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## Current Research in Nonlinear Analysis: In Honor of Haim Brezis and Louis Nirenberg Leia online

- Editor: Springer
- Data de publicação: 2018-07-11
- ISBN: 3319897993
- Número de páginas: 492 pages
- Tag: current, research, nonlinear, analysis, honor, brezis, louis, nirenberg

Current research and applications in nonlinear analysis influenced by Haim Brezis and Louis Nirenberg are presented in this book by leading mathematicians. Each contribution aims to broaden reader’s understanding of theories, methods, and techniques utilized to solve significant problems.

Topics include:

- Sobolev Spaces
- Maximal monotone operators
- A theorem of Brezis-Nirenberg
- Operator-norm convergence of the Trotter product formula
- Elliptic operators with infinitely many variables
- Pseudo-and quasiconvexities for nonsmooth function
- Anisotropic surface measures
- Eulerian and Lagrangian variables
- Multiple periodic solutions of Lagrangian systems
- Porous medium equation
- Nondiscrete Lassonde-Revalski principle

## Fuzzy Operator Theory in Mathematical Analysis Leia online

- Autor: Yeol Je Cho
- Editor: Springer
- Data de publicação: 2018-08-20
- ISBN: 3319934996
- Número de páginas: 400 pages
- Tag: fuzzy, operator, theory, mathematical, analysis

This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented.

Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.

## Recent Advances in Constructive Approximation Theory Leia online

- Autor: Vijay Gupta
- Editor: Springer
- Data de publicação: 2018-08-04
- ISBN: 3319921649
- Número de páginas: 288 pages
- Tag: recent, advances, constructive, approximation, theory

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics.

Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type convergence of GBS operators.

## Applications of Nonlinear Analysis Leia online

- Editor: Springer
- Data de publicação: 2018-08-16
- ISBN: 3319898140
- Número de páginas: 853 pages
- Tag: applications, nonlinear, analysis

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory.

Topics include:

- Fixed point theory
- Fixed-circle theory
- Coupled fixed points
- Nonlinear duality in Banach spaces
- Jensen's integral inequality and applications
- Nonlinear differential equations
- Nonlinear integro-differential equations
- Quasiconvexity, Stability of a Cauchy-Jensen additive mapping
- Generalizations of metric spaces
- Hilbert-type integral inequality, Solitons
- Quadratic functional equations in fuzzy Banach spaces
- Asymptotic orbits in Hill’sproblem
- Time-domain electromagnetics
- Inertial Mann algorithms
- Mathematical modelling
- Robotics

## Modern Discrete Mathematics and Analysis: With Applications in Cryptography, Information Systems and Modeling Leia online

- Editor: Springer
- Data de publicação: 2018-08-06
- ISBN: 3319743244
- Número de páginas: 521 pages
- Tag: modern, discrete, mathematics, analysis, applications, cryptography, information, systems, modeling

A variety of modern research in analysis and discrete mathematics is provided in this book along with applications in cryptographic methods and information security, in order to explore new techniques, methods, and problems for further investigation. Distinguished researchers and scientists in analysis and discrete mathematics present their research. Graduate students, scientists and engineers, interested in a broad spectrum of current theories, methods, and applications in interdisciplinary fields will find this book invaluable.

## Urban Ethics Under Conditions of Crisis: Politics, Architecture, Landscape Sustainability and Multidisciplinary Engineering Leia online

- Editor: World Scientific Publishing Company
- Data de publicação: 2018-03-31
- ISBN: 981314193X
- Número de páginas: 300 pages
- Tag: urban, ethics, under, conditions, crisis, politics, architecture, landscape, sustainability, multidisciplinary, engineering

Urban Ethics under Conditions of Crisis investigates the states of urban planning, architectural design, sustainability, landscape architecture, and engineering, and examines their correlation to social attitudes and dispositions that can impact on socio-cultural and political engagement internationally in conditions of crisis. The theme of the book emphasizes the need to acknowledge the controversial character of contemporary social life under critical social conditions, in correlation to urban space. It concerns the evaluation of critical issues such as:

## Differential Geometry, Calculus of Variations, and Their Applications Leia online

- Autor: George M. Rassias
- Editor: CRC Press
- Data de publicação: 2017-07-27
- ISBN: 1138441708
- Tag: differential, geometry, calculus, variations, their, applications

## Irregularities in the Distribution of Prime Numbers: From the Era of Helmut Maier's Matrix Method and Beyond Leia online

- Editor: Springer
- Data de publicação: 2018-08-24
- ISBN: 3319927760
- Número de páginas: 196 pages
- Tag: irregularities, distribution, prime, numbers, helmut, maiers, matrix, method, beyond

This volume presents research and expository papers highlighting the vibrant and fascinating study of irregularities in the distribution of primes. Written by an international group of experts, contributions present a self-contained yet unified exploration of a rapidly progressing area. Emphasis is given to the research inspired by Maier’s matrix method, which established a newfound understanding of the distribution of primes. Additionally, the book provides an historical overview of a large body of research in analytic number theory and approximation theory. The papers published within are intended as reference tools for graduate students and researchers in mathematics.

## Goldbach’s Problem: Selected Topics (English Edition) Leia online

- Autor: Michael Th. Rassias
- Data de publicação: 2018-04-17
- Número de páginas: 140 pages
- Tag: goldbachs, problem, selected, topics, english, edition

Important results surrounding the proof of Goldbach's ternary conjecture are presented in this book. Beginning with an historical perspective along with an overview of essential lemmas and theorems, this monograph moves on to a detailed proof of Vinogradov's theorem. The principles of the Hardy-Littlewood circle method are outlined and applied to Goldbach's ternary conjecture. New results due to H. Maier and the author on Vinogradov's theorem are proved under the assumption of the Riemann hypothesis. The final chapter discusses an approach to Goldbach's conjecture through theorems by L. G. Schnirelmann. This book concludes with an Appendix featuring a sketch of H. Helfgott's proof of Goldbach's ternary conjecture. The Appendix also presents some biographical remarks of mathematicians whose research has played a seminal role on the Goldbach ternary problem.

The author's step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on Goldbach's problem

The author's step-by-step approach makes this book accessible to those that have mastered classical number theory and fundamental notions of mathematical analysis. This book will be particularly useful to graduate students and mathematicians in analytic number theory, approximation theory as well as to researchers working on Goldbach's problem

## Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis: 48 (Springer Optimization and Its Applications) Leia online

- Autor: Soon-Mo Jung
- Editor: Springer
- Data de publicação: 2011-04-11
- Número de páginas: 362 pages
- Tag: hyers, rassias, stability, functional, equations, nonlinear, analysis, springer, optimization, applications

No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables".

This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.