0
Your cart

Your cart is empty

Browse All Departments
Price
  • R100 - R250 (128)
  • R250 - R500 (479)
  • R500+ (12,747)
  • -
Status
Format
Author / Contributor
Publisher

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

Computable Calculus (Paperback): Oliver Aberth Computable Calculus (Paperback)
Oliver Aberth
R2,384 Discovery Miles 23 840 Ships in 12 - 17 working days

Computable Calculus treats the fundamental topic of calculus in a novel way that is more in tune with today's computer age. Comprising 11 chapters and an accompanying CD-ROM, the book presents mathematical analysis that has been created to deal with constructively defined concepts. The book's "show your work" approach makes it easier to understand the pitfalls of various computations and, more importantly, how to avoid these pitfalls.
The accompanying CD-ROM has self-contained programs that interact with the text, providing for easy grasp of the new concepts and enabling readers to write their own demonstration programs.
Contains software on CD ROM:
The accompanying software demonstrates, through simulation and exercises, how each concept of calculus can be associated with a program for the 'ideal computer'
Using this software readers will be able to write their own demonstration programs

Differential Analysis on Complex Manifolds (Hardcover, 3rd ed. 2008): Oscar Garcia-Prada Differential Analysis on Complex Manifolds (Hardcover, 3rd ed. 2008)
Oscar Garcia-Prada; Raymond O. Wells
R1,554 Discovery Miles 15 540 Ships in 12 - 17 working days

In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge - operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds Griffiths' period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of the developments in the field during the decades since the book appeared.

Moduli in Modern Mapping Theory (Hardcover, 2009 ed.): Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov Moduli in Modern Mapping Theory (Hardcover, 2009 ed.)
Olli Martio, Vladimir Ryazanov, Uri Srebro, Eduard Yakubov
R2,844 Discovery Miles 28 440 Ships in 10 - 15 working days

The purpose of this book is to present modern developments and applications of the techniques of modulus or extremal length of path families in the study of m- n pings in R, n? 2, and in metric spaces. The modulus method was initiated by Lars Ahlfors and Arne Beurling to study conformal mappings. Later this method was extended and enhanced by several other authors. The techniques are geom- ric and have turned out to be an indispensable tool in the study of quasiconformal and quasiregular mappings as well as their generalizations. The book is based on rather recent research papers and extends the modulus method beyond the classical applications of the modulus techniques presented in many monographs. Helsinki O. Martio Donetsk V. Ryazanov Haifa U. Srebro Holon E. Yakubov 2007 Contents 1 Introduction and Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2 Moduli and Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 2 Moduli in Metric Spaces. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2. 3 Conformal Modulus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2. 4 Geometric De nition for Quasiconformality . . . . . . . . . . . . . . . . . . . . 13 2. 5 Modulus Estimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2. 6 Upper Gradients and ACC Functions . . . . . . . . . . . . . . . . . . . . . . . . . 17 p n 2. 7 ACC Functions in R and Capacity. . . . . . . . . . . . . . . . . . . . . . . . . . . 21 p 2. 8 Linear Dilatation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 2. 9 Analytic De nition for Quasiconformality. . . . . . . . . . . . . . . . . . . . . . 31 n 2. 10 R as a Loewner Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 2. 11 Quasisymmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 3 Moduli and Domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 3. 2 QED Exceptional Sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 3. 3 QED Domains and Their Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 3. 4 UniformandQuasicircleDomains . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Partial Differential Equations and Boundary Value Problems (Hardcover, 1998 ed.): Viorel Barbu Partial Differential Equations and Boundary Value Problems (Hardcover, 1998 ed.)
Viorel Barbu
R2,959 Discovery Miles 29 590 Ships in 10 - 15 working days

The material of the present book has been used for graduate-level courses at the University of Ia i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was marked by two decisive steps. Undoubtedly, the first one was the Fredholm proof in 1900 of the existence of solutions to Dirichlet and Neumann problems, which represented a triumph of the classical theory of partial differential equations. The second step is due to S. 1. Sobolev (1937) who introduced the concept of weak solution in partial differential equations and inaugurated the modern theory of boundary value problems. The classical theory which is a product ofthe nineteenth century, is concerned with smooth (continuously differentiable) sollutions and its methods rely on classical analysis and in particular on potential theory. The modern theory concerns distributional (weak) solutions and relies on analysis of Sob ole v spaces and functional methods. The same distinction is valid for the boundary value problems associated with heat and wave equations. Both aspects of the theory are present in this book though it is not exhaustive in any sense.

Functions, Spaces, and Expansions - Mathematical Tools in Physics and Engineering (Hardcover, 2010 ed.): Ole Christensen Functions, Spaces, and Expansions - Mathematical Tools in Physics and Engineering (Hardcover, 2010 ed.)
Ole Christensen
R2,456 Discovery Miles 24 560 Ships in 12 - 17 working days

This graduate-level textbook is a detailed exposition of key mathematical tools in analysis aimed at students, researchers, and practitioners across science and engineering. Every topic covered has been specifically chosen because it plays a key role outside the field of pure mathematics. Although the treatment of each topic is mathematical in nature, and concrete applications are not delineated, the principles and tools presented are fundamental to exploring the computational aspects of physics and engineering.

Readers are expected to have a solid understanding of linear algebra, in Rn and in general vector spaces. Familiarity with the basic concepts of calculus and real analysis, including Riemann integrals and infinite series of real or complex numbers, is also required.

Pseudo-Regularly Varying Functions and Generalized Renewal Processes (Hardcover, 1st ed. 2018): Valerii V. Buldygin, Karl-Heinz... Pseudo-Regularly Varying Functions and Generalized Renewal Processes (Hardcover, 1st ed. 2018)
Valerii V. Buldygin, Karl-Heinz Indlekofer, Oleg I. Klesov, Josef G. Steinebach
R3,359 Discovery Miles 33 590 Ships in 10 - 15 working days

One of the main aims of this book is to exhibit some fruitful links between renewal theory and regular variation of functions. Applications of renewal processes play a key role in actuarial and financial mathematics as well as in engineering, operations research and other fields of applied mathematics. On the other hand, regular variation of functions is a property that features prominently in many fields of mathematics. The structure of the book reflects the historical development of the authors' research work and approach - first some applications are discussed, after which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the asymptotic behavior of renewal processes, involving cases of dependent inter-arrival times. This method works for other important functionals as well, such as first and last exit times or sojourn times (also under dependencies), and it can be used to solve several other problems. For example, various applications in function analysis concerning Abelian and Tauberian theorems can be studied as well as those in studies of the asymptotic behavior of solutions of stochastic differential equations. The classes of functions that are investigated and used in a probabilistic context extend the well-known Karamata theory of regularly varying functions and thus are also of interest in the theory of functions. The book provides a rigorous treatment of the subject and may serve as an introduction to the field. It is aimed at researchers and students working in probability, the theory of stochastic processes, operations research, mathematical statistics, the theory of functions, analytic number theory and complex analysis, as well as economists with a mathematical background. Readers should have completed introductory courses in analysis and probability theory.

Hilbert Spaces, Volume 4 (Hardcover, 1st ed): Corneliu Constantinescu Hilbert Spaces, Volume 4 (Hardcover, 1st ed)
Corneliu Constantinescu
R3,146 Discovery Miles 31 460 Ships in 10 - 15 working days

This book has evolved from the lecture course on Functional Analysis I had given several times at the ETH. The text has a strict logical order, in the style of "Definition - Theorem - Proof - Example - Exercises". The proofs are rather thorough and there many examples. The first part of the book(the first three chapters, resp. the first two volumes) is devoted to the theory of Banach spaces in the most general sense of the term. The purpose of the first chapter (resp. first volume) is to introduce those results on Banach spaces which are used later or which are closely connected with the book. It therefore only contains a small part of the theory, and several results are stated (and proved) in a diluted form. The second chapter (which together with Chapter 3 makes the second volume) deals with Banach algebras (and involutive Banach algebras), which constitute the main topic of the first part of the book. The third chapter deals with compact operators on Banach spaces and linear (ordinary and partial) differential equations - applications of the, theory of Banach algebras.

The Mimetic Finite Difference Method for Elliptic Problems (Hardcover, 2014 ed.): Lourenco Beirao Da Veiga, Konstantin... The Mimetic Finite Difference Method for Elliptic Problems (Hardcover, 2014 ed.)
Lourenco Beirao Da Veiga, Konstantin Lipnikov, Gianmarco Manzini
R3,578 Discovery Miles 35 780 Ships in 12 - 17 working days

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the Authors allows one to solve these equations on unstructured polygonal, polyhedral and generalized polyhedral meshes. The book provides a practical guide for those scientists and engineers that are interested in the computational properties of the mimetic finite difference method such as the accuracy, stability, robustness, and efficiency. Many examples are provided to help the reader to understand and implement this method. This monograph also provides the essential background material and describes basic mathematical tools required to develop further the mimetic discretization technology and to extend it to various applications.

Almost Periodic Stochastic Processes (Hardcover, 2011 Ed.): Paul H. Bezandry, Toka Diagana Almost Periodic Stochastic Processes (Hardcover, 2011 Ed.)
Paul H. Bezandry, Toka Diagana
R2,804 Discovery Miles 28 040 Ships in 10 - 15 working days

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.

Robust Output LQ Optimal Control via Integral Sliding Modes (Hardcover, 2014 ed.): Leonid Fridman, Alexander Poznyak, Francisco... Robust Output LQ Optimal Control via Integral Sliding Modes (Hardcover, 2014 ed.)
Leonid Fridman, Alexander Poznyak, Francisco Javier Bejarano
R2,842 R1,844 Discovery Miles 18 440 Save R998 (35%) Ships in 12 - 17 working days

Featuring original research from well-known experts in the field of sliding mode control, this book presents new design schemes for a useful and practical optimal control with very few impractical assumptions. The results presented allow optimal control theory to grow in its applicability to real-world systems. On the cutting-edge of optimal control research, this book is an excellent resource for both graduate students and researchers in engineering, mathematics, and optimal control.

Partition of Unity Methods (Hardcover): Stéphane Bordas, Alexander Menk Partition of Unity Methods (Hardcover)
Stéphane Bordas, Alexander Menk
R2,246 Discovery Miles 22 460 Ships in 12 - 17 working days

First book to offer a guide to the foundations of the XFEM and its implementation A revolution similar to that initiated by the FEM is taking place through the XFEM, which is already implemented in leading commercial packages (ABAQUS, ANSYS, etc.) that are taught at undergraduate and post-graduate levels and to industrial end-users. XFEM provides a detailed overview of the basics around the newly introduced extended finite element method for applications in solving moving boundary problems. XFEM is introduced naturally as an extension of FEM, through simple one dimensional examples which then allow the introduction of higher-dimensional problems. Throughout the book, each key concept is highlighted by the corresponding piece of MATLAB code which is provided via an accompanying web portal. Uniquely, this portal allows readers to obtain real-time feedback and help from an existing community of more than 130 researchers and industrialists. Demystifies the theory behind XFEM and makes it accessible to all with previous knowledge of the FEM Provides a simple introduction to XFEM but also provides a range of tools which the reader can build upon to take on a large breadth of more complex problems. Presents each key theoretical concept in parallel with its implementational aspects in the form of simple MATLAB routines provided along with the book via an interactive companion website and portal Provides a detailed account of applications of XFEM to fracture mechanics, including techniques absent from current literature

Ordinary Differential Equations and Mechanical Systems (Hardcover, 2014 ed.): Jan Awrejcewicz Ordinary Differential Equations and Mechanical Systems (Hardcover, 2014 ed.)
Jan Awrejcewicz
R2,917 Discovery Miles 29 170 Ships in 10 - 15 working days

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization.

Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition.

The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.

Functional Analysis in Mechanics (Hardcover, 2nd ed. 2013): Leonid P. Lebedev, Iosif I. Vorovich, Michael J. Cloud Functional Analysis in Mechanics (Hardcover, 2nd ed. 2013)
Leonid P. Lebedev, Iosif I. Vorovich, Michael J. Cloud
R3,475 Discovery Miles 34 750 Ships in 12 - 17 working days

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects.

This second edition includes more extended coverage of the classical andabstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added.

The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics.

Reviews of first edition:

"This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. Detailed solutions of the exercises are provided in an appendix." (L Enseignment Mathematique, Vol. 49 (1-2), 2003)

"The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises test the reader s comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003)

"

Contemporary Quantitative Finance - Essays in Honour of Eckhard Platen (Hardcover, 2010 ed.): Carl Chiarella, Alexander Novikov Contemporary Quantitative Finance - Essays in Honour of Eckhard Platen (Hardcover, 2010 ed.)
Carl Chiarella, Alexander Novikov
R3,028 R1,669 Discovery Miles 16 690 Save R1,359 (45%) Ships in 12 - 17 working days

This volume contains a collection of papers dedicated to Professor Eckhard Platen to celebrate his 60th birthday, which occurred in 2009. The contributions have been written by a number of his colleagues and co-authors. All papers have been - viewed and presented as keynote talks at the international conference "Quantitative Methods in Finance" (QMF) in Sydney in December 2009. The QMF Conference Series was initiated by Eckhard Platen in 1993 when he was at the Australian - tional University (ANU) in Canberra. Since joining UTS in 1997 the conference came to be organised on a much larger scale and has grown to become a signi?cant international event in quantitative ?nance. Professor Platen has held the Chair of Quantitative Finance at the University of Technology, Sydney (UTS) jointly in the Faculties of Business and Science since 1997. Prior to this appointment, he was the Founding Head of the Centre for Fin- cial Mathematics at the Institute of Advanced Studies at ANU, a position to which he was appointed in 1994. Eckhard completed a PhD in Mathematics at the Technical University in Dresden in 1975 and in 1985 obtained his Doctor of Science degree (Habilitation degree in the German system) from the Academy of Sciences in Berlin where he headed the Stochastics group at the Weierstrass Institute.

Stability Analysis of Impulsive Functional Differential Equations (Hardcover): Ivanka Stamova Stability Analysis of Impulsive Functional Differential Equations (Hardcover)
Ivanka Stamova
R5,470 Discovery Miles 54 700 Ships in 12 - 17 working days

This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equationsis under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.

Hyperbolic Conservation Laws in Continuum Physics (Hardcover, 4th ed. 2016): Constantine M. Dafermos Hyperbolic Conservation Laws in Continuum Physics (Hardcover, 4th ed. 2016)
Constantine M. Dafermos
R6,344 Discovery Miles 63 440 Ships in 10 - 15 working days

This is a masterly exposition and an encyclopedic presentation of the theory of hyperbolic conservation laws. It illustrates the essential role of continuum thermodynamics in providing motivation and direction for the development of the mathematical theory while also serving as the principal source of applications. The reader is expected to have a certain mathematical sophistication and to be familiar with (at least) the rudiments of analysis and the qualitative theory of partial differential equations, whereas prior exposure to continuum physics is not required. The target group of readers would consist of (a) experts in the mathematical theory of hyperbolic systems of conservation laws who wish to learn about the connection with classical physics; (b) specialists in continuum mechanics who may need analytical tools; (c) experts in numerical analysis who wish to learn the underlying mathematical theory; and (d) analysts and graduate students who seek introduction to the theory of hyperbolic systems of conservation laws. This new edition places increased emphasis on hyperbolic systems of balance laws with dissipative source, modeling relaxation phenomena. It also presents an account of recent developments on the Euler equations of compressible gas dynamics. Furthermore, the presentation of a number of topics in the previous edition has been revised, expanded and brought up to date, and has been enriched with new applications to elasticity and differential geometry. The bibliography, also expanded and updated, now comprises close to two thousand titles. From the reviews of the 3rd edition: "This is the third edition of the famous book by C.M. Dafermos. His masterly written book is, surely, the most complete exposition in the subject." Evgeniy Panov, Zentralblatt MATH "A monumental book encompassing all aspects of the mathematical theory of hyperbolic conservation laws, widely recognized as the "Bible" on the subject." Philippe G. LeFloch, Math. Reviews

Nonlinear Maps and their Applications - Selected Contributions from the NOMA 2011 International Workshop (Hardcover, 2014 ed.):... Nonlinear Maps and their Applications - Selected Contributions from the NOMA 2011 International Workshop (Hardcover, 2014 ed.)
Clara Gracio, Daniele Fournier-Prunaret, Tetsushi Ueta, Yoshifumi Nishio
R4,627 Discovery Miles 46 270 Ships in 12 - 17 working days

In the field of Dynamical Systems, nonlinear iterative processes play an important role. Nonlinear mappings can be found as immediate models for many systems from different scientific areas, such as engineering, economics, biology, or can also be obtained via numerical methods permitting to solve non-linear differential equations. In both cases, the understanding of specific dynamical behaviors and phenomena is of the greatest interest for scientists. This volume contains papers that were presented at the International Workshop on Nonlinear Maps and their Applications (NOMA 2011) held in Evora, Portugal, on September 15-16, 2011. This kind of collaborative effort is of paramount importance in promoting communication among the various groups that work in dynamical systems and networks in their research theoretical studies as well as for applications. This volume is suitable for graduate students as well as researchers in the field.

Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation,... Approximation Algorithms for Complex Systems - Proceedings of the 6th International Conference on Algorithms for Approximation, Ambleside, UK, 31st August - 4th September 2009 (Hardcover, 2011 ed.)
Emmanuil H Georgoulis, Armin Iske, Jeremy Levesley
R4,264 Discovery Miles 42 640 Ships in 10 - 15 working days

This book collects up-to-date papers from world experts in a broad variety of relevant applications of approximation theory, including dynamical systems, multiscale modelling of fluid flow, metrology, and geometric modelling to mention a few. The 14 papers in this volume document modern trends in approximation through recent theoretical developments, important computational aspects and multidisciplinary applications. The book is arranged in seven invited surveys, followed by seven contributed research papers. The surveys of the first seven chapters are addressing the following relevant topics: emergent behaviour in large electrical networks, algorithms for multivariate piecewise constant approximation, anisotropic triangulation methods in adaptive image approximation, form assessment in coordinate metrology, discontinuous Galerkin methods for linear problems, a numerical analyst's view of the lattice Boltzmann method, approximation of probability measures on manifolds. Moreover, the diverse contributed papers of the remaining seven chapters reflect recent developments in approximation theory, approximation practice and their applications. Graduate students who wish to discover the state of the art in a number of important directions of approximation algorithms will find this a valuable volume. Established researchers from statisticians through to fluid modellers will find interesting new approaches to solving familiar but challenging problems. This book grew out of the sixth in the conference series on "Algorithms for Approximation", which took place from 31st August to September 4th 2009 in Ambleside in the Lake District of the United Kingdom.

Arbeitstagung Bonn 2013 - In Memory of Friedrich Hirzebruch (Hardcover, 1st ed. 2016): Werner Ballmann, Christian Blohmann,... Arbeitstagung Bonn 2013 - In Memory of Friedrich Hirzebruch (Hardcover, 1st ed. 2016)
Werner Ballmann, Christian Blohmann, Gerd Faltings, Peter Teichner, Don Zagier
R4,262 Discovery Miles 42 620 Ships in 12 - 17 working days

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28. The 2013 meeting (and this resulting proceedings) was dedicated to the memory of Friedrich Hirzebruch, who passed away on May 27, 2012. Hirzebruch organized the first Arbeitstagung in 1957 with a unique concept that would become its most distinctive feature: the program was not determined beforehand by the organizers, but during the meeting by all participants in an open discussion. This ensured that the talks would be on the latest developments in mathematics and that many important results were presented at the conference for the first time. Written by leading mathematicians, the papers in this volume cover various topics from algebraic geometry, topology, analysis, operator theory, and representation theory and display the breadth and depth of pure mathematics that has always been characteristic of the Arbeitstagung.

Techniques of Variational Analysis (Hardcover, 2005 ed.): Jonathan Borwein, Qiji Zhu Techniques of Variational Analysis (Hardcover, 2005 ed.)
Jonathan Borwein, Qiji Zhu
R2,764 Discovery Miles 27 640 Ships in 10 - 15 working days

Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis

Provides a good introduction to the topic

Approximation Theory XIII: San Antonio 2010 (Hardcover, 2012): Marian Neamtu, Larry Schumaker Approximation Theory XIII: San Antonio 2010 (Hardcover, 2012)
Marian Neamtu, Larry Schumaker
R4,299 Discovery Miles 42 990 Ships in 10 - 15 working days

These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7-10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 144 participants. Previous conferences in the series were held in Austin, Texas (1973, 1976, 1980, 1992), College Station, Texas (1983, 1986, 1989, 1995), Nashville, Tennessee (1998), St. Louis, Missouri (2001), Gatlinburg, Tennessee (2004), and San Antonio, Texas (2007). Along with the many plenary speakers, the contributors to this proceedings provided inspiring talks and set a high standard of exposition in their descriptions of new directions for research. Many relevant topics in approximation theory are included in this book, such as abstract approximation, approximation with constraints, interpolation and smoothing, wavelets and frames, shearlets, orthogonal polynomials, univariate and multivariate splines, and complex approximation.

Convex Functional Analysis (Hardcover, 2005 ed.): Andrew J. Kurdila, Michael Zabarankin Convex Functional Analysis (Hardcover, 2005 ed.)
Andrew J. Kurdila, Michael Zabarankin
R1,608 Discovery Miles 16 080 Ships in 10 - 15 working days

Overview of Book This book evolved over a period of years as the authors taught classes in var- tional calculus and applied functional analysis to graduatestudents in engineering and mathematics. The book has likewise been in?uenced by the authors research programs that have relied on the application of functional analytic principles to problems in variational calculus, mechanics and control theory. One of the most di?cult tasks in preparing to utilize functional, convex, and set-valued analysis in practical problems in engineering and physics is the inti- dating number of de?nitions, lemmas, theorems and propositions that constitute thefoundationsoffunctionalanalysis. Itcannotbeoveremphasizedthatfunctional analysis can be a powerful tool for analyzing practical problems in mechanics and physics. However, many academicians and researchers spend their lifetime stu- ing abstract mathematics. It is a demanding ?eld that requires discipline and devotion. It is a trite analogy that mathematics can be viewed as a pyramid of knowledge, that builds layer upon layer as more mathematical structure is put in place. The di?culty lies in the fact that an engineer or scientist typically would like to start somewhere above the base of the pyramid. Engineers and scientists are not as concerned, generally speaking, with the subtleties of deriving theorems axiomatically. Rather, they are interested in gaining a working knowledge of the applicability of the theory to their ?eld of interest."

Dynamical Systems on 2- and 3-Manifolds (Hardcover, 1st ed. 2016): Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka Dynamical Systems on 2- and 3-Manifolds (Hardcover, 1st ed. 2016)
Viacheslav Z. Grines, Timur V. Medvedev, Olga V. Pochinka
R3,479 Discovery Miles 34 790 Ships in 12 - 17 working days

This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and 3-manifolds.The topological classification is one of the main problems of the theory of dynamical systems and the results presented in this book are mostly for dynamical systems satisfying Smale's Axiom A. The main results on the topological classification of discrete dynamical systems are widely scattered among many papers and surveys. This book presents these results fluidly, systematically, and for the first time in one publication. Additionally, this book discusses the recent results on the topological classification of Axiom A diffeomorphisms focusing on the nontrivial effects of the dynamical systems on 2- and 3-manifolds. The classical methods and approaches which are considered to be promising for the further research are also discussed.< The reader needs to be familiar with the basic concepts of the qualitative theory of dynamical systems which are presented in Part 1 for convenience. The book is accessible to ambitious undergraduates, graduates, and researchers in dynamical systems and low dimensional topology. This volume consists of 10 chapters; each chapter contains its own set of references and a section on further reading. Proofs are presented with the exact statements of the results. In Chapter 10 the authors briefly state the necessary definitions and results from algebra, geometry and topology. When stating ancillary results at the beginning of each part, the authors refer to other sources which are readily available.

Real Analysis: Theory Of Measure And Integration (2nd Edition) (Paperback, 2nd Revised edition): James J Yeh Real Analysis: Theory Of Measure And Integration (2nd Edition) (Paperback, 2nd Revised edition)
James J Yeh
R2,498 Discovery Miles 24 980 Ships in 12 - 17 working days

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.

Stroh Formalism and Rayleigh Waves (Hardcover, 2007 ed.): Kazumi Tanuma Stroh Formalism and Rayleigh Waves (Hardcover, 2007 ed.)
Kazumi Tanuma
R1,469 Discovery Miles 14 690 Ships in 10 - 15 working days

The Stroh formalism is a powerful and elegant mathematical method developed for the analysis of the equations of anisotropic elasticity. The purpose of this exposition is to introduce the essence of this formalism and demonstrate its effectiveness in both static and dynamic elasticity. The equations of elasticity are complicated, because they constitute a system and, particularly for the anisotropic cases, inherit many parameters from the elasticity tensor. The Stroh formalism reveals simple structures hidden in the equations of anisotropic elasticity and provides a systematic approach to these equations. This work will appeal to students and researchers in applied mathematics, mechanics, and engineering science.

Free Delivery
Pinterest Twitter Facebook Google+
You may like...
Decision Procedures for Elementary…
D. Cantone Paperback R340 Discovery Miles 3 400
AP Calculus Premium, 2022-2023: 12…
David Bock, Dennis Donovan, … Paperback R534 Discovery Miles 5 340
Differential Equations with…
Dennis Zill Paperback R1,290 R1,160 Discovery Miles 11 600
Calculus, Metric Edition
James Stewart, Saleem Watson, … Hardcover R1,339 R1,219 Discovery Miles 12 190
Introduction to Analysis - Pearson New…
William Wade Paperback R2,212 Discovery Miles 22 120
Differential Equations with Linear…
Matthew R. Boelkins, Jack L. Goldberg, … Hardcover R2,902 Discovery Miles 29 020
Math Without Numbers
Milo Beckman Paperback R450 R373 Discovery Miles 3 730
BI Statistical Methods - Volume I…
Peter Walley Hardcover R2,695 Discovery Miles 26 950
Precalculus: Mathematics for Calculus…
James Stewart, Lothar Redlin, … Paperback  (2)
R2,410 Discovery Miles 24 100
A Course in Mathematical Analysis…
Edouard Goursat Paperback R671 Discovery Miles 6 710

 

Partners