is covered for the first time in this book. This shows that we are really working with a new, important and interesting field. Theory of functions and nonlinear analysis problems are widespread in the mathematical modeling of real world systems in a very broad range of applications. During the past three decades many new results from the author have helped to solve multiextreme problems arising from important situations, non-convex and non linear cases, in function theory. Foundations of Complex Analysis in Non Locally Convex Spaces is a comprehensive book that covers the fundamental theorems in Complex and Functional Analysis and presents much new material. The book includes generalized new forms of: Hahn-Banach Theorem, Multilinear maps, theory of polynomials, Fixed Point Theorems, p-extreme points and applications in Operations Research, Krein-Milman Theorem, Quasi-differential Calculus, Lagrange Mean-Value Theorems, Taylor series, Quasi-holomorphic and Quasi-analytic maps, Quasi-Analytic continuations, Fundamental Theorem of Calculus, Bolzano's Theorem, Mean-Value Theorem for Definite Integral, Bounding and weakly-bounding (limited) sets, Holomorphic Completions, and Levi problem. Each chapter contains illustrative examples to help the student and researcher to enhance his knowledge of theory of functions. The new concept of Quasi-differentiability introduced by the author represents the backbone of the theory of Holomorphy for non-locally convex spaces. In fact it is different but much stronger than the Frechet one. The book is intended not only for Post-Graduate (M.Sc.& Ph.D.) students and researchers in Complex and Functional Analysis, but for all Scientists in various disciplines whom need nonlinear or non-convex analysis and holomorphy methods without convexity conditions to model and solve problems. bull; The book contains new generalized versions of: i) Fundamental Theorem of Calculus, Lagrange Mean-Value Theorem in real and complex cases, Hahn-Banach Theorems, Bolzano Theorem, Krein-Milman Theorem, Mean value Theorem for Definite Integral, and many others. ii) Fixed Point Theorems of Bruower, Schauder and Kakutani's. bull; The book contains some applications in Operations research and non convex analysis as a consequence of the new concept p-Extreme points given by the author. bull; The book contains a complete theory for Taylor Series representations of the different types of holomorphic maps in F-spaces without convexity conditions. bull; The book contains a general new concept of differentiability stronger than the Frechet one. This implies a new Differentiable Calculus called Quasi-differential (or Bayoumi differential) Calculus. It is due to the author's discovery in 1995. bull; The book contains the theory of polynomials and Banach Stienhaus theorem in non convex spaces.

Product Specifications

Brand: Elsevier
Format: hardcover
ASIN: 0444500561
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 15 November 2003
Listed Since: 05 February 2007

Barcode

No barcode data available

Elsevier Foundations of Complex Analysis in Non Locally Convex Spaces: Function Theory without Convexity Condition (Volume 193) (North-Holland Mathematics Studies, Volume 193)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (Trends in Mathematics)

Higher Order Derivatives: 122 (Monographs and Surveys in Pure and Applied Mathematics)

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Higher Order Derivatives: 122 (Monographs and Surveys in Pure and Applied Mathematics)

Constructive Fractional Analysis with Applications: 362 (Studies in Systems, Decision and Control, 362)

Differential Calculus: Problems And Solutions From Fundamentals To Nuances

Mathematical Analysis II: 4th Corrected Edition, Moscow, 2002 (Universitext)

Parametrized Measures and Variational Principles: 30 (Progress in Nonlinear Differential Equations and Their Applications, 30)

A Course in Modern Analysis and its Applications: 17 (Australian Mathematical Society Lecture Series, Series Number 17)

Quasipower Series and Quasianalytic Classes of Functions (Translations of Mathematical Monographs)

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, ... Fourier Series (Problem Books in Mathematics)

Approximation Theory: Moduli of Continuity and Global Smoothness Preservation

Nonlinear Interpolation and Boundary Value Problems: 2 (Trends in Abstract and Applied Analysis)

Foundations of Algebraic Analysis (PMS-37), Volume 37 (Princeton Mathematical Series)

Integral and Discrete Inequalities and Their Applications: Volume II: Nonlinear Inequalities

Mathematical Analysis and its Applications: Roorkee, India, December 2014: 143 (Springer Proceedings in Mathematics & Statistics, 143)

Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators (University Series in Mathematics)

Handbook of Calculus of Variations for Absolute Beginners: 163 (UNITEXT, 163)

Mathematical Analysis I: 1 (Universitext)

Collected Papers (Springer Collected Works in Mathematics)

Constant-Sign Solutions of Systems of Integral Equations

Differential Equations: A Dynamical Systems Approach to Theory and Practice: 212 (Graduate Studies in Mathematics)

100+1 Problems in Advanced Calculus: A Creative Journey through the Fjords of Mathematical Analysis for Beginners (Problem Books in Mathematics)

Frobenius Manifolds: Quantum Cohomology and Singularities: 36 (Aspects of Mathematics, 36)