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Fundamental of Numerical Methods for Scientists and Engineers

für 44.10€ kaufen ···· Rheinberg-Buch.de - Bücher, eBooks, DVD & Blu-ray
This book is created to enhance the understanding of Mathematics model in Numeric methodology. It is aimed that the scientist and engineer will be more understanding the behind of calculative methods which applied for their job and also suitable for undergraduate student. This fundamental approached will give clearer picture the basic concept of ma thematic algorithm and emphasize on their simple formulas. It was compared with other advanced numerical book the explanation for the concept is much more complicated and difficult to understand their application formulas. Hence, those whose interested in Mathematical model by using this book they will get a lot of beneficial ideas and will lead them to solve the problem related to complexity of engineering problem. ····· 10361115925

Puzzles for Brain Exercise

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Most students never learn how to think about solving problems. Throughout their education, they are constrained apply the material from each chapter to solve a few problems given at the end of each chapter (why else would a problem be at the end of the chapter ). With this type of approach to problem solving, it is not surprising that students prepared for framing and addressing real-world with instructions or textbooks. This book contents many puzzles which will ready to lend a hand for brain exercise. It also serves for the students who want to decipher many problem based on mathematical calculation, aptitude, and logic. Many university have their written test while company coming for campus placement, so this book will be obliging at that era. Puzzles are a form of play and play starts by suspending the rules of everyday life.Puzzles that are too easy are disappointing puzzles that are too hard are discouraging.So, my view that the lack of problem solving skills in general is the consequence of decreasing levels of mathematical sophistication in modern societies. Hence, we believe that a different approach is needed. ····· 10361115847

Computational Methods for Solving System of Volterra Integral Equation

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In this work the existence and uniqueness theorem for single linear Volterra integral equation has been generalized to a system of linear Volterra integral equation of the second kind. Depending on Banach fixed point theorem, some new results have been proved.Also, a Taylor series expansion has been considered to solve a system of linear Volterra integral equations of the second kind and a system of linear Volterra integro-differential equations of the second kind.In addition, three different types of iterative methods have been formulated to solve above systems. Furthermore, we derive a new iterative method named by `modified successive approximation method` to solve above systems. By this modification a faster rate of convergence for the successive method is established. Also, we proved a new theorem about the existence, uniqueness and convergence of this method. Two different kinds of weighted residual methods have been applied to treat the above systems. Moreover, the spectral method has been modified and applied for solving the above systems. ····· 10361115839

Animal Diet Formulation Using Nonlinear Programming

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Students, Professionals and Industry Personnel involved in animal diet formulation will all benefit from this approach of work.In this book, nonlinear programming and some statistical tools are used for the purpose of animal diet formulation.Objective of our nonlinear model is to maximize the weight gain of an animal and animal yield by the optimum use of nutrient ingredients. An effort has been made in this work to give a new dimension to the already existing multidimensional nonlinear models and to use it to formulate, the real world problem of optimizing the feed in terms of weight gain of the animal and milk yield and to solve it as well. This objective supports the all over effect of nutrient ingredients simultaneously on the animal yield and weight gain of an animal. This work has a great deal of future prospects as it has direct practical utility in the field of animal livestock. ····· 10361115790

Fixed Point Theory in Various Spaces

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Fixed point theory is an important and useful tool for different branches of mathematical analysis. Also, it may be discussed an essential subject of nonlinear analysis. Accordingly, in recent years many good articles and perfect surveys have regulated about fixed point theory and its application by other researcher. With this interpretation, the main objective of this monograph is to review and compare fixed point results in various spaces. For this, we consider fixed point theory and new subjects in this field for different spaces such as metric and type metric spaces, cone metric and cone metric type spaces, G-metric space, topological vector cone metric space, metric-like and partial metric spaces. ····· 10361115564

Funktsional`nyy analiz

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Funktsional`nyy analiz odna iz vershin sovremennoy matematiki, k kotoroy dolgo i trudno podbirayutsya te, kto khochet ponyat` ili, skoree, osmyslit`, uvidet` sverkhu tot put`, kotoryy oni uzhe proshli, izuchaya matematiku. Soderzhanie posobiya vklyuchaet sistematicheskoe izlozhenie vsekh moduley distsipliny `Funktsional`nyy analiz`, osnovano na obrazovatel`nom kontente, ispol`zuemom avtorom v uchebnom protsesse YuFU.Rabota prednaznachena dlya studentov fiziko matematicheskikh spetsial`nostey, a takzhe mozhet byt` polezno magistrantam i aspirantam, zanimayushchimsya problematikoy sistemnogo analiza, teoreticheskoy informatiki, iskusstvennogo intellekta, evolyutsionnykh vychisleniy, avtomatizatsii upravleniya i matematicheskogo modelirovaniya.Rabota vypolnena pri chastichnoy podderzhke granta RFFI 13-01- 00475. ····· 10361115327

Some Results in Fractional Calculus

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In this work, some new results concerning orthogonality of some trigonometric and exponential functions with respect to special weight functions have been established. Moreover, the convergence of Nishimoto fractional differintegration under certain conditions has been found. New methods for solving some kinds of fractional differential, fractional integral and fractional integrodifferential equations are deduced. Finally, eigenvalues and eigenfunctions for special eigenvalue problems are studied Abstract ····· 10361115317

Sixth-Order Parallel Splitting Method for Diffusion Equation

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In this book a sixth-order parallel splitting method is developed to get more accurate numerical solution of Parabolic Partial Differential equations. Here sixth-order approximations for second-order parabolic partial differential equations and their algorithms are developed using six parallel processors. In addition to giving a more favorable truncation error, the use of higher order approximates to the matrix exponential functions improves the stability properties of finite difference schemes yielded, which is clear in examples and results are compared. ····· 10361115280

Counting Methods for Nowhere-Zero Flows

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Flows in graphs present an important topic in modern mathematics with many applications in practice and a significant impact on many problems from discrete mathematics. Nowhere-zero flow in graphs present a dual concept for graph coloring problems. We apply methods of linear algebra for nowhere-zero flow problems. We present several results regarding the 5-flow conjecture. In particular, we give restrictions regarding cyclical edge connectivity and girth for a smallest counterexample to the conjecture. We present also application for edge-coloring of planar cubic graphs. Furthermore we present a decomposition formula for flow polynomials on graphs. The book is devoted for graduate students and researchers dealing with combinatorics. ····· 10361115266

Extending resource-aware logics

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This book introduces some extensions of resource- aware logics, and shows some fundamental (e.g., cut- elimination and completeness) theorems for these extensions. By resource-aware logics, we mean substructural logics without the structural rule of contraction in Gentzen-type sequent calculi. Typical examples of these resource-aware logics are linear logics, which are known to be useful for describing concurrent systems, and non-commutative logics, which are known to be useful for formalizing grammatical reasoning. These logics are known to be appropriate for representing resource-sensitive reasoning. In this book, we study (1) some temporal extensions (i.e., extensions by adding some temporal operators) of linear and non-commutative logics, (2) some generalizations of these temporal linear and non-commutative logics, (3) some paraconsistent and involutive extensions (i.e., extensions by adding a paraconsistent negation connective or an involution operator) of linear and non-commutative logics. ····· 10361115236

LEO to GEO transfers via L1 libration point in the RTBP

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A geosynchronous Transfer Orbit (GTO) is a type of transfer between a low Earth orbit (LEO) and the geostationary orbit (GEO). After the launch to LEO, the orbit of the spacecraft has the same inclination with respect to the equator as the latitude of the launch site on the Earth. In order to transfer to GEO the inclination must be reduced to zero. During a GTO it may happen that the spacecraft might not arrive to GEO, instead it remains in an inclined high elliptical orbit. The aim of this masters thesis is to compare, in terms of increments of velocity, possible transfers between these elliptical orbits and the geostationary orbit, using the restricted three body problem (RTBP) as the underlying mathematical model. In this situation, a spacecraft moves under the gravitational forces of two massive bodies, which at the same time describe circular orbits around their common center of mass. The RTBP has 5 equilibrium points which have been studied in the past. The results contained in this project are related to the equilibrium point L1, which lies between the two massive bodies. ····· 10361115130

Two Kinds of Multiple Half-Discrete Hilbert-Type Inequalities

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In 1908, H. Wely published the well known Hilbert s inequality. In 1925, G. H. Hardy gave an extension of it by introducing one pair of conjugate exponents. The Hilbert-type inequalities are a more wide class of analysis inequalities which are including Hardy-Hilbert s inequality as the particular case. By making a great effort of mathematicians at about one hundred years, the theory of Hilbert-type integral and discrete inequalities has now come into being. This book is a monograph about the theory of multiple half-discrete Hilbert-type inequalities. Using the methods of Real Analysis, Functional Analysis and Operator Theory, the author introduces a few independent parameters to establish two kinds of multiple half-discrete Hilbert-type inequalities with the best possible constant factors. The equivalent forms and the reverses are also considered. As applications, the author also considers some double cases of multiple half-discrete Hilbert-type inequalities and a large number of examples. For reading and understanding this book, readers should hold the basic knowledge of Real analysis and Functional analysis. ····· 10361115084

Concepts of Mathematics

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The book (Concepts of Mathematics), having four chapters on diverse topics usually included in the mathematics syllabus of the first year Engineering class of most Universities. The first chapter deals with the Number Property Theory: Divisibility rules, Property, Ratios with suitable example. A brief discussion of Trigonometry is given in the second chapter. Trigonometry chapter include various points like Trigonometric Ratios, Trigonometric Identities, ASTC Rule, Arcs, Sectors, Segments, Trigonometric Graphs, Inverse Trigonometry, Range, Domain, Graph of Sin/Cos/Tan. The third chapter deals with the Coordinate Geometry and it includes coordinate plane, distance between two point, mid point, slope of line, equation of line, transformations, shifts (horizontal and vertical), stretches. Vectors are introduced in the fourth chapter and covered vector definition, addition, subtraction, unit vector, null vector, scalar multiplication, rank, dot product. Few questions are given based on vectors for practice in the last of fourth chapter. ····· 10361115082

Development Of A Particulate Flow Simulator And Its Application

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Most of the physical phenomenon that occurs in nature or in systems engineered by humans, do not present the ideal case scenarios usually dealt with in the classrooms. Chemical industry is rich in diverse applications that have evolved overtime through human experimentation and experience and have eluded the complete understanding possible within the known boundaries of science. It is a constant endeavour of computational scientists to bring these phenomena within the reach of science and make accurate predictions of the system behaviour over an extended period into future. This treatise is one such humble attempt at bringing the ever confounding physical environment we live and interact with, into comprehension. This book is targeted towards the computational scientists working in the area of computational physics and numerical analysis. It starts with the first principles of conservation and develops a numerical technique to solve the fully transient coupled partial differential equations describing motion of solids in fluids. It also presents a simple approach to collision modeling between rigid bodies and practical application of the method in solving real life problems. ····· 10361114973

The analytical method solving the equations of mathematical physics

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The mathematical technology of the decision of linear and nonlinear regional problems is stated. On the basis of methods quasi-linearization, operational calculation and splitting on spatial variables the exact and approached analytical decisions of the equations in private derivatives of the first and second order are received. Conditions of unequivocal resolvability of a nonlinear regional problem are found and the estimation of speed of convergence of iterative process is given. On an example of trial functions results of comparison of the analytical decisions received on offered mathematical technology, with the exact decision of regional problems and with numerical decisions on known methods are resulted. For science officers and students of older years of physical and mathematical specialists. ····· 10361114941

Subordinations and Superordinations

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The studied theme in this monography is part of the geometric function theory domain. An important problem of the geometric theory of analytic functions is to study differential operators and their properties on different classes of analytic functions. A particular chapter in the differential operators study is to study the different geometric properties of some classes of analytic functions defined by these operators. The differential subordinations, superordinations, strong subordinations and strong superordinations have an important place in defining some new classes of holomorphic functions that are obtained using some generalizations of known differential operators. This monography presents the author` research regarding the differential subordinations, superordinations, strong subordinations and strong superordinations using some differential operators, obtaining new subclasses of analytic functions. This monography is addressed to researchers and graduate students for research, seminars and advanced graduate courses in complex analysis. ····· 10361114906

Nonlinear Euler-Poisson-Darboux Equations

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This book is devoted to study multidimensional linear and nonlinear partial differential equations. Among several methods to deal with higher dimensional linear partial differential equations, the elegant method of Spherical Means has spacial importance since this method reduces the higher dimensional equations to the one dimensional radial equations of Euler-Poisson-Darboux type which are well studied. Although this method is applicable only to the linear differential equations, by some special transformations, like the Cole-Hopf transformation and the Backlaund transformation, exact solutions of multidimensional nonlinear partial differential equations of the Spherical Liouville, Sine- Gordon and Burgers type are constructed. ····· 10361114870

GRADIENT TYPE METHODS FOR LARGE SCALE OPTIMIZATION

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The focus of this book is on finding the unconstrained minimizer of a function. Specifically, we will focus on the Barzilai and Borwein (BB) method that is a famous two-point stepsize gradient method. Due to BB method`s simplicity, low storage and numerical efficiency, the BB method has received a good deal of attention in the optimization community but despite all these advances, stepsize of BB method is computed by means of simple approximation of Hessian in the form of scalar multiple of identity and especially the BB method is not monotone, and it is not easy to generalize the method to general nonlinear functions. Due to the presence of these deficiencies, we introduce new gradient-type methods in the frame of BB method including a new gradient method via weak secant equation, improved Hessian approximation and scaling the diagonal updating. Our proposed methods consider approximation of Hessian in diagonal matrix. Incorporate with monotone strategies, the resulting algorithms belong to the class of monotone gradient methods with globally convergence. Numerical results suggest that for non-quadratic minimization problem, the new methods clearly outperform the BB method. ····· 10361114807

Advanced Integral Calculus

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The book offers a second course on Integral Calculus (of functions of real variables) for Graduate and Engineering students. Convergence (including uniform convergence) of improper integrals and various tests of Abel, Dirichlet and Weierstrass for the same are discussed. Improper integrals of quotient functions of various forms are evaluated. Integrations of continuous functions of 2 variables are discussed in relation with differential and integral properties of parameters in the functions. Eulerian integrals: Beta and Gamma functions, their transformation properties, relations connecting them, reflection and duplication formulae for the Gamma function and Frullani`s integral are given. Double and triple integrals giving volume and areas of surfaces are discussed in the last 3 chapters. Numerous examples are solved illustrating the methods of change of order of integration. Dirichlet`s integrals of 2nd, 3rd and pth orders are evaluated. Transfor- mations of integrals into 2 and 3-dimensional polar coordinates including Dirichlet`s and Liouville`s integrals are given. A short bibliography of the subject and an alphabetical index are added at the end. ····· 10361114759

Structural understanding in advanced mathematical thinking

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The book presents results of research on how students, future mathematics teachers, come to comprehend a piece of advanced mathematics, so called restricted arithmetic. In particular, it looks into the following questions: Do students use analogies from other familiar structures such as ordinary arithmetic To what extent do students apply their knowledge from abstract algebra How does the fact that students are working on their own piece of mathematics as opposed to being introduced to it in a transmissive way, affect their understanding The practical goal peculiar to restricted arithmetic was to look for ways of re-learning (university mathematics) knowledge, previously acquired mechanically, with understanding. This book is aimed for professionals in mathematics education, young researchers and PhD students. We hope that they can not only learn something new about students and their learning of mathematics but also find an inspiration for their own research work. ····· 10361114757

Periodic solutions of some Nonlinear Boundary Value Problems of ODE`s

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Existence of periodic solutions for higher order ordinary differential equations by the use of Leray- Schauder fixed-point technique depended mainly on the availability of suitable boundedness results. In some cases however, boundedness results were very difficult to establish because of the nature of the Lyapunov functions involved. In this thesis, existence results have been obtained using the Leray- Schauder fixed point technique and the integrated equations for the more general equations of the form : ... x + f (x ) + a1x + a2x = p (t) x(4) + g ( ... x) + b1x + b2x + b3x = p (t) x(5) + c1x(4) + h x, x , x , ... x, x(4) ... x + c2x + c3x + c4x = p (t) where f = f ( x) , g = g ( ... x) , h = h ····· 10361114612

Genetic Algorithm applied to Ambulance location

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Decision makers, mainly the health sector are constantly faced with the problem of providing the best health care service for communities, regions and provinces all around the world yet they sit on very tight budget constraints. The number of ambulances to purchase and where to locate them which is one of the difficult decisions they have to deal with can be very daunting. The ambulance location problem has been under study for a long time and a lot of approaches have been employed in solving this very sensitive location problem. This book takes a look at the application of an interesting area of optimization, Genetic Algorithms, to the location of the ambulance in Ghana`s second largest city. GA`s prove to be efficient in handling such class of optimization problems that have been around for a long time. The area is relatively new but it can be efficient in dealing with this situation. ····· 10361114492

The Proofs of Nine Unsolved Problems in Number Theory Field

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In this monograph, by using the geometric method, the author proves nine unsolved world`s baffling mathematical problems in the number theory field (contains Fermat`s Last Theorem, Goldbach Conjecture, Twin Primes Conjecture, Proposition-C, $n^2+1$ Conjecture, Riemann Hypothesis, Generalized Riemann Hypothesis, Hecke Conjecture and Euler`s Constant $gamma$). Many mathematicians and amateurs accepted the challenge of but so far inspite of repeated attempt no convincing proofs have been achieved. The author thinks that it seems the availablemathematical tools and methods are not enough to prove these conjectures and baffling problems. Hence, in order to solve these mathematical baffling problems, to create a new method is necessary. ····· 10361114478

LAGRANGE`S METHOD IN THEORY OF DIOPHANTINE EQUATIONS

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The introduction and the examination of the term derivative is a revolutionary moment in the history of mathematics. Due to this reason we pose the question: Which is the respective interpretation of this term in Number Theory This monograph answers that question. It also contains basic ideas from Theory of Differential Equations. In the first place, this is the Lagrange`s Method. Integer interpretations of basic theorems from Real Analysis have been examined. After all this, we have the opportunity to offer a proof of Fermat`s Last Theorem and some immediate generalizations. The author is married and has three children. ····· 10361114409

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