ａｎｇｅ - Mathematical Analysis 1

This textbook offers a self-contained introduction to probability, covering all topics required for further study in stochastic processes and stochastic analysis, as well as some advanced topics at ……続きを見る

This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last ……続きを見る

This graduate-level text provides an application oriented introduction to the numerical methods for elliptic and parabolic partial differential equations. It covers finite difference, finite element……続きを見る

This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein–Vishik–Birman extension schemes both i……続きを見る

This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and a……続きを見る

This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theore……続きを見る

Dieses handliche Lehrbuch stellt akzentuiert diejenigen Inhalte aus Analysis und Linearer Algebra sowie grundlegende mathematische Fähigkeiten und Fertigkeiten dar, die für ein Studium der Mathemati……続きを見る

The authors explain the Fourier transform and its technical applications, especially in signal and system theory. Based on their many years of teaching experience, they aim at helping especially STE……続きを見る

Stochastic elasticity is a fast developing field that combines nonlinear elasticity and stochastic theories in order to significantly improve model predictions by accounting for uncertainties in the……続きを見る

The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical ……続きを見る

This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begin……続きを見る

In these notes, we provide a summary of recent results on the cohomological properties of compact complex manifolds not endowed with a Kähler structure. On the one hand, the large number of develope……続きを見る

The present volume is an extensive monograph on the analytic and geometric aspects of Markov diffusion operators. It focuses on the geometric curvature properties of the underlying structure in orde……続きを見る

This textbook provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with Hilbert spaces, discusses the Fourier transform on the……続きを見る

Die Autoren erläutern die Fourier-Transformation und ihre technischen Anwendungen, insbesondere in der Signal- und Systemtheorie, dank ihrer langjährigen Erfahrungen sehr anschaulich. Sie möchten in……続きを見る

Die Autoren klassifizieren kurz die in Natur und Technik auftretenden Signale und stellen die Ecksteine der „analogen“ Fourier-Transformation als Basis für das essential dar. Sie zeigen anschaulich ……続きを見る

This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main in……続きを見る

The Mathieu series is a functional series introduced by Émile Léonard Mathieu for the purposes of his research on the elasticity of solid bodies. Bounds for this series are needed for solving biharm……続きを見る

Iterative processes are the tools used to generate sequences approximating solutions of equations describing real life problems. Intended for researchers in computational sciences and as a reference……続きを見る

This book takes readers on a multi-perspective tour through state-of-the-art mathematical developments related to the numerical treatment of PDEs based on splines, and in particular isogeometric met……続きを見る

In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator i……続きを見る

Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry provides a coherent, integrated look at various topics from undergraduate analysis. It begins with Fourier series, continues with H……続きを見る

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real ana……続きを見る