CK - Mathematical Analysis 2

The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and numerical analysis. This second edition of……続きを見る

Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the bes……続きを見る

This first volume is concerned with the analytic derivation of explicit formulas for the leading-order Taylor approximations of (local) stochastic invariant manifolds associated with a broad class o……続きを見る

In this second volume, a general approach is developed to provide approximate parameterizations of the "small" scales by the "large" ones for a broad class of stochastic partial differential equatio……続きを見る

This book provides an introduction to the basic ideas and tools used in mathematical analysis. It is a hybrid cross between an advanced calculus and a more advanced analysis text and covers topics i……続きを見る

The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the sub……続きを見る

This textbook is an alternative to a classical introductory book in point-set topology. The approach, however, is radically different from the classical one. It is based on convergence rather than o……続きを見る

This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The tex……続きを見る

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry gro……続きを見る

'This is a deep and beautiful monograph in functional analysis, at the interface with mathematical physics.' Mathematical Reviews The integration of vector valued functions with respect to vector va……続きを見る

This 2nd edition textbookoffers a rigorous introduction to measure theoretic probability with particular attention to topics of interest to mathematical statisticiansーa textbook for courses in prob……続きを見る

This book covers all topics in mechanics from elementary Newtonian mechanics, the principles of canonical mechanics and rigid body mechanics to relativistic mechanics and nonlinear dynamics. It was ……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

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

What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative geometry à la Connes, deliberately unvei……続きを見る

Like the early explorers who would travel to strange and exotic lands and send back reports to the Royal Geographical Society, I have been wandering the complex plane and have discovered some truly ……続きを見る

An illustrated tour of the structures and patterns we call "math" The only numbers in this book are the page numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to th……続きを見る

This graduate textbook provides a detailed introduction to the probabilistic interpretation of nonlinear potential theory, relying on the recently introduced notion of tug-of-war games with noise. T……続きを見る

In diesem Lehrbuch wird die klassische Lebesguesche Maß- und Integrationstheorie stringent entwickelt und dargestellt – trotz großem Tiefgang ist das Buch dadurch gut lesbar. Die einzelnen Abschnitt……続きを見る

This monograph has arisen out of a number of attempts spanning almost five decades to understand how one might examine the evolution of densities in systems whose dynamics are described by different……続きを見る

This graduate-level textbook aims to give a unified presentation and solution of several commonly used techniques for multivariate data analysis (MDA). Unlike similar texts, it treats the MDA proble……続きを見る

This book brings together current research and adopts a pragmatic approach to modeling and using context to solve real-world problems. The editors were instrumental in creating - and continue to be ……続きを見る

This text provides a concise introduction, suitable for a one-semester special topics course, to the remarkable properties of Gaussian measures on both finite and infinite dimensional spaces. It beg……続きを見る

This book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved us……続きを見る

Die Kanarischen Inseln, deren Topographie stets herausfordernd für eine wettbewerbsfähige Tourismusstrategie war, dienen als Fallstudie zur Transformation hin zu einem nachhaltigen Tourismusmodell s……続きを見る

This textbook offers an extensive list of completely solved problems in mathematical analysis. This third of three volumes covers curves and surfaces, conditional extremes, curvilinear integrals, co……続きを見る

This textbook offers an extensive list of completely solved problems in mathematical analysis. This first of three volumes covers sets, functions, limits, derivatives, integrals, sequences and serie……続きを見る

This volume brings together four contributions to mathematical fluid mechanics, a classical but still highly active research field. The contributions cover not only the classical Navier-Stokes equat……続きを見る

This book offers the first systematic account of canard cycles, an intriguing phenomenon in the study of ordinary differential equations. The canard cycles are treated in the general context of slow……続きを見る

This textbook offers an extensive list of completely solved problems in mathematical analysis. This second of three volumes covers definite, improper and multidimensional integrals, functions of sev……続きを見る