Calculus and mathematical analysis

Featuring the clearly presented and expertly-refereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference held at TOBB University of Economics and Technology in Ankara, Turkey, on May 28-31, 2015.

Involving rigorous analysis, computational dexterity, and a breadth of applications, this text is ideal for an undergraduate honors calculus course or for an introduction to analysis.

This book collects the refereed proceedingsof the Second International Conference on Algorithms and Discrete AppliedMathematics, CALDAM 2016, held in Thiruvananthapuram, India, in February 2016.

This volume collects the edited and reviewedcontributions presented in the 6th iTi Conference in Bertinoro, coveringfundamental and applied aspects in turbulence.

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics.

Addressing the question how to "e;sum"e; a power series in one variable when it diverges, that is, how to attach to it analytic functions, the volume gives answers by presenting and comparing the various theories of k-summability and multisummability.

This book covers the material of a one year course in real analysis.

This monograph contains an in-depth analysis of the dynamics given by a linear Hamiltonian system of general dimension with nonautonomous bounded and uniformly continuous coefficients, without other initial assumptions on time-recurrence.

The aim of this volume is two-fold.

This edited volume offers a state of the art overview of fast and robust solvers for the Helmholtz equation.

This book arose from a conference on "e;Singularities and Computer Algebra"e; which was held at the Pfalz-Akademie Lambrecht in June 2015 in honor of Gert-Martin Greuel's 70th birthday.

Working in the fractional Laplace framework, this book provides models and theorems related to nonlocal diffusion phenomena.

Providing an elementary introduction to analytic continuation and monodromy, the first part of this volume applies these notions to the local and global study of complex linear differential equations, their formal solutions at singular points, their monodromy and their differential Galois groups.

This monograph presents a systematic analysis of bubble system mathematics, using the mechanics of two-phase systems in non-equilibrium as the scope of analysis.

This textbook provides an introduction to the free software Python and its use for statistical data analysis.

This volume of LNCSE is a collection of the papers from the proceedings of the third workshop on sparse grids and applications.

This book collects more than thirty contributions in memory of Wolfgang Schwarz, most of which were presented at the seventh International Conference on Elementary and Analytic Number Theory (ELAZ), held July 2014 in Hildesheim, Germany.

This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7-11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary.

This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto.

This volume contains the best papers presented at the 2nd ECCOMAS International Conference on Multiscale Computations for Solids and Fluids, held June 10-12, 2015.

This text provides an introduction to some of the best-known fixed-point theorems, with an emphasis on their interactions with topics in analysis.

This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables.

How does mathematics impact everyday events?

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis.

This book presents a comprehensive mathematical study of the operators behind the Born-Jordan quantization scheme.

This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "e;New Trends in Applied Harmonic Analysis:Sparse Representations, Compressed Sensing and Multifractal Analysis"e;.

This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands.

This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios.

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods.

This advanced undergraduate textbook is based on a one-semester course on single variable calculus that the author has been teaching at San Diego State University for many years.

This book describes the methods and numerical approaches for data assimilation in geodynamical models and presents several applications of the described methodology in relevant case studies.

This volume is devoted to the study of the Navier-Stokes equations, providing a comprehensive reference for a range of applications: from advanced undergraduate students to engineers and professional mathematicians involved in research on fluid mechanics, dynamical systems, and mathematical modeling.

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces.

This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces.

This book provides the mathematical foundations for Feynman's operator calculus and for the Feynman path integral formulation of quantum mechanics as a natural extension of analysis and functional analysis to the infinite-dimensional setting.

In this monograph, leading researchers in the world ofnumerical analysis, partial differential equations, and hard computationalproblems study the properties of solutions of the Navier Stokes partial differential equations on (x, y, z,t) ?

This edited volume is devoted to the now-ubiquitous use of computational models across most disciplines of engineering and science, led by a trio of world-renowned researchers in the field.

These lecture notes provide a self-contained introduction to regularity theory for elliptic equations and systems in divergence form.

Different facets of interplay between harmonic analysis andapproximation theory are covered in this volume.

This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field.

This book reviews the field of helioseismology and its outstanding challenges and also offers a detailed discussion of the latest computational methodologies.

This book  focuses on the theory of linear operators on non-Archimedean Banach spaces.

This new edition is a concise introduction to the basic methods of computational physics.

This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).

This book features research contributions fromThe Abel Symposium on Statistical Analysis for High Dimensional Data, held inNyvagar, Lofoten, Norway, in May 2014.

This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view.

This book mostly results from a selection of papers presented during the 11th IFAC (International Federation of Automatic Control) Workshop on Time-Delay Systems, which took place in Grenoble, France, February 4 - 6, 2013.

This book is dedicated to study the inverse problem of ordinary differential equations, that is it focuses in finding all ordinary differential equations that satisfy a given set of properties.

This book considers specific inferential issues arising from the analysis of dynamic shapes with the attempt to solve the problems at hand using probability models and nonparametric tests.

This book presents and explains a general, efficient, and elegant method for solving the Dirichlet, Neumann, and Robin boundary value problems for the extensional deformation of a thin plate on an elastic foundation.