0
Your cart

Your cart is empty

Browse All Departments
Price
  • R100 - R250 (24)
  • R250 - R500 (51)
  • R500+ (2,694)
  • -
Status
Format
Author / Contributor
Publisher

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

Theory of Duality in Mathematical Programming (Hardcover, 1989 ed.): Manfred Walk Theory of Duality in Mathematical Programming (Hardcover, 1989 ed.)
Manfred Walk
R1,656 Discovery Miles 16 560 Ships in 12 - 17 working days

Courses on mathematical programming are now part of standard teaching programs of universities and institutes. The aim of this book is to introduce students of mathematics, economics, technology and other related subjects to the qualitative theory of mathematical programming in paired vector spaces. Prerequisite for the study of this book is only a basic knowledge of analysis, of elements of functional analysis and linear algebra. The application of elementary ideas of functional analysis is convenient for a more rigorous construction of proofs and for some generalizations of the finite dimensional theory on infinite dimensional Banach-spaces. An important feature of this book is the use of a principle of duality to formulate the theoretical basis of many different concrete programming problems. The main idea of the book is to present relations of duality and to construct a general theoretical basis for different special programming problems.

Q  Analysis on Euclidean Spaces (Hardcover): Jie Xiao Q Analysis on Euclidean Spaces (Hardcover)
Jie Xiao
R3,529 Discovery Miles 35 290 Ships in 12 - 17 working days

Starting with the fundamentals of Q spaces and their relationships to Besov spaces, this book presents all major results around Q spaces obtained in the past 16 years. The applications of Q spaces in the study of the incompressible Navier-Stokes system and its stationary form are also discussed. This self-contained book can be used as an essential reference for researchers and graduates in analysis and partial differential equations.

Polyfold and Fredholm Theory (Hardcover, 1st ed. 2021): Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder Polyfold and Fredholm Theory (Hardcover, 1st ed. 2021)
Helmut Hofer, Krzysztof Wysocki, Eduard Zehnder
R6,136 Discovery Miles 61 360 Ships in 12 - 17 working days

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth' spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts.

Advances in Mathematical Inequalities and Applications (Hardcover, 1st ed. 2018): Praveen Agarwal, Silvestru Sever Dragomir,... Advances in Mathematical Inequalities and Applications (Hardcover, 1st ed. 2018)
Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet
R3,414 Discovery Miles 34 140 Ships in 10 - 15 working days

This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; fractional integral inequalities; and weighted type integral inequalities. It also presents their wide applications in biomathematics, boundary value problems, mechanics, queuing models, scattering, and geomechanics in a concise, but easily understandable way that makes the further ramifications and future directions clear. The broad scope and high quality of the contributions make this book highly attractive for graduates, postgraduates and researchers. All the contributing authors are leading international academics, scientists, researchers and scholars.

Recent Progress in Inequalities (Hardcover, 1998 ed.): G.V. Milovanovic Recent Progress in Inequalities (Hardcover, 1998 ed.)
G.V. Milovanovic
R3,187 Discovery Miles 31 870 Ships in 10 - 15 working days

This volume is dedieated to Professor Dragoslav S. Mitrinovic (1908-1995), one of the most accomplished masters in the domain of inequalities. Inequalities are everywhere and play an important and significant role in almost all subjects of mathematies including other areas of sciences. Professor Mitrinovic often used to say: "There are no equalities, even in the human life, the inequalities are always met". Inequalities present a very active and attractive field of research. As Richard Bellman has so elegantly said at the Second International Conference on General Inequalities (Oberwolfach, July 30 - August 5, 1978): "There are three reasons for the study of inequalities: praetieal, theoretieal, and aesthetie. " On the aesthetie aspects he said: "As has been pointed out, beauty is in the eyes of the beholder. However, it is generally agreed that eertain pieees of musie, art, or mathematies are beautiful. There is an eleganee to inequalities that makes them very attraetive. " A great progress in inequalities was made by seven Oberwolfach conferences on inequalities with the corresponding seven volumes under the title General Inequal- ities 1 - 7, published by Birkhauser (1978, 1980, 1983, 1984, 1987, 1992, and 1997), as weIl as by several other international conferences dedieated to inequali- ties. One of these conferences was held in 1987 at the University of Birmingham, England, under the auspices of the London Mathematical Society, and dedieated to the work of G. H. Hardy, J. E. Littlewood and G.

Matrix Analysis (Hardcover, 1997 ed.): Rajendra Bhatia Matrix Analysis (Hardcover, 1997 ed.)
Rajendra Bhatia
R1,914 Discovery Miles 19 140 Ships in 12 - 17 working days

The aim of this book is to present a substantial part of matrix analysis that is functional analytic in spirit. Much of this will be of interest to graduate students and research workers in operator theory, operator algebras, mathematical physics and numerical analysis. The book can be used as a basic text for graduate courses on advanced linear algebra and matrix analysis. It can also be used as supplementary text for courses in operator theory and numerical analysis. Among topics covered are the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, perturbation of matrix functions and matrix inequalities. Much of this is presented for the first time in a unified way in a textbook. The reader will learn several powerful methods and techniques of wide applicability, and see connections with other areas of mathematics. A large selection of matrix inequalities will make this book a valuable reference for students and researchers who are working in numerical analysis, mathematical physics and operator theory.

Simulated Annealing for VLSI Design (Hardcover, 1988 ed.): D.F. Wong, H.W. Leong, H. W. Liu Simulated Annealing for VLSI Design (Hardcover, 1988 ed.)
D.F. Wong, H.W. Leong, H. W. Liu
R2,996 Discovery Miles 29 960 Ships in 10 - 15 working days

This monograph represents a summary of our work in the last two years in applying the method of simulated annealing to the solution of problems that arise in the physical design of VLSI circuits. Our study is experimental in nature, in that we are con cerned with issues such as solution representations, neighborhood structures, cost functions, approximation schemes, and so on, in order to obtain good design results in a reasonable amount of com putation time. We hope that our experiences with the techniques we employed, some of which indeed bear certain similarities for different problems, could be useful as hints and guides for other researchers in applying the method to the solution of other prob lems. Work reported in this monograph was partially supported by the National Science Foundation under grant MIP 87-03273, by the Semiconductor Research Corporation under contract 87-DP- 109, by a grant from the General Electric Company, and by a grant from the Sandia Laboratories."

Applied Functional Analysis - Applications to Mathematical Physics (Hardcover, 1st ed 1995. Corr. 3rd printing 1999): Eberhard... Applied Functional Analysis - Applications to Mathematical Physics (Hardcover, 1st ed 1995. Corr. 3rd printing 1999)
Eberhard Zeidler
R3,419 Discovery Miles 34 190 Ships in 10 - 15 working days

The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Infinitesimal Analysis (Hardcover, 2002 ed.): E.I. Gordon, A. G. Kusraev, Semen Samsonovich Kutateladze Infinitesimal Analysis (Hardcover, 2002 ed.)
E.I. Gordon, A. G. Kusraev, Semen Samsonovich Kutateladze
R3,128 Discovery Miles 31 280 Ships in 10 - 15 working days

Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics.

The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation.

This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0

Integral Operators in Non-Standard Function Spaces - Volume 2: Variable Exponent Hoelder, Morrey-Campanato and Grand Spaces... Integral Operators in Non-Standard Function Spaces - Volume 2: Variable Exponent Hoelder, Morrey-Campanato and Grand Spaces (Hardcover, 1st ed. 2016)
Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko
R3,197 Discovery Miles 31 970 Ships in 10 - 15 working days

This book, the result of the authors' long and fruitful collaboration, focuses on integral operators in new, non-standard function spaces and presents a systematic study of the boundedness and compactness properties of basic, harmonic analysis integral operators in the following function spaces, among others: variable exponent Lebesgue and amalgam spaces, variable Hoelder spaces, variable exponent Campanato, Morrey and Herz spaces, Iwaniec-Sbordone (grand Lebesgue) spaces, grand variable exponent Lebesgue spaces unifying the two spaces mentioned above, grand Morrey spaces, generalized grand Morrey spaces, and weighted analogues of some of them.The results obtained are widely applied to non-linear PDEs, singular integrals and PDO theory. One of the book's most distinctive features is that the majority of the statements proved here are in the form of criteria. The book is intended for a broad audience, ranging from researchers in the area to experts in applied mathematics and prospective students.

Fixed Point Theory in Metric Spaces - Recent Advances and Applications (Hardcover, 1st ed. 2018): Praveen Agarwal, Mohamed... Fixed Point Theory in Metric Spaces - Recent Advances and Applications (Hardcover, 1st ed. 2018)
Praveen Agarwal, Mohamed Jleli, Bessem Samet
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of - contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky-Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.

An Introduction to Wavelets Through Linear Algebra (Hardcover, 1st ed. 1999. Corr. 2nd printing 2001): Michael W. Frazier An Introduction to Wavelets Through Linear Algebra (Hardcover, 1st ed. 1999. Corr. 2nd printing 2001)
Michael W. Frazier
R1,929 Discovery Miles 19 290 Ships in 12 - 17 working days

The mathematical theory of wavelets is less than 15 years old, yet already wavelets have become a fundamental tool in many areas of applied mathematics and engineering. This introduction to wavelets assumes a basic background in linear algebra (reviewed in Chapter 1) and real analysis at the undergraduate level. Fourier and wavelet analyses are first presented in the finite-dimensional context, using only linear algebra. Then Fourier series are introduced in order to develop wavelets in the infinite-dimensional, but discrete context. Finally, the text discusses Fourier transform and wavelet theory on the real line. The computation of the wavelet transform via filter banks is emphasized, and applications to signal compression and numerical differential equations are given. This text is ideal for a topics course for mathematics majors, because it exhibits and emerging mathematical theory with many applications. It also allows engineering students without graduate mathematics prerequisites to gain a practical knowledge of wavelets.

Elementary Functional Analysis (Hardcover, 1st Edition.
2nd Printing. 2008): Barbara MacCluer Elementary Functional Analysis (Hardcover, 1st Edition. 2nd Printing. 2008)
Barbara MacCluer
R1,972 Discovery Miles 19 720 Ships in 12 - 17 working days

Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance was the inevitable consequence of the evolution of all of nineteenth-century mathematics, in particular classical analysis and mathematical physics. Its original basis was formed by Cantor's theory of sets and linear algebra. Its existence answered the question of how to state general principles of a broadly interpreted analysis in a way suitable for the most diverse situations. A.M. Vershik ( 45], p. 438). This text evolved from the content of a one semester introductory course in fu- tional analysis that I have taught a number of times since 1996 at the University of Virginia. My students have included ?rst and second year graduate students prep- ing for thesis work in analysis, algebra, or topology, graduate students in various departments in the School of Engineering and Applied Science, and several und- graduate mathematics or physics majors. After a ?rst draft of the manuscript was completed, it was also used for an independent reading course for several und- graduates preparing for graduate school.

Functional Analysis - Vol. I (Hardcover, 1996 ed.): Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us Functional Analysis - Vol. I (Hardcover, 1996 ed.)
Yurij M. Berezansky, Zinovij G. Sheftel, Georgij F. Us
R4,495 Discovery Miles 44 950 Ships in 12 - 17 working days

"Functional Analysis" is a comprehensive, 2-volume treatment of a subject lying at the core of modern analysis and mathematical physics. The first volume reviews basic concepts such as the measure, the integral, Banach spaces, bounded operators and generalized functions. Volume II moves on to more advanced topics including unbounded operators, spectral decomposition, expansion in generalized eigenvectors, rigged spaces, and partial differential operators. This text provides students of mathematics and physics with a clear introduction into the above concepts, with the theory well illustrated by a wealth of examples. Researchers will appreciate it as a useful reference manual.

Dual Variational Approach to Nonlinear Diffusion Equations (Hardcover, 1st ed. 2023): Gabriela Marinoschi Dual Variational Approach to Nonlinear Diffusion Equations (Hardcover, 1st ed. 2023)
Gabriela Marinoschi
R3,623 Discovery Miles 36 230 Ships in 10 - 15 working days

This monograph explores a dual variational formulation of solutions to nonlinear diffusion equations with general nonlinearities as null minimizers of appropriate energy functionals. The author demonstrates how this method can be utilized as a convenient tool for proving the existence of these solutions when others may fail, such as in cases of evolution equations with nonautonomous operators, with low regular data, or with singular diffusion coefficients. By reducing it to a minimization problem, the original problem is transformed into an optimal control problem with a linear state equation. This procedure simplifies the proof of the existence of minimizers and, in particular, the determination of the first-order conditions of optimality. The dual variational formulation is illustrated in the text with specific diffusion equations that have general nonlinearities provided by potentials having various stronger or weaker properties. These equations can represent mathematical models to various real-world physical processes. Inverse problems and optimal control problems are also considered, as this technique is useful in their treatment as well.

Applied Dimensional Analysis and Modeling (Hardcover, 2nd edition): Thomas Szirtes Applied Dimensional Analysis and Modeling (Hardcover, 2nd edition)
Thomas Szirtes
R4,545 Discovery Miles 45 450 Ships in 12 - 17 working days

Applied Dimensional Analysis and Modeling provides the full mathematical background and step-by-step procedures for employing dimensional analyses, along with a wide range of applications to problems in engineering and applied science, such as fluid dynamics, heat flow, electromagnetics, astronomy and economics. This new edition offers additional worked-out examples in mechanics, physics, geometry, hydrodynamics, and biometry.
* Covers 4 essential aspects and applications:
- principal characteristics of dimensional systems
- applications of dimensional techniques in engineering, mathematics and geometry
- applications in biosciences, biometry and economics
- applications in astronomy and physics
* Offers more than 250 worked-out examples and problems with solutions
* Provides detailed descriptions of techniques of both dimensional analysis and dimensional modeling

Counting with Symmetric Functions (Hardcover, 1st ed. 2015): Jeffrey Remmel, Anthony Mendes Counting with Symmetric Functions (Hardcover, 1st ed. 2015)
Jeffrey Remmel, Anthony Mendes
R3,147 Discovery Miles 31 470 Ships in 12 - 17 working days

This monograph provides a self-contained introduction to symmetric functions and their use in enumerative combinatorics. It is the first book to explore many of the methods and results that the authors present. Numerous exercises are included throughout, along with full solutions, to illustrate concepts and also highlight many interesting mathematical ideas. The text begins by introducing fundamental combinatorial objects such as permutations and integer partitions, as well as generating functions. Symmetric functions are considered in the next chapter, with a unique emphasis on the combinatorics of the transition matrices between bases of symmetric functions. Chapter 3 uses this introductory material to describe how to find an assortment of generating functions for permutation statistics, and then these techniques are extended to find generating functions for a variety of objects in Chapter 4. The next two chapters present the Robinson-Schensted-Knuth algorithm and a method for proving Polya's enumeration theorem using symmetric functions. Chapters 7 and 8 are more specialized than the preceding ones, covering consecutive pattern matches in permutations, words, cycles, and alternating permutations and introducing the reciprocity method as a way to define ring homomorphisms with desirable properties. Counting with Symmetric Functions will appeal to graduate students and researchers in mathematics or related subjects who are interested in counting methods, generating functions, or symmetric functions. The unique approach taken and results and exercises explored by the authors make it an important contribution to the mathematical literature.

Algebraic Methods in Operator Theory (Hardcover, 1994 ed.): Raul E. Curto, Palle E. T. Jorgensen Algebraic Methods in Operator Theory (Hardcover, 1994 ed.)
Raul E. Curto, Palle E. T. Jorgensen
R4,477 Discovery Miles 44 770 Ships in 12 - 17 working days

The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T."

Introduction to Tensor Products of Banach Spaces (Hardcover, 2002 ed.): Raymond A. Ryan Introduction to Tensor Products of Banach Spaces (Hardcover, 2002 ed.)
Raymond A. Ryan
R3,789 Discovery Miles 37 890 Ships in 12 - 17 working days

This volume provides a self-contained introduction to the theory of tensor products of Banach spaces. It is written for graduate students in analysis or for researchers in other fields who wish to become acquainted with this area. The only prerequisites are a basic knowledge of functional analysis and measure theory.Features of particular interest include:- A full treatment of the Grothendieck theory of tensor norms;- Coverage of the Chevet-Saphar norms and their duals, along with the associated classes of nuclear, integral and summing operators;- Chapters on the approximation property and the Radon-Nikodym property;- Topics such as the Bochner and Pettis integrals, the principle of local reflexivity and the Grothendieck inequality placed in a natural setting;- The classes of operators generated by a tensor norm and connections with the theory of operator ideals.Each chapter is accompanied by worked examples and a set of exercises, and two appendices provide essential material on summability in Banach spaces and properties of spaces of measures that may be new to the beginner.

Wavelets and Signal Processing - An Application-Based Introduction (Hardcover, 2005 ed.): Hans-Georg Stark Wavelets and Signal Processing - An Application-Based Introduction (Hardcover, 2005 ed.)
Hans-Georg Stark
R1,611 Discovery Miles 16 110 Ships in 10 - 15 working days

Provides a textbook treatment that is concise and practical introduction to the underlying foundations and important applications.

Through numerous examples and case studies from industry, it demonstrates both the potential and the limits of wavelet techniques, expanding the usual treatment beyond the discrete wavelet transform to the continuous transform.

Providing the basics of Fourier transforms and digital filters in the appendix, the text is supplemented with end-of-chapter exercises, MatLab code, and a short introduction to the MATLAB wavelet toolbox.

A First Course in Functional Analysis (Hardcover): SD Promislow A First Course in Functional Analysis (Hardcover)
SD Promislow
R4,475 Discovery Miles 44 750 Ships in 12 - 17 working days

A concise introduction to the major concepts of functional analysis

Requiring only a preliminary knowledge of elementary linear algebra and real analysis, A First Course in Functional Analysis provides an introduction to the basic principles and practical applications of functional analysis. Key concepts are illustrated in a straightforward manner, which facilitates a complete and fundamental understanding of the topic.

This book is based on the author's own class-tested material and uses clear language to explain the major concepts of functional analysis, including Banach spaces, Hilbert spaces, topological vector spaces, as well as bounded linear functionals and operators. As opposed to simply presenting the proofs, the author outlines the logic behind the steps, demonstrates the development of arguments, and discusses how the concepts are connected to one another. Each chapter concludes with exercises ranging in difficulty, giving readers the opportunity to reinforce their comprehension of the discussed methods. An appendix provides a thorough introduction to measure and integration theory, and additional appendices address the background material on topics such as Zorn's lemma, the Stone-Weierstrass theorem, Tychonoff's theorem on product spaces, and the upper and lower limit points of sequences. References to various applications of functional analysis are also included throughout the book.

A First Course in Functional Analysis is an ideal text for upper-undergraduate and graduate-level courses in pure and applied mathematics, statistics, and engineering. It also serves as a valuable reference for practitioners across various disciplines, including the physical sciences, economics, and finance, who would like to expand their knowledge of functional analysis.

Inverse Spectra, Volume 53 (Hardcover): A. Chigogidze Inverse Spectra, Volume 53 (Hardcover)
A. Chigogidze
R3,957 Discovery Miles 39 570 Ships in 12 - 17 working days

This is a comprehensive introduction into the method of inverse spectra - a powerful method successfully employed in various branches of topology.

The notion of an inverse sequence and its limits, first appeared in the well-known memoir by Alexandrov where a special case of inverse spectra - the so-called projective spectra - were considered. The concept of an inverse spectrum in its present form was first introduced by Lefschetz. Meanwhile, Freudental, had introduced the notion of a morphism of inverse spectra. The foundations of the entire method of inverse spectra were laid down in these basic works.

Subsequently, inverse spectra began to be widely studied and applied, not only in the various major branches of topology, but also in functional analysis and algebra. This is not surprising considering the categorical nature of inverse spectra and the extraordinary power of the related techniques.

Updated surveys (including proofs of several statements) of the Hilbert cube and Hilbert space manifold theories are included in the book. Recent developments of the Menger and Nobeling manifold theories are also presented.

This work significantly extends and updates the author's previously published book and has been completely rewritten in order to incorporate new developments in the field.

Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume (Hardcover, 2003 ed.):... Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume (Hardcover, 2003 ed.)
Dorothee Haroske, Thomas Runst, Hans-Jurgen Schmeisser
R2,903 R1,705 Discovery Miles 17 050 Save R1,198 (41%) Ships in 12 - 17 working days

This volume is dedicated to our teacher and friend Hans Triebel. The core of the book is based on lectures given at the International Conference "Function Spaces, Differential Operators and Nonlinear Analysis" (FSDONA--01) held in Teistungen, Thuringia / Germany, from June 28 to July 4,2001, in honour of his 65th birthday. This was the fifth in a series of meetings organised under the same name by scientists from Finland (Helsinki, Oulu) , the Czech Republic (Prague, Plzen) and Germany (Jena) promoting the collaboration of specialists in East and West, working in these fields. This conference was a very special event because it celebrated Hans Triebel's extraordinary impact on mathematical analysis. The development of the mod ern theory of function spaces in the last 30 years and its application to various branches in both pure and applied mathematics is deeply influenced by his lasting contributions. In a series of books Hans Triebel has given systematic treatments of the theory of function spaces from different points of view, thus revealing its interdependence with interpolation theory, harmonic analysis, partial differential equations, nonlinear operators, entropy, spectral theory and, most recently, anal ysis on fractals. The presented collection of papers is a tribute to Hans Triebel's distinguished work. The book is subdivided into three parts: * Part I contains the two invited lectures by O.V. Besov (Moscow) and D.E. Edmunds (Sussex) having a survey character and honouring Hans Triebel's contributions.

The Fourier Transform in Biomedical Engineering (Hardcover, 1998 ed.): Terry M. Peters, Jacqueline C. Williams The Fourier Transform in Biomedical Engineering (Hardcover, 1998 ed.)
Terry M. Peters, Jacqueline C. Williams
R2,883 Discovery Miles 28 830 Ships in 10 - 15 working days

In 1994, in my role as Technical Program Chair for the 17th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, I solicited proposals for mini-symposia to provide delegates with accessible summaries of important issues in research areas outside their particular specializations. Terry Peters and his colleagues submitted a proposal for a symposium on Fourier Trans forms and Biomedical Engineering whose goal was "to demystify the Fourier transform and describe its practical application in biomedi cal situations." This was to be achieved by presenting the concepts in straightforward, physical terms with examples drawn for the parti cipants work in physiological signal analysis and medical imaging. The mini-symposia proved to be a great success and drew a large and appreciative audience. The only complaint being that the time allocated, 90 minutes, was not adequate to allow the participants to elaborate their ideas adequately. I understand that this feedback helped the authors to develop this book."

A Course in Functional Analysis (Hardcover, 2nd ed. 1990. Corr. 4th printing 1994): John B. Conway A Course in Functional Analysis (Hardcover, 2nd ed. 1990. Corr. 4th printing 1994)
John B. Conway
R1,784 Discovery Miles 17 840 Ships in 12 - 17 working days

This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included.

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Herc
Phoenicia Rogerson Paperback R380 R339 Discovery Miles 3 390
The Saints Of Salvation
Peter F. Hamilton Paperback R461 R429 Discovery Miles 4 290
Het Ek My Geloof Verloor?
Pierre du Plessis Paperback R285 R267 Discovery Miles 2 670
Orbital
Samantha Harvey Paperback R275 R254 Discovery Miles 2 540
Prayers To Strengthen Your Soul - 365…
Karen Moore Paperback R460 R423 Discovery Miles 4 230
Boxeteen
David Samuelson Hardcover R747 R663 Discovery Miles 6 630
Hillary Rodham Clinton: Her Essential…
Carol Kelly-Gangi Hardcover R294 R269 Discovery Miles 2 690
Resilient - Restoring Your Weary Soul In…
John Eldredge Paperback R329 R302 Discovery Miles 3 020
Four Ruined Realms - The Broken Blades…
Mai Corland Hardcover R784 R580 Discovery Miles 5 800
The Oxford Dictionary of American…
Hugh Rawson, Margaret Miner Hardcover R1,078 Discovery Miles 10 780

 

Partners