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

Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum... Problems And Solutions In Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions And Quantum Mechanics (Hardcover)
Willi-Hans Steeb, Wolfgang Mathis
R3,596 Discovery Miles 35 960 Ships in 10 - 15 working days

This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students with instructive problems along with problem-solving strategies. Programming problems with solutions are also included.

Extremum Seeking through Delays and PDEs (Hardcover): Tiago Roux Oliveira, Miroslav Krstic Extremum Seeking through Delays and PDEs (Hardcover)
Tiago Roux Oliveira, Miroslav Krstic
R3,284 R2,883 Discovery Miles 28 830 Save R401 (12%) Ships in 12 - 17 working days

Extremum Seeking through Delays and PDEs, the first book on the topic, expands the scope of applicability of the extremum seeking method, from static and finite-dimensional systems to infinite-dimensional systems. Readers will find: Numerous algorithms for model-free real-time optimization are developed and their convergence guaranteed. Extensions from single-player optimization to noncooperative games, under delays and pdes, are provided. The delays and pdes are compensated in the control designs using the pde backstepping approach, and stability is ensured using infinite-dimensional versions of averaging theory. Accessible and powerful tools for analysis. This book is intended for control engineers in all disciplines (electrical, mechanical, aerospace, chemical), mathematicians, physicists, biologists, and economists. It is appropriate for graduate students, researchers, and industrial users.

Bloch-type Periodic Functions: Theory And Applications To Evolution Equations (Hardcover): Yong-kui Chang, Gaston Mandata... Bloch-type Periodic Functions: Theory And Applications To Evolution Equations (Hardcover)
Yong-kui Chang, Gaston Mandata N'G'Uerekata, Rodrigo Ponce
R2,064 Discovery Miles 20 640 Ships in 10 - 15 working days

This monograph aims to provide for the first time a unified and homogenous presentation of the recent works on the theory of Bloch periodic functions, their generalizations, and their applications to evolution equations. It is useful for graduate students and beginning researchers as seminar topics, graduate courses and reference text in pure and applied mathematics, physics, and engineering.

Fractals - Form, Chance and Dimension (Hardcover, Reprint ed.): Benoit B. Mandelbrot Fractals - Form, Chance and Dimension (Hardcover, Reprint ed.)
Benoit B. Mandelbrot
R1,059 Discovery Miles 10 590 Ships in 10 - 15 working days
Finite-Dimensional Vector Spaces (Hardcover): Paul Halmos Finite-Dimensional Vector Spaces (Hardcover)
Paul Halmos
R610 Discovery Miles 6 100 Ships in 12 - 17 working days
Theory (Hardcover, 2nd corr. and exten. edition): Steven Lord, Fedor Sukochev, Dmitriy Zanin Theory (Hardcover, 2nd corr. and exten. edition)
Steven Lord, Fedor Sukochev, Dmitriy Zanin
R4,227 Discovery Miles 42 270 Ships in 12 - 17 working days

This book is the second edition of the first complete study and monograph dedicated to singular traces. The text offers, due to the contributions of Albrecht Pietsch and Nigel Kalton, a complete theory of traces and their spectral properties on ideals of compact operators on a separable Hilbert space. The second edition has been updated on the fundamental approach provided by Albrecht Pietsch. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference to traces on weak trace class operators, including Dixmier traces and associated formulas involving residues of spectral zeta functions and asymptotics of partition functions.

Operator Theory - Proceedings of the International Conference on Operator Theory, Hammamet, Tunisia, April 30 - May 3, 2018... Operator Theory - Proceedings of the International Conference on Operator Theory, Hammamet, Tunisia, April 30 - May 3, 2018 (Hardcover)
Aref Jeribi
R3,974 Discovery Miles 39 740 Ships in 12 - 17 working days

This proceedings volume collects select contributions presented at the International Conference in Operator Theory held at Hammamet, Tunisia, on April 30 May 3, 2018. Edited and refereed by well-known experts in the field, this wide-ranging collection of survey and research articles presents the state of the art in the field of operator theory, covering topics such as operator and spectral theory, fixed point theory, functional analysis etc.

Ridge Functions and Applications in Neural Networks (Paperback): Vugar E. Ismailov Ridge Functions and Applications in Neural Networks (Paperback)
Vugar E. Ismailov
R3,197 Discovery Miles 31 970 Ships in 12 - 17 working days

Recent years have witnessed a growth of interest in the special functions called ridge functions. These functions appear in various fields and under various guises. They appear in partial differential equations (where they are called plane waves), in computerized tomography, and in statistics. Ridge functions are also the underpinnings of many central models in neural network theory. In this book various approximation theoretic properties of ridge functions are described. This book also describes properties of generalized ridge functions, and their relation to linear superpositions and Kolmogorov's famous superposition theorem. In the final part of the book, a single and two hidden layer neural networks are discussed. The results obtained in this part are based on properties of ordinary and generalized ridge functions. Novel aspects of the universal approximation property of feedforward neural networks are revealed. This book will be of interest to advanced graduate students and researchers working in functional analysis, approximation theory, and the theory of real functions, and will be of particular interest to those wishing to learn more about neural network theory and applications and other areas where ridge functions are used.

Dynamical Systems Method for Solving Nonlinear Operator Equations, Volume 208 (Hardcover, 208th edition): Alexander G. Ramm Dynamical Systems Method for Solving Nonlinear Operator Equations, Volume 208 (Hardcover, 208th edition)
Alexander G. Ramm
R4,016 Discovery Miles 40 160 Ships in 12 - 17 working days

The book is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved
in the book, and some of the background material is also included. The results presented are mostly obtained by the author.
- Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed
- Self-contained, suitable for wide audience
- Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)

Hausdorff Calculus - Applications to Fractal Systems (Hardcover): Yingjie Liang, Wen Chen, Wei Cai Hausdorff Calculus - Applications to Fractal Systems (Hardcover)
Yingjie Liang, Wen Chen, Wei Cai
R4,408 Discovery Miles 44 080 Ships in 12 - 17 working days

This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.

Applications of Functional Analysis and Operator Theory, Volume 200 (Hardcover, 2nd edition): V. Hutson, J Pym, M. Cloud Applications of Functional Analysis and Operator Theory, Volume 200 (Hardcover, 2nd edition)
V. Hutson, J Pym, M. Cloud
R6,660 Discovery Miles 66 600 Ships in 10 - 15 working days

Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces.
Key Features
- Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering.
- Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.
- Introduces each new topic with a clear, concise explanation.
- Includes numerous examples linking fundamental principles with applications.
- Solidifies the reader's understanding with numerous end-of-chapter problems.
-Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering.
-Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.
-Introduces each new topic with a clear, concise explanation.
-Includes numerous examples linking fundamental principles with applications.
-Solidifies the reader's understanding with numerous end-of-chapter problems.

Measure Theory And Functional Analysis (Hardcover): Nik Weaver Measure Theory And Functional Analysis (Hardcover)
Nik Weaver
R2,223 Discovery Miles 22 230 Ships in 12 - 17 working days

This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

Functional Analysis and its Applications, Volume 197 - Proceedings of the International Conference on Functional Analysis and... Functional Analysis and its Applications, Volume 197 - Proceedings of the International Conference on Functional Analysis and its Applications dedicated to the 110th Anniversary of Stefan Banach, May 28-31, 2002, Lviv, Ukraine (Hardcover, New)
Vladimir Kadets, Wieslaw Tadeusz Zelazko
R4,844 Discovery Miles 48 440 Ships in 12 - 17 working days

The conference took place in Lviv, Ukraine and was dedicated to a famous Polish mathematician Stefan Banach { the most outstanding representative of the Lviv mathematical school. Banach spaces, introduced by Stefan Banach at the beginning of twentieth century, are familiar now to every mathematician. The book contains a short historical article and scientific contributions of the conference participants, mostly in the areas of functional analysis, general topology, operator theory and related topics.

Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback): Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations (Paperback)
Tsung-Ming Huang, Ren-Cang Li, Wen-Wei Lin
R1,678 Discovery Miles 16 780 Ships in 12 - 17 working days

Nonlinear matrix equations arise frequently in applied science and engineering. This is the first book to provide a unified treatment of structure-preserving doubling algorithms, which have been recently studied and proven effective for notoriously challenging problems, such as fluid queue theory and vibration analysis for high-speed trains. The authors present recent developments and results for the theory of doubling algorithms for nonlinear matrix equations associated with regular matrix pencils, and highlight the use of these algorithms in achieving robust solutions for notoriously challenging problems that other methods cannot. Structure-Preserving Doubling Algorithms for Nonlinear Matrix Equations is intended for researchers and computational scientists. Graduate students may also find it of interest.

Tensor Norms and Operator Ideals, Volume 176 (Hardcover): A. Defant, K. Floret Tensor Norms and Operator Ideals, Volume 176 (Hardcover)
A. Defant, K. Floret
R2,006 Discovery Miles 20 060 Ships in 12 - 17 working days

The three chapters of this book are entitled Basic Concepts, Tensor Norms, and Special Topics. The first may serve as part of an introductory course in Functional Analysis since it shows the powerful use of the projective and injective tensor norms, as well as the basics of the theory of operator ideals. The second chapter is the main part of the book: it presents the theory of tensor norms as designed by Grothendieck in the Resume and deals with the relation between tensor norms and operator ideals. The last chapter deals with special questions. Each section is accompanied by a series of exercises.

Distribution Theory - With Applications in Engineering and Physics (Hardcover): P.P. Teodorescu Distribution Theory - With Applications in Engineering and Physics (Hardcover)
P.P. Teodorescu
R4,096 R3,286 Discovery Miles 32 860 Save R810 (20%) Out of stock

In this comprehensive monograph, the authors apply modern mathematical methods to the study of mechanical and physical phenomena or techniques in acoustics, optics, and electrostatics, where classical mathematical tools fail. They present a general method of approaching problems, pointing out different aspects and difficulties that may occur. With respect to the theory of distributions, only the results and the principle theorems are given as well as some mathematical results. The book also systematically deals with a large number of applications to problems of general Newtonian mechanics, as well as to problems pertaining to the mechanics of deformable solids and physics. Special attention is placed upon the introduction of corresponding mathematical models. Addressed to a wide circle of readers who use mathematical methods in their work: applied mathematicians, engineers in various branches, as well as physicists, while also benefiting students in various fields.

Schur-Convex Functions and Inequalities - Volume 2: Applications in Inequalities (Hardcover): Huan-nan Shi Schur-Convex Functions and Inequalities - Volume 2: Applications in Inequalities (Hardcover)
Huan-nan Shi; Contributions by Harbin Institute of Technology
R4,458 Discovery Miles 44 580 Ships in 12 - 17 working days

This two-volume work introduces the theory and applications of Schur-convex functions. The second volume mainly focuses on the application of Schur-convex functions in sequences inequalities, integral inequalities, mean value inequalities for two variables, mean value inequalities for multi-variables, and in geometric inequalities.

Smooth Analysis in Banach Spaces (Hardcover, Digital original): Petr Hajek, Michal Johanis Smooth Analysis in Banach Spaces (Hardcover, Digital original)
Petr Hajek, Michal Johanis
R5,160 Discovery Miles 51 600 Ships in 12 - 17 working days

This book is about the subject of higher smoothness in separable real Banach spaces. It brings together several angles of view on polynomials, both in finite and infinite setting. Also a rather thorough and systematic view of the more recent results, and the authors work is given. The book revolves around two main broad questions: What is the best smoothness of a given Banach space, and its structural consequences? How large is a supply of smooth functions in the sense of approximating continuous functions in the uniform topology, i.e. how does the Stone-Weierstrass theorem generalize into infinite dimension where measure and compactness are not available? The subject of infinite dimensional real higher smoothness is treated here for the first time in full detail, therefore this book may also serve as a reference book.

Supersymmetry (Hardcover): Vladimir K Dobrev Supersymmetry (Hardcover)
Vladimir K Dobrev
R3,710 Discovery Miles 37 100 Ships in 12 - 17 working days

With applications in quantum field theory, general relativity and elementary particle physics, this four-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This third volume covers supersymmetry, including detailed coverage of conformal supersymmetry in four and some higher dimensions, furthermore quantum superalgebras are also considered. Contents Lie superalgebras Conformal supersymmetry in 4D Examples of conformal supersymmetry for D > 4 Quantum superalgebras

Classical and Multidimensional Lorentz Spaces (Hardcover): Rene Erlin Castillo, Hector Camilo Chaparro Classical and Multidimensional Lorentz Spaces (Hardcover)
Rene Erlin Castillo, Hector Camilo Chaparro
R5,238 Discovery Miles 52 380 Ships in 12 - 17 working days

This work is solely dedicated to the study of both the one variable as well as the multidimensional Lorentz spaces covering the theory of Lebesgue type spaces invariant by rearrangement. The authors provide proofs in full detail for most theorems. The self-contained text is valuable for advanced students and researchers.

The Mathematical Legacy of Victor Lomonosov - Operator Theory (Hardcover): Richard M Aron, Eva A. Gallardo-Gutierrez, Miguel... The Mathematical Legacy of Victor Lomonosov - Operator Theory (Hardcover)
Richard M Aron, Eva A. Gallardo-Gutierrez, Miguel Martin, Dmitry Ryabogin, Ilya M. Spitkovsky, …
R4,055 Discovery Miles 40 550 Ships in 12 - 17 working days

The fundamental contributions made by the late Victor Lomonosov in several areas of analysis are revisited in this book, in particular, by presenting new results and future directions from world-recognized specialists in the field. The invariant subspace problem, Burnside's theorem, and the Bishop-Phelps theorem are discussed in detail. This volume is an essential reference to both researchers and graduate students in mathematical analysis.

Hoermander Spaces, Interpolation, and Elliptic Problems (Hardcover): Vladimir A. Mikhailets, Aleksandr A. Murach Hoermander Spaces, Interpolation, and Elliptic Problems (Hardcover)
Vladimir A. Mikhailets, Aleksandr A. Murach; Translated by Peter V Malyshev
R4,065 Discovery Miles 40 650 Ships in 12 - 17 working days

The monograph gives a detailed exposition of the theory of general elliptic operators (scalar and matrix) and elliptic boundary value problems in Hilbert scales of Hormander function spaces. This theory was constructed by the authors in a number of papers published in 2005 2009. It is distinguished by a systematic use of the method of interpolation with a functional parameter of abstract Hilbert spaces and Sobolev inner product spaces. This method, the theory and their applications are expounded for the first time in the monographic literature. The monograph is written in detail and in a reader-friendly style. The complete proofs of theorems are given. This monograph is intended for a wide range of mathematicians whose research interests concern with mathematical analysis and differential equations."

Functional Analysis (Hardcover, 2nd Revised edition): P.K. Jain, O.P. Ahuja Functional Analysis (Hardcover, 2nd Revised edition)
P.K. Jain, O.P. Ahuja
R1,072 Discovery Miles 10 720 Ships in 12 - 17 working days

Functional Analysis is based on the lecture notes of distinguished authors and is designed to cater to the needs of students who are yet to be exposed to the subject, as well as senior undergraduate- and graduate-level students at universities the world over. The text begins with a preliminary chapter that establishes uniform notations and covers background material in real analysis, linear algebra, and metric spaces. It is followed by chapters on Normed and Banach Spaces, Bounded Linear Operators and Bounded Linear Functional. This text also deals with the concept and specific geometry of Hilbert Spaces, Functional and Operators on Hilbert Spaces, and an Introduction to Spectral Theory. The appendix provides an introduction to Schauder Bases. This is a second edition, written in a more simple and lucid language and illustrated with familiar examples. It is an ideal textbook for easy comprehension of the subject. The clear explanations, numerous examples, problems and illustrative figures also make the text invaluable for self-study and as a reference book.

Recent Progress in General Topology (Hardcover): M. Husek, J Van Mill Recent Progress in General Topology (Hardcover)
M. Husek, J Van Mill
R6,316 Discovery Miles 63 160 Ships in 12 - 17 working days

These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991.

This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

Positive Dynamical Systems in Discrete Time - Theory, Models, and Applications (Hardcover): Ulrich Krause Positive Dynamical Systems in Discrete Time - Theory, Models, and Applications (Hardcover)
Ulrich Krause
R4,796 Discovery Miles 47 960 Ships in 12 - 17 working days

This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

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