Classical Complex Analysis

An introduction to dimensional analysis, a method of scientific analysis used to investigate and simplify complex physical phenomena, demonstrated through a series of engaging examples.

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book to provide an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science. Covering both classical and parameterized complexity analysis, it introduces the mathematical concepts and proof techniques that can be used to test one's intuition of (in)tractability. It also describes how these tools can be applied to cognitive modeling to deal with intractability, and its ramifications, in a systematic way. Aimed at students and researchers in philosophy, cognitive neuroscience, psychology, artificial intelligence, and linguistics who want to build a firm understanding of intractability and its implications in their modeling work, it is an id

Intractability is a growing concern across the cognitive sciences: while many models of cognition can describe and predict human behavior in the lab, it remains unclear how these models can scale to situations of real-world complexity. Cognition and Intractability is the first book to provide an accessible introduction to computational complexity analysis and its application to questions of intractability in cognitive science. Covering both classical and parameterized complexity analysis, it introduces the mathematical concepts and proof techniques that can be used to test one's intuition of (in)tractability. It also describes how these tools can be applied to cognitive modeling to deal with intractability, and its ramifications, in a systematic way. Aimed at students and researchers in philosophy, cognitive neuroscience, psychology, artificial intelligence, and linguistics who want to build a firm understanding of intractability and its implications in their modeling work, it is an id

This book features papers presented during a special session on algebra, functional analysis, complex analysis, and pluripotential theory. Research articles focus on topics such as slow convergence, s

This book introduces recent results on output synchronization of complex dynamical networks with single and multiple weights. It discusses novel research ideas and a number of definitions in complex d

Qualitative Comparative Analysis (QCA) is an emerging research method that is highly suitable for evaluation studies. Clear and concise, this book explains how researchers and evaluators can use QCA e

"This book explores node and edge centrality metrics and real-world network graphs, computationally-light vs. computationally-heavy centrality metrics, centrality-based connected dominating sets for c

This tutorial teaches you how to use the statistical programming language R to develop a business case simulation and analysis. It presents a methodology for conducting business case analysis that min

This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences.Traditi

Construct, analyze, and visualize networks with networkx, a Python language module. Network analysis is a powerful tool you can apply to a multitude of datasets and situations. Discover how to work wi

This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.

This book, now in a carefully revised second edition, provides an up-to-date account of Oka theory, including the classical Oka-Grauert theory and the wide array of applications to the geometry of Ste

Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension

This title is part of the Pearson Modern Classics series. Pearson Modern Classics are acclaimed titles at a value price. Please visit www.pearsonhighered.com/math-classics for a complete list of titl

Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book contains survey and expository articles by leading experts in their corresponding fi

Women’s status in Islam is one of immense interest and much has been written on the subject, with women’s leadership, particularly for prayer, as a matter of especial concern.This book examines the po

The book addresses the control issues such as stability analysis, control synthesis and filter design of Markov jump systems with the above three types of TPs, and thus is mainly divided into three pa

This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is pla

This book contains a history of real and complex analysis in the nineteenth century, from the work of Lagrange and Fourier to the origins of set theory and the modern foundations of analysis. It studi

This book is unique in covering a wide range of design and analysis issues in genetic studies of rare variants, taking advantage of collaboration of the editors with many experts in the field through

本書以複雜神經網絡定性穩定性研究為核心, 並結合定量研究深入展開, 形成容納複雜網絡和多智能體系統的動態特性的研究脈絡。本書的特點是在動力系統和穩定性之間的關係上進行了詳盡的闡述, 傳統的動力神經網絡和當下的複雜神經網絡及多智能體之間的關係進行闡述, 揭示了大規模系統之間的演化關係。同時, 針對單穩定性、多穩定性、週期解和不變集等動態特性進行相互關係研究, 並將所得到的結果用到動力系統的同步性和一致性方面。結合動力系統的這些特點, 將神經網絡的動態特性應用到聯想記憶、模式識別、在線計算及進化學習等方面具體的應用方面, 實現神經網絡理論和實際問題的零距離結合。

The Cognitive Behavioral Analysis System of Psychotherapy (CBASP) is a set of techniques that has proven to be efficacious in the treatment of chronic depression. This book describes ways in which it

This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined

Analysis and Control of Complex Dynamical Systems is the first book which includes theoretical breakthroughs on control of complex dynamical systems developed by collaborative researchers in two field

The emerging field of lipidomics has been made possible because of advances in mass spectrometry, and in particular tandem mass spectrometry of lipid ions generated by electrospray ionization. The abi

This volume presents theoretical developments, applications and computational methods for the analysis and modeling in behavioral and social sciences where data are usually complex to explore and inve

本書較全面介紹了複雜網路上的傳播動力學的研究結果與最新進展，其中也包括三位作者的近期研究成果。書中首先對數理流行病學作了一個簡要的小結，介紹了各種“倉室”模型及有關的主要結果，接著討論了複雜網路上的相應模型，及各種推廣的和全新的研究方法；SARS 與 H1N1 的小世界與無標度網路建模、數值類比、疾病控制與風險評估等；流行病閾值的幾種主要求法，其中重點介紹了譜方法；對傳染力函數作了專門分析，討論了

Understanding the dynamics of multi-phase flows has been a challenge in the fields of nonlinear dynamics and fluid mechanics. This chapter reviews our work on two-phase flow dynamics in combination wi

This book explores the emerging topics of epidemic dynamics on complex networks, including theories, methods, and real-world applications. Providing an introduction of general epidemic models, it con

This new volume of Methods in Cell Biology looks at methods for analyzing of golgi complex function. Chapters cover such topics as in vitro reconstitution systems, fluorescence-based analysis of traff

Complex plasmas and colloidal dispersions represent different states of soft matter. They are complementary in many ways, with the most important being that complex plasmas are virtually undamped at t

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition is a textbook for upper-level undergraduate and graduate courses in music analysis. It outlines a process of analyzing works

Analysis of 18th- and 19th-Century Musical Works in the Classical Tradition is a textbook for upper-level undergraduate and graduate courses in music analysis. It outlines a process of analyzing works

Electromagnetic complex media are artificial materials that affect the propagation of electromagnetic waves in surprising ways not usually seen in nature. Because of their wide range of important appl

to Classical Complex Analysis Vol. 1 by Robert B. Burckel Kansas State University 1979 BIRKHAUSER VERLAG BASEL UND STUTTGART CIP-Kurztitelaufnahme der Deutschen Bibliothek Burckel, Robert B.: An intro

Mittlerweile ist der Weisbach das Standardwerk und somit ein zuverlassiger Ratgeber in Fragen der Werkstoffkunde. Auf Grund seines verstandlich geschriebenen Textes ist es fur den Einsatz an Fachschul

"The true method of foreseeing the future of mathematics is to study its history and its actual state." With these words Henri Poincare began his presentation to the Fourth International Congress of M

The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-

For over a decade, complex networks have steadily grown as an important tool across a broad array of academic disciplines, with applications ranging from physics to social media. A tightly organized