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Complex Variables with Applications

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Examined properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. It explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics, using geometry to illustrate analytic concepts and employing analysis to unravel geometric notions. The engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. This focus involves a careful examination of the methods and assumptions underlying various alternative routes that lead to the same destination.

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Complex Analysis : In the Spirit of Lipman Bers

In this book, the main focus is the theory of complex-valued functions of a single complex variable. This theory is a prerequisite for the study of many current and rapidly developing areas of mathematics including the theory of several and infinitely many complex variables, the theory of groups, hyperbolic geometry and three-manifolds, and number theory.

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Complex analysis

The guiding principle of this presentation of ``Classical Complex Analysis'' is to proceed as quickly as possible to the central results while using a small number of notions and concepts from other fields. Thus the prerequisites for understanding this book are minimal; only elementary facts of calculus and algebra are required.

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Comparative Corporate Governance : Shareholders as a Rule-maker

It is fairly easy for a Finnish Jurist to understand German Company law. On the other hand, UK Company law seems very confusing. What is even more confusing is that the UK corporate govemance model is often regarded as one of the best in the World. Clearly German law cannot be as bad as it is often said to be. This books results from these kinds of thoughts and an interest in comparative law, Company law and securities markets law. I wanted to find out whether the functional method would give anything new to say about the regulation of corpo­ rate govemance in Germany and the UK. As I have been lecturing on Company law and corporate govemance myself, I also wanted to write a book that I could use as a textbook in my courses. For this reason, I focused on one of the key questions in corporate govemance: the regula­ tion of shareholder activism.

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Clinical Neuroanatomy : A Neurobehavioral Approach

This book begins with a traditional review of the basic internal and external morphology, major nerve and fiber tracts, behavioral correlates, and clinical syndromes associated with spinal cord, brain stem, and cerebellum designed to reacquaint students and practicing clinicians with the functional anatomy of the subtentorial central nervous system. However, as the text was specifically geared to meet the needs of those practitioners whose primary interest is in what might be termed "higher order cognitive-behavioral function," the main focus of the text is on the brain itself. Borrowing heavily from a Lurian tradition, the central chapters reflect an attempt to offer more detailed, integrated, and, at times, theoretical models of cortical systems and their internal organization. Additional chapters highlight vascular anatomy and associated pathology, as well as neurochemical systems and their potential clinical relevance.

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Classic Works on the Dempster-Shafer Theory of Belief Functions

This book brings together a collection of classic research papers on the Dempster-Shafer theory of belief functions. By bridging fuzzy logic and probabilistic reasoning, the theory of belief functions has become a primary tool for knowledge representation and uncertainty reasoning in expert systems.

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Child Neuropsychology : Assessment and Interventions for Neurodevelopmental Disorders

Child Neuropsychology guides therapists and neurologists toward common goals: early, accurate diagnosis and finely focused interventions across disciplines. By analyzing the affects of brain development on children and adolescents’ behavioral, cognitive, learning, and psychosocial abilities and deficits, this groundbreaking volume brings vital perspectives to assessment and treatment. Leading experts Ellison and Semrud-Clikeman start with the basics of child clinical neuropsychology and functional neuroanatomy, taking readers through examination protocols and assessment instruments to treatment planning and methods. In this volume, the authors address the full range of neurodevelopmental pathologies, from learning disabilities to autism, ADHD to CNS disorders, traumatic brain injury to fetal alcohol syndrome.

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Chemical Genomics ; Vol.58 : Small Molecule Probes to Study Cellular Function

Chemical genomics is a highly interdisciplinary and very exciting field of research both in academics and in the life sciences industry.Various aspects of the interface between chemistry and biology are covered in this volume, such as chemogenomics efforts in the pharmaceutical industry, diversity-oriented synthesis, chemogenomic approaches to the study of cell function, screening technologies, and natural products as tools in chemical biology.

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Charity Law & Social Policy : National and International Perspectives on the Functions of the Law Relating to Charities

Charity Law & Social Policy explores contemporary law, policy and practice in a range of modern common law nations. It does so in four parts and from the perspective of how this has evolved in the UK.As progenitor of a system bequeathed to its colonies and after centuries of leadership in developing the core principles, policies and precedents that subsequently shaped its development, the contribution of England & Wales, the originating jurisdiction, is first described and analysed in detail.

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Chaos, Nonlinearity, Complexity : The Dynamical Paradigm of Nature

This carefully edited book presents a focused debate on the mathematics and physics of chaos, nonlinearity and complexity in nature. It explores the role of non-extensive statistical mechanics in non-equilibrium thermodynamics, and presents an overview of the strong nonlinearity of chaos and complexity in natural systems that draws on the relevant mathematics from topology, measure-theory, inverse and ill-posed problems, set-valued analysis, and nonlinear functional analysis. It presents a self-contained scientific theory of complexity and complex systems as the steady state of non-equilibrium systems, denoting a homeostatic dynamic equilibrium between stabilizing order and destabilizing disorder.

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CFN Lectures on Functional Nanostructures : Vol.1

This book contains a selection of lectures from the first Summer School organized by the Center for Functional Nanostructures (CFN) at the University of Karlsruhe. The mission of the CFN is to carry out research in the following areas: nanophotonics, nanoelectronics, molecular nanostructures and nanostructured materials. The aim of the summer schools is mainly to exchange new ideas and illustrate emerging research methodologies through a series of lectures. This is reflected by both the selection of topics addressed in the present volume as well as the tutorial aspect of the contributions.

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Cell Culture Engineering

Many patients suffering with life-threatening diseases or chronic dysfunctions, which were medically untreatable not long ago, can attest to the wonder these drugs have achieved. Although the first generation of p- tein therapeutics was produced in recombinant Escherichia coli, most recent products use mammalian cells as production hosts. Not long after the first p- duction of recombinant proteins in E. coli, it was realized that the complex tasks of most post-translational modifications on proteins could only be efficiently carried out in mammalian cells.

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Carotenoids ; Vol.4 : Natural Functions

The Carotenoids book series provides detailed accounts of the fundamental chemistry of carotenoids and the basic methods used in carotenoid research, and critical discussions of the biochemistry, functions and applications of these important compounds. Volume 4 and its companion, Volume 5, deal with the functions of carotenoids in all kinds of living organisms and the actions of carotenoids in human nutrition and health. The material presented in the earlier Volumes is all relevant to studies of biological functions and actions. In particular, biological studies must be supported by a rigorous analytical base. The various analytical procedures described in Volumes 1A and 1B, supplemented by the data for individual compounds given in the Carotenoids Handbook, must be understood and applied correctly, whether they are being used for quantitative analysis, identification or in complex studies of carotenoids in situ.

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Calculus of one variable

Aimed at first-year undergraduates in mathematics and the physical sciences, the only prerequisites are basic algebra, coordinate geometry and the beginnings of differentiation as covered in school. The transition from school to university mathematics is addressed by means of a systematic development of important classes of techniques, and through careful discussion of the basic definitions and some of the theorems of calculus, with proofs where appropriate, but stopping short of the rigour involved in Real Analysis.The influence of technology on the learning and teaching of mathematics is recognised through the use of the computer algebra and graphical package MAPLE to illustrate many of the ideas.

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Calculus and mechanics on two-point homogenous riemannian spaces

The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.

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Cálculo científico con MATLAB y Octave = Scientific computing with MATLAB and Octave

This textbook is an introduction to Scientific Calculus, illustrating various numerical methods for the computer solution of certain classes of mathematical problems. The authors show how to compute the zeros or integrals of continuous functions, solve linear systems, approximate functions by polynomials, and construct precise approximations for the solution of differential equations. To make the presentation concrete and attractive, the MATLAB programming environment has been adopted as a faithful companion.

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Cálculo científico com MATLAB e Octave = Scientific calculus with MATLAB and Octave

Its objective is to present various numerical methods for solving certain mathematical problems on the computer that cannot be treated in a simpler way. Classical issues such as the computation of zeros or integrals of continuous functions, the solving of linear systems, the approximation of functions by polynomials and the construction of precise approximations for solutions of differential equations are addressed. All algorithms are presented in the programming languages ​​MATLAB and Octave, whose main commands and instructions are introduced gradually, aiming in particular at their compatibility in both languages.

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Calcolo Scientifico : Esercizi e problemi risolti con MATLAB e Octave = Scientific computing : exercises and problems solved with MATLAB and Octave

For the short courses of the new system of the Faculties of Engineering and Sciences. It deals with all the typical topics of Numerical Mathematics, ranging from the problem of approximating a function, to the computation of its zeros, its derivatives and its definite integral up to the approximate solution of ordinary differential equations and limit problems.

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Calcium in Human Health

Calcium performs diverse biological functions in the human body and is a micronutrient essential to human health and well-being. It serves as a second messenger for nearly every biological process, stabilizes many proteins, and in deficient amounts is associated with a large number diseases and disorders. In Calcium in Human Health, a panel of highly respected researchers and clinical practitioners comprehensively reviews the state of our knowledge concerning this ubiquitous micronutrient, not only demonstrating its importance to human health, but also defining its many complex roles.

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Business processes : An archival science approach to collaborative decision making, records, and knowledge management

Collaborative decision making processes are a form of communication inside organizations. Their functioning can teach lessons for the design of electronic office systems. Those processes are open ended and therefore decide themselves on their form. Like oral deliberations which cannot be modelled in advance any open ended communication process needs means for common control over the further advancement and the ending of the process.The book is a reworked English version of a thesis for the official qualification for university professorship accepted by the German University of Administrative Sciences Speyer. Germany.

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