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Several books deal with Sobolev spaces on open subsets of R (n), but none yet with Sobolev spaces on Riemannian manifolds, despite the fact that the theory of Sobolev spaces on Riemannian manifolds …

geschrieben von Emmanuel Hebey (Autor)

What is calculus really for? This book is a highly readable introduction to applications of calculus, from Newton's time to the present day. These often involve questions of dynamics, i.e., of …

Introduction; A brief review of calculus; Ordinary differential equations; Computer solution methods; Elementary oscillations; Planetary motion; Waves and diffusion; The best of all possible worlds?; …

geschrieben von David Acheson (Autor) und D. J. Acheson (Autor)

This textbook is designed for a course at the beginning graduate level, serving students of mathematics, engineering, physics, and other sciences. Its goal is to provide the analytical tools, …

Normed Linear Spaces.- Hilbert Spaces.- Calculus in Banach Spaces.- Approximate Methods of Analysis.- Distributions.- The Fourier Transform.- Additional Topics.- Measure and Integration.- References.- …

geschrieben von Ward Cheney (Autor)

This work is devoted to the motion of surfaces for which the normal velocity at every point is given by the mean curvature at that point; this geometric heat flow process is called mean curvature …

Preface.- Introduction.- Special Solutions and Global Behaviour.- Local Estimates via the Maximum Principle.- Integral Estimates and Monotonicity Formulas.- Regularity Theory at the First Singular …

geschrieben von Klaus Ecker (Autor)

Over the course of the last century, the systematic exploration of the relationship between Fourier analysis and other branches of mathematics has lead to important advances in geometry, number …

Preface * Contributors * Lattice Point Problems: Crossroads of Number Theory, Probability Theory, and Fourier Analysis * Totally Geodesic Radon Transform of L^P-Functions on Real Hyperbolic Space * …

geschrieben von Luca Brandolini (Herausgeber) und Leonardo Colzani (Herausgeber) und Alex Iosevich (Herausgeber)

This is a unique book related to the theory of functions of a-bounded type in the half-plane of the complex plane, which is constructed by application of the Liouville integro-differential operator. …

Preface.- Intro.- The Liouville Operator.- Blaschke Type Products.- Equilibrium Relations and Factorization.- Meromorphic Functions.- Boundary Values.- Uniform Approximations.- Subharmonic Functions.- …

geschrieben von Armen M. Jerbashian (Autor)

The study of dynamical systems is a well established field. Having given graduate-level courses on the subject for many years, the authors have now written this book to provide a panorama of the …

A Basic Problem.- Dynamical Systems.- Topological Properties.- Hyperbolicity.- Invariant Measures.- Entropy.- Statistics and Statistical Mechanics.- Other Probabilistic Results.- Experimental …

geschrieben von Pierre Collet (Autor) und Jean Pierre Eckmann (Autor)

Covers the traditional methods for polynomial root-finding such as Newton's, as well as numerous variations on them as well as developments such as Vincent's method, simultaneous iterations, and …

geschrieben von J. M. McNamee (Autor)

The present book discusses the Kuhn-Tucker Optimality, Karush-Kuhn-Tucker Necessary and Sufficient Optimality Conditions in presence of various types of generalized convexity assumptions. Wolfe-type …

Introduction and Motivation.- Generalized Convex Functions.- Type I and Related Functions.- Optimality Conditions.- Duality Theory.- Second and Higher Order Duality.- Symmetric Duality.- Vector …

geschrieben von Shashi Kant Mishra (Autor) und Shou Yang Wang (Autor) und Kin Keung Lai (Autor)

This book, written by leading experts in combinatorial optimization, features in-depth surveys of current research areas in combinatorial optimization in the broad sense, ranging from applied graph …

geschrieben von William J. Cook (Herausgeber) und László Lovász (Herausgeber) und Jens Vygen (Herausgeber)