الصفحة 2
الصفحة 2
Essays in Constructive Mathematics
This book aims to promote constructive mathematics, not by defining it or formalizing it, but by practicing it, by basing all definitions and proofs on finite algorithms. The topics covered derive from classic works of nineteenth century mathematics---among them Galois' theory of algebraic equations, Gauss's theory of binary quadratic forms and Abel's theorem about integrals of rational differentials on algebraic curves. It is not surprising that the first two topics can be treated constructively---although the constructive treatments shed a surprising amount of light on them---but the last topic, involving integrals and differentials as it does, might seem to call for infinite processes. In this case too, however, finite algorithms suffice to define the genus of an algebraic curve, to prove that birationally equivalent curves have the same genus, and to prove the Riemann-Roch theorem. The main algorithm in this case is Newton's polygon, which is given a full treatment. Other topics covered include the fundamental theorem of algebra, the factorization of polynomials over an algebraic number field, and the spectral theorem for symmetric matrices.
Essays and Surveys in Global Optimization
Global optimization aims at solving the most general problems of deterministic mathematical programming: to find the global optimum of a nonlinear, nonconvex, multivariate function of continuous and/or integer variables subject to constraints which may be themselves nonlinear and nonconvex. In addition, once the solutions are found, proof of its optimality is also expected from this methodology. Therefore, with these difficulties in mind, global optimization is becoming an increasingly powerful and important methodology. Essays and Surveys in Global Optimization is the most recent examination of its mathematical capability, power, and wide ranging solutions to many fields in the applied sciences.
Elementary Dirichlet Series and Modular Forms
The main topics of the book are the critical values of Dirichlet L-functions and Hecke L-functions of an imaginary quadratic field, and various problems on elliptic modular forms. As to the values of Dirichlet L-functions, all previous papers and books reiterate a single old result with a single old method. After a review of elementary Fourier analysis, the author presents completely new results with new methods, though old results will also be proved. No advanced knowledge of number theory is required up to this point. As applications, new formulas for the second factor of the class number of a cyclotomic field will be given.
Ecografia dellapparato osteoarticolare : Anatomia, semeiotica e quadri patologici = Ultrasound of the osteoarticular system: Anatomy, semeiotics and pathological pictures
The echography is useful in the valutazione of articolari pathology in peace with rheumatic malattia and, other than in the diagnosis, is effective in the monitoring with power Doppler of the synovite, with a higher sensitivity to all'esame clinical. The high resolution ultrasound, integrated with the power Doppler technique, even to the degree of individualizing the entheopathic anomaly, the osseous erosion and the tendine involvement. The objective of the operation is to present the technique of same, and progress of echography in muscoloscheletric rheumatic pathology and the diagnosis of ultrasound in articolare rheumatic pathology. L’iconography è arricchita with integrated imaging of ultrasound, conventional radiology, CT and MRI.
Dynamic General Equilibrium Modelling : Computational Methods and Applications
Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. Many mathematical tools are needed to solve these models. The book presents various methods for computing the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. Part II discusses methods for solving heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model.
Discrete Element Analysis Methods of Generic Differential Quadratures
This book presents numerical differential quadrature (DQ) - based methods recently developed by the author. Their ability for solving generic scientific and engineering problems is demonstrated. These methods are the generic differential quadrature, the extended differential quadrature and the related discrete element analysis methods. These novel numerical techniques are both efficient and reliable. They are suitable for developing solution algorithms for various computational mechanics problems with arbitrarily complex geometry. This is shown for several comprehensive examples such as bars and beams, trusses, frames, general field problems, elasticity problems or bending of plates.
Digital self-tuning controllers : Algorithms, implementation and applications
Digital Self-tuning Controllers presents you with a complete course in self-tuning control, beginning with a survey of adaptive control and the formulation of adaptive control problems. Modelling and identification are dealt with before passing on to algebraic design methods and particular PID and linear-quadratic forms of self-tuning control. Finally, laboratory verification and experimentation will show you how to ground your theoretical knowledge in real plant control.
Differential Analysis on Complex Manifolds
In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems.
Danno Vascolare E Tromboemostasi : Fisiopatologia e patologia clinica = Vascular injury and thrombohemostasis : Pathophysiology and clinical pathology
Quest’opera descrive alcuni meccanismi chiave dell’angiogenesi e le opportunità riguardanti lo sviluppo di nuove strategie in campo terapeutico. Il volume fornisce un quadro esaustivo della materia spaziando dall’embriologia dei vasi e del sistema emopoietico ai più avanzati approcci terapeutici, primo fra tutti quello che si basa sull'utilizzazione del sangue midollare autologo ad attività staminalica. Grande rilevanza viene inoltre attribuita alla patogenesi dei difetti dell’emostasi e della coagulazione, all’ipertensione arteriosa e ai difetti del quadro lipidico.
Crypto Wars : Faked Deaths, Missing Billions and Industry Disruption
Unveils the biggest scams and frauds that have shocked the world of cryptocurrency, from the disappearing Crypto Queen with OneCoin, to Bitconnect, the initial coin offering crash and Quadriga where the founder seems to have faked his own death to escape prosecution Contains exclusive interviews and commentaries from many of the key people who have been actively investigating the biggest crypto-scams, from the Metropolitan police, to insolvency practitioners, researchers, BBC journalists and tech geeks Goes beyond the sensationalist and concludes on the real potential for change and good that cryptocurrencies bring; from challenging the greedy practices of the banking and remittance industries, to reaching over 2.5 billion unbanked users, allowing for greater transparency and ethical behaviours
Computer Algebra in Scientific Computing ; 10th International Workshop, CASC 2007, Bonn, Germany, September 16-20, 2007, Proceedings
The book covers not only various expanding applications of computer algebra to scientific computing but also the computer algebra systems themselves and the CA algorithms. Topics addressed are studies in polynomial and matrix algebra, quantifier elimination, and Gröbner bases, as well as stability investigation of both differential equations and difference methods for them. Several papers are devoted to the application of computer algebra methods and algorithms to the derivation of new mathematical models in biology and in mathematical physics.
Mathematical Methods in Robust Control of Linear Stochastic Systems
Linear stochastic systems are successfully used to provide mathematical models for real processes in fields such as aerospace engineering, communications, manufacturing, finance and economy. This monograph presents a useful methodology for the control of such stochastic systems with a focus on robust stabilization in the mean square, linear quadratic control, the disturbance attenuation problem, and robust stabilization with respect to dynamic and parametric uncertainty.
Mathematical Methods in Computer Science : Essays in Memory of Thomas Beth
This Festschrift volume contains the proceedings of the conference Mathematical Methods in Computer Science, MMICS 2008, which was held during December 17-19, 2008, in Karlsruhe, Germany, in memory of Thomas Beth.The themes of the conference reflected the many interests of Thomas Beth. Although, these interests might seem diverse, mathematical methods and especially algebra as a language constituted the common denominator of all of his scientific achievements.
Low Power VCO Design in CMOS
The performance of voltage controlled oscillators (VCO) is of extreme importance for any telecommunication or data communication system. This practical guide develops a systematic, fully-integrated LC-VCO design for low power and low phase noise, especially useful to meet the demands on mobile devices such as cell phones. The proposed VCO design approaches are experimentally verified with several fully integrated CMOS VCOs. The concise presentation is offered in three parts (VCO design; CMOS devices for VCO design; and fully-integrated CMOS DESIGNS) and supplemented by an appendix summarizing the state of the art.
Linear Programming : Foundations and Extensions
Linear Programming: Foundations and Extensions is an introduction to the field of optimization. The book emphasizes constrained optimization, beginning with a substantial treatment of linear programming, and proceeding to convex analysis, network flows, integer programming, quadratic programming, and convex optimization. The book is carefully written. Specific examples and concrete algorithms precede more abstract topics. Topics are clearly developed with a large number of numerical examples worked out in detail.
Large-Scale Nonlinear Optimization
Large-Scale Nonlinear Optimization reviews and discusses recent advances in the development of methods and algorithms for nonlinear optimization and its applications, focusing on the large-dimensional case, the current forefront of much research.The chapters of the book including theoretical analysis, algorithmic development, implementation issues and applications.
Biotechnology and sustainable agriculture 2006 and beyond ; Proceedings of the 11th IAPTC&B Congress, August 13-18, 2006 Beijing, China
Biotechnology and Sustainable Agriculture 2006 and Beyond is a collection of papers presented at the XIth international congress of the International Association of Plant Tissue Culture & Biotechnology (IAPTC&B). It continues the long tradition of the IAPTC&B to publish the proceedings of its quadrennial congresses. It provides an up-to-date report of the most significant advances in plant tissue culture and biotechnology as presented by leading international scientists.
Binary Quadratic Forms: An Algorithmic Approach
This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography.
Automorphic forms and even unimodular lattices : Kneser neighbors of niemeier lattices
This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices.It explains how the new advances in the Langlands program mentioned above pave the way for a solution. This study proves to be very rich, leading us to classical themes such as theta series, Siegel modular forms, the triality principle, L-functions and congruences between Galois representations.
Aspects of Brownian motion
Stochastic calculus and excursion theory are very efficient tools to obtain either exact or asymptotic results about Brownian motion and related processes. The emphasis of this book is on special classes of such Brownian functionals as: - Gaussian subspaces of the Gaussian space of Brownian motion; - Brownian quadratic funtionals; - Brownian local times, - Exponential functionals of Brownian motion with drift; - Winding number of one or several Brownian motions around one or several points or a straight line, or curves; - Time spent by Brownian motion below a multiple of its one-sided supremum.
