Calculus and mathematical analysis Books

These notes form the contents of a Nachdiplomvorlesung given at the Forschungs­ institut fur Mathematik of the Eidgenossische Technische Hochschule, Zurich from November, 1984 to February, 1985. Prof. K. Chandrasekharan and...

The book reviews a large number of 1- and 2-dimensional equations that describe nonlinear phenomena in various areas of modern theoretical and mathematical physics. It is meant, above all, for physicists who specialize in the...

This book puts the modern theory of complex linear convexity on a solid footing, and gives a thorough and up-to-date survey of its current status. Applications include the Fantappié transformation of analytic functionals,...

This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the...

This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its...

1 Basic Principles and Facts.- 2 Gegenbauer Polynomials.- 3 Multivariate Polynomials.- 4 Polynomials on Sphere and Ball.- 5 Approximation Methods.- 6 Approximation on the Sphere.- 7 Approximation on the Ball.- 8 Tomography.- A Legendre Basis.- B Zeros of...

to Classical Complex Analysis Vol. 1 by Robert B. Burckel Kansas State University 1979 BIRKHAUSER VERLAG BASEL UND STUTTGART CIP-Kurztitelaufnahme der Deutschen Bibliothek Burckel, Robert B.: An introduction to classical...

The first of the annual Operator Theory conferences in Ti­ mi~oara held four years ago was a meeting of operator theory spe­ cialists from the National Institute for Scientific and Techni­ cal Creation in Bucharest and from the...

The papers in this book originate from lectures which were held at the "Vienna Workshop on Nonlinear Models and Analysis" - May 20-24, 2002. They represent a cross-section of the research field Applied Nonlinear Analysis with...

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical...

On the roots of continuum mechanics in differential geometry -- a review.- Cosserat media.- Cosserat-type shells.- Cosserat-type rods.- Micromorphic media.- Electromagnetism and generalized continua.- Computational methods for generalized continua.The...

F. dell'Isola, L. Placidi: Variational principles are a powerful tool also for formulating field theories. - F. dell'Isola, P. Seppecher, A. Madeo: Beyond Euler-Cauchy Continua. The structure of contact actions in N-th gradient generalized continua: a...

1 Introduction 1.1 Basic Concepts 2 Algebraic Approach 2.1 Point Transformations 2.2 Contact Transformations 2.3 Transformations Relating Differential Equations 2.4 Linearizing and Bilinearizing Transformations 2.5 Reductions of Nonlinear PDEs 2.6...

This open access book gives a systematic introduction into the spectral theory of differential operators on metric graphs. Main focus is on the fundamental relations between the spectrum and the geometry of the underlying graph.The book has two central...

This book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How can we harness information to quantify its order, structure, and intricacy? Delving into phenomena from...

Übung macht den Meister - so ist es auch in der Mathematik. Dieses Buch enthält rund 450 Aufgaben aus verschiedenen Themenbereichen der Analysis II, die der Leserin/dem Leser dieses Buches beim Selbststudium, der häuslichen Nacharbeit des...

Dieses handliche Lehrbuch stellt akzentuiert diejenigen Inhalte aus Analysis und Linearer Algebra sowie grundlegende mathematische Fähigkeiten und Fertigkeiten dar, die für ein Studium der Mathematik bereits in den ersten beiden Semestern unverzichtbar...

Wichtige in der Quantenmechanik auftretende Begriffe mathematisch präzise und ausführlich zu erklären und anzuwenden - das ist das Ziel des vorliegenden Buches. Die Axiome der Quantenmechanik können in wenigen Zeilen formuliert werden, stecken aber...

Sie studieren ein technisches Fach und müssen sich mit Ingenieurmathematik auseinandersetzen? Sie wollen Mathematik nicht nur anwenden können, sondern auch die Zusammenhänge verstehen? Das vorliegende Lehrbuch wird Ihnen dabei helfen. Es spannt einen...

This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The second edition now includes a geometric...

Definition erzeugender Funktionen, die exponentielle Variante.- Erzeugende Funktionen für wichtige Folgen (Stirling, Fibonacci, Bernoulli, Catalan).- Techniken zur Manipulation erzeugender Funktionen.- Erzeugende Funktionen für einfache Zählprobleme und...

Nonstandard fordert Standard heraus. Das war immer so. So ist es auch in der Analysis.Nonstandardanalysis fordert 100-jährige Routinen in den Elementen der Standardanalysis heraus. Wir entwickeln die Elemente - standard neben nonstandard - aus den...

Allgemeine Formeln und Logik.- Komplexe Zahlen.- Folgen.- Reihen.- Funktionen in einer Variablen.- Differentialrechnung in einer Variablen.- Integralrechnung in einer Variablen.- Gewöhnliche Differentialgleichungen.- Lineare Algebra.- Funktionen in zwei...

Übung macht den Meister - so ist es auch in der Analysis. In diesem Buch werden circa 500 Aufgaben zur Analysis I vorgestellt, die ein breites Themen- und Aufgabentyp-Spektrum abdecken. Dabei kann man bei Fragen oder Problemen in dem entsprechenden...

Dieses Buch richtet sich an Studierende verschiedener Fachrichtungen, die das Softwarepaket Octave als kostenfreien und praktischen Lernassistenten nutzen möchten. Es stellt dar, wie sich Octave zur Lösung mathematischer Probleme aus technischen und...

Das vorliegende Buch bietet eine leicht lesbare Einführung in Theorie und Praxis gewöhnlicher Differenzialgleichungen. Es richtet sich an Studierende der Natur- und Ingenieurwissenschaften, der Wirtschaftswissenschaften und allgemein aller Fachgebiete,...

This volume presents five surveys with extensivebibliographies and six original contributions on set optimization and its applicationsin mathematical finance and game theory. The topics range from moreconventional approaches that look for minimal/maximal...

This book deals with various aspects of commutants and reducing subspaces of multiplication operators on the Bergman space, along with relevant von Neumann algebras generated by these operators, which have been the focus of considerable attention from...

Ce cours est une introduction au traitement d'image mathématique déterministe. Les principales problématiques en traitement et analyse d'image y sont présentées: débruitage/filtrage/restauration, segmentation, rehaussement/défloutage, ainsi qu'un aperçu...

The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or "Gedanken Experiments". Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be...

This volume contains the proceedings of the 19th International Conference on Difference Equations and Applications, held at Sultan Qaboos University, Muscat, Oman in May 2013. The conference brought together experts and novices in the theory and...

This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written by the leading experts in...

The book presents, in a systematic manner, the optimal controls under different mathematical models in fermentation processes. Variant mathematical models - i.e., those for multistage systems; switched autonomous systems;...

A careful and accessible exposition of functional analytic methods in stochastic analysis is provided in this book. It focuses on the interrelationship between three subjects in analysis: Markov processes, semi groups and elliptic boundary value problems...

This book is a continuation of Volume I of the same title [Grund­ lehren der mathematischen Wissenschaften, Band 115 ]. We constantly 1 1. The textbook Real and cite definitions and results from Volume abstract analysis by E...

This monograph deals with the expansion properties, in the complex domain, of sets of polynomials which are defined by generating relations. It thus represents a synthesis of two branches of analysis which have been developing...

Das Verständnis der numerischen Behandlung elliptischer Differentialgleichungen erfordert notwendigerweise auch die Kenntnisse der Theorie der Differentialgleichungen. Deshalb behandelt das Buch beide parallel. Zunächst wird der klassische Zugang (starke...

This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic,...

By studying the ability of the Normal Tempered Stable (NTS) model to fit thestatistical features of intraday data at a 5 min sampling frequency, Florian Jacobs extends the research on high frequency data as well as the appliance of tempered stable models...

Two-armed response-adaptive clinical trials are modelled as Markov decision problems to pursue two overriding objectives: Firstly, to identify the superior treatment at the end of the trial and, secondly, to keep the number of patients receiving the...