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

Nonlinear Functional Analysis and its Applications - IV: Applications to Mathematical Physics (Hardcover, 1st ed. 1988. Corr.... Nonlinear Functional Analysis and its Applications - IV: Applications to Mathematical Physics (Hardcover, 1st ed. 1988. Corr. 2nd printing 1997)
J. Quandt; E. Zeidler
R7,464 Discovery Miles 74 640 Ships in 12 - 17 working days

The fourth of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self-contained and accessible to the non-specialist, and topics covered include applications to mechanics, elasticity, plasticity, hydrodynamics, thermodynamics, statistical physics, and special and general relativity including cosmology. The book contains a detailed physical motivation of the relevant basic equations and a discussion of particular problems which have played a significant role in the development of physics and through which important mathematical and physical insight may be gained. It combines classical and modern ideas to build a bridge between the language and thoughts of physicists and mathematicians. Many exercises and a comprehensive bibliography complement the text.

Advances in the Mathematical Sciences - Research from the 2015 Association for Women in Mathematics Symposium (Hardcover, 1st... Advances in the Mathematical Sciences - Research from the 2015 Association for Women in Mathematics Symposium (Hardcover, 1st ed. 2016)
Gail Letzter, Kristin Lauter, Erin Chambers, Nancy Flournoy, Julia Elisenda Grigsby, …
R5,567 R4,962 Discovery Miles 49 620 Save R605 (11%) Ships in 12 - 17 working days

Presenting the latest findings in topics from across the mathematical spectrum, this volume includes results in pure mathematics along with a range of new advances and novel applications to other fields such as probability, statistics, biology, and computer science. All contributions feature authors who attended the Association for Women in Mathematics Research Symposium in 2015: this conference, the third in a series of biennial conferences organized by the Association, attracted over 330 participants and showcased the research of women mathematicians from academia, industry, and government.

The Rise and Development of the Theory of Series up to the Early 1820s (Hardcover, 2008 ed.): Giovanni Ferraro The Rise and Development of the Theory of Series up to the Early 1820s (Hardcover, 2008 ed.)
Giovanni Ferraro
R2,937 Discovery Miles 29 370 Ships in 10 - 15 working days

The manuscript gives a coherent and detailed account of the theory of series in the eighteenth and early nineteenth centuries. It provides in one place an account of many results that are generally to be found - if at all - scattered throughout the historical and textbook literature. It presents the subject from the viewpoint of the mathematicians of the period, and is careful to distinguish earlier conceptions from ones that prevail today.

Unbounded Self-adjoint Operators on Hilbert Space (Hardcover, 2012 ed.): Konrad Schmudgen Unbounded Self-adjoint Operators on Hilbert Space (Hardcover, 2012 ed.)
Konrad Schmudgen
R2,613 Discovery Miles 26 130 Ships in 12 - 17 working days

The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) . Among others, a number of advanced special topics are treated on a text book level accompanied by numerous illustrating examples and exercises. The main themes of the book are the following: - Spectral integrals and spectral decompositions of self-adjoint and normal operators - Perturbations of self-adjointness and of spectra of self-adjoint operators - Forms and operators - Self-adjoint extension theory :boundary triplets, Krein-Birman-Vishik theory of positive self-adjoint extension

Special Functions, Partial Differential Equations, and Harmonic Analysis - In Honor of Calixto P. Calderon (Hardcover, 2014... Special Functions, Partial Differential Equations, and Harmonic Analysis - In Honor of Calixto P. Calderon (Hardcover, 2014 ed.)
Constantine Georgakis, Alexander M. Stokolos, Wilfredo Urbina
R4,278 R3,458 Discovery Miles 34 580 Save R820 (19%) Ships in 12 - 17 working days

This volume of papers presented at the conference in honor of Calixto P. Calderon by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.

Index Matrices: Towards an Augmented Matrix Calculus (Hardcover, 2014 ed.): Krassimir T. Atanassov Index Matrices: Towards an Augmented Matrix Calculus (Hardcover, 2014 ed.)
Krassimir T. Atanassov
R2,873 Discovery Miles 28 730 Ships in 10 - 15 working days

This book presents the very concept of an index matrix and its related augmented matrix calculus in a comprehensive form. It mostly illustrates the exposition with examples related to the generalized nets and intuitionistic fuzzy sets which are examples of an extremely wide array of possible application areas. The present book contains the basic results of the author over index matrices and some of its open problems with the aim to stimulating more researchers to start working in this area.

Tensors - The Mathematics of Relativity Theory and Continuum Mechanics (Hardcover, 2007 ed.): Anadijiban Das Tensors - The Mathematics of Relativity Theory and Continuum Mechanics (Hardcover, 2007 ed.)
Anadijiban Das
R4,462 Discovery Miles 44 620 Ships in 12 - 17 working days

Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.

Functional Equations - Results and Advances (Hardcover, 2002 ed.): Zoltan Daroczy, Zsolt Pales Functional Equations - Results and Advances (Hardcover, 2002 ed.)
Zoltan Daroczy, Zsolt Pales
R3,089 Discovery Miles 30 890 Ships in 10 - 15 working days

The theory of functional equations has been developed in a rapid and productive way in the second half of the Twentieth Century. First of all, this is due to the fact that the mathematical applications raised the investigations of newer and newer types of functional equations. At the same time, the self development of this theory was also very fruitful. This can be followed in many monographs that treat and discuss the various methods and approaches. These developments were also essentially influenced by a number jour nals, for instance, by the Publicationes Mathematicae Debrecen (founded in 1953) and by the Aequationes Mathematicae (founded in 1968), be cause these journals published papers from the field of functional equa tions readily and frequently. The latter journal also publishes the yearly report of the International Symposia on Functional Equations and a comprehensive bibliography of the most recent papers. At the same time, there are periodically and traditionally organized conferences in Poland and in Hungary devoted to functional equations and inequali ties. In 2000, the 38th International Symposium on Functional Equations was organized by the Institute of Mathematics and Informatics of the University of Debrecen in Noszvaj, Hungary. The report about this meeting can be found in Aequationes Math. 61 (2001), 281-320."

Topological Fixed Point Principles for Boundary Value Problems (Hardcover, 2003 ed.): J. Andres, Lech Gorniewicz Topological Fixed Point Principles for Boundary Value Problems (Hardcover, 2003 ed.)
J. Andres, Lech Gorniewicz
R1,676 Discovery Miles 16 760 Ships in 12 - 17 working days

Our book is devoted to the topological fixed point theory both for single-valued and multivalued mappings in locally convex spaces, including its application to boundary value problems for ordinary differential equations (inclusions) and to (multivalued) dynamical systems. It is the first monograph dealing with the topo- logical fixed point theory in non-metric spaces. Although the theoretical material was tendentially selected with respect to ap- plications, we wished to have a self-consistent text (see the scheme below). There- fore, we supplied three appendices concerning almost-periodic and derivo-periodic single-valued {multivalued) functions and (multivalued) fractals. The last topic which is quite new can be also regarded as a contribution to the fixed point theory in hyperspaces. Nevertheless, the reader is assumed to be at least partly famil- iar in some related sections with the notions like the Bochner integral, the Au- mann multivalued integral, the Arzela-Ascoli lemma, the Gronwall inequality, the Brouwer degree, the Leray-Schauder degree, the topological (covering) dimension, the elemens of homological algebra, ...Otherwise, one can use the recommended literature. Hence, in Chapter I, the topological and analytical background is built. Then, in Chapter II (and partly already in Chapter I), topological principles necessary for applications are developed, namely: the fixed point index theory (resp. the topological degree theory), the Lefschetz and the Nielsen theories both in absolute and relative cases, periodic point theorems, topological essentiality, continuation-type theorems.

Oscillation Theory for Difference and Functional Differential Equations (Hardcover, 2000 ed.): R.P. Agarwal, Said R. Grace,... Oscillation Theory for Difference and Functional Differential Equations (Hardcover, 2000 ed.)
R.P. Agarwal, Said R. Grace, Donal O'Regan
R3,077 Discovery Miles 30 770 Ships in 10 - 15 working days

This monograph is devoted to a rapidly developing area of research of the qualitative theory of difference and functional differential equations. In fact, in the last 25 years Oscillation Theory of difference and functional differential equations has attracted many researchers. This has resulted in hundreds of research papers in every major mathematical journal, and several books. In the first chapter of this monograph, we address oscillation of solutions to difference equations of various types. Here we also offer several new fundamental concepts such as oscillation around a point, oscillation around a sequence, regular oscillation, periodic oscillation, point-wise oscillation of several orthogonal polynomials, global oscillation of sequences of real valued functions, oscillation in ordered sets, ( , R, )-oscillate, oscillation in linear spaces, oscillation in Archimedean spaces, and oscillation across a family. These concepts are explained through examples and supported by interesting results. In the second chapter we present recent results pertaining to the oscil lation of n-th order functional differential equations with deviating argu ments, and functional differential equations of neutral type. We mainly deal with integral criteria for oscillation. While several results of this chapter were originally formulated for more complicated and/or more general differ ential equations, we discuss here a simplified version to elucidate the main ideas of the oscillation theory of functional differential equations. Further, from a large number of theorems presented in this chapter we have selected the proofs of only those results which we thought would best illustrate the various strategies and ideas involved."

Quantum Field Theory I: Basics in Mathematics and Physics - A Bridge between Mathematicians and Physicists (Hardcover, 1st.ed.... Quantum Field Theory I: Basics in Mathematics and Physics - A Bridge between Mathematicians and Physicists (Hardcover, 1st.ed. 2006. Corr. 2nd printing 2009)
Eberhard Zeidler
R9,578 Discovery Miles 95 780 Ships in 12 - 17 working days

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation - 22nd International Workshop in Operator... Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation - 22nd International Workshop in Operator Theory and its Applications, Sevilla, July 2011 (Hardcover, 2014 ed.)
Manuel Cepedello Boiso, Hakan Hedenmalm, Marinus A. Kaashoek, Alfonso Montes-Rodriguez, Sergei Treil
R6,389 R3,758 Discovery Miles 37 580 Save R2,631 (41%) Ships in 12 - 17 working days

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

The Critique of Pure Reason (Hardcover): Immanuel Kant The Critique of Pure Reason (Hardcover)
Immanuel Kant; Translated by J.M.D. Meiklejohn
R742 Discovery Miles 7 420 Ships in 12 - 17 working days
Nonlinear Analysis and its Applications to Differential Equations (Hardcover, 2001 ed.): M. R. Grossinho, M. Ramos, C. Rebelo,... Nonlinear Analysis and its Applications to Differential Equations (Hardcover, 2001 ed.)
M. R. Grossinho, M. Ramos, C. Rebelo, L. Sanchez
R3,107 Discovery Miles 31 070 Ships in 10 - 15 working days

This work, consisting of expository articles as well as research papers, highlights recent developments in nonlinear analysis and differential equations. The material is largely an outgrowth of autumn school courses and seminars held at the University of Lisbon and has been thoroughly refereed.

Several topics in ordinary differential equations and partial differential equations are the focus of key articles, including:

* periodic solutions of systems with p-Laplacian type operators (J. Mawhin)

* bifurcation in variational inequalities (K. Schmitt)

* a geometric approach to dynamical systems in the plane via twist theorems (R. Ortega)

* asymptotic behavior and periodic solutions for Navier--Stokes equations (E. Feireisl)

* mechanics on Riemannian manifolds (W. Oliva)

* techniques of lower and upper solutions for ODEs (C. De Coster and P. Habets)

A number of related subjects dealing with properties of solutions, e.g., bifurcations, symmetries, nonlinear oscillations, are treated in other articles.

This volume reflects rich and varied fields of research and will be a useful resource for mathematicians and graduate students in the ODE and PDE community.

Time-Frequency and Time-Scale Methods - Adaptive Decompositions, Uncertainty Principles, and Sampling (Hardcover, 2005 ed.):... Time-Frequency and Time-Scale Methods - Adaptive Decompositions, Uncertainty Principles, and Sampling (Hardcover, 2005 ed.)
Jeffrey A Hogan
R3,036 Discovery Miles 30 360 Ships in 10 - 15 working days

Developed in this book are several deep connections between time-frequency (Fourier/Gabor) analysis and time-scale (wavelet) analysis, emphasizing the powerful adaptive methods that emerge when separate techniques from each area are properly assembled in a larger context. While researchers at the forefront of these areas are well aware of the benefits of such a unified approach, there remains a knowledge gap in the larger community of practitioners about the precise strengths and limitations of Fourier/Gabor analysis versus wavelets. This book fills that gap by presenting the interface of time-frequency and time-scale methods as a rich area of work. "Foundations of Time-Frequency and Time-Scale Methods" will be suitable for applied mathematicians and engineers in signal/image processing and communication theory, as well as researchers and students in mathematical analysis, signal analysis, and mathematical physics.

Convex Functions, Partial Orderings, and Statistical Applications (Hardcover): Josip E. Peajcariaac, Y.L. Tong Convex Functions, Partial Orderings, and Statistical Applications (Hardcover)
Josip E. Peajcariaac, Y.L. Tong
R3,923 Discovery Miles 39 230 Ships in 12 - 17 working days

This research-level book presents up-to-date information concerning recent developments in convex functions and partial orderings and some applications in mathematics, statistics, and reliability theory. The book will serve researchers in mathematical and statistical theory and theoretical and applied reliabilists.
Key Features
* Presents classical and newly published results on convex functions and related inequalities
* Explains partial ordering based on arrangement and their applications in mathematics, probability, statsitics, and reliability
* Demonstrates the connection of partial ordering with other well-known orderings such as majorization and Schur functions
* Will generate further research and applications

Current Trends in Transformation Groups (Hardcover, 2002 ed.): Anthony Bak, Masaharu Morimoto, Fumihiro Ushitaki Current Trends in Transformation Groups (Hardcover, 2002 ed.)
Anthony Bak, Masaharu Morimoto, Fumihiro Ushitaki
R1,653 Discovery Miles 16 530 Ships in 12 - 17 working days

This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role.

The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references make it easy to find details and original accounts of the topics surveyed, including tools and theories used in these accounts.

Ellipsoidal Calculus for Estimation and Control (Hardcover, 1994 ed.): Alexander Kurzhanski, Istvan Valyi Ellipsoidal Calculus for Estimation and Control (Hardcover, 1994 ed.)
Alexander Kurzhanski, Istvan Valyi
R3,069 Discovery Miles 30 690 Ships in 10 - 15 working days

This book gives an account of an ellipsoidal calculus and ellipsoidal techniques developed by the authors. The text ranges from a specially developed theory of exact set-valued solutions to the description of ellipsoidal calculus, related ellipsoidal-based methods and examples worked out with computer graphics.

Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators (Hardcover, 1997 ed.): Albrecht Boettcher, Yuri I Karlovich Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators (Hardcover, 1997 ed.)
Albrecht Boettcher, Yuri I Karlovich
R1,688 Discovery Miles 16 880 Ships in 12 - 17 working days

Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997.

This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents. Some basic phenomena in the field and the techniques for treating them came to be understood only in recent years and are comprehensively presented here for the first time.
The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory.

Recent Developments of Mathematical Fluid Mechanics (Hardcover, 1st ed. 2016): Herbert Amann, Yoshikazu Giga, Hideo Kozono,... Recent Developments of Mathematical Fluid Mechanics (Hardcover, 1st ed. 2016)
Herbert Amann, Yoshikazu Giga, Hideo Kozono, Hisashi Okamoto, Masao Yamazaki
R3,684 Discovery Miles 36 840 Ships in 12 - 17 working days

The aim of this proceeding is addressed to present recent developments of the mathematical research on the Navier-Stokes equations, the Euler equations and other related equations. In particular, we are interested in such problems as: 1) existence, uniqueness and regularity of weak solutions2) stability and its asymptotic behavior of the rest motion and the steady state3) singularity and blow-up of weak and strong solutions4) vorticity and energy conservation5) fluid motions around the rotating axis or outside of the rotating body6) free boundary problems7) maximal regularity theorem and other abstract theorems for mathematical fluid mechanics.

Parametrized Measures and Variational Principles (Hardcover, 1997 ed.): Pablo Pedregal Parametrized Measures and Variational Principles (Hardcover, 1997 ed.)
Pablo Pedregal
R3,000 Discovery Miles 30 000 Ships in 10 - 15 working days

Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same compactness properties that finite dimensional spaces do: basically, bounded sequences are weak relatively compact sets. Nonetheless, weak conver gence does not behave as one would desire with respect to nonlinear functionals and operations. This difficulty is what makes nonlinear analysis much harder than would normally be expected. Parametrized measures is a device to under stand weak convergence and its behavior with respect to nonlinear functionals. Under suitable hypotheses, it yields a way of representing through integrals weak limits of compositions with nonlinear functions. It is particularly helpful in comprehending oscillatory phenomena and in keeping track of how oscilla tions change when a nonlinear functional is applied. Weak convergence also plays a fundamental role in the modern treatment of the calculus of variations, again because uniform bounds in norm for se quences allow to have weak convergent subsequences. In order to achieve the existence of minimizers for a particular functional, the property of weak lower semicontinuity should be established first. This is the crucial and most delicate step in the so-called direct method of the calculus of variations. A fairly large amount of work has been devoted to determine under what assumptions we can have this lower semicontinuity with respect to weak topologies for nonlin ear functionals in the form of integrals. The conclusion of all this work is that some type of convexity, understood in a broader sense, is usually involved."

Operator Theory in Inner Product Spaces (Hardcover, 2007 ed.): Karl-Heinz Foerster, Peter Jonas, Heinz Langer, Carsten Trunk Operator Theory in Inner Product Spaces (Hardcover, 2007 ed.)
Karl-Heinz Foerster, Peter Jonas, Heinz Langer, Carsten Trunk
R2,906 Discovery Miles 29 060 Ships in 10 - 15 working days

This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation, and extension theory of linear operators and relations in inner product spaces.

Nonlinear Symmetries and Nonlinear Equations (Hardcover): Giuseppe Gaeta Nonlinear Symmetries and Nonlinear Equations (Hardcover)
Giuseppe Gaeta
R2,879 Discovery Miles 28 790 Ships in 12 - 17 working days

This text serves as an introduction to the use of nonlinear symmetries in studying, simplifying and solving nonlinear equations. Part One provides a self-contained introduction to the theory. This emphasizes an intuitive understanding of jet spaces and the geometry of differential equations, and a special treatment of evolution problems and dynamical systems, including original results. In Part Two the theory is applied to equivariant dynamics, to bifurcation theory and to gauge symmetries, reporting recent results by the author. In particular, the fundamental results of equivariant bifurcation theory are extended to the case of nonlinear symmetries. The final part of the book gives an overview of new developments, including a number of applications, mainly in the physical sciences. A list of references dealing with nonlinear symmetries completes the volume. This volume should be of interest to researchers in mathematics and mathematical physics.

Algebra and Operator Theory - Proceedings of the Colloquium in Tashkent, 1997 (Hardcover, 1998 ed.): Y. Khakimdjanov, M. Goze,... Algebra and Operator Theory - Proceedings of the Colloquium in Tashkent, 1997 (Hardcover, 1998 ed.)
Y. Khakimdjanov, M. Goze, Sh Ayupov
R2,897 Discovery Miles 28 970 Ships in 10 - 15 working days

This volume presents the lectures given during the second French-Uzbek Colloquium on Algebra and Operator Theory which took place in Tashkent in 1997, at the Mathematical Institute of the Uzbekistan Academy of Sciences. Among the algebraic topics discussed here are deformation of Lie algebras, cohomology theory, the algebraic variety of the laws of Lie algebras, Euler equations on Lie algebras, Leibniz algebras, and real K-theory. Some contributions have a geometrical aspect, such as supermanifolds. The papers on operator theory deal with the study of certain types of operator algebras. This volume also contains a detailed introduction to the theory of quantum groups. Audience: This book is intended for graduate students specialising in algebra, differential geometry, operator theory, and theoretical physics, and for researchers in mathematics and theoretical physics.

Hyperbolic Functional Differential Inequalities and Applications (Hardcover, 1999 ed.): Z. Kamont Hyperbolic Functional Differential Inequalities and Applications (Hardcover, 1999 ed.)
Z. Kamont
R3,057 Discovery Miles 30 570 Ships in 10 - 15 working days

This book is intended as a self-contained exposition of hyperbolic functional dif ferential inequalities and their applications. Its aim is to give a systematic and unified presentation of recent developments of the following problems: (i) functional differential inequalities generated by initial and mixed problems, (ii) existence theory of local and global solutions, (iii) functional integral equations generated by hyperbolic equations, (iv) numerical method of lines for hyperbolic problems, (v) difference methods for initial and initial-boundary value problems. Beside classical solutions, the following classes of weak solutions are treated: Ca ratheodory solutions for quasilinear equations, entropy solutions and viscosity so lutions for nonlinear problems and solutions in the Friedrichs sense for almost linear equations. The theory of difference and differential difference equations ge nerated by original problems is discussed and its applications to the constructions of numerical methods for functional differential problems are presented. The monograph is intended for different groups of scientists. Pure mathemati cians and graduate students will find an advanced theory of functional differential problems. Applied mathematicians and research engineers will find numerical al gorithms for many hyperbolic problems. The classical theory of partial differential inequalities has been described exten sively in the monographs 138, 140, 195, 225). As is well known, they found applica tions in differential problems. The basic examples of such questions are: estimates of solutions of partial equations, estimates of the domain of the existence of solu tions, criteria of uniqueness and estimates of the error of approximate solutions."

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