Mathematical Analysis 35

Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the earl……続きを見る

This book is devoted to the mathematical analysis of the numerical solution of boundary integral equations treating boundary value, transmission and contact problems arising in elasticity, acoustic ……続きを見る

Refection Positivity is a central theme at the crossroads of Lie group representations, euclidean and abstract harmonic analysis, constructive quantum field theory, and stochastic processes. This bo……続きを見る

Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, i……続きを見る

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, cont……続きを見る

Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s……続きを見る

This book concentrates on the modern theory of dynamical systems and its interactions with number theory and combinatorics. The greater part begins with a course in analytic number theory and focuse……続きを見る

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional e……続きを見る

The purpose of this monograph is to provide a theory of Markov processes that are invariant under the actions of Lie groups, focusing on ways to represent such processes in the spirit of the classic……続きを見る

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is tr……続きを見る

This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends di……続きを見る

In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic mean of Fourier series. More advanced topics include a fir……続きを見る

Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the investigation of weighted inequalities on certain classes ……続きを見る

Dieses Buch soll Ihnen als Mathematik-Erstsemester den Einstieg und Umstieg von der Schulmathematik in die Hochschulmathematik erleichtern und Ihnen somit helfen, viele der üblichen Erstsemester-Feh……続きを見る

Das vorliegende Buch bietet eine leicht lesbare Darstellung der Kerninhalte der Differenzialrechnung und richtet sich an Studierende der Physik, der Ingenieur- und Wirtschaftswissenschaften sowie an……続きを見る

Dieses Arbeitsbuch enthält die Aufgaben, Hinweise, Lösungen und Lösungswege zu allen sechs Teilen des Lehrbuchs Arens et al., Mathematik. Die Inhalte des Buchs stehen als pdf-Dateien auch auf der We……続きを見る

Topological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1-dimensio……続きを見る

El propósito de este texto es mostrar cómo algunos conceptos matemáticos, como fracción, porcentaje, medias aritméticas y variación porcentual, se aplican en situaciones de la vida cotidiana. La may……続きを見る

Originating from research in the qualitative theory of ordinary differential equations, this book follows the authors’ work on structurally stable planar quadratic polynomial differential systems. I……続きを見る

The book is intended for all those who are interested in application problems related to dynamical systems. It provides an overview of recent findings on dynamical systems in the broadest sense. Div……続きを見る

This book focuses on theoretical aspects of dynamical systems in the broadest sense. It highlights novel and relevant results on mathematical and numerical problems that can be found in the fields o……続きを見る

In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews d……続きを見る

This book focuses on Erdélyi–Kober fractional calculus from a statistical perspective inspired by solar neutrino physics. Results of diffusion entropy analysis and standard deviation analysis of dat……続きを見る

Our book gives the complex counterpart of Klein's classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), t……続きを見る

This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research……続きを見る

This book, intended to commemorate the work of Paul Dirac, highlights new developments in the main directions of Clifford analysis. Just as complex analysis is based on the algebra of the complex nu……続きを見る

This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transfo……続きを見る

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry. Since then, the conference met semi-regula……続きを見る

Dieses vierfarbige Lehrbuch bietet in einem Band ein lebendiges Bild der „gesamten“ Mathematik für Anwender. Angehende Ingenieure und Naturwissenschaftler finden hier die wichtigen Konzepte und Begr……続きを見る

This collection covers a wide range of topics of infinite dimensional dynamical systems generated by parabolic partial differential equations, hyperbolic partial differential equations, solitary equ……続きを見る