Differential calculus and equations Books
Legare Street Press Remarks on Strongly Elliptic Partial Differential Equations
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£22.75
Legare Street Press The The Solution of a Certain Nonlinear RiemannHilbert Problem With an Application
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£21.80
Legare Street Press A A Random Choice Finitedifference Scheme for Hyperbolic Conservation Laws
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£22.75
Legare Street Press Ordinary Differential Equations With an Introduction to Lies Theory of the Group of one Parameter
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£24.65
Legare Street Press A Treatise on Linear Differential Equations
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£30.35
Legare Street Press Similarity Solutions of Systems of Partial Differential Equations Using MACSYMA
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£21.80
Legare Street Press Nonlinear Boundary Value Problems for the Circular Membrane
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£21.80
Legare Street Press Hills Equation. Part I. General Theory
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£21.80
Legare Street Press Regular Points of Linear Differential Equations of the Second Order
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Legare Street Press The The Differential Equations of Dynamics ... Volume 1
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£21.80
Legare Street Press Über Die Partielle DifferentialGleichung DeltaVK V
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£26.55
Legare Street Press Theorie Der Linearen Differenzengleichungen
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£25.60
Legare Street Press Theory of Differential Equation
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£30.35
Legare Street Press Handbuch der Theorie der Linearen Differentialgleichungen Zweiter Band
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£29.40
Legare Street Press Sur Lintégration Des Équations Différentielles Linéaires
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£22.75
Creative Media Partners, LLC Sammlung von mathematischen namentlich von Differential und Integral Formeln. Zweite unveränderte Ausgabe.
£18.86
Creative Media Partners, LLC Stability of two Dimensional Immiscible Flow to Viscous Fingering
£21.80
Creative Media Partners, LLC Stability of two Dimensional Immiscible Flow to Viscous Fingering
£13.22
Creative Media Partners, LLC A Note on the Integral Equation of the First Kind With a Cauchy Kernel
£21.80
Creative Media Partners, LLC Greens Function Techniques for the Solution of Timedependant Potential Flows With a Free Surface in a Bounded Domain
£13.22
Creative Media Partners, LLC Central Forces
£22.75
Creative Media Partners, LLC Central Forces
£14.09
Creative Media Partners, LLC Ueber gewöhnliche lineare Differentialgleichungen No.21
£22.75
Creative Media Partners, LLC Dynamic Response of a Collidant Impacting a Low Pressure Airbag
£23.70
Creative Media Partners, LLC Dynamic Response of a Collidant Impacting a Low Pressure Airbag
£13.95
Creative Media Partners, LLC Stability Domains in Nonlinear Point Reactor Dynamics
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Creative Media Partners, LLC Stability Domains in Nonlinear Point Reactor Dynamics
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Lulu Press Ordinary Differential Equations
£12.35
Springer New York Nodal Discontinuous Galerkin Methods Algorithms Analysis and Applications 54 Texts in Applied Mathematics
Book SynopsisThis book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations.Trade ReviewFrom the reviews: "This book provides comprehensive coverage of the major aspects of the DG-FEM, from derivation, analysis and implementation of the method to simulation of application problems. It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics and engineering." -Mathematical Reviews "The book under review presents basic ideas, theoretical analysis, MATLAB implementation and applications of the DG-FEM. … The representative references quoted are useful for any reader interested in applying the method in a particular area. … This book provides comprehensive coverage of the major aspects of the DG-FEM … . It is a highly valuable volume in the literature on the DG-FEM. It is also suitable as a textbook for a graduate-level course for students in computational and applied mathematics, physics, and engineering." (Weimin Han, Mathematical Reviews, Issue 2008 k) "This book is intended to offer a comprehensive introduction to, and an efficient implementation of discontinuous Galerkin finite element methods … . Each chapter of the book is largely self-contained and is complemented by adequate exercises. … The style of writing is clear and concise … . is an exceptionally complete and accessible reference for graduate students, researchers, and professionals in applied mathematics, physics, and engineering. It may be used in graduate-level courses, as a self-study resource, or as a research reference." (Marius Ghergu, Zentralblatt MATH, Vol. 1134 (12), 2008)Table of ContentsThe key ideas.- Making it work in one dimension.- Insight through theory.- Nonlinear problems.- Beyond one dimension.- Higher-order equations.- Spectral properties of discontinuous Galerkin operators.- Curvilinear elements and nonconforming discretizations.- Into the third dimension.
£62.99
Springer New York Introduction to Nonlinear Dispersive Equations Universitext
Book SynopsisThis textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation.Trade Review“This is the second edition of a self-contained graduate level introduction to the results and methods in the well-posedness theory for initial-value problems of nonlinear dispersive equations with special focus on the nonlinear Schrödinger and Korteweg de Vries equations. … I strongly welcome this updated version and I can only recommend it warmly to anybody (both students and teachers) interested in this central area of analysis.” (G. Teschl, Monatshefte für Mathematik, Vol. 180, 2016)Table of Contents1. The Fourier Transform.- 2. Interpolation of Operators.- 3. Sobolev Spaces and Pseudo-Differential Operators.- 4. The Linear Schrodinger Equation.- 5. The Non-Linear Schrodinger Equation.- 6. Asymptotic Behavior for NLS Equation.- 7. Korteweg-de Vries Equation.- 8. Asymptotic Behavior for k-gKdV Equations.- 9. Other Nonlinear Dispersive Models.- 10. General Quasilinear Schrodinger Equation.- Proof of Theorem 2.8.- Proof of Lemma 4.2.- References.- Index.
£44.99
Springer New York Stochastic Calculus and Applications
Book SynopsisCompletely revised and greatly expanded, the new edition of this text takes readers who have been exposed to only basic courses in analysis through the modern general theory of random processes and stochastic integrals as used by systems theorists, electronic engineers and, more recently, those working in quantitative and mathematical finance.Trade Review“As supplementary reading for a second course or as s comprehensive (!) resource for the general theory of processes aimed at Ph. D. students and scholars, this second edition will stay a valuable resource.” (René L. Schilling, Mathematical Reviews, October, 2016)“This is a fundamental book in modern stochastic calculus and its applications: rich contents, well structured material, comprehensive coverage of all significant results given with complete proofs and well illustrated by examples, carefully written text. Hence, there are more than enough reasons to strongly recommend the book to a wide audience. Among them, there are good and motivated graduate university students. … Also, the book is an excellent reference book.” (Jordan M. Stoyanov, zbMATH 1338.60001, 2016)Table of ContentsPart I: Measure Theoretic Probability.- Measure Integral.- Probabilities and Expectation.- Part II: Stochastic Processes.- Filtrations, Stopping Times and Stochastic Processes.- Martingales in Discrete Time.- Martingales in Continuous Time.- The Classification of Stopping Times.- The Progressive, Optional and Predicable -Algebras.- Part III: Stochastic Integration.- Processes of Finite Variation.- The Doob-Meyer Decomposition.- The Structure of Square Integrable Martingales.- Quadratic Variation and Semimartingales.- The Stochastic Integral.- Random Measures.- Part IV: Stochastic Differential Equations.- Ito's Differential Rule.- The Exponential Formula and Girsanov's Theorem.- Lipschitz Stochastic Differential Equations.- Markov Properties of SDEs.- Weak Solutions of SDEs.- Backward Stochastic Differential Equations.- Part V: Applications.- Control of a Single Jump.- Optimal Control of Drifts and Jump Rates.- Filtering. Part VI: Appendices.
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Createspace Independent Publishing Platform Ordinary Differential Equations: An introduction, with applications and exercises
£13.40
Springer Nature Switzerland AG Unpublished Manuscripts: from 1951 to 2007
Book SynopsisThis book presents, for the first time, the unpublished manuscripts of Lars Hörmander, written between 1951 and 2007. Hörmander himself organised the manuscripts and also wrote the notes explaining their origins, presenting the material in the form he fully intended it to be published in. As his daughter, Sofia Broström, mentions in the Foreword, towards the end of his life, Hörmander "carefully went through his unpublished manuscripts, checking and revising each of them with his very critical eye, deciding what should be kept for posterity and what should be thrown out". He also compiled the complete bibliography of all his published mathematical works that is included at the end of the present book. Of both historical and mathematical value, the contents of this book will undoubtedly inspire mathematicians of different horizons.Table of ContentsForeword.- Origin of the manuscripts.- 25 Unpublished Manuscripts of L Hörmander.- Short Autobiography.- Looking forward from ICM 1962.- Complete Mathematical Bibliography of Lars Hörmander.- Published Articles.- Published Books.- Lecture Notes.
£71.24
Springer Nature Switzerland AG Inverse Acoustic and Electromagnetic Scattering
Book SynopsisThe inverse scattering problem is central to many areas of science and technology such as radar, sonar, medical imaging, geophysical exploration and nondestructive testing. This book is devoted to the mathematical and numerical analysis of the inverse scattering problem for acoustic and electromagnetic waves. In this fourth edition, a number of significant additions have been made including a new chapter on transmission eigenvalues and a new section on the impedance boundary condition where particular attention has been made to the generalized impedance boundary condition and to nonlocal impedance boundary conditions. Brief discussions on the generalized linear sampling method, the method of recursive linearization, anisotropic media and the use of target signatures in inverse scattering theory have also been added.Table of ContentsIntroduction.- The Helmholtz Equation.- Direct Acoustic Obstacle Scattering.- Ill-Posed Problems.- Inverse Acoustic Obstacle Scattering.- The Maxwell Equations.- Inverse Electromagnetic Obstacle Scattering.- AcousticWaves in an Inhomogeneous Medium.- ElectromagneticWaves in an Inhomogeneous Medium.- Transmission Eigenvalues.- The Inverse Medium Problem.
£104.49
Springer Nature Switzerland AG Geometric Singular Perturbation Theory Beyond the Standard Form
Book SynopsisThis volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT). It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by specific examples of biochemical reaction networks, electronic circuit and mechanic oscillator models and advection-reaction-diffusion models, all with an inherent non-uniform scale splitting, which identifies these examples as singular perturbation problems beyond the standard form. The contents cover a general framework for this GSPT beyond the standard form including canard theory, concrete applications, and instructive qualitative models. It contains many illustrations and key pointers to the existing literature. The target audience are senior undergraduates, graduate students and researchers interested in using the GSPT toolbox in nonlinear science, either from a theoretical or an application point of view. Martin Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney, Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems with multiple time-scales.Table of ContentsIntroduction.- Motivating examples.- A coordinate-independent setup for GSPT.- Loss of normal hyperbolicity.- Relaxation oscillations in the general setting.- Pseudo singularities & canards.- What we did not discuss.
£54.99
Springer Nature Switzerland AG Einführung in die mathematische Behandlung der
Book SynopsisDieses Lehrbuch ist ein idealer Begleitband für eine vierstündige Vorlesung mit Übungen für angehende Naturwissenschaftlerinnen und Naturwissenschaftler, kann aber auch für eine Einführungsvorlesung in die höhere Mathematik in anderen Disziplinen eingesetzt werden. Aufbauend auf Vorkenntnissen aus dem Gymnasium werden zunächst die wichtigsten Begriffe nochmals repetiert. Im Hauptteil werden Vektoren, Differential- und Integralrechnung sowie Differentialgleichungen eingeführt und ausführlich behandelt. Abschließend wird auf Funktionen mehrerer Variablen eingegangen. Zahlreiche Übungsaufgaben mit Lösungen zu jedem Kapitel helfen, den Stoff zu festigen. Neben den Erklärungen für alle Leserinnen und Leser werden in speziell markierten Teilen weiterführende Fragen vertieft behandelt, welche nicht zwingend für das Verständnis notwendig sind, aber interessante Einblicke geben. Das Buch und Übungskonzept ist eine weitgehend überarbeitete Neuausgabe des Texts einer über ein Jahrzehnt erfolgreich gelehrten Vorlesung.Table of ContentsA. Vektorrechnung.- 1. Vektoren und ihre geometrische Bedeutung.- 2. Vektorrechnung mit Koordinaten.- B. Differentialrechnung.- 3. Beispiele zum Begriff der Ableitung.- 4. Die Ableitung.- 5. Technik des Differenzierens.- 6. Anwendungen der Ableitung.- 7. Linearisierung und das Differential.- 8. Die Ableitung einer Vektorfunktion.- C. Integralrechnung.- 9. Einleitende Beispiele zum Begriff des Integrals.- 10. Das bestimmte Integral.- 11. Der Hauptsatz der Differential- und Integralrechnung.- 12. Stammfunktionen und das unbestimmte Integral.- 13. Weitere Integrationsmethoden.- 14. Integration von Vektorfunktionen.- D. Differentialgleichungen.- 15. Der Begriff der Differentialgleichung.- 16. Einige Lösungsmethoden.- E. Ausbau der Infinitesimalrechnung.- 17. Umkehrfunktionen.- 18. Einige wichtige Funktionen und ihre Anwendungen.- 19. Potenzreihen.- 20. Uneigentliche Integrale.- 21. Numerische Methoden.- F. Funktionen von Mehreren Variablen.- 22. Allgemeines über Funktionen von mehreren Variablen.- 23. Differentialrechnung von Funktionen von mehreren Variablen.- 24. Das totale Differential.- 25. Mehrdimensionale Integrale.- G. Anhang.- 26. Zusammenstellung einiger Grundbegriffe.- 27. Einige Ergänzungen.- 28. Lösungen der Aufgaben.
£27.99
Springer Nature Switzerland AG Mean Field Games: Cetraro, Italy 2019
Book SynopsisThis volume provides an introduction to the theory of Mean Field Games, suggested by J.-M. Lasry and P.-L. Lions in 2006 as a mean-field model for Nash equilibria in the strategic interaction of a large number of agents. Besides giving an accessible presentation of the main features of mean-field game theory, the volume offers an overview of recent developments which explore several important directions: from partial differential equations to stochastic analysis, from the calculus of variations to modeling and aspects related to numerical methods. Arising from the CIME Summer School "Mean Field Games" held in Cetraro in 2019, this book collects together lecture notes prepared by Y. Achdou (with M. Laurière), P. Cardaliaguet, F. Delarue, A. Porretta and F. Santambrogio.These notes will be valuable for researchers and advanced graduate students who wish to approach this theory and explore its connections with several different fields in mathematics.Table of Contents- An Introduction to Mean Field Game Theory. - Lecture Notes on Variational Mean Field Games. - Master Equation for Finite State Mean Field Games with Additive Common Noise. - Mean Field Games and Applications: Numerical Aspects.
£37.49
Springer Nature Switzerland AG Kernel Mode Decomposition and the Programming of Kernels
Book SynopsisThis monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework.Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes.It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.Table of ContentsIntroduction.- Review.- The mode decomposition problem.- Kernel mode decomposition networks (KMDNets).- Additional programming modules and squeezing.- Non-trigonometric waveform and iterated KMD.- Unknown base waveforms.- Crossing frequencies, vanishing modes, and noise.- Appendix.
£59.99
Springer Nature Switzerland AG A Generalization of Bohr-Mollerup's Theorem for Higher Order Convex Functions
Book SynopsisIn 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function.This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization.The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.Table of ContentsPreface.- List of main symbols.- Table of contents.- Chapter 1. Introduction.- Chapter 2. Preliminaries.- Chapter 3. Uniqueness and existence results.- Chapter 4. Interpretations of the asymptotic conditions.- Chapter 5. Multiple log-gamma type functions.- Chapter 6. Asymptotic analysis.- Chapter 7. Derivatives of multiple log-gamma type functions.- Chapter 8. Further results.- Chapter 9. Summary of the main results.- Chapter 10. Applications to some standard special functions.- Chapter 11. Definining new log-gamma type functions.- Chapter 12. Further examples.- Chapter 13. Conclusion.- A. Higher order convexity properties.- B. On Krull-Webster's asymptotic condition.- C. On a question raised by Webster.- D. Asymptotic behaviors and bracketing.- E. Generalized Webster's inequality.- F. On the differentiability of \sigma_g.- Bibliography.- Analogues of properties of the gamma function.- Index.
£26.24
Springer Recent Stability Issues for Linear Dynamical
Book Synopsis
£59.99
Springer New Trends in the Applications of Differential Equations in Sciences
Book SynopsisPart1.Applications in Mathematical Physics.- Ground states of Schrödinger-Poisson-Slater equations with linear non-local terms.- Interpolation of Sobolev spaces for Laplace operator with contact interaction.-Exact travelling wave solutions to several fully nonlinear PDE and radial solutions of boundary value problem to the Liouville equation in circular domains in the plane.- Recent developments in the methodology of the Simple Equations Method (SEsM) for obtaining exact solutions of nonlinear differential equations.- Forward stability conditions and applications.- Exact solutions of the Troesch's problem.- Pavlina Atanasova, Valentin Georgiev, On the special cases of the Jacobi elliptic function solutions of the (2+1)-dimensional Sine-Gordon equation.- An application of the method of simplest equation for exact real solutions of the model for spatial - time interaction of populations.- A characterization of the K-functional for the algebraic version of the trigonometric Jackson integrals Gs,n in generalized weighted integral metric.- Mixed semicontinuous fully nonlinear evolution inclusions.- Nonlinear waves in the diffusion-advection-reaction model of interacting populations incorporating nonlocal effects and long range diffusion.- Physic informed neural networks for solving nonstandard initial-boundary value problem for second order hyperbolic equation.- Approximate solution of the optimal control problem with the Hukuhara derivative equation with rapidly fluctuating coefficients on a finite interval.- Travelling wave solutions of the Wu-Zhang system of PDE.- Physics informed neural networks for solving predator-prey models.- Part2. Applications in Mechanics.- On nonlinear waves in microtubules generated by means of a linear simple equation.- On a mathematical model describing pollution processes in a channel.- On nonlinear waves in microtubules generated by means of simple equation of Bernoulli kind.- Analysis of non-periodic buckling in an axisymmetric thin uniform shell.- On nonlinear waves in microtubules.- An education facility for design and mathematical modeling of 4 bar linkage mechanism.- Part3. Applications in Numerical Methods and Computer Science.- An improved interpolation error estimate from a new Taylor-like formula: Application to finite element method.- Mixed finite element method applied to sixth-order eigenvalue problem.- Advanced unbiased Monte Carlo for multidimensional Fredholm integral equations.- Novel stochastic sequences for multidimensional air pollution modelling.- Advanced stochastic method for linear algebraic systems.- Stochastic approaches for the mutidimensional Volterra integral equation.- Numerical analysis of a difference scheme family for solving semilinear hyperbolic PDEs.- Numerical solution of switched systems with delay.- Part4. Applications in Financial Mathematics.- Multicriteria optimization approach for investment project financing evaluation and decision making.- Application of weighted t-tests for loss-given-default forecasts validation.- A comparison of deep neural network and convolutional neural network for credit card fraud detection.- Studying the dependency between household income and consumption of basic food commodities in Bulgaria.- Accurate lattice-based models for pricing European options.- Advanced Monte Carlo optimizations for multidimensional European style options.- Part5. Applications in Mathematical Biology.- Comparison of exact solutions of model equations connected to the SIS and SIR model of epidemics spread.- Comparison of exact solutions of model equations connected to the SIR and SEIR model of epidemic spread.- Part6. Applications in Fractional Analysis.- Ulam type stability of Volterra fractional integral equations of variable-order.- Exact solitary wave solutions of the time-fractional fifth-order KdV-type equation via extended Simple Equations Method(SEsM).- Existence for a nonlinear boundary value problem for Riemann-Liouville fractional differential equations of variable order.
£237.49
Springer Homogenization Algebras and Applications
Book Synopsis- 1. Preliminaries. - 2. Homogenization Algebras on RN.- 3. S-Convergence: The Periodic Setting.- 4. S-Convergence: The General Setting.- 5. Homogenization of Elliptic Operators.- 6. Homogenization of Parabolic Operators I.- 7. Homogenization Of Parabolic Operators II.- 8. Reiterated Homogenization.
£123.49
Springer An Introduction to Microlocal Analysis
Book SynopsisPreface.- 1. Introduction.- 2. Schwartz functions and tempered distributions.- 3. Symbols.- 4. Pseudodifferential operators.- 5. Pseudodifferential operators on manifolds.- 6. Microlocalization.- 7. Hyperbolic evolution equations and Egorov's theorem.- 8. Real principal type propagation of singularities.- 9. Solving wave-type equations.- 10. Propagation of singularities at radial sets.- 11. Late time asymptotics of linear waves on de Sitter space.- Bibliography.- Index.
£75.99
Springer Approximation Theory and Special Functions
Book SynopsisInterpolating projections in Fréchet algebras.- Trigonometric Background Multivariate Smooth Poisson-Cauchy Singular Integrals Approximation.- Asymptotic and quantitative results of Neural Network operators that employ wavelets.- Genuine Bernstein-Durrmeyer type operators preserving 1 and x^j (II).- Korovkin-type approximation theorems for functions with the help of Istatistical convergence.- Fractional Approximation of Time Separating Stochastic Processes by Neural Networks of Compact Support.- Some Results of Korovkin Type For Nonlinear Operators.- Approximation Properties of Generalized Q-Favard-Sz´asz-Mirakjan Operators of Max-Product Kind.- Riemann-Liouville Type Fractional Generalized $\lambda-$Bernstein-Kantorovich Operators.- Parametric Extensions of a Certain Family of Bernstein-Type Rational Functions.- Stability Analysis of a SAIR Epidemic Model with Logistic Growth in Susceptible Compartment.- Numerical Solution and Effective Error Estimation for a Mixed Problem for the Laplace Equation.- On Some Comparison of Multi-step Multi-derivative Methods and Its Application to Solve the Volterra Integro-Differential Equations.- Existence and Uniqueness of strong Solution of the Time fractional integro differential equation with integral boundary conditions.- The New Numerical Solutions of the Atangana-Baleanu Fractional Benney Equation.- A New Dual-phase Hybrid Variable Selection Method in High-Dimensional Data.- Certain New Integral Formulas Involving the Generalized Multi-index Bessel Functions.- Lower Bounds for Extremal Polynomials.- General Families of Cosine and Sine Appell Polynomials.- Some properties of Frobenius-Sigmoid polynomials.- The Appell-Fibonacci Polynomials.- On Bivariate Jacobi Konhauser Polynomials.- The Multivariable-Multiparameter generalized Cesaro polynomials and the generalized Lauricella functions.- The Difference Equation of Meijier’s G-function.- The generalized finite bivariate biorthogonal M - Jacobi polynomials.- Probabilistic new type degenerate Bell polynomials of the second kind associated with random variables.- Fuzzy Parameterized CR-Fuzzy Soft Sets and Some Set Operations.- A Modified Similarity Measure for Continuous Function Valued Intuitionistic Fuzzy Sets and An Application on Classification.- Energy spectrum for Scarf-Grosche potential.- Some Inequalities for Riesz Potential on Homogeneous Variable Exponent Herz-Morrey-Hardy Spaces.- Fixed Point Results of Contractive Mappings Under Simulation Function in Metric Spaces.- Completely Monotone Invariance of Smoothing via Central Vector Lattice Differences.- Spectrum Density Estimation of Sample Covariance Matrices with Correlated Entries.- Modelling of Count Data in Circular Statistics.- Reconstruction of the North Atlantic Double-gyre Circulation with Genetic Programming.- On Normal Subgroups of General Linear Groups of Certain $C^*$-Algebras.
£237.49
Springer Numerical Methods for Metric Graphs
£94.99
Birkhauser Verlag AG The Navier-Stokes Equations: An Elementary Functional Analytic Approach
Book SynopsisThe primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.Trade ReviewFrom the reviews:“The book is well written and not unnecessarily wordy. There is an up-to-date bibliography and a nice index. … a mathematician who wishes to know what the important issues concerning eq. (1) are and what has been achieved, would find this an excellent source. Equally, a mathematically-minded student, with a good grounding in analysis and who has decided to work in this area, or the teacher who wants to teach a course on this material would find this a valuable text.” (P. N. Shankar,Current Science, Vol. 85 (2), July, 2003)Table of ContentsPreliminary Results.- The Stationary Navier-Stokes Equations.- The Linearized Nonstationary Theory.- The Full Nonlinear Navier-Stokes Equations.
£75.99