0
Your cart

Your cart is empty

Browse All Departments
Price
  • R100 - R250 (21)
  • R250 - R500 (50)
  • R500+ (2,718)
  • -
Status
Format
Author / Contributor
Publisher

Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis

Variational Methods in Shape Optimization Problems (Hardcover, 2005 ed.): Dorin Bucur, Giuseppe Buttazzo Variational Methods in Shape Optimization Problems (Hardcover, 2005 ed.)
Dorin Bucur, Giuseppe Buttazzo
R1,648 Discovery Miles 16 480 Ships in 10 - 15 working days

The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.

Key topics and features:

* Presents foundational introduction to shape optimization theory

* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains

* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE

* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions

* Studies optimization problems for obstacles and eigenvalues of elliptic operators

* Poses several open problems for further research

* Substantial bibliography and index

Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.

Generalizations of Thomae's Formula for Zn Curves (Hardcover, 2011 ed.): Hershel M. Farkas, Shaul Zemel Generalizations of Thomae's Formula for Zn Curves (Hardcover, 2011 ed.)
Hershel M. Farkas, Shaul Zemel
R3,089 Discovery Miles 30 890 Ships in 10 - 15 working days

Previous publications on the generalization of the Thomae formulae to "Zn" curves have emphasized the theory's implications in mathematical physics and depended heavily on applied mathematical techniques. This book redevelops these previous results demonstrating how they can be derived directly from the basic properties of theta functions as functions on compact Riemann surfaces.

"Generalizations of Thomae's Formulafor "Zn" Curves" includes several refocused proofs developed in a generalized context that is more accessible to researchers in related mathematical fields such as algebraic geometry, complex analysis, and number theory.

This book is intended for mathematicians with an interest in complex analysis, algebraic geometry or number theory as well as physicists studying conformal field theory."

Real Analysis for the Undergraduate - With an Invitation to Functional Analysis (Hardcover, 2014 ed.): Matthew A Pons Real Analysis for the Undergraduate - With an Invitation to Functional Analysis (Hardcover, 2014 ed.)
Matthew A Pons
R2,559 Discovery Miles 25 590 Ships in 12 - 19 working days

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author's engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum.

Control of Quantum-Mechanical Processes and Systems (Hardcover, 1990 ed.): A.G. Butkovskiy, Yu I. Samoilenko Control of Quantum-Mechanical Processes and Systems (Hardcover, 1990 ed.)
A.G. Butkovskiy, Yu I. Samoilenko
R1,664 Discovery Miles 16 640 Ships in 10 - 15 working days

'Et moi ..... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point aIle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non. The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series."

Contemporary Research in Elliptic PDEs and Related Topics (Hardcover, 1st ed. 2019): Serena Dipierro Contemporary Research in Elliptic PDEs and Related Topics (Hardcover, 1st ed. 2019)
Serena Dipierro
R2,947 R1,662 Discovery Miles 16 620 Save R1,285 (44%) Ships in 12 - 19 working days

This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully nonlinear equations, nonlinear parabolic equations, overdetermined boundary value problems, maximum principles, geometric analysis, control theory, mean field games, and bio-mathematics. The authors are trailblazers in these topics and present their work in a way that is exhaustive and clearly accessible to PhD students and early career researcher. As such, the book offers an excellent introduction to a variety of fundamental topics of contemporary investigation and inspires novel and high-quality research.

Convergence Structures and Applications to Functional Analysis (Hardcover, 2002 ed.): R. Beattie, Heinz-Peter Butzmann Convergence Structures and Applications to Functional Analysis (Hardcover, 2002 ed.)
R. Beattie, Heinz-Peter Butzmann 1
R2,893 Discovery Miles 28 930 Ships in 10 - 15 working days

For many, modern functional analysis dates back to Banach's book [Ba32]. Here, such powerful results as the Hahn-Banach theorem, the open-mapping theorem and the uniform boundedness principle were developed in the setting of complete normed and complete metrizable spaces. When analysts realized the power and applicability of these methods, they sought to generalize the concept of a metric space and to broaden the scope of these theorems. Topological methods had been generally available since the appearance of Hausdorff's book in 1914. So it is surprising that it took so long to recognize that they could provide the means for this generalization. Indeed, the theory of topo- logical vector spaces was developed systematically only after 1950 by a great many different people, induding Bourbaki, Dieudonne, Grothendieck, Kothe, Mackey, Schwartz and Treves. The resulting body of work produced a whole new area of mathematics and generalized Banach's results. One of the great successes here was the development of the theory of distributions. While the not ion of a convergent sequence is very old, that of a convergent fil- ter dates back only to Cartan [Ca]. And while sequential convergence structures date back to Frechet [Fr], filter convergence structures are much more recent: [Ch], [Ko] and [Fi]. Initially, convergence spaces and convergence vector spaces were used by [Ko], [Wl], [Ba], [Ke64], [Ke65], [Ke74], [FB] and in particular [Bz] for topology and analysis.

Geometric Properties for Parabolic and Elliptic PDE's (Hardcover, 2013 Ed.): Rolando Magnanini, Shigeru Sakaguchi, Angelo... Geometric Properties for Parabolic and Elliptic PDE's (Hardcover, 2013 Ed.)
Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino
R3,896 R3,614 Discovery Miles 36 140 Save R282 (7%) Ships in 12 - 19 working days

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an increasing number of researchers and is now a broad and well-established research area, with contributions that often come from experts from disparate areas of mathematics, such as differential and convex geometry, functional analysis, calculus of variations, mathematical physics, to name a few. This volume collects a selection of original results and informative surveys by a group of international specialists in the field, analyzes new trends and techniques and aims at promoting scientific collaboration and stimulating future developments and perspectives in this very active area of research.

Discrete Hamiltonian Systems - Difference Equations, Continued Fractions, and Riccati Equations (Hardcover, 1996 ed.): Calvin... Discrete Hamiltonian Systems - Difference Equations, Continued Fractions, and Riccati Equations (Hardcover, 1996 ed.)
Calvin Ahlbrandt, A.C. Peterson
R8,507 Discovery Miles 85 070 Ships in 10 - 15 working days

This book should be accessible to students who have had a first course in matrix theory. The existence and uniqueness theorem of Chapter 4 requires the implicit function theorem, but we give a self-contained constructive proof ofthat theorem. The reader willing to accept the implicit function theorem can read the book without an advanced calculus background. Chapter 8 uses the Moore-Penrose pseudo-inverse, but is accessible to students who have facility with matrices. Exercises are placed at those points in the text where they are relevant. For U. S. universities, we intend for the book to be used at the senior undergraduate level or beginning graduate level. Chapter 2, which is on continued fractions, is not essential to the material of the remaining chapters, but is intimately related to the remaining material. Continued fractions provide closed form representations of the extreme solutions of some discrete matrix Riccati equations. Continued fractions solution methods for Riccati difference equations provide an approach analogous to series solution methods for linear differential equations. The book develops several topics which have not been available at this level. In particular, the material of the chapters on continued fractions (Chapter 2), symplectic systems (Chapter 3), and discrete variational theory (Chapter 4) summarize recent literature. Similarly, the material on transforming Riccati equations presented in Chapter 3 gives a self-contained unification of various forms of Riccati equations. Motivation for our approach to difference equations came from the work of Harris, Vaughan, Hartman, Reid, Patula, Hooker, Erbe & Van, and Bohner.

Ergodic Theorems and Related Problems (Hardcover, Reprint 2018): V.M. Shurenkov Ergodic Theorems and Related Problems (Hardcover, Reprint 2018)
V.M. Shurenkov
R5,411 Discovery Miles 54 110 Ships in 12 - 19 working days

In the theory of random processes the term 'ergodicity' has a wide variety of meanings. In the theory of stationary processes ergodicity is often identified with metric transitivity. In the theory of Markov processes, the word ergodic is applied to theorems of both the existence of transition probability limits and on the convergence of mean value ratios of these transition probabilities. In addition, there are also 'ergodic theorems' on the convergence of distributions of shifted random processes. In this monograph, the term 'ergodic' is understood in its original sense, i.e. the one it had when it was first adopted by the theory of random processes from statistical mechanics and Boltzmann's theory of gases. In this book, an ergodic theorem refers to any statement about the existence of a mean value with respect to trajectories of a random process taken with respect to time. The author takes the view that problems of the existence of time means, and their equality to phase means, are interesting without any assumptions about the distribution of the random process.

Blaschke Products and Their Applications (Hardcover, 2013 ed.): Javad Mashreghi, Emmanuel Fricain Blaschke Products and Their Applications (Hardcover, 2013 ed.)
Javad Mashreghi, Emmanuel Fricain
R2,915 Discovery Miles 29 150 Ships in 10 - 15 working days

Blaschke Products and Their Applications presents a collection of survey articles that examine Blaschke products and several of its applications to fields such as approximation theory, differential equations, dynamical systems, harmonic analysis, to name a few. Additionally, this volume illustrates the historical roots of Blaschke products and highlights key research on this topic. For nearly a century, Blaschke products have been researched. Their boundary behaviour, the asymptomatic growth of various integral means and their derivatives, their applications within several branches of mathematics, and their membership in different function spaces and their dynamics, are a few examples of where Blaschke products have shown to be important. The contributions written by experts from various fields of mathematical research will engage graduate students and researches alike, bringing the reader to the forefront of research in the topic. The readers will also discover the various open problems, enabling them to better pursue their own research."

Functional Analysis I - Linear Functional Analysis (Hardcover, 1992 ed.): Yu. I. Lyubich Functional Analysis I - Linear Functional Analysis (Hardcover, 1992 ed.)
Yu. I. Lyubich; Edited by N.K. Nikol'skij; Translated by I. Tweddle
R3,535 Discovery Miles 35 350 Ships in 10 - 15 working days

The twentieth-century view of the analysis of functions is dominated by the study of classes of functions. This volume of the Encyclopaedia covers the origins, development and applications of linear functional analysis, explaining along the way how one is led naturally to the modern approach.

Summability of Multi-Dimensional Fourier Series and Hardy Spaces (Hardcover, 2002 ed.): Ferenc Weisz Summability of Multi-Dimensional Fourier Series and Hardy Spaces (Hardcover, 2002 ed.)
Ferenc Weisz
R3,077 Discovery Miles 30 770 Ships in 10 - 15 working days

The history of martingale theory goes back to the early fifties when Doob [57] pointed out the connection between martingales and analytic functions. On the basis of Burkholder's scientific achievements the mar tingale theory can perfectly well be applied in complex analysis and in the theory of classical Hardy spaces. This connection is the main point of Durrett's book [60]. The martingale theory can also be well applied in stochastics and mathematical finance. The theories of the one-parameter martingale and the classical Hardy spaces are discussed exhaustively in the literature (see Garsia [83], Neveu [138], Dellacherie and Meyer [54, 55], Long [124], Weisz [216] and Duren [59], Stein [193, 194], Stein and Weiss [192], Lu [125], Uchiyama [205]). The theory of more-parameter martingales and martingale Hardy spaces is investigated in Imkeller [107] and Weisz [216]. This is the first mono graph which considers the theory of more-parameter classical Hardy spaces. The methods of proofs for one and several parameters are en tirely different; in most cases the theorems stated for several parameters are much more difficult to verify. The so-called atomic decomposition method that can be applied both in the one-and more-parameter cases, was considered for martingales by the author in [216].

Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics - Generalized Solitons and Hyperasymptotic Perturbation Theory... Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics - Generalized Solitons and Hyperasymptotic Perturbation Theory (Hardcover, 1998 ed.)
John P. Boyd
R3,234 Discovery Miles 32 340 Ships in 10 - 15 working days

This is the first thorough examination of weakly nonlocal solitary waves, which are just as important in applications as their classical counterparts. The book describes a class of waves that radiate away from the core of the disturbance but are nevertheless very long-lived nonlinear disturbances.

The Laplace Distribution and Generalizations - A Revisit with Applications to Communications, Economics, Engineering, and... The Laplace Distribution and Generalizations - A Revisit with Applications to Communications, Economics, Engineering, and Finance (Hardcover, 2001 ed.)
Samuel Kotz, Tomasz Kozubowski, Krzystof Podgorski
R3,199 Discovery Miles 31 990 Ships in 10 - 15 working days

This book describes the inferential and modeling advantages that this distribution, together with its generalizations and modifications, offers. The exposition systematically unfolds with many examples, tables, illustrations, and exercises. A comprehensive index and extensive bibliography also make this book an ideal text for a senior undergraduate and graduate seminar on statistical distributions, or for a short half-term academic course in statistics, applied probability, and finance.

Exercises in Functional Analysis (Hardcover, 2003 ed.): C. Costara, D. Popa Exercises in Functional Analysis (Hardcover, 2003 ed.)
C. Costara, D. Popa
R4,339 Discovery Miles 43 390 Ships in 12 - 19 working days

This book contains almost 450 exercises, all with complete solutions; it provides supplementary examples, counter-examples, and applications for the basic notions usually presented in an introductory course in Functional Analysis. Three comprehensive sections cover the broad topic of functional analysis. A large number of exercises on the weak topologies is included.

Interpolation Theory, Systems Theory and Related Topics - The Harry Dym Anniversary Volume (Hardcover, 2002 ed.): Daniel Alpay,... Interpolation Theory, Systems Theory and Related Topics - The Harry Dym Anniversary Volume (Hardcover, 2002 ed.)
Daniel Alpay, Israel Gohberg, Victor Vinnikov
R3,122 Discovery Miles 31 220 Ships in 10 - 15 working days

This volume is based on the proceedings of the Toeplitz Lectures 1999 and of the Workshop in Operator Theory held in March 1999 at Tel-Aviv University and at the Weizmann Institute of Science. The workshop was held on the occasion of the 60th birthday of Harry Dym, and the Toeplitz lecturers were Harry Dym and Jim Rovnyak. The papers in the volume reflect Harry's influence on the field of operator theory and its applications through his insights, his writings, and his personality. The volume begins with an autobiographical sketch, followed by the list ofpublications ofHarry Dym and the paper ofIsrael Gohberg: On Joint Work with Harry Dym. The following paper by Jim Rovnyak: Methods of Krdn Space Operator The- ory, is based on his Toeplitz lectures. It gives a survey ofold and recents methods of KreIn space operator theory along with examples from function theory, espe- cially substitution operators on indefinite Dirichlet spaces and their relation to coefficient problems for univalent functions, an idea pioneered by 1. de Branges and underlying his proof of the Bieberbach conjecture (see [9]). The remaining papers (arranged in the alphabetical order) can be divided into the following categories. Schur analysis and interpolation In Notes on Interpolation in the Generalized Schur Class. I, D. Alpay, T. Con- stantinescu, A. Dijksma, and J. Rovnyak use realization theory for operator colli- gations in Pontryagin spaces to study interpolation and factorization problems in generalized Schur classes.

Introduction to Large Truncated Toeplitz Matrices (Hardcover, 1999 ed.): Albrecht Boettcher, Bernd Silbermann Introduction to Large Truncated Toeplitz Matrices (Hardcover, 1999 ed.)
Albrecht Boettcher, Bernd Silbermann
R3,030 Discovery Miles 30 300 Ships in 10 - 15 working days

Introduction to Large Truncated Toeplitz Matrices is a text on the application of functional analysis and operator theory to some concrete asymptotic problems of linear algebra. The book contains results on the stability of projection methods, deals with asymptotic inverses and Moore-Penrose inversion of large Toeplitz matrices, and embarks on the asymptotic behavoir of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices. The approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C*-algebras and local principles in numerical analysis. The book includes classical topics as well as results obtained and methods developed only in the last few years. Though employing modern tools, the exposition is elementary and aims at pointing out the mathematical background behind some interesting phenomena one encounters when working with large Toeplitz matrices. The text is accessible to readers with basic knowledge in functional analysis. It is addressed to graduate students, teachers, and researchers with some inclination to concrete operator theory and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.

A Cp-Theory Problem Book - Topological and Function Spaces (Hardcover, 2011 ed.): Vladimir V. Tkachuk A Cp-Theory Problem Book - Topological and Function Spaces (Hardcover, 2011 ed.)
Vladimir V. Tkachuk
R2,467 Discovery Miles 24 670 Ships in 10 - 15 working days

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from each of these areas of research. Through over 500 carefully selected problems and exercises, this volume provides a self-contained introduction to Cp-theory and general topology. By systematically introducing each of the major topics in Cp-theory, this volume is designed to bring a dedicated reader from basic topological principles to the frontiers of modern research. Key features include: - A unique problem-based introduction to the theory of function spaces. - Detailed solutions to each of the presented problems and exercises. - A comprehensive bibliography reflecting the state-of-the-art in modern Cp-theory. - Numerous open problems and directions for further research. This volume can be used as a textbook for courses in both Cp-theory and general topology as well as a reference guide for specialists studying Cp-theory and related topics. This book also provides numerous topics for PhD specialization as well as a large variety of material suitable for graduate research.

Handbook of Continued Fractions for Special Functions (Hardcover, 2008 ed.): Annie A. M. Cuyt Handbook of Continued Fractions for Special Functions (Hardcover, 2008 ed.)
Annie A. M. Cuyt; Contributions by F. Backeljauw; Vigdis Petersen; Contributions by C. Bonan-Hamada; Brigitte Verdonk, …
R2,948 Discovery Miles 29 480 Ships in 10 - 15 working days

Special functions are pervasive in all fields of science and industry. The most well-known application areas are in physics, engineering, chemistry, computer science and statistics. Because of their importance, several books and websites (see for instance http: functions.wolfram.com) and a large collection of papers have been devoted to these functions. Of the standard work on the subject, namely the Handbook of Mathematical Functions with formulas, graphs and mathematical tables edited by Milton Abramowitz and Irene Stegun, the American National Institute of Standards claims to have sold over 700.000 copies But so far no project has been devoted to the systematic study of continued fraction representations for these functions. This handbook is the result of such an endeavour. We emphasise that only 10% of the continued fractions contained in this book, can also be found in the Abramowitz and Stegun project or at the Wolfram website

Commutative Harmonic Analysis I - General Survey. Classical Aspects (Hardcover, 1991 ed.): V.P. Khavin Commutative Harmonic Analysis I - General Survey. Classical Aspects (Hardcover, 1991 ed.)
V.P. Khavin; Translated by D. Khavinson; Contributions by E.M. Dynkin; Translated by S.V. Kislyakov; Edited by N.K. Nikol'skij; Contributions by …
R3,034 Discovery Miles 30 340 Ships in 10 - 15 working days

This volume is the first in the series devoted to the commutative harmonic analysis, a fundamental part of the contemporary mathematics. The fundamental nature of this subject, however, has been determined so long ago, that unlike in other volumes of this publication, we have to start with simple notions which have been in constant use in mathematics and physics. Planning the series as a whole, we have assumed that harmonic analysis is based on a small number of axioms, simply and clearly formulated in terms of group theory which illustrate its sources of ideas. However, our subject cannot be completely reduced to those axioms. This part of mathematics is so well developed and has so many different sides to it that no abstract scheme is able to cover its immense concreteness completely. In particular, it relates to an enormous stock of facts accumulated by the classical "trigonometric" harmonic analysis. Moreover, subjected to a general mathematical tendency of integration and diffusion of conventional intersubject borders, harmonic analysis, in its modem form, more and more rests on non-translation invariant constructions. For example, one ofthe most signifi cant achievements of latter decades, which has substantially changed the whole shape of harmonic analysis, is the penetration in this subject of subtle techniques of singular integral operators."

Boundary Value Problems for Operator Differential Equations (Hardcover, 1991 ed.): Myroslav L. Gorbachuk Boundary Value Problems for Operator Differential Equations (Hardcover, 1991 ed.)
Myroslav L. Gorbachuk
R3,083 Discovery Miles 30 830 Ships in 10 - 15 working days

One service mathematics has rendered the "Et moi, "'f si favait su comment en revenir. je n 'y serais point alleC human raoe. It hat put common sense back where it belongs. on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non. The series is divergent; therefore we may be smse'. Eric T. Bell able to do something with it. O. H eaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series."

Commutative Harmonic Analysis IV - Harmonic Analysis in IRn (Hardcover, 1992 ed.): J. Peetre Commutative Harmonic Analysis IV - Harmonic Analysis in IRn (Hardcover, 1992 ed.)
J. Peetre; Edited by V.P. Khavin; Contributions by Sh.A. Alimov; Edited by N.K. Nikolskii; Contributions by R.R. Ashurov, …
R3,010 Discovery Miles 30 100 Ships in 10 - 15 working days

With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.

Advances in Harmonic Analysis and Partial Differential Equations (Hardcover, 1st ed. 2020): Vladimir Georgiev, Tohru Ozawa,... Advances in Harmonic Analysis and Partial Differential Equations (Hardcover, 1st ed. 2020)
Vladimir Georgiev, Tohru Ozawa, Michael Ruzhansky, Jens Wirth
R5,126 Discovery Miles 51 260 Ships in 10 - 15 working days

This book originates from the session "Harmonic Analysis and Partial Differential Equations" held at the 12th ISAAC Congress in Aveiro, and provides a quick overview over recent advances in partial differential equations with a particular focus on the interplay between tools from harmonic analysis, functional inequalities and variational characterisations of solutions to particular non-linear PDEs. It can serve as a useful source of information to mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Banach Spaces and their Applications in Analysis - In Honor of Nigel Kalton's 60th Birthday (Hardcover, Reprint 2011):... Banach Spaces and their Applications in Analysis - In Honor of Nigel Kalton's 60th Birthday (Hardcover, Reprint 2011)
Beata Randrianantoanina, Narcisse Randrianantoanina
R6,000 R5,354 Discovery Miles 53 540 Save R646 (11%) Ships in 10 - 15 working days

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Handbook of Multivalued Analysis - Volume II: Applications (Hardcover, 2000 ed.): Shouchuan Hu, Nikolaos S. Papageorgiou Handbook of Multivalued Analysis - Volume II: Applications (Hardcover, 2000 ed.)
Shouchuan Hu, Nikolaos S. Papageorgiou
R4,545 Discovery Miles 45 450 Ships in 10 - 15 working days

In volume I we developed the tools of "Multivalued Analysis. " In this volume we examine the applications. After all, the initial impetus for the development of the theory of set-valued functions came from its applications in areas such as control theory and mathematical economics. In fact, the needs of control theory, in particular the study of systems with a priori feedback, led to the systematic investigation of differential equations with a multi valued vector field (differential inclusions). For this reason, we start this volume with three chapters devoted to set-valued differential equations. However, in contrast to the existing books on the subject (i. e. J. -P. Aubin - A. Cellina: "Differential Inclusions," Springer-Verlag, 1983, and Deimling: "Multivalued Differential Equations," W. De Gruyter, 1992), here we focus on "Evolution Inclusions," which are evolution equations with multi valued terms. Evolution equations were raised to prominence with the development of the linear semigroup theory by Hille and Yosida initially, with subsequent im portant contributions by Kato, Phillips and Lions. This theory allowed a successful unified treatment of some apparently different classes of nonstationary linear par tial differential equations and linear functional equations. The needs of dealing with applied problems and the natural tendency to extend the linear theory to the nonlinear case led to the development of the nonlinear semigroup theory, which became a very effective tool in the analysis of broad classes of nonlinear evolution equations."

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Now You Know How Mapetla Died - The…
Zikhona Valela Paperback R350 R328 Discovery Miles 3 280
Genetic Algorithms: Principles and…
Colin R. Reeves, Jonathan E Rowe Hardcover R4,399 Discovery Miles 43 990
Principles and Methods of Explainable…
Victor Hugo C. de Albuquerque, P Naga Srinivasu, … Hardcover R11,492 Discovery Miles 114 920
Cognitive and Affective Perspectives on…
Robert Z. Zheng Hardcover R5,815 Discovery Miles 58 150
Temporal Data Mining via Unsupervised…
Yun Yang Paperback R1,242 Discovery Miles 12 420
Intelligent Quality Assessment of…
Roberto Galeazzi, Hilmar Kjartansson Danielsen, … Hardcover R5,115 Discovery Miles 51 150
Introduction to Microlithography
Larry F. Thompson, C. Grant Willson, … Hardcover R5,071 Discovery Miles 50 710
The First Christmas - With Bible Verses…
Miriam Cobza Hardcover R704 R625 Discovery Miles 6 250
Mobile Edge Artificial Intelligence…
Yuanming Shi, Kai Yang, … Paperback R2,775 Discovery Miles 27 750
Our Words, Our Worlds - Writing On Black…
Makhosazana Xaba Paperback R315 R291 Discovery Miles 2 910

 

Partners