für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This book is devoted to study of asymptotic behavior of eigenvalues and eigenfunctions of one nonself-adjoint boundary value problem with nonsmooth coefficients, receipt of upper bounds of normalized eigenfunctions in case of summable weight function and establishment of the greatest possible growth rate of eigenfunctions in the considered problem in case of various weight functions. It has been proved that in case of the weight function satisfying Lipschitz condition (in a regular case), normalized eigenfunctions of the problem are uniformly bounded. The results of this book can be used in solution of various problems in mechanics, theory of elasticity, mathematical physics, and optimal control because, as is known, spectral boundary value problems simulate many applications. Can also find their use in mathematics in vindication of Fourier method, in study of convergence of various expansions, etc. This book should be useful in courses on spectral boundary value problems, and generalized problem of evaluation of eigenfunctions in nonself-adjoint boundary value problems. ····· 1036187550
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This book is about numerical ranges and spectral properties of Hilbert space operators which have been of great interest to many mathematicians in the past decades. Nice properties with examples are explored. The properties of numerical range, for example, convexity and closedness are well known as proved in the classic Toeplitz - Hausdorff Theorem. In this book, we embark on the relationship between the spectrum and the numerical range of an operator, in particular, when the operator is normal. It is known that for a bounded linear operator on a Hilbert space, the spectrum is contained in the closure of its numerical range. For a normal operator, the numerical radius and the spectral radius coincides with the norm of the operator. These results are actually a contribution to the field of numerical ranges and spectra. For the reader to understand this book, it is paramount that a deep understanding of the theory of operators, especially on Hilbert spaces, General Topology, Functional Analysis and Abstract Algebra be put in place. This book is useful to both undergraduate students and postgraduate students. ····· 1036187470
für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Closed-form solutions to Kolmogorov type equations are very important in many application areas, such as derivative pricing, quantum mechanics, statistical physics, etc. However, they are only available for some very special equations. This book considers general second order parabolic equations with coefficients that are dependent on both time and space. It extends the recently developed Dyson-Taylor commutator method for autonomous equations to non-autonomous equations. Closed-form approximations of the Green`s functions that are accurate to any prescribed order are obtained. Consequently, the solutions to second order parabolic equations can be obtained by integrating the approximated Green`s functions against initial data. For applications, this book considers Local Volatility models and Stochastic Volatility models that appear in option pricing theory, gives explicit formulas for European option prices, and carries out numerical tests for such formulas. ····· 1036187428
für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray In this book, we study the system that consists of a two 2-level atoms interacting with a single-mode or two-mode quantized radiation field in the absent or presence of the Stark shift. Both atoms are prepared initially in the exited state and the field in a coherent state. An analytical solution for the system of two identical 2-level atom is obtained. The phase distribution, phase variance and Wigner function are investigated. The influence of the Stark shift on the Wigner function and the phase properties is analyzed. We investigate the purity loss of the system and bipartite partitions of the system. The effects of the Stark shift on the purity loss of the system and different bipartite partitions of the system (field-two atoms, atom-(field+atom)) through the tangles are considered. In particular, the effect of the Stark shift on the amount of entanglement between atoms and field is evaluated by the negativity. Entanglement dynamics between the two atoms taking into account the effect of the emission is studied by using various measures of entanglement. ····· 1036187409
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Let Mn be the algebra of all n by n real or complex matrices. A nonneg- ative matrix R in Mn which all it`s row sums are equal one is said to be row stochastic matrix. A column stochastic matrix is the transpose of a row stochastic matrix. A matrix D in Mn with the property that D and D^t are row stochastic matrices is said to be doubly stochastic matrix. A matrix R in Mn which all it`s row sums are equal one is said to be g-row stochastic matrix. A matrix C in Mn which all it`s column sums are equal one is said to be g-column stochastic matrix. A matrix D in Mn with the property that D and D^t are g-row stochastic matrices is said to be g-doubly stochastic matrix. The matrix B is said to be gw-majorized (or gs-majorized) by A if there exists an n by n g-row (or g-doubly) stochastic matrix R such that B=RA, and denoted by AgwB(orA gs B). we will characterize all linear operators that : (1) preserve (or strongly preserve) gw-majorization on Rn and Mn. (2) preserve (or strongly preserve) gs-majorization on Mn,m. ····· 1036187399
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray In founding set theory, Cantor showed that the cardinality of the set Q of rational numbers is countably infinite that Q may be extended by completion to obtain the set R of real numbers (we say that Q is countably dense in R) that any other countably dense subset of R is isomorphic to Q and that R itself is uncountably infinite. The question then naturally arises whether all uncountably dense subsets of R of the same cardinality must also be isomorphic. Decades later, a negative answer was given when a model of set theory was constructed in which many uncountably dense subsets of R fail to be isomorphic. On the other hand, Baumgartner has shown by the method of forcing that another model exists in which all dense subsets of R of the least uncountable cardinality are isomorphic. Presented here is a detailed yet expository account of Baumgartner`s famous result with a brief discussion of its relevance to forcing axioms in contemporary set theory. ····· 1036187208
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray We introduce the notion of a near left almost ring (abbreviated as nLA-ring) which is in fact a generalization of left almost ring. A near left almost ring is a non-associative structure with respect to both the binary operations `+` and `.`. However, it possesses properties which we usually encounter in `near ring` and `LA-ring`. Historically, the first step towards the near-rings in axiomatic research was done by Dickson in 1905. He showed that there do exist, `Fields` with only one distributive law` (Near-fields) some year later these near-fields showed up the connection between near-field s and fixed-point free permutation groups. A couple of years later Veblen and Wedderburn started to use near-field s coordinatize certain kinds of geometric planes. ····· 1036187168
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Due to the immense applications of non-Newtonian fluids in engineering and industrial processes, they have received rising attention during the last several decades. Several constitutive equations have paved the path towards the classification of such fluids. The Williamson fluid model, which falls into the category of viscoelastic sheer thinning fluids, represents the behavior of pseudoplastic materials. It has been noticed that magneto hydro dynamic flow of an incompressible Williamson fluid past a porous plate has not been studied yet. Even this problem for a hydrodynamic case has not been analyzed. So the present attempt is made to investigate this problem. All the basic concepts and definitions have been detailed. As the resulting problem is a Non-linear one, the Homotopy Analysis Method (HAM), is employed to get an analytic solution. It is shown that how HAM works efficiently with its initial guess, linear operator and convergence control parameter to obtain a solution. ····· 1036187166
für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Mathematics does not explain the natural behaviour of an object, it simply describes it. This description however is so much effective, so that an elementary mathematical equation can describe simply and clearly a relation, that in order to be expressed with words could need entire pages. During the last two decades (1991-2011) we have worked in creating mathematical (stochastic and fuzzy) models for the better description and understanding of several processes appearing in the areas of Mathematical Education, Artificial Intelligence (Case-Based Reasoning) and Management. The present monograph contains the main topics of this research. ····· 1036187155
für 61.20€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Over the last ten years, the theory of Hardy and Bergman Spaces has undergone a remarkable metamorphosis. The research originated from a study of weighted Hardy and Bergman Spaces that revolve around the composition operators and inequalities is to present the latest development, mostly achieved in the thesis form. In particular, gradute students and new researchers in the field will have access to the theory from an almost self contained and readable source. We study the action of composition operators on Sobolev Spaces of analytic functions in some weighted Bergman and Hardy Spaces on the unit disc. composition operators mapping into the Hardy Space are included by making particular choices for the weights. In the thesis we will explain some of the important results of compact composition operators on weighted Hardy and Bergman Spaces. ····· 1036187104
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This book examines the time vibration of the displacement of a structure due to the internal forces, with no damping or external forcing. Practically, vibrations decay with time but in theory these vibrations do not actually decay. For vibrations due to purely internal forces, the dynamic systems are referred to as conservative systems. The methods of solution adopted for solving non-linear single-degree-of-freedom problems may be extended to multi-degree-of-freedom problems. There are many studies in literature on the application of these methods of solution to linear problems and yet so few have been applied to the non-linear problems. Dynamic vibration equations are of great importance not only for understanding the dynamic motion of structures, but also for providing knowledge of differential equations to mathematicians. Several attempts have been made to study dynamic vibration equations. This book gives a nicer approach to numerical solutions to second order ordinary differential equations. It also gives good examples for learners easy understanding of the techniques used. ····· 1036187016
für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Sometimes one may desire to approximate a function defined on a finite interval (for example [-1,1]), subject to the conservation of so called shape properties (positivity, monotonicity and convexity). The first contribution is that we have approximated a function from a space Lp[-1,1], 0 p, by a number of piecewise linear functions and we have obtained global estimate of each of them using the second order of Ditzian Totik modulus of smoothness. Furthermore, these piecewise linear functions preserves the positivity of the function. Also proved the rate of coconvex approximation in the Lp[-1,1] spaces, in terms of the third order of Ditzian Totik modulus of smoothness, where the constants involved depend on the location of the points of change of convexity. We have thus filled up a gap due to the uncertainty between previously known estimates involving the second order of Ditzian Totik modulus of smoothness and the impossibility of having such estimates involving with the second order of usual modulus of smoothness. ····· 1036186920
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The goal of this book is to study some categorial aspects of the theory of topological abelian groups and topological modules. In topological algebra there is a small number of papers on categorial aspects of this theory. A problem which attracts the researchers attention is the epimorphisms characterization in the topological Hausdorff groups category. An important role in the categorial theory is played by the reflective subcategory concept. The famous Theorem of Birkhoff characterized varieties of algebraic systems as closed classes with respect to cartesian products, subalgebras and homomorphic images. There are more variety concepts for topologico-algebraic systems. A strong construction in topological algebra is the tensor products of modules and abelian groups. This monograph is addressed to researchers and graduate students for research, seminars and advanced graduate courses in topological algebra. ····· 1036186904
für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Nature is abundant with the examples of flows involving non-Newtonian fluids. Such flows are widely encountered in many industrial and technology applications, such as melts of polymers, biological solutions, paints, tars, asphalts and glues etc. Moreover, non-Newtonian nanofluids are also widely encountered in many industrial and technology applications such as nuclear reactors, transportation industry (an automobiles, trucks, and airplanes), micro-electromechanical systems, electronics and instrumentation etc. This book deals an incompressible, non-Newtonian and non-Newtonian nanofluid. It is well known that getting an analytic solution of a nonlinear coupled partial differential equation is often more difficult as compared to getting a numerical solution. This book provides analytical solutions by using the methods like lie algebra, perturbation and homotopy techniques. In many cases solution obtains are compared with each other and existing results. Convergence of the obtained series solutions has been discussed explicitly and the recurrence formulae for finding the coefficients are also given. The role of pertinent parameters is illustrated graphically in each case. ····· 1036186885
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Numerical methods for solving ordinary and partial differential equations have always been important in scientific investigations. With the advent of computers, the use of numerical methods has been popularized, and more importantly, people are now able to tackle those problems which are fundamental to our understanding of scientific phenomena, but were so much more difficult to study in the past. Spectral methods is the name given to a numerical approach for the solution of differential, integral and integro equations. Our intension in this book is to develop formulas which are new to the best of our knowledge for the generation of higher order pseudospectral integration matrices. This is used for solving integral and ordinary differential equation applying the proposed formulas transforms the linear integral equation into a system of linear equations which can be solved using any of the well-known numerical methods. ····· 1036186858
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray This book introduces new Monte Carlo methods for computing Value-at-Risk(VAR) in finance. 2 major cases (i.i.d. Monte Carlo and Markov Chain Monte Carlo) are treated in this book. New i.i.d Monte Carlo technique is based on the combination of importance sampling, non-linear optimization, and newly proposed exponential twisting density. Its theoretical justification will also be given based on the Large Deviation Theory and the Laplace method. For the Markov Chain Monte Carlo, this book introduces new techniques based on Metropolis-within-Gibbs algorithm combined with Robbins-Monro algorithm from stochastic approximation theory. Its theoretical justification will be given motivated by Ergodic Theory as well. Recently (especially after the financial crisis of 2008), industry practitioners started seeking more general non-Gaussian distribution (historical simulation, etc) and Markov Chain Monte Carlo can be used to deal with such cases. Although this book deals extensively with new techniques for VaR calculation, later chapter of this book contains several examples of its application to pricing various far out of the money options/basket options/Asian options/American options. ····· 1036186784
für 71.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Mathematics is crucial to all aspects of engineering and technology. Understanding key mathematical concepts and applying them successfully to solve problems are vital skills every engineering student must acquire. The present book highlights the developments concerned with the engineering mathematics. The material is so structured that the ordinary students build up their knowledge and understanding gradually. The interactive examples have been carefully designed to encourage students to engage fully in the problem-solving process. ····· 1036186692
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The purpose of this study was to investigate the use of Information and Communication Technology in the teaching of polynomial and algebraic functions by mathematics teachers in Zimbabwean schools. . The research targeted mathematics teachers and a sample of twenty teachers was selected from the four high schools in Masvingo City , Zimbabwe. A survey was conducted to study the barriers preventing the integration and adoption of information and communication technology (ICT) in teaching mathematics . The researcher identified five major barriers such as: lack of teacher training on the use of ICT in teaching mathematics , inaccessibility of computers for use in mathematics classrooms, computer anxiety , teaching for examinations and inadequate financial support to purchase these gadgets. The researcher also conducted a practical exercise with graphical calculators , where A level mathematics students were tasked to solve classical polynomial functions problems using both graphical calculators and algebraic methods. The results of the exercise reveal ····· 1036186658
····· lezzter Preis 64.90€ ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Calculus on time scales was established in 1988 by Stefan Hilger. It includes both the classical derivative and the forward difference operator as special cases. It also includes Riemann integrals and finite sums as inverse operations. However, it does not include the Jackson q-difference operator on the real numbers and the Jackson q-integral on R. Also, it does not include neither the difference operator on R and associated Norlund sums nor the Hahn difference operator. This book extends the definition of time scales in a way such that the previous difference operators and their associated sums are included. In addition, new illustrative examples will be given. ····· 1036186573
für 53.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray Quiescence refers to a reversible state in which cells exhibit low metabolic activity, do not divide, and enjoy a lower death rate. Certain microbial populations exercise this capability to survive stress such as lack of resource, extreme temperature, and antibiotic regime. In this monograph, fitness of a quiescence-capable population is quantified using some linear systems of ordinary differential equations, and compared with that of a quiescence-incapable population, in order to examine the benefit of quiescence in a time-varying environment. Nonlinear deterministic models based on ordinary differential equations are constructed and thoroughly analyzed to study the impact of essential nutrients, low levels of which induce quiescence, on the adaptive dynamics of microbial populations. Resource competition among quiescence-capable populations is also studied. ····· 1036186564
für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray The present monograph concerns with new types of Abramovich-Wickstead spaces,the elements of which are the sums of real-valued (or vector valued in general) continuous functions and discrete functions on a compact Hausdorff space without isolated points, and analytic representations of different classes of dominated operators on these spaces. Although it is primarily based on the Ph.D. thesis of the author, the monograph provides further results and information on recent advances about that topic. The notion of a dominated operator was invented in the 1930s by L. V. Kantorovich. The idea of dominated operator can be stated as follows: if an operator under consideration is dominated by another operator, called a dominant, then the properties of the latter have a substantail influence on the properties of the former. Thus, operators that have nice dominants must posses nice properties. In this book, we are interested in giving some results concerning Banach space valued dominated operators on Abramovich-Wickstead spaces. ····· 1036186515
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