Mathematical Analysis

Up to a certain time the attention of mathematicians was concentrated on the study of individual objects, for example, specific elementary functions or curves defined by special equations. With the creation of the method of Fourier series, which allowed...

One service mathematics has rendered the 'Et moi, ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded...

Operational methods have been used for over a century to solve problems such as ordinary and partial differential equations. When solving such problems, in many cases it is fairly easy to obtain the Laplace transform, while it is very demanding to...

This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics. It then explores the properties of conformal vector fields and...

The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of...

The idea of structure-preserving algorithms appeared in the 1980's. The new paradigm brought many innovative changes. The new paradigm wanted to identify the long-time behaviour of the solutions or the existence of conservation laws or some other...

The prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of...

The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical...

This book provides an overview of recent advances in the theory of dynamical systems, with a particular emphasis on their connections to other areas of mathematical research, including number theory, geometry, mathematical physics, complex analysis, and...

The dual space of a locally compact group G consists of the equivalence classes of irreducible unitary representations of G. This book provides a comprehensive guide to the theory of induced representations and explains its use in describing the dual...

This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier...

View the abstract.About the AuthorPhilipp Grohs, University of Vienna, Austria, and Austrian Academy of Sciences, Linz, Austria.Fabian Hornung, Karlsruhe Institute of Technology, Germany, and ETH Zurich, Switzerland.Arnulf Jentzen, The Chinese University...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9798888360484Author Matt FerrierFormat HardbackPage Count 240Imprint Larsen and Keller EducationPublisher Larsen and Keller EducationWeight(grams)...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781647254421Author Matt FerrierFormat HardbackPage Count 242Imprint NY Research PressPublisher NY Research PressWeight(grams) 853gDimensions(mm) 279mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781632406545Author Andrew CleggFormat HardbackPage Count 213Imprint Clanrye InternationalPublisher Clanrye InternationalWeight(grams) 590gDimensions(mm)...

A fundamental question in the theory of discrete and continuous-time population models concerns the conditions for the extinction or persistence of populations - a question that is addressed mathematically by persistence theory. For some time, it has...

This comprehensive introduction to global spectral methods for fractional differential equations from leaders of this emerging field is designed to be accessible to graduate students and researchers across math, science, and engineering. The book begins...

This book presents a wide-ranging approach to operator-valued measures and integrals of both vector-valued and set-valued functions. It covers convergence theorems and an integral representation for linear operators on spaces of continuous vector-valued...

This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in a...

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and...

H. A. Schwarz showed us how to extend the notion of reflection in straight lines and circles to reflection in an arbitrary analytic arc. Notable applications were made to the symmetry principle and to problems of analytic continuation. Reflection, in the...

The Ricci flow uses methods from analysis to study the geometry and topology of manifolds. With the third part of their volume on techniques and applications of the theory, the authors give a presentation of Hamilton's Ricci flow for graduate students...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781682854167Author Andrew CleggFormat HardbackPage Count 213Imprint Willford PressPublisher Willford PressWeight(grams) 590gDimensions(mm) 254mm * 178mm *...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9781639872398Author May HooperFormat HardbackPage Count 245Imprint Murphy & Moore PublishingPublisher Murphy & Moore PublishingWeight(grams)...

This volume contains the proceedings of the virtual AMS Special Session on Fractal Geometry and Dynamical Systems, held from May 14-15, 2022. The content covers a wide range of topics. It includes nonautonomous dynamics of complex polynomials, theory and...

The so-called ""pinched disk'' model of the Mandelbrot set is due to A. Douady, J. H. Hubbard and W. P. Thurston. It can be described in the language of geodesic laminations. The combinatorial model is the quotient space of the unit disk under an...

In this article, the author studies fundamental Bessel functions for $/mathrm{GL}_n(/mathbb F)$ arising from the Voronoi summation formula for any rank $n$ and field $/mathbb F = /mathbb R$ or $/mathbb C$, with focus on developing their analytic and...

In this paper, we study the dynamics of fluids in porous media governed by Darcy's law: the Muskat problem. We consider the setting of two immiscible fluids of different densities and viscosities under the influence of gravity in which one fluid is...

Equipped with the L2,q-distortion distance 𝚫2,q, the space 𝕏2,q of all metric measure spaces (X, d, 𝔪) is proven to have nonnegative curvature in the sense of Alexandrov. Geodesics and tangent spaces are characterized in detail...

The aim of this monograph is to study the global existence of solutions to a coupled wave-Klein-Gordon system in space dimension two when initial data are small smooth and mildly decaying at infinity. Some physical models strictly related to general...

View the abstract.About the AuthorTomasz Downarowicz, Wroclaw University of Science and Technology, Poland.Guohua Zhang, Fudan Unversity, Shanghai, China.Book InformationISBN 9781470455873Author Tomasz DownarowiczFormat PaperbackPage Count 95Imprint...

View the abstract.About the AuthorOscar Dominguez, Universidad Complutense de Madrid, Spain.Sergei Tikhonov, Centre de Recerca Matematica, Barcelona, Spain, and Universitat Autonoma de Barcelona, Spain.Book InformationISBN 9781470455385Author Oscar...

In this paper, we develop via real variable methods various characterisations of the Hardy spaces in the multi-parameter flag setting. These characterisations include those via, the non-tangential and radial maximal function, the Littlewood-Paley square...

This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure...

This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26-27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities,...

This book provides a comprehensive study of how attractors behave under perturbations for both autonomous and non-autonomous problems. Furthermore, the forward asymptotics of non-autonomous dynamical systems is presented here for the first time in a...

This companion piece to the author's 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large...

Apologies but we at Booksplease don't have a full description for this book.Book InformationISBN 9798765707456Author John R. TaylorPage Count 260Imprint Kendall/Hunt Publishing Co ,U.S.Publisher Kendall/Hunt Publishing Co ,U.S.

It is well known that if two independent identically distributed random variables are Gaussian, then their sum and difference are also independent. It turns out that only Gaussian random variables have such property. This statement, known as the famous...

As the title of the book indicates, this is primarily a book on partial differential equations (PDEs) with two definite slants: toward inverse problems and to the inclusion of fractional derivatives. The standard paradigm, or direct problem, is to take a...