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Apprehension and Argument : Ancient Theories of Starting Points for Knowledge
This book offers the first synoptic study of how the primary elements in knowledge structures were analysed in antiquity from Plato to late ancient commentaries, the main emphasis being on the Platonic-Aristotelian tradition. It argues that, in the Platonic-Aristotelian tradition, the question of starting points was treated from two distinct points of view: from the first perspective, as a question of how we acquire basic knowledge; and from the second perspective, as a question of the premises we may immediately accept in the line of argumentation. It was assumed that we acquire some general truths rather naturally and that these function as starting points for inquiry. In the Hellenistic period, an alternative approach was endorsed: the very possibility of knowledge became a central issue when sceptics began demanding that true claims should always be distinguishable from false ones.
Applicazioni ed esercizi di modellistica numerica per problemi differenziali = Applications and exercises in numerical modeling for differential problems
Contains a collection of exercises related to typical topics in a course on analytical and numerical methods offered in a degree program in Engineering or Mathematics. Starting with exercises in functional analysis and approximation theory, the text develops problems related to the numerical resolution of elliptic, parabolic, and hyperbolic partial differential equations, scalar or vector, in one or more spatial dimensions. Pure diffusion and pure convection problems are therefore addressed, alongside diffusion-transport problems and problems in compressible and incompressible fluid dynamics. Particular emphasis is given to the finite element method for the spatial discretization of the problems considered, although exercises on the finite difference and finite volume methods are also included.
Analytical Chemistry : Theoretical and Metrological Fundamentals
Fundamentals of Analytical Chemistry are usually presented as a sum of chemical and physical foundations, laws, axioms and equations for analytical methods and procedures. In contrast, this book delivers a practice-oriented, general guiding theory valid for all methods and techniques. Starting with a closer look to analytical signals and their dependencies, all the important figures of merit characterizing the power of analytical procedures and the reliability of analytical results are discussed and quantified, such as sensitivity, precision, accuracy and ruggedness. Elements of signal theory, information theory, statistics and fundamentals of calibration are also presented for this aim.
Analysis, Modeling and Simulation of Multiscale Problems
This book reports recent mathematical developments in the Programme "Analysis, Modeling and Simulation of Multiscale Problems", which started as a German research initiative in 2006. Multiscale problems occur in many fields of science, such as microstructures in materials, sharp-interface models, many-particle systems and motions on different spatial and temporal scales in quantum mechanics or in molecular dynamics. The book presents current mathematical foundations of modeling, and proposes efficient numerical treatment.
Analysis and Synthesis of Logics : How to Cut and Paste Reasoning Systems
Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositional and first-order based logics to higher-order based logics as well as to non-truth functional logics. The theory covers mechanisms for combining semantic structures and deductive systems either of the same or different nature (for instance, two Hilbert calculi or a Hilbert calculus and a tableau calculus). The important issue of preservation of properties is extensively addressed. For instance, sufficient conditions are provided for a combined logic to be sound and complete when the original component logics are known to be sound and complete.
Analysis and Probability : Wavelets, Signals, Fractals
This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals.the book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications.
Analog Design Essentials
The book starts with elementary stages in building up operational amplifiers. The synthesis of opamps is covered in great detail, such that lowest power consumption is always guaranteed. Many examples are included, operating at low supply voltages. Chapters on noise, distortion, filters, ADC/DACs and oscillators follow. These are all based on the extensive amount of teaching that the author has carried out both at universities and companies world-wide. All chapters have been drawn up specifically for self-study. They aim, however, at different levels of understanding. All start with elementary material. Most chapters also contain advanced material, especially from Chapter 9 onwards.
An Invitation to Quantum Cohomology : Kontsevich's Formula for Rational Plane Curves
This book is an elementary introduction to stable maps and quantum cohomology, starting with an introduction to stable pointed curves, and culminating with a proof of the associativity of the quantum product. The viewpoint is mostly that of enumerative geometry, and the red thread of the exposition is the problem of counting rational plane curves. Kontsevich's formula is initially established in the framework of classical enumerative geometry, then as a statement about reconstruction for Gromov–Witten invariants, and finally, using generating functions, as a special case of the associativity of the quantum product.
An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces
This book gives an introduction to modern geometry. Starting from an elementary level the author develops deep geometrical concepts, playing an important role nowadays in contemporary theoretical physics. He presents various techniques and viewpoints, thereby showing the relations between the alternative approaches.
An Introduction to Number Theory
An Introduction to Number Theory provides an introduction to the main streams of number theory. Starting with the unique factorization property of the integers, the theme of factorization is revisited several times throughout the book to illustrate how the ideas handed down from Euclid continue to reverberate through the subject. In particular, the book shows how the Fundamental Theorem of Arithmetic, handed down from antiquity, informs much of the teaching of modern number theory. The result is that number theory will be understood, not as a collection of tricks and isolated results, but as a coherent and interconnected theory. A number of different approaches to number theory are presented, and the different streams in the book are brought together in a chapter that describes the class number formula for quadratic fields and the famous conjectures of Birch and Swinnerton-Dyer. The final chapter introduces some of the main ideas behind modern computational number theory and its applications in cryptography.
An Introduction to Infinite-Dimensional Analysis
In this revised and extended version of his course notes from a 1-year course at Scuola Normale Superiore, Pisa, the author provides an introduction – for an audience knowing basic functional analysis and measure theory but not necessarily probability theory – to analysis in a separable Hilbert space of infinite dimension.Starting from the definition of Gaussian measures in Hilbert spaces, concepts such as the Cameron-Martin formula, Brownian motion and Wiener integral are introduced in a simple way. These concepts are then used to illustrate some basic stochastic dynamical systems (including dissipative nonlinearities) and Markov semi-groups, paying special attention to their long-time behavior: ergodicity, invariant measure. Here fundamental results like the theorems of Prokhorov, Von Neumann, Krylov-Bogoliubov and Khas'minski are proved. The last chapter is devoted to gradient systems and their asymptotic behavior.
An Archaeological Evolution
An Archaeological Evolution is a personal recounting of his life as it is played out among some of the most important debates and movements in archaeology starting in the 1960's up to the 21st century.This seminal volume will be of interest to archaeologists (both professional and academic), anthropologists, historians, and conservators in or studying the United States but also, wherever archaeology is taught and practiced.
Algebraic Geometry : An Introduction
The book starts with easily-formulated problems with non-trivial solutions – for example, Bézout’s theorem and the problem of rational curves – and uses these problems to introduce the fundamental tools of modern algebraic geometry: dimension; singularities; sheaves; varieties; and cohomology. The treatment uses as little commutative algebra as possible by quoting without proof (or proving only in special cases) theorems whose proof is not necessary in practice, the priority being to develop an understanding of the phenomena rather than a mastery of the technique. A range of exercises is provided for each topic discussed, and a selection of problems and exam papers are collected in an appendix to provide material for further study.
Advances in Multiresolution for Geometric Modelling
Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects.The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area.
Advanced Earthquake Engineering Analysis
The purpose of the book is to review the fundamentals of displacement based methods, starting from engineering seismology, earthquake geotechnical engineering, to focus on design, analysis and testing of structures with emphasis on buildings and bridges.
Adaptive Atmospheric Modeling : Key Techniques in Grid Generation, Data Structures, and Numerical Operations with Applications
This is an overview of the development of adaptive techniques for atmospheric modeling. Written in an educational style, it functions as a starting point for readers interested in adaptive modeling, in atmospheric sciences and beyond. Coverage includes paradigms of adaptive techniques, such as error estimation and adaptation criteria. Mesh generation methods are presented for triangular/tetrahedral and quadrilateral/hexahedral meshes, with a special section on initial meshes for the sphere.
Acoustic MIMO Signal Processing
Telecommunication systems and human-machine interfaces start employing multiple microphones and loudspeakers in order to make conversations and interactions more lifelike, hence more efficient. This development gives rise to a variety of acoustic signal processing problems under multiple-input multiple-output (MIMO) scenarios, encompassing distant speech acquisition, sound source localization and tracking, echo and noise control, source separation and speech dereverberation, and many others. The last decade has witnessed a growing interest in exploring these problems, but there has been little effort to develop a theory to have all these problems investigated in a unified framework. This unique book attempts to fill the gap.
Account management strategies in B2B sales : Generating customer value and building sustainable business relationships - methodology, processes, tools
Provides employees and managers in sales with a clearly defined process for building sustainable business relationships along the account journey. Using a structured method, you will learn how to set yourself up for success right from the start, increase your competitiveness, increase market share and generate more sales.
Academic Flying and the Means of Communication
This book shines a light on how and why academic work became entwined with air travel, and what can be done to change academia’s flying habit. The starting point of the book is that flying is only one means of scholarly communication among many, and that the state of the planet now obliges us to shift to other means.
Abuse of Dominant Position : New Interpretation, New Enforcement Mechanisms?
As part of its review of competition law that started in the late 1990s, the European Commission proposes to revise its interpretation and application of the Treaty’s prohibition of abuses of dominant positions. Also, it has instigated a debate about the promotion of private enforcement of EC competition law. The chapters in this volume critically appraise the Commission’s proposals, including the most recent ones. The authors also highlight the repercussions of the proposed ‘more economic approach’ to abuses of dominant positions on private litigants’ opportunities to bring damages actions in national courts for such abuses.
