Calculus and mathematical analysis Books
Springer Real Analysis via Sequences and Series
Book SynopsisPreface.- 1. Introduction.- 2. Sequences.- 3. Series.- 4. Limits of Functions.- 5. Continuity.- 6. Differentiability.- 7. The Riemann Integral.- 8. Taylor Polynomials and Taylor Series.- 9. The Fixed Point Problem.- 10. Sequences of Functions.- Bibliography.- Index.Trade Review“The list of main topics covered is quite standard: sequences, series, limits, continuity, differentiation, Riemann integration, uniform convergence … . This is a well-written textbook with an abundance of worked examples and exercises that is intended for a first course in analysis with modest ambitions.” (Brian S. Thomson, Mathematical Reviews, March, 2016)“The authors … introduce sequences and series at the beginning and build the fundamental concepts of analysis from them. … it achieves the same goal of introducing students to mathematical rigor and basic concepts and results in real analysis. … Summing Up: Recommended. Upper-division undergraduates.” (D. Z. Spicer, Choice, Vol. 53 (5), January, 2016)“This textbook is based on the central idea that concepts such as continuity, differentiation and integration are approached via the concepts of sequences and series. … Most of the sections are followed by exercises. The textbook is recommended for a first course in mathematical analysis.” (Sorin Gheorghe Gal, zbMATH, Vol. 1325.26002, 2016)Table of ContentsPreface.- 1. Introduction.- 2. Sequences.- 3. Series.- 4. Limits of Functions.- 5. Continuity.- 6. Differentiability.- 7. The Riemann Integral.- 8. Taylor Polynomials and Taylor Series.- 9. The Fixed Point Problem.- 10. Sequences of Functions.- Bibliography.- Index.
£44.99
Springer-Verlag New York Inc. Understanding Analysis
Book SynopsisAcutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one.Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition.Trade Review“The choice of topics is a happy combination of the essential and the interesting, all truly leading to an understanding of what analysis is and what questions it addresses, aided by the author’s extraordinarily lucid exposition. … Summing Up: Highly recommended. Upper-division undergraduates.” (D. Robbins, Choice, Vol. 53 (2), October, 2015)“This is the second edition of a text for an undergraduate course in single-variable real analysis. … The topics covered in this book are the ones that have, by now, become standard for a one-semester undergraduate real analysis course … . Overall, this book represents, to my mind, the gold standard among single-variable undergraduate analysis texts.” (Mark Hunacek, MAA Reviews, June, 2015)“This is a dangerous book. Understanding Analysis is so well-written and the development of the theory so well-motivated that exposing students to it could well lead them to expect such excellence in all their textbooks. … Understanding Analysis is perfectly titled; if your students read it, that’s what’s going to happen. This terrific book will become the text of choice for the single-variable introductory analysis course; take a look at it next time you’re preparing that class.”— Steve Kennedy, MAA Reviews“Each chapter begins with a discussion section and ends with an epilogue. The discussion serves to motivate the content of the chapter while the epilogue points tantalisingly to more advanced topics. … I wish I had written this book! The development of the subject follows the tried-and-true path, but the presentation is engaging and challenging. Abbott focuses attention immediately on the topics which make analysis fascinating … and makes them accessible to an inexperienced audience.”— Scott Sciffer, The Australian Mathematical Society Gazette Table of ContentsPreface.- 1 The Real Numbers.- 2 Sequences and Series.- 3 Basic Topology of R.- 4 Functional Limits and Continuity.- 5 The Derivative.- 6 Sequences and Series of Functions.- 7 The Riemann Integral.- 8 Additional Topics.- Bibliography.- Index.
£33.24
Taylor & Francis Inc Analysis with Ultrasmall Numbers
Book SynopsisAnalysis with Ultrasmall Numbers presents an intuitive treatment of mathematics using ultrasmall numbers. With this modern approach to infinitesimals, proofs become simpler and more focused on the combinatorial heart of arguments, unlike traditional treatments that use epsilondelta methods. Students can fully prove fundamental results, such as the Extreme Value Theorem, from the axioms immediately, without needing to master notions of supremum or compactness. The book is suitable for a calculus course at the undergraduate or high school level or for self-study with an emphasis on nonstandard methods. The first part of the text offers material for an elementary calculus course while the second part covers more advanced calculus topics. The text provides straightforward definitions of basic concepts, enabling students to form good intuition and actually prove things by themselves. It does not require any additional black boxes once the initTrade Review"This book presents an alternative approach to differential and integral calculus of functions of one variable. … For readers familiar with the classical methods of mathematical analysis, this book can provide an interesting alternative view."—Zentralblatt MATH 1317"What the book does exceptionally well is explain and develop the basic notions and machinery slowly, invitingly, methodically, and enjoyably. … Numerous solved exercises make the book highly efficient in learning the nonstandard technique it advocates but also for learning the elements of calculus … the book is a well-aimed stab at the heart of the teaching of analysis and presents a very interesting nonstandard approach. Any student intrigued by the subject of nonstandard analysis will find the book to be entertaining and well-written, and to present a coherent approach at a very elementary level."—MAA Reviews, March 2015 Table of ContentsELEMENTARY ANALYSIS: Basic Concepts. Continuity and Limits. Differentiability. Elementary Integration. HIGHER ANALYSIS: Basic Concepts Revisited. Derivatives. Sequences and Series. Topology of Real Numbers. Differential Equations. Integration. Appendix. Index.
£99.75
CRC Press Measure and Integral
Book SynopsisNow considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content.Published nearly forty years after the first edition, this long-awaited Second Edition also: Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2 Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of the Fourier transform in the one-dimensional case Covers fractional integration and some topics related to mean oscillation properties of functions, such as the classes of HÃlder continuous functions and the space of functions of bounded mean oscillation Table of ContentsPreliminaries. Functions of Bounded Variation and the Riemann–Stieltjes Integral. Lebesgue Measure and Outer Measure. Lebesgue Measurable Functions. The Lebesgue Integral. Repeated Integration. Differentiation. Lp Classes. Approximations of the Identity and Maximal Functions. Abstract Integration. Outer Measure and Measure. A Few Facts from Harmonic Analysis. The Fourier Transform. Fractional Integration. Weak Derivatives and Poincaré–Sobolev Estimates.
£105.00
Taylor & Francis Inc Introduction to Analysis
Book SynopsisIntroduction to Analysis is an ideal text for a one semester course on analysis. The book covers standard material on the real numbers, sequences, continuity, differentiation, and series, and includes an introduction to proof. The author has endeavored to write this book entirely from the student's perspective: there is enough rigor to challenge even the best students in the class, but also enough explanation and detail to meet the needs of a struggling student. From the Author to the student:I vividly recall sitting in an Analysis class and asking myself, What is all of this for?' or I don't have any idea what's going on.' This book is designed to help the student who finds themselves asking the same sorts of questions, but will also challenge the brightest students.Chapter 1 is a basic introduction to logic and proofs.Informal summaries of the idea of proof provided before each result, and before a solution to Table of Contents1. Sets, Functions, and Proofs; 2. The Real Numbers; 3. Sequences and their Limits; 4. Series of Real Numbes; 5. Limits and Continuity; 6. Differentiation; 7. Sequences and Series of Functions; A List of Commonly Used Symbols; Bibliography; Index
£78.84
Taylor & Francis Inc Nonlinear Functional Analysis in Banach Spaces
Book SynopsisUncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras. The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces and algebras. The authors present several extensions of Schauder's and Krasnosel'skii's fixed point theorems to the class of weakly compact operators acting on Banach spaces and algebras, particularly on spaces satisfying the DunfordPettis property. They also address under which conditions a 2×2 block operator matrix with single- and multi-valued nonlinear entries will have a fixed point.Table of ContentsFixed Point Theory: Fundamentals. Fixed Point Theory under Weak Topology. Fixed Point Theory in Banach Algebras. Fixed Point Theory for BOM on Banach Spaces and Banach Algebras. Applications in Mathematical Physics and Biology: Existence of Solutions for Transport Equations. Exsistence of Solutions for Nonlinear Integral Equations. Two-Dimensional Boundary Value Problems.
£147.25
Taylor & Francis Inc Linear and Complex Analysis for Applications
Book SynopsisLinear and Complex Analysis for Applications aims to unify various parts of mathematical analysis in an engaging manner and to provide a diverse and unusual collection of applications, both to other fields of mathematics and to physics and engineering. The book evolved from several of the author's teaching experiences, his research in complex analysis in several variables, and many conversations with friends and colleagues. It has three primary goals: to develop enough linear analysis and complex variable theory to prepare students in engineering or applied mathematics for advanced work, to unify many distinct and seemingly isolated topics, to show mathematics as both interesting and useful, especially via the juxtaposition of examples and theorems. The book realizes these goals by beginning with reviews of Linear Algebra, Complex Numbers, and topics frTable of ContentsChapter 1. Linear algebra; Chapter 2. Complex numbers; Chapter 3. Vector analysis; Chapter 4. Complex analysis; Chapter 5. Transform methods; Chapter 6. Hilbert spaces; Chapter 7. Examples and applications; Chapter 8. Appendix: The language of mathematics; References; Index
£80.74
Taylor & Francis Inc Iterative Methods without Inversion
Book SynopsisIterative Methods without Inversion presents the iterative methods for solving operator equations f(x) = 0 in Banach and/or Hilbert spaces. It covers methods that do not require inversions of f (or solving linearized subproblems). The typical representatives of the class of methods discussed are Ulm's and Broyden's methods. Convergence analyses of the methods considered are based on Kantorovich's majorization principle which avoids unnecessary simplifying assumptions like differentiability of the operator or solvability of the equation. These analyses are carried out under a more general assumption about degree of continuity of the operator than traditional Lipschitz continuity: regular continuity.Key Features The methods discussed are analyzed under the assumption of regular continuity of divided difference operator, which is more general and more flexible than the traditional Lipschitz continuity. An attention is given toTrade Review"The book is well organised and clearly written and presents a limited but illustrative number of computational examples that are intended to provide results that can be used to validate the reader's own implementations and to give a sense of how the algorithms perform. It will be accessible to anyone who has reasonable knowledge of basic nonlinear functional analysis. Among many other positive features of the book, I especially appreciate the fact that Chapters 2-7 begin with a motivation, give numerical examples and end by stating research project(s), thus enabling and challenging interested readers to pursue further developments. The book will be very useful to graduate students and young researchers beginning their scientific careers in the field of computational mathematics and to anyone else interested in numerical analysis." - Vasile Berinde, Mathematical Reviews, August 2017 "The book is well organised and clearly written and presents a limited but illustrative number of computational examples that are intended to provide results that can be used to validate the reader's own implementations and to give a sense of how the algorithms perform. It will be accessible to anyone who has reasonable knowledge of basic nonlinear functional analysis. Among many other positive features of the book, I especially appreciate the fact that Chapters 2-7 begin with a motivation, give numerical examples and end by stating research project(s), thus enabling and challenging interested readers to pursue further developments. The book will be very useful to graduate students and young researchers beginning their scientific careers in the field of computational mathematics and to anyone else interested in numerical analysis." - Vasile Berinde, Mathematical Reviews, August 2017 Table of ContentsIntroduction. Some useful tools of the trade. Ulm’s method. Ulm’s method without derivatives. Broyden’s method. Optimal secantupdates of low rank. Optimal secant-type methods. Majorant generators and their convergence domains. Bibliography
£147.25
Taylor & Francis Inc Functional and Impulsive Differential Equations
Book SynopsisThe book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. It manifests different constructive methods by demonstrating how these techniques can be applied to investigate qualitative properties of the solutions of fractional systems. Since many applications have been included, the demonstrated techniques and models can be used in training students in mathematical modeling and in the study and development of fractional-order models.Table of ContentsIntroduction. Preliminary Notes. Qualitative Properties Definitions. Lyapunov Functions and their Fractional Derivatives. Fractional Comparison Lemmas. Stability and Boundedness. Lyapunov Stability. Theorems on Boundedness. Global Stability. Mittag-Leffler Stability. Practical Stability. Lipschitz Stability. Stability of Sets. Stability of Integral Manifolds. Almost Periodicity. Almost Periodic Solutions. Lyapunov Method for Almost Periodic Solutions. Uncertain Fractional Differential Systems. Applications. Fractional Impulsive Neural Networks. Stability and Synchronization. Almost Periodic Solutions. The Uncertain Case. Fractional Impulsive Biological Models. Lasota-Wazewska Models. Lotka-Volterra Models. Kolmogorov-type Models. Fractional Impulsive Models in Economics.
£114.00
Taylor & Francis Inc Mathematical Modeling
Book SynopsisMathematical Modeling: Branching Beyond Calculus reveals the versatility of mathematical modeling. The authors present the subject in an attractive manner and flexibley manner. Students will discover that the topic not only focuses on math, but biology, engineering, and both social and physical sciences. The book is written in a way to meet the needs of any modeling course. Each chapter includes examples, exercises, and projects offering opportunities for more in-depth investigations into the world of mathematical models. The authors encourage students to approach the models from various angles while creating a more complete understanding. The assortment of disciplines covered within the book and its flexible structure produce an intriguing and promising foundation for any mathematical modeling course or for self-study. Key Features: Chapter projects guide more thorough investigations of the models The text aimsTrade ReviewUndergraduate textbooks on calculus, differential equations, and linear algebra usually contain a few exercises per chapter that use their subject to model a phenomenon from outside mathematics—typically from physics, biology, chemistry, engineering, or economics. In a typical class, these applications do not amount to more than ten percent of class time. In this book, the authors collect modeling examples from those three areas and make them the central focus of their book. For most of the book, no new theory is covered; instead, the authors provide brief refreshers on some of the necessary theoretical concepts from calculus, differential equations, and linear algebra. The intended audience is second- or third-year students who have already taken those classes. A few exercises accompany each section, with solutions included at the end of the book. The fifth and last chapter does contain material that will be new to most mid-career undergraduates, such as Monte-Carlo simulations and the Prisoners' Dilemma. This book seems ideally suited to an undergraduate class on modeling—a class that few institutions likely offer—and may serve some as a means of independent study.--M. Bona, University of Florida Table of ContentsChapter 1: Modeling with Calculus; Exploring Extrema; Modeling with The Fundamental Theorem of Calculus; Probability Distributions; Introduction to Stochastic Processes Applications of Sequences and Series; Fibonacci and Lucas Sequences; Taylor Approximations Fourier Series and Signal Processing. Chapter 2: Modeling with Linear Algebra; Modeling with Graphs; Stochastic Models - Markov Chains; Leslie Matrices and other Matrix Models; Linear Programming; Game Theory. Chapter 3: Modeling with Programming; Simulations; Automata Models; Branching Theory. Chapter 4: Modeling with Ordinary Differential Equations; Introduction of Modeling with Differential Equations and Difference Equations; Basic Growth Models; Finding and Analyzing Equilibrium; Multiple Population Models, Coupled Systems; Epidemic Models; Models in a Variety of Fields.
£87.39
Taylor & Francis Inc Exploring Calculus
Book SynopsisThis text is meant to be a hands-on lab manual that can be used in class every day to guide the exploration of the theory and applications of differential and integral calculus. For the most part, labs can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems, technology, Mathematica R visualization, and Mathematica CDFs that allow students to discover the theory and applications of differential and integral calculus in a meaningful and memorable way.Employs Mathematica to calculate and explore concepts and theories of calculusUses engaging labs to inspire learningIncludes many applications to a variety of fields that can promote research projectsUser-friendly approach that can be used for classroom work or independent exploratory leaTable of ContentsLimits and Continuity. Derivatives and Their Applications. Areas, Integrals, and Accumulation. Applications of Antiderivatives. Mathematica Demonstrations and References.
£35.99
CRC Press Real Analysis and Foundations Textbooks in
Book SynopsisThe first three editions of this popular textbook attracteda loyal readership and widespread use. Students find the book to be concise, accessible, andcomplete. Instructors find the book to be clear, authoritative, and dependable.The goal of this new edition is to make real analysis relevant and accessibleto a broad audience of students with diverse backgrounds. Real analysis is a basic tool for all mathematical scientists, ranging from mathematicians to physicists toengineers to researchers in the medical profession. This text aims to be thegenerational touchstone for the subject and the go-to text for developing youngscientists.In this new edition we endeavor to make the book accessible to a broaderaudience. This edition includes more explanation, more elementary examples, and the author stepladders the exercises. Figures are updated and clarified. We make the sections more concise, and omit overly
£115.71
Taylor & Francis Inc A Concrete Introduction to Real Analysis
Book SynopsisA Concrete Introduction to Analysis, Second Edition offers a major reorganization of the previous edition with the goal of making it a much more comprehensive and accessible for students. The standard, austere approach to teaching modern mathematics with its emphasis on formal proofs can be challenging and discouraging for many students. To remedy this situation, the new edition is more rewarding and inviting. Students benefit from the text by gaining a solid foundational knowledge of analysis, which they can use in their fields of study and chosen professions.The new edition capitalizes on the trend to combine topics from a traditional transition to proofs course with a first course on analysis. Like the first edition, the text is appropriate for a one- or two-semester introductory analysis or real analysis course. The choice of topics and level of coverage is suitable for mathematics majors, future teachers, and students studying engineeringTrade ReviewThis is the second, revised edition of a textbook for a course that would typically follow an introductory calculus course in the standard American curriculum. The intended student readers would be those planning to continue with more advanced mathematics, or those in areas that require an understanding of mathematics from a conceptual perspective. While there are many texts with this focus, and libraries may already have several, this one is a bit different. It approaches the subject in an easy-to-read and intuitive manner, rather than in the more rigidly traditional "definition, theorem, proof" approach. It doesn’t cover as much material as some other texts, since it approaches the topics through a historical, contextual lens. Even so, a library may wish to consider this book, even if it has an existing real analysis collection. It will appeal to the student who is struggling with the structured formalism of more traditional texts. Enhancing its utility for self-study, the book includes complete solutions to half of the exercises. It contains a short bibliography, mostly of classic mathematical analysis books.--D. Z. Spicer, University System of MarylandTable of ContentsReal Numbers and Mathematical Proofs. Infinite Sequences. Infinite Series. Functions. Integrals. Variations on the Riemann Sums Theme. Taylor Series and Power Series. Appendix: Solutions to Select Problems.
£99.75
Penguin Books Ltd Math Without Numbers
Book SynopsisAn illustrated tour of the structures and patterns we call math The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be surprisingly easy to grasp. This book upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. What awaits readers is a freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject. Like the classic math allegory Flatland, first published over a century ago, or Douglas Hofstadter's Godel, Escher, Bach forty years ago, there has never been a math book quite like Math Without Numbers. So many popularizations of math have dwelt on numbers like pi or zero or infinity. This book goes well beyond to questions such as: How many shapes are there? Is anything bigger than infinity? And is math even true? Milo Beckman shows why math is mostly just pattern recognition and how it keeps on surprising us with unexpected, useful connections to the real world. The ambitions of this book take a special kind of author. An inventive, original thinker pursuing his calling with jubilant passion. A prodigy. Milo Beckman completed the graduate-level course sequence in mathematics at age sixteen, when he was a sophomore at Harvard; while writing this book, he was studying the philosophical foundations of physics at Columbia under Brian Greene, among others.
£15.20
Nova Science Publishers Inc Elementary Particles with Internal Structure in
Book SynopsisThe book represents a systematical development of several rarely used or new mathematical techniques to construct new wave equations for elementary particles. On this ground, it develops the quantum mechanics of the particles with additional electromagnetic structures in presence of external electromagnetic fields, and, on the curved space-time background, it details many new exactly solvable problems in the field. In Volume II, the wave equations for particles of spin 0, 1/2, 1 with additional intrinsic structure (such as polarizability, anomalous magnetic moment, quadrupole electric moment, DarwinCox structure) are solved for several special types of external electric and magnetic fields, in Minkowski flat space and in spaces with simple non-Euclidean geometry: hyperbolic Lobachevsky and spherical Riemann models. The main attention is focused on new and additional effects which are due to the more general structure of the wave equations in presence of external fields. The following problems are considered: reflection of spin 0 and spin 1 particles by an effective (geometrical) medium; Schrodinger and Dirac particles in electric field on the background of Lobachevsky and Riemann models (LR-models); Dirac-Kahler boson in LR-models; spinless particle with polarizability in Coulomb and magnetic fields; spin 1/2 particle with anomalous magnetic moment in homogeneous magnetic and electric fields, and in Coulomb field; spin 1 particle (ordinary and with polarizability) in external magnetic field; spin 1 particle with anomalous magnetic and quadrupole moment in magnetic and electric fields; spinless DarwinCox particle with intrinsic structure in external electric and magnetic fields in Euclid, Lobachevsky and Riemann models; fermion with two masses in presence of magnetic field.
£195.19
Trafford Publishing Introduction to Tensor Calculus and Continuum Mechanics
£29.80
Nova Science Publishers Inc Extremal Properties of Polynomials & Splines
Book SynopsisExtremal Properties of Polynomials & Splines
£135.19
Nova Science Publishers Inc Analytical & Numerical Methods for
Book SynopsisThis volume is the Proceedings of the Workshop on Analytical and Computational Methods for Convection-Dominated and Singularly Perturbed Problems, which took place in Lozenetz, Bulgaria, 27-31 August 1998. The workshop attracted about 50 participants from 12 countries. The volume includes 13 invited lectures and 19 contributed papers presented at the workshop and thus gives an overview of the latest developments in both the theory and applications of advanced numerical methods to problems having boundary and interior layers. There was an emphasis on experiences from the numerical analysis of such problems and on theoretical developments. The aim of the workshop was to provide an opportunity for scientists from the East and the West, who develop robust methods for singularly perturbed and related problems and also who apply these methods to real-life problems, to discuss recent achievements in this area and to exchange ideas with a view of possible research co-operation.
£155.99
Nova Science Publishers Inc Symbolic Calculus for Semilinear Hyperbolic
Book SynopsisThe main purpose of this book is to give a self-contained synthesis of different results in the domain of symbolic calculus of conormal singularities of semilinear hyperbolic progressing waves. The authors deal generally with real matrix valued co-efficients and with real vector valued solutions, but the complex case is similar. They consider also N x N first order systems rather than high order scalar equations, because the polarisation properties of symbols are less natural in the latter case. Moreover, although they assume generally that the real characteristics are simple, the methods can give results for symmetric or symmetrisable first order hyperbolic systems.
£999.99
Nova Science Publishers Inc Recent Trends in Numerical Analysis: Theory &
Book SynopsisThe contributions for this volume, dedicated to honour the 65th birthday of Professor I Galligani, have been numerous and cover a wide range of topics of the current Numerical Analysis and of its applications.
£999.99
International Press of Boston Inc Uniformization, Riemann-Hilbert Correspondence,
Book SynopsisThe uniformization theorem of Riemann surfaces is one of the most beautiful and important theorems in mathematics. Besides giving a clean classification of Riemann surfaces, its proof has motivated many new methods, such as the Riemann–Hilbert correspondence, Picard–Fuchs equations, and higher-dimensional generalizations of the uniformization theorem, which include Calabi–Yau manifolds.This volume consists of expository papers on the four topics in its title, written by experts from around the world, and is the first to put forth a comprehensive discussion of these topics, and of the relations between them. As such, it is valuable as an introduction for beginners, and as a reference for mathematicians in general.
£83.70
Centre for the Study of Language & Information Inference and Disputed Authorship
Book SynopsisThe 1964 publication of "Inference and Disputed Authorship" made the cover of "Time" magazine and drew the attention of academics and the public alike for its use of statistical methodology to solve one of American history's most notorious questions: the disputed authorship of the "Federalist Papers". Back in print for a new generation of readers, this classic volume applies mathematics, including the once-controversial Bayesian analysis, to the heart of a literary and historical problem by studying frequently used words in the texts. The reissue of this landmark book will be welcomed by anyone interested in the juncture of history, political science, and authorship.
£24.00
Taylor & Francis Inc Harmonic Analysis and Integral Geometry
Book SynopsisComprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress. This lively and very successful event drew the attendance of many top researchers, who offered both individual lectures and coordinated courses on specific research topics within this fast growing subject.Harmonic Analysis and Integral Geometry presents important recent advances in the fields of Radon transforms, integral geometry, and harmonic analysis on Lie groups and symmetric spaces. Several articles are devoted to the new theory of Radon transforms on trees.With its related presentations addressing recent developments in various aspects of these intriguing areas of study, Harmonic Analysis and Integral Geometry becomes an important addition not only to the Research Notes in Mathematics series, but to the general mathematics literature.Table of ContentsJohn's Equation and the Plane to Line Transform on R3. Radon Transforms on Compact Grassmann Manifolds and Invariant Differential Operators of Determinantal Type. Invariant Berezin Transforms. Integral Geometry on Hyperbolic Spaces. On Laguerre Polynomials of Two Variables. A Topological Obstruction for the Real Radon Transform. Integral Geometry in the Sphere Sd. The Distribution-Valued Horocyclic Radon Transform on Trees. The Geodesic Radon Transform on Trees. Integral Geometry on Affine Buildings. Poisson Transform on H3. Realization of a Holomorphic Discete-Series of the Lie Group SU(1,2) as Star-Representation. q-Analogue of Watanabe Unitary Transform Associated to the q-Continuous Gegenbauer Polynomials.
£161.50
Taylor & Francis Inc Fractional Cauchy Transforms
Book SynopsisPresenting new results along with research spanning five decades, Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow. The authors focus on concrete analytic questions, with functional analysis providing the general framework. After examining basic properties, the authors study integral means and relationships between the fractional Cauchy transforms and the Hardy and Dirichlet spaces. They then study radial and nontangential limits, followed by chapters devoted to multipliers, composition operators, and univalent functions. The final chapter gives an analytic characterization of the family of Cauchy transforms when considered as functions defined in the complement of the unit circle.About the authors:Rita A. Hibschweiler is a Professor in the Department of Mathematics and Statistics at the University of New Hampshire, Durham, USA.Thomas H. MacGregor is Professor Emeritus, State University of New York at Albany and a Research Associate at Bowdoin College, Brunswick, Maine, USA.\Table of ContentsIntroduction. Basic Properties of fa o. Integral Means and the Hardy and Dirichlet Spaces. Radial Limits. Zeros. Multipliers: Basic Results. Multipliers: Further Results. Composition. Univalent Functions. A Characterization of Cauchy Transforms.
£123.50
Nova Science Publishers Inc Focus on Numerical Analysis
Book SynopsisFocus on Numerical Analysis
£173.24
Nova Science Publishers Inc Neoclassical Analysis: Calculus Closer to the
Book SynopsisNeoclassical analysis extends methods of classical calculus to reflect uncertainties that arise in computations and measurements. In it, ordinary structures of analysis, that is, functions, sequences, series, and operators, are studied by means of fuzzy concepts: fuzzy limits, fuzzy continuity, and fuzzy derivatives. For example, continuous functions, which are studied in the classical analysis, become a part of the set of the fuzzy continuous functions studied in neoclassical analysis. Aiming at representation of uncertainties and imprecision and extending the scope of the classical calculus and analysis, neoclassical analysis makes, at the same time, methods of the classical calculus more precise with respect to real life applications. Consequently, new results are obtained extending and even completing classical theorems. In addition, facilities of analytical methods for various applications also become more broad and efficient.
£73.49
Nova Science Publishers Inc Numerical Simulation Research Progress
Book SynopsisNumerical simulation is the kind of simulation that uses numerical methods to quantitatively represent the evolution of a physical system. It pays much attention to the physical content of the simulation and emphasises the goal that, from the numerical results of the simulation, knowledge of background processes and physical understanding of the simulation region can be obtained. In practice, numerical simulation uses the values that can best represent the real environment. The evolution of the system also strictly obeys the physical laws that govern the real physical processes in the simulation region. Then the result of such simulation can have a good representation of the real environment. From the result of such simulation we can safely draw proper conclusions and have a good understanding of the system. This book presents leading research from around the world.
£86.99
Society for Industrial & Applied Mathematics,U.S. Discrete Convex Analysis
Book SynopsisDiscrete Convex Analysis is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics.This self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis.Table of Contents List of Figures Notation Preface Chapter 1: Introduction to the Central Concepts Chapter 2: Convex Functions with Combinatorial Structures Chapter 3: Convex Analysis, Linear Programming, and Integrality Chapter 4: M-Convex Sets and Submodular Set Functions Chapter 5: L-Convex Sets and Distance Functions Chapter 6: M-Convex Functions Chapter 7: L-Convex Functions Chapter 8: Conjugacy and Duality Chapter 9: Network Flows Chapter 10: Algorithms Chapter 11: Application to Mathematical Economics Chapter 12: Application to Systems Analysis by Mixed Matrices Bibliography Index.
£128.00
Orange Grove Books Concepts in Calculus III
£26.21
Nova Science Publishers Inc Selected Topics Of An Infinite-Dimensional
Book Synopsis
£106.49
Nova Science Publishers Inc Fractional Calculus in Analysis, Dynamics &
Book SynopsisThis book is devoted to applications of fractional calculus in classical fields of mathematics like analysis, dynamics, partial differential equations and optimal control. The first chapter deals with the notion of local fractional derivatives and its applications to the study of regularity and geometry of curves. The second chapter develops the notion of fractional embedding and fractional assymetric calculus of variations in order to find fractional Lagrangian variational structures for classical dissipative partial differential equations. In continuation of this chapter, a fractional analogue of the classical Pontryagin maximum principle is proved for discrete and continuous fractional optimal control problems. The fourth chapter gives a first mathematical model that allows a rigorous connection to be made between the dynamics of chaotic Hamiltonian systems and fractional dynamics, mixing the previous approaches of G Zaslavsky and R Hilfer. Finally, numerical methods to deal with fractional optimal control problems are discussed and implemented. All the chapters are self-contained and complete proofs are given.
£146.24
NY Research Press Advances in Mathematical Modeling and Analysis
Book Synopsis
£99.79
Murphy & Moore Publishing Fourier Transform: Algorithms and Applied
Book Synopsis
£107.42
NY Research Press Advanced Topics in Mathematical Analysis and
Book Synopsis
£115.91
Willford Press Introduction to Engineering Mathematics
Book Synopsis
£100.49
Willford Press Concepts and Applications of Fractional Calculus
Book Synopsis
£117.37
Arcler Education Inc Functional Calculus
Book SynopsisFunctional Calculus is a comprehensive book that offers readers a thorough exploration of the subject, covering fundamental concepts, techniques, and applications. By establishing a solid foundation in calculus and functional analysis, the book ensures a clear understanding of the underlying principles. With a focus on topics such as operator theory, spectral theory, and Banach spaces, readers are guided through a wide range of essential areas. Through rigorous explanations and numerous examples, the book enables readers to develop a deep comprehension of functional calculus and its practical significance in solving problems involving operators, transformations, and function spaces. This invaluable resource is tailored to students, researchers, and professionals seeking to master functional calculus and apply its principles across various disciplines in mathematics and beyond.Table of Contents Chapter 1 Introduction Chapter 2 Centrality and Shortest Path Length Measures for the Functional Analysis of Urban Drainage Networks Chapter 3 Metasurface Holographic Image Projection Based on Mathematical Properties of Fourier Transform Chapter 4 Fractional-Calculus-Based Control Scheme for Dynamical Systems With Input Uncertainty Chapter 5 Reservoir Reliability as Affected by Climate Change and Strategies for Adaptation Chapter 6 A Shotgun Approach to Explore the Bacterial Diversity and a Brief Insight into the Glycoside Hydrolases of Samiti Lake Located in the Eastern Himalayas Chapter 7 In Silico Comparative Structural and Functional analysis of Arsenite Methyltransferase from Bacteria, Fungi, Fishes, Birds, and Mammals Chapter 8 Rice Improvement Through Genome-Based Functional Analysis and Molecular Breeding in India Chapter 9 Network and Functional Analyses of Differentially Expressed Genes in Gastric Cancer Provide New Biomarkers Associated with Disease Pathogenesis Chapter 10 An Image Segmentation Method Based on Improved Regularized Level Set Model Chapter 11 Reinforcement Learning-Aided Channel Estimator in Time-Varying MIMO Systems Chapter 12 A Computational Approach to Hand Pose Recognition in Early Modern Paintings Chapter 13 Fog Computing Network Security Based on Resources Management Chapter 14 Calculus of Variations on Time Scales: Applications to Economic Models Chapter 15 Local Fractional System for Economic Order Quantity Using Entropy Solution Chapter 16 A New Model of Economic Order Quantity Associated with a Generalized Conformable Differential-Difference Operator
£148.50
Arcler Education Inc Umbral Calculus: Techniques for Pure and Applied
Book SynopsisSince 1850, mathematicians have successfully applied umbral calculus in many fields of mathematics and physics. The success of umbral calculus is due to the possibility of using techniques that have simplified the technicalities of calculations, which are usually wearisome when performed with conventional methods. Umbral Calculus: Techniques for Pure and Applied Mathematics book provides the theoretical basis and many examples of umbral calculus, including operator theory, Hermite, Frobenius-Euler, and other special polynomials, Bessel functions, and at the end, results concerning number theory within umbral calculus viewpoint.Table of Contents Section 1 Introduction to Umbral Calculus and Operator Theory Chapter 1 Q-Functions and Distributions, Operational and Umbral Methods Chapter 2 Dual Numbers and Operational Umbral MethodsSection 2 Hermite Polynomials in Umbral Calculus Chapter 3 Identities Involving 3-Variable Hermite Polynomials Arising from Umbral Method Chapter 4 Some New Identities of Bernoulli, Euler and Hermite Polynomials Arising From Umbral Calculus Chapter 5 Voigt Transform and Umbral ImageSection 3 Special Polynomials in Umbral Calculus Chapter 6 Apostol-Euler Polynomials Arising from Umbral Calculus Chapter 7 Barnes-type Peters Polynomial with Umbral Calculus Viewpoint Chapter 8 Representation by Degenerate Genocchi Polynomials Chapter 9 Sheffer Sequences of Polynomials and Their ApplicationsSection 4 Frobenius-Euler Polynomials in Umbral Calculus Chapter 10 Umbral Calculus and the Frobenius-Euler Polynomials Chapter 11 Some Identities of Frobenius-Euler Polynomials Arising from Umbral CalculusSection 5 Bessel Functions in Umbral Calculus Chapter 12 A Determinant Expression for the Generalized Bessel Polynomials Chapter 13 Integrals of Special Functions and Umbral MethodsSection 6 Number Theory and Umbral Calculus Chapter 14 Poly-Cauchy Numbers and Polynomials of the Second Kind with Umbral Calculus Viewpoint Chapter 15 Extended R-Central Bell Polynopmials with Umbral Calculus Viewpoint
£148.50
New Age International (UK) Ltd Mathematical Analysis
Book Synopsis
£42.75
New Age International (UK) Ltd Principles of Real Analysis
Book Synopsis
£33.25
Alpha Science International Ltd Integral Equations and Calculus of Variations
Book Synopsis
£31.88
Hermes Science Publishing Ltd Distributions
Book Synopsis
£103.55
ISTE Ltd and John Wiley & Sons Inc Modeling of Next Generation Digital Learning
Book SynopsisThe emergence of social networks, OpenCourseWare, Massive Open Online Courses, informal remote learning and connectivist approaches to learning has made the analysis and evaluation of Digital Learning Environments more complex. Modeling these complex systems makes it possible to transcribe the phenomena observed and facilitates the study of these processes with the aid of specific tools. Once this essential step is taken, it then becomes possible to develop plausible scenarios from the observation of emerging phenomena and dominant trends.This book highlights the contribution of complex systems theory in the study of next generation Digital Learning Environments. It describes a realistic approach and proposes a range of effective management tools to achieve it.Table of Contents 1. A Virtual Learning Environment seen as a System of Instrumented Activities. 2. Modeling Instrumented Activity at the Heart of the Virtual Environment. 3. Models of Instrumented Activity Challenged by Technopedagogical Innovations. 4. The Digital Learning Environment in the Paradigm of Systemic Complexity Modeling. 5. Modeling a DLE Perceived as a Complex System. 6. Modeling and Simulation of an MOOC: Practical Point.
£125.06
ISTE Ltd and John Wiley & Sons Inc Data Analysis and Related Applications, Volume 2:
Book SynopsisThe scientific field of data analysis is constantly expanding due to the rapid growth of the computer industry and the wide applicability of computational and algorithmic techniques, in conjunction with new advances in statistical, stochastic and analytic tools. There is a constant need for new, high-quality publications to cover the recent advances in all fields of science and engineering. This book is a collective work by a number of leading scientists, computer experts, analysts, engineers, mathematicians, probabilists and statisticians who have been working at the forefront of data analysis and related applications. The chapters of this collaborative work represent a cross-section of current concerns, developments and research interests in the above scientific areas. The collected material has been divided into appropriate sections to provide the reader with both theoretical and applied information on data analysis methods, models and techniques, along with related applications.Table of ContentsPreface xvKonstantinos N ZAFEIRIS, Yiannis DIMOTIKALIS, Christos H SKIADAS, Alex KARAGRIGORIOU and Christiana KARAGRIGORIOU-VONTA Part 1 1 Chapter 1 A Topological Clustering of Variables 3Rafik ABDESSELAM 1.1 Introduction 3 1.2 Topological context 5 1.3 Topological clustering of variables -- selective review 9 1.4 Illustration on real data of simple examples 10 1.5 Conclusion 19 1.6 Appendix 20 1.7 References 23 Chapter 2 A New Regression Model for Count Compositions 25Roberto ASCARI and Sonia MIGLIORATI 2.1 Introduction 25 2.1.1 Distributions for count vectors 26 2.2 Regression models and Bayesian inference 29 2.3 Simulation studies 30 2.4 Application to real electoral data 34 2.5 References 37 Chapter 3 Intergenerational Class Mobility in Greece with Evidence from EU-SILC 39Glykeria STAMATOPOULOU, Maria SYMEONAKI and Catherine MICHALOPOULOU 3.1 Introduction 39 3.2 Data and methods 41 3.3 The trends of class mobility between different birth cohorts 45 3.4 Conclusion 52 3.5 References 52 Chapter 4 Capturing School-to-Work Transitions Using Data from the First European Graduate Survey 55Maria SYMEONAKI, Glykeria STAMATOPOULOU and Dimitris PARSANOGLOU 4.1 Introduction 55 4.2 Data and methodology 57 4.3 Results 58 4.4 Conclusion 63 4.5 References 64 Chapter 5 A Cluster Analysis Approach for Identifying Precarious Workers 67Maria SYMEONAKI, Glykeria STAMATOPOULOU and Dimitris PARSANOGLOU 5.1 Introduction 67 5.2 Data and methodology 68 5.3 Results 70 5.4 Conclusion and discussion 74 5.5 References 75 Chapter 6 American Option Pricing Under a Varying Economic Situation Using Semi-Markov Decision Process 77Kouki TAKADA, Marko DIMITROV, Lu JIN and Ying NI 6.1 Introduction 77 6.2 American option pricing 79 6.3 Exercising strategies 80 6.4 Conclusion 89 6.5 References 89 Chapter 7 The Implementation of Hierarchical Classifications and Cochran’s Rule in the Analysis of Social Data 91Aggeliki YFANTI and Catherine MICHALOPOULOU 7.1 Introduction 91 7.2 Methods 95 7.3 Results 96 7.4 Conclusion 101 7.5 References 102 Chapter 8 Dynamic Optimization with Tempered Stable Subordinators for Modeling River Hydraulics 105Hidekazu YOSHIOKA and Yumi YOSHIOKA 8.1 Introduction 105 8.2 Mathematical model 108 8.3 Optimization problem 109 8.4 HJBI equation: formulation and solution 111 8.5 Concluding remarks 115 8.6 Acknowledgments 116 8.7 References 116 Part 2 119 Chapter 9 Predicting Event Counts in Event-Driven Clinical Trials Accounting for Cure and Ongoing Recruitment 121Vladimir ANISIMOV, Stephen GORMLEY, Rosalind BAVERSTOCK and Cynthia KINEZA 9.1 Introduction 122 9.2 Modeling the process of event occurrence 123 9.3 Predicting event counts for patients at risk 127 9.4 Predicting event counts accounting for ongoing recruitment 129 9.5 Monte Carlo simulation 133 9.6 Software development 133 9.7 R package and implementation in a clinical trial 138 9.8 Conclusion 140 9.9 References 141 Chapter 10 Structural Modeling: An Application to the Evaluation of Ecosystem Practices at the Plot Level 143Dominique DESBOIS 10.1 Introduction 143 10.2 Structural equation modeling using partial least squares 144 10.3 Material and method 150 10.4 Results and discussion 154 10.5 Conclusion 161 10.6 References 161 Chapter 11 Lean Management as an Improvement Factor in Health Services -- The Case of Venizeleio General Hospital of Crete, Greece 163Eleni GENITSARIDI and George MATALLIOTAKIS 11.1 Introduction 164 11.2 Theoretical framework 164 11.3 Purpose of the research 168 11.4 Methodology 168 11.5 Research results 168 11.6 Conclusion 175 11.7 References 176 Chapter 12 Motivation and Professional Satisfaction of Medical and Nursing Staff of Primary Health Care Structures (Urban and Regional Health Centers) of the Prefecture of Heraklion, Under the Responsibility of the 7th Ministry 179Mihalis KYRIAKAKIS and George MATALLIOTAKIS 12.1 Introduction 180 12.2 Methodology and material 180 12.3 Results 182 12.4 Discussion 194 12.5 Conclusion 196 12.6 References 197 Chapter 13 Developing a Bibliometric Quality Indicator for Journals Applied to the Field of Dentistry Pilar VALDERRAMA, Ana M AGUILERA and Mariano J VALDERRAMA 13.1 Introduction 199 13.2 Methodology 200 13.3 Discussion and conclusion 206 13.4 Acknowledgments 207 13.5 Appendix 208 13.6 References 210 Chapter 14 Statistical Process Monitoring Techniques for Covid-19 211Emmanouil-Nektarios KALLIGERIS and Andreas MAKRIDES 14.1 Introduction 211 14.2 Materials and methods 212 14.3 Behavior of Covid-19 disease in the Mediterranean region 214 14.4 Conclusion 218 14.5 Acknowledgments 221 14.6 References 221 Part 3 223 Chapter 15 Increase of Retirement Age and Health State of Population in Czechia 225Tomás FIALA, Jitka LANGHAMROVÁ and Jana VRABCOVÁ 15.1 Introduction 225 15.2 Data and methodological remarks 227 15.3 Statutory retirement age 228 15.4 Development of the state of health of population 230 15.5 Development of the state of health of population in productive and post-productive ages 232 15.6 Conclusion 234 15.7 Acknowledgment 235 15.8 References 235 Chapter 16 A Generalized Mean Under a Non-Regular Framework and Extreme Value Index Estimation 237M IVETTE GOMES, Lígia HENRIQUES-RODRIGUES and Dinis PESTANA 16.1 Introduction 237 16.2 Preliminary results in the area of EVT for heavy tails and asymptotic behavior of MOp functionals 239 16.3 Finite-sample behavior of MOp functionals 243 16.4 A non-regular adaptive choice of p and k 247 16.5 Concluding remarks 248 16.6 References 248 Chapter 17 Demography and Policies in V4 Countries 251Michaela KADLECOVÁ, Filip HON and Jitka LANGHAMROVÁ 17.1 Introduction 251 17.2 Demographic development in the V4 countries 252 17.3 Development of fertility and family policy 255 17.4 Pension systems of the Visegrad Four countries 258 17.5 Prediction of future development of V4 populations 261 17.6 Conclusion 265 17.7 Acknowledgments 266 17.8 References 267 Chapter 18 Decomposing Differences in Life Expectancy with and without Disability: The Case of Czechia 271David MORÁVEK, Tomás BELOCH and Jitka LANGHAMROVÁ 18.1 Introduction 271 18.2 Methodology and data 273 18.3 Main results 276 18.4 Conclusion 281 18.5 Acknowledgments 282 18.6 References 283 Chapter 19 Assessing the Predictive Ability of Subjective Survival Probabilities 285Apostolos PAPACHRISTOS and Georgia VERROPOULOU 19.1 Introduction 285 19.2 Methods 286 19.3 Results 292 19.4 Discussion 297 19.5 Conclusion 298 19.6 Acknowledgments 298 19.7 References 299 Chapter 20 Exploring Excess Mortality During the Covid-19 Pandemic with Seasonal ARIMA Models 303Karl-Heinz JÖCKEL and Peter PFLAUMER 20.1 Introduction 304 20.2 Binomial mortality model and the empirical distribution of daily deaths in Germany 305 20.3 Non-seasonal ARIMA model for weekly data in Germany 307 20.4 Seasonal ARIMA models of weekly deaths for Spain, Germany and Sweden 311 20.5 Measuring excess mortality, especially in Spain, Germany and Sweden 322 20.6 Forecasting daily deaths in Germany 324 20.7 Conclusion 330 20.8 Appendix 331 20.8.1 Estimation results of the other age classes 331 20.8.2 Time series decomposition 332 20.9 References 334 Chapter 21 The Impact of Cesarean Section on Neonatal Mortality in Rural--Urban Divisions in a Region of Brazil 337Carlos SANTOS and Neir PAES 21.1 Introduction 338 21.2 Materials and methods 339 21.2.1 Multilevel logistic model 340 21.3 Results and discussion 341 21.4 Conclusion 345 21.5 References 346 Chapter 22 Analysis of Alcohol Policy in Czechia: Estimation of Alcohol Policy Scale Compared to EU Countries 349Kornélia SVACINOVÁ, Markéta Majerová PECHHOLDOVÁ and Jana VRABCOVÁ 22.1 Introduction 350 22.2 Literature review 351 22.3 Methods 352 22.4 Results 354 22.5 Discussion 359 22.6 Conclusion 360 22.7 Acknowledgment 360 22.8 References 360 Chapter 23 Alcohol-Related Mortality and Its Cause-Elimination in Life Tables in Selected European Countries and USA: An International Comparison 363Jana VRABCOVÁ, Markéta Majerová PECHHOLDOVÁ and Kornélia SVACINOVÁ 23.1 Introduction 364 23.2 Data and methods 365 23.3 Alcohol consumption in European countries by the OECD 367 23.4 Czechia 369 23.5 Poland 369 23.6 Belarus 371 23.7 Russia 371 23.8 France 371 23.9 USA 371 23.10 Conclusion 374 23.11 Acknowledgment 375 23.12 References 375 Chapter 24 Labor Force Aging in the Czech Republic: The Role of Education and Economic Industry 377Martina SIMKOVA and Jaroslav SIXTA 24.1 Introduction 377 24.2 The setting of the statutory retirement age 378 24.3 The economic status of elderly workers 379 24.4 The structure of working people by factors 380 24.5 The change in the number of workers 382 24.6 Conclusion 385 24.7 Acknowledgment 385 24.8 References 386 List of Authors 387 Index 393 Summary of Volume 1 395
£112.50
World Scientific Europe Ltd From Bessel To Multi-index Mittag-leffler
Book SynopsisBessel and Mittag-Leffler functions are prominent within mathematical and scientific fields due to increasing interest in non-conventional models within applied mathematics. Since the analytical solutions of many differential and integral equations of arbitrary order can be written as series of special functions of fractional calculus, they are now unavoidable tools for handling various mathematical models of integer or fractional order. From Bessel to Multi-Index Mittag-Leffler Functions analyzes this through the study of enumerable families of different classes of special functions.Enumerable families are considered and the convergence of series is investigated. Providing a unified approach to the classical power series, analogues of the classical results for the power series are obtained, and the conclusion is that each of the considered series has a similar convergence behavior to a power series. Also studied are various properties of the Bessel and Mittag-Leffler functions and their generalizations, including estimations, asymptotic formulae, fractional differentiation and integration operators.Table of ContentsPreface; Acknowledgments; Introduction; Bessel Functions and Associated with Them; Generating Functions of the Bessel and Associated Bessel Functions; Convergence of Bessel Series; Bessel and Neumann Expansions; Completeness of Systems of Bessel and Associated Bessel Functions; Multi-Index Bessel Functions; Mittag-Leffler Type Functions; Latest Generalizations of Both the Bessel and Mittag-Leffler Type Functions; Series in Mittag-Leffler Type Functions; Bibliography; Index;
£80.75
World Scientific Europe Ltd Analysis And Mathematical Physics
Book SynopsisThis is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative differential geometry, differential geometry and mathematical physics, mathematical problems of general relativity, and special functions of mathematical physics.Analysis and Mathematical Physics is the sixth volume of the LTCC Advanced Mathematics Series. This series is the first to provide advanced introductions to mathematical science topics to advanced students of mathematics. Edited by the three joint heads of the London Taught Course Centre for PhD Students in the Mathematical Sciences (LTCC), each book supports readers in broadening their mathematical knowledge outside of their immediate research disciplines while also covering specialized key areas.
£76.95
World Scientific Europe Ltd Genericity In Polynomial Optimization
Book SynopsisIn full generality, minimizing a polynomial function over a closed semi-algebraic set requires complex mathematical equations. This book explains recent developments from singularity theory and semi-algebraic geometry for studying polynomial optimization problems. Classes of generic problems are defined in a simple and elegant manner by using only the two basic (and relatively simple) notions of Newton polyhedron and non-degeneracy conditions associated with a given polynomial optimization problem. These conditions are well known in singularity theory, however, they are rarely considered within the optimization community.Explanations focus on critical points and tangencies of polynomial optimization, Hölderian error bounds for polynomial systems, Frank-Wolfe-type theorem for polynomial programs and well-posedness in polynomial optimization. It then goes on to look at optimization for the different types of polynomials. Through this text graduate students, PhD students and researchers of mathematics will be provided with the knowledge necessary to use semi-algebraic geometry in optimization.
£69.35
World Scientific Publishing Company Introduction To The Calculus Of Variations 4th
Book Synopsis
£108.00
