Mathematical Analysis category: 956 books
by Messoud Efendiev
Language: English
Release Date: October 2, 2018
Language: English
Release Date: October 2, 2018
The mathematical models considered in this book can help to understand the swelling of mitochondria. For the first time, it presents new mathematical models of mitochondrial swelling that take into account, in particular, spatial effects. The results presented here could make it possible to predict...
Convergence of One-Parameter Operator Semigroups
In Models of Mathematical Biology and Elsewhere
Language: English
Release Date: July 14, 2016
This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the...
Lectures on Constructive Approximation
Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball
Language: English
Release Date: December 12, 2012
Lectures on Constructive Approximation: Fourier, Spline, and Wavelet Methods on the Real Line, the Sphere, and the Ball focuses on spherical problems as they occur in the geosciences and medical imaging. It comprises the author’s lectures on classical approximation methods based on orthogonal polynomials...
The Cauchy-Schwarz Master Class
An Introduction to the Art of Mathematical Inequalities
Language: English
Release Date: April 26, 2004
This lively, problem-oriented text, first published in 2004, is designed to coach readers toward mastery of the most fundamental mathematical inequalities. With the Cauchy-Schwarz inequality as the initial guide, the reader is led through a sequence of fascinating problems whose solutions are presented...
Mathematics Without Boundaries
Surveys in Interdisciplinary Research
Language: English
Release Date: September 16, 2014
This volume consists of chapters written by eminent scientists and engineers from the international community and present significant advances in several theories, methods and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization...
Szegő's Theorem and Its Descendants
Spectral Theory for L2 Perturbations of Orthogonal Polynomials
Language: English
Release Date: November 8, 2010
This book presents a comprehensive overview of the sum rule approach to spectral analysis of orthogonal polynomials, which derives from Gábor Szego's classic 1915 theorem and its 1920 extension. Barry Simon emphasizes necessary and sufficient conditions, and provides mathematical background that...
The Elements of Cantor Sets
With Applications
Language: English
Release Date: July 29, 2013
A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics
The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.
The...
Neural Fields
Theory and Applications
Language: English
Release Date: June 17, 2014
Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance...
by Demeter Krupka
Language: English
Release Date: January 13, 2015
Language: English
Release Date: January 13, 2015
The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis...
by Stephen Abbott
Language: English
Release Date: December 6, 2012
Language: English
Release Date: December 6, 2012
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus...
Foundations of Symmetric Spaces of Measurable Functions
Lorentz, Marcinkiewicz and Orlicz Spaces
Language: English
Release Date: December 9, 2016
Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers...
by Luiz Velho, Jonas Gomes
Language: English
Release Date: September 15, 2015
Language: English
Release Date: September 15, 2015
This text introduces the basic concepts of function spaces and operators, both from the continuous and discrete viewpoints. Fourier and Window Fourier Transforms are introduced and used as a guide to arrive at the concept of Wavelet transform. The fundamental aspects of multiresolution representation,...
by Vijay Gupta, Ravi P. Agarwal, Ali Aral
Language: English
Release Date: May 9, 2013
Language: English
Release Date: May 9, 2013
The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization...
Hypernumbers and Extrafunctions
Extending the Classical Calculus
Language: English
Release Date: May 16, 2012
“Hypernumbers and Extrafunctions” presents a rigorous mathematical approach to operate with infinite values. First, concepts of real and complex numbers are expanded to include a new universe of numbers called hypernumbers which includes infinite quantities. This brief extends classical calculus...