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Books > Academic & Education > Professional & Technical > Mathematics

Nonlinear Equations and Optimisation, Volume 4 (Paperback): L.T. Watson, J.A. Ford, M. Bartholomew-Biggs Nonlinear Equations and Optimisation, Volume 4 (Paperback)
L.T. Watson, J.A. Ford, M. Bartholomew-Biggs
R2,669 Discovery Miles 26 690 Ships in 10 - 15 working days


/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price


In one of the papers in this collection, the remark that "nothing at all takes place in the universe in which some rule of maximum of minimum does not appear" is attributed to no less an authority than Euler. Simplifying the syntax a little, we might paraphrase this as "Everything is an optimization problem." While this might be something of an overstatement, the element of exaggeration is certainly reduced if we consider the extended form: "Everything is an optimization problem or a system of equations." This observation, even if only partly true, stands as a fitting testimonial to the importance of the work covered by this volume.
Since the 1960s, much effort has gone into the development and application of numerical algorithms for solving problems in the two areas of optimization and systems of equations. As a result, many different ideas have been proposed for dealing efficiently with (for example) severe nonlinearities and/or very large numbers of variables. Libraries of powerful software now embody the most successful of these ideas, and one objective of this volume is to assist potential users in choosing appropriate software for the problems they need to solve. More generally, however, these collected review articles are intended to provide both researchers and practitioners with snapshots of the 'state-of-the-art' with regard to algorithms for particular classes of problem. These snapshots are meant to have the virtues of immediacy through the inclusion of very recent ideas, but they also have sufficient depth of field to show how ideas have developed and how today's research questions have grown out of previous solution attempts.
The most efficient methods for "local optimization, " both unconstrained and constrained, are still derived from the classical Newton approach.
As well as dealing in depth with the various classical, or neo-classical, approaches, the selection of papers on optimization in this volume ensures that newer ideas are also well represented.
Solving nonlinear algebraic systems of equations is closely related to optimization. The two are not completely equivalent, however, and usually something is lost in the translation.
Algorithms for nonlinear equations can be roughly classified as "locally convergent" or "globally convergent." The characterization is not perfect.
Locally convergent algorithms include Newton's method, modern quasi-Newton variants of Newton's method, and trust region methods. All of these approaches are well represented in this volume.

Interpolation and Extrapolation, Volume 2 (Paperback): C. Brezinski Interpolation and Extrapolation, Volume 2 (Paperback)
C. Brezinski
R2,472 Discovery Miles 24 720 Ships in 10 - 15 working days


/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price


This volume is dedicated to two closely related subjects: interpolation and extrapolation. The papers can be divided into three categories: historical papers, survey papers and papers presenting new developments.
Interpolation is an old subject since, as noticed in the paper by M. Gasca and T. Sauer, the term was coined by John Wallis in 1655. Interpolation was the first technique for obtaining an approximation of a function. Polynomial interpolation was then used in quadrature methods and methods for the numerical solution of ordinary differential equations.
Extrapolation is based on interpolation. In fact, extrapolation consists of interpolation at a point outside the interval containing the interpolation points. Usually, this point is either zero or infinity. Extrapolation is used in numerical analysis to improve the accuracy of a process depending of a parameter or to accelerate the convergence of a sequence. The most well-known extrapolation processes are certainly Romberg's method for improving the convergence of the trapezoidal rule for the computation of a definite integral and Aiken's &Dgr;2 process which can be found in any textbook of numerical analysis.
Obviously, all aspects of interpolation and extrapolation have not been treated in this volume. However, many important topics have been covered.

Linear Algebra with Mathematica, Student Solutions Manual - An Introduction Using Mathematica (Paperback): Fred Szabo Linear Algebra with Mathematica, Student Solutions Manual - An Introduction Using Mathematica (Paperback)
Fred Szabo
R1,614 Discovery Miles 16 140 Ships in 10 - 15 working days

This book introduces interested readers, practitioners, and researchers to "Mathematica methods for solving practical problems in linear algebra. It contains step-by-step solutions of problems in computer science, economics, engineering, mathematics, statistics, and other areas of application. Each chapter contains both elementary and more challenging problems, grouped by fields of application, and ends with a set of exercises. Selected answers are provided in an appendix. The book contains a glossary of definitions and theorem, as well as a summary of relevant "Mathematica tools. Applications of Linear Algebra can be used both in laboratory sessions and as a source of take-home problems and projects.

* Concentrates on problem solving and aims to increase the readers' analytical skills
* Provides ample opportunities for applying theoretical results and transferring knowledge between different areas of application; Mathematica plays a key role in this process
* Makes learning fun and builds confidence
* Allows readers to tackle computationally challenging problems by minimizing the frustration caused by the arithmetic intricacies of numerical linear algebra

A Mathematical Introduction to Logic (Hardcover, 2nd edition): Herbert B. Enderton A Mathematical Introduction to Logic (Hardcover, 2nd edition)
Herbert B. Enderton
R3,314 Discovery Miles 33 140 Ships in 10 - 15 working days

A Mathematical Introduction to Logic, Second Edition, offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.
* Increased flexibility of the text, allowing instructors more choice in how they use the textbook in courses.
* Reduced mathematical rigour to fit the needs of undergraduate students

Power Geometry in Algebraic and Differential Equations, Volume 57 (Hardcover, 1st ed): A.D Bruno Power Geometry in Algebraic and Differential Equations, Volume 57 (Hardcover, 1st ed)
A.D Bruno
R3,882 Discovery Miles 38 820 Ships in 10 - 15 working days

The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.
The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.
The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis.

Linear Algebra and Linear Operators in Engineering, Volume 3 - With Applications in Mathematica (R) (Hardcover): H.Ted Davis,... Linear Algebra and Linear Operators in Engineering, Volume 3 - With Applications in Mathematica (R) (Hardcover)
H.Ted Davis, Kendall T. Thomson
R4,715 Discovery Miles 47 150 Ships in 10 - 15 working days

Designed for advanced engineering, physical science, and applied mathematics students, this innovative textbook is an introduction to both the theory and practical application of linear algebra and functional analysis. The book is self-contained, beginning with elementary principles, basic concepts, and definitions. The important theorems of the subject are covered and effective application tools are developed, working up to a thorough treatment of eigenanalysis and the spectral resolution theorem. Building on a fundamental understanding of finite vector spaces, infinite dimensional Hilbert spaces are introduced from analogy. Wherever possible, theorems and definitions from matrix theory are called upon to drive the analogy home. The result is a clear and intuitive segue to functional analysis, culminating in a practical introduction to the functional theory of integral and differential operators. Numerous examples, problems, and illustrations highlight applications from all over engineering and the physical sciences. Also included are several numerical applications, complete with "Mathematica" solutions and code, giving the student a "hands-on" introduction to numerical analysis. Linear Algebra and Linear Operators in Engineering is ideally suited as the main text of an introductory graduate course, and is a fine instrument for self-study or as a general reference for those applying mathematics.
. Contains numerous "Mathematica" examples complete with full code and solutions
. Provides complete numerical algorithms for solving linear and nonlinear problems
. Spans elementary notions to the functional theory of linear integral and differential equations
. Includes over 130 examples, illustrations, and exercises and over 220 problems ranging from basic concepts to challenging applications
. Presents real-life applications from chemical, mechanical, and electrical engineering and the physical sciences"

Computable Structures and the Hyperarithmetical Hierarchy, Volume 144 (Hardcover): C.J. Ash, J Knight Computable Structures and the Hyperarithmetical Hierarchy, Volume 144 (Hardcover)
C.J. Ash, J Knight
R3,872 Discovery Miles 38 720 Ships in 10 - 15 working days

This book describes a program of research in computable structure theory. The goal is to find definability conditions corresponding to bounds on complexity which persist under isomorphism. The results apply to familiar kinds of structures (groups, fields, vector spaces, linear orderings Boolean algebras, Abelian p-groups, models of arithmetic). There are many interesting results already, but there are also many natural questions still to be answered. The book is self-contained in that it includes necessary background material from recursion theory (ordinal notations, the hyperarithmetical hierarchy) and model theory (infinitary formulas, consistency properties).

Introductory Analysis - The Theory of Calculus (Hardcover, 2nd edition): John A. Fridy Introductory Analysis - The Theory of Calculus (Hardcover, 2nd edition)
John A. Fridy
R3,964 Discovery Miles 39 640 Ships in 10 - 15 working days

"Introductory Analysis, Second Edition," is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space

* Bases most of the various limit concepts on sequential limits, which is done first
* Defines function limits by first developing the notion of continuity (with a sequential limit characterization)
* Contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral
* Presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract
New to This Edition
* Contains new Exercises throughout
* Provides a simple definition of subsequence
* Contains more information on function limits and L'Hospital's Rule
* Provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes
* presents an appendix lists all mathematicians named in the text
* Gives a glossary of symbols

Lie Algebras: Theory and Algorithms, Volume 56 (Hardcover, 1st ed): W.A.De Graaf Lie Algebras: Theory and Algorithms, Volume 56 (Hardcover, 1st ed)
W.A.De Graaf
R3,888 Discovery Miles 38 880 Ships in 10 - 15 working days

The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., 42], 48], 77], 86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof of theoretical results (we mention the proof of the Poincare-Birkhoff-Witt theorem and the proof of Iwasawa's theorem as examples). Also proofs that contain algorithmic constructions are explicitly formulated as algorithms (an example is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be used to arrive at a better understanding of the theory. Performing the algorithms in concrete examples, calculating with the concepts involved, really brings the theory of life.

Time in Contemporary Intellectual Thought, Volume 2 (Hardcover): P. J. N. Baert Time in Contemporary Intellectual Thought, Volume 2 (Hardcover)
P. J. N. Baert
R4,313 Discovery Miles 43 130 Ships in 10 - 15 working days

In this book, fifteen authors from a wide spectrum of disciplines (ranging from the natural sciences to the arts) offer assessments of the way time enters their work, the definition and uses of time that have proved most productive or problematic, and the lessons their subjects can offer for our understanding of time beyond the classroom and laboratory walls. The authors have tried, without sacrificing analytical rigour, to make their contribution accessible to a cross-disciplinary readership.
Each chapter reviews time's past and present application in its respective field, considers the practical and logical problems that remain, and assesses the methods researchers are using to escape or resolve them. Particular attention is paid to ways in which the technical treatment of time, for problem-solving and model-building around specific phenomena, call on - or clash with - our intuitive perceptions of what time is and does. The spans of time considered range from the fractions of seconds it takes unstable particles to disintegrate to the millions of years required for one species to give way to another. Like all central conceptual words, time is understood on several levels. By inviting input from a broad range of disciplines, the book aims to provide a fuller understanding of those levels, and of the common ground that lurks at their base. Much agreement emerges - not only on the nature of the problems time presents to modern intellectual thought, but also on the clues that recent discoveries may offer towards possible solutions.

The Satisfiability Problem and Boolean Functions (Hardcover): Franco The Satisfiability Problem and Boolean Functions (Hardcover)
Franco
R9,252 Discovery Miles 92 520 Ships in 10 - 15 working days
Discovering Higher Mathematics - Four Habits of Highly Effective Mathematicians (Hardcover): Alan Levine Discovering Higher Mathematics - Four Habits of Highly Effective Mathematicians (Hardcover)
Alan Levine
R3,886 Discovery Miles 38 860 Ships in 10 - 15 working days

Funded by a National Science Foundation grant, "Discovering Higher Mathematics" emphasizes four main themes that are essential components of higher mathematics: experimentation, conjecture, proof, and generalization. The text is intended for use in bridge or transition courses designed to prepare students for the abstraction of higher mathematics. Students in these courses have normally completed the calculus sequence and are planning to take advanced mathematics courses such as algebra, analysis and topology. The transition course is taken to prepare students for these courses by introducing them to the processes of conjecture and proof concepts which are typically not emphasized in calculus, but are critical components of advanced courses.

* Constructed around four key themes: Experimentation, Conjecture, Proof, and Generalization
* Guidelines for effective mathematical thinking, covering a variety of interrelated topics
* Numerous problems and exercises designed to reinforce the key themes

Mathematical Modeling, Volume 1 - A Chemical Engineer's Perspective (Hardcover): Rutherford Aris Mathematical Modeling, Volume 1 - A Chemical Engineer's Perspective (Hardcover)
Rutherford Aris
R5,664 Discovery Miles 56 640 Ships in 10 - 15 working days

Mathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners.
Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities.

* Describes pitfalls as well as principles of mathematical modeling
* Presents twenty examples of engineering problems
* Features seventeen reprinted papers
* Presents personal reflections on some of the great natural philosophers
* Emphasizes modeling procedures that precede extensive calculations

Tools and Techniques in Modal Logic, Volume 142 (Hardcover): M. Kracht Tools and Techniques in Modal Logic, Volume 142 (Hardcover)
M. Kracht
R4,547 Discovery Miles 45 470 Ships in 10 - 15 working days

This book treats modal logic as a theory, with several subtheories, such as completeness theory, correspondence theory, duality theory and transfer theory and is intended as a course in modal logic for students who have had prior contact with modal logic and who wish to study it more deeply. It presupposes training in mathematical or logic. Very little specific knowledge is presupposed, most results which are needed are proved in this book.

Computer Solution of Large Linear Systems, Volume 28 (Hardcover): Gerard Meurant Computer Solution of Large Linear Systems, Volume 28 (Hardcover)
Gerard Meurant
R4,590 Discovery Miles 45 900 Ships in 10 - 15 working days

Hardbound. This book deals with numerical methods for solving large sparse linear systems of equations, particularly those arising from the discretization of partial differential equations. It covers both direct and iterative methods. Direct methods which are considered are variants of Gaussian elimination and fast solvers for separable partial differential equations in rectangular domains. The book reviews the classical iterative methods like Jacobi, Gauss-Seidel and alternating directions algorithms. A particular emphasis is put on the conjugate gradient as well as conjugate gradient -like methods for non symmetric problems. Most efficient preconditioners used to speed up convergence are studied. A chapter is devoted to the multigrid method and the book ends with domain decomposition algorithms that are well suited for solving linear systems on parallel computers.

Elements of the Theory of Numbers (Hardcover, Annotated edition): Thomas P. Dence, Joseph B. Dence Elements of the Theory of Numbers (Hardcover, Annotated edition)
Thomas P. Dence, Joseph B. Dence
R4,187 Discovery Miles 41 870 Ships in 10 - 15 working days

"Elements of the Theory of Numbers" teaches students how to develop, implement, and test numerical methods for standard mathematical problems. The authors have created a two-pronged pedagogical approach that integrates analysis and algebra with classical number theory. Making greater use of the language and concepts in algebra and analysis than is traditionally encountered in introductory courses, this pedagogical approach helps to instill in the minds of the students the idea of the unity of mathematics. "Elements of the Theory of Numbers" is a superb summary of classical material as well as allowing the reader to take a look at the exciting role of analysis and algebra in number theory.
* In-depth coverage of classical number theory
* Thorough discussion of the theory of groups and rings
* Includes application of Taylor polynomials
* Contains more advanced material than other texts
* Illustrates the results of a theorem with an example
* Excellent presentation of the standard computational exercises
* Nearly 1000 problems--many are proof-oriented, several others require the writing of computer programs to complete the computations
* Clear and well-motivated presentation
* Provides historical references noting distinguished number theory luminaries such as Euclid, de Fermat, Hilbert, Brun, and Lehmer, to name a few
* Annotated bibliographies appear at the end of all of the chapters
* Instructor's Solution Manual is free to adopters

Mathematics for Dynamic Modeling (Hardcover, 2nd edition): Edward Beltrami Mathematics for Dynamic Modeling (Hardcover, 2nd edition)
Edward Beltrami
R3,595 Discovery Miles 35 950 Ships in 10 - 15 working days

This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines.
The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest.

* Contains a new chapter on stability of dynamic models
* Covers many realistic applications from a wide variety of fields in an accessible manner
* Provides a broad introduction to the full scope of dynamical systems
* Incorporates new developments such as new models for chemical reactions and autocatalysis
* Integrates MATLAB throughout the text in both examples and illustrations
* Includes a new introduction to nonlinear differential equations

Mathematical Elasticity, Volume 27 - Volume II: Theory of Plates (Hardcover): Philippe G. Ciarlet Mathematical Elasticity, Volume 27 - Volume II: Theory of Plates (Hardcover)
Philippe G. Ciarlet
R5,267 Discovery Miles 52 670 Ships in 10 - 15 working days

The objective of Volume II is to show how asymptotic methods, with the thickness as the small parameter, indeed provide a powerful means of justifying two-dimensional plate theories. More specifically, without any recourse to any "a priori" assumptions of a geometrical or mechanical nature, it is shown that in the linear case, the three-dimensional displacements, once properly scaled, converge in "H"1 towards a limit that satisfies the well-known two-dimensional equations of the linear Kirchhoff-Love theory; the convergence of stress is also established.

In the nonlinear case, again after "ad hoc" scalings have been performed, it is shown that the leading term of a formal asymptotic expansion of the three-dimensional solution satisfies well-known two-dimensional equations, such as those of the nonlinear Kirchhoff-Love theory, or the von Karman equations. Special attention is also given to the first convergence result obtained in this case, which leads to two-dimensional large deformation, frame-indifferent, nonlinear membrane theories. It is also demonstrated that asymptotic methods can likewise be used for justifying other lower-dimensional equations of elastic shallow shells, and the coupled pluri-dimensional equations of elastic multi-structures, i.e., structures with junctions. In each case, the existence, uniqueness or multiplicity, and regularity of solutions to the limit equations obtained in this fashion are also studied.

Covering Codes, Volume 54 (Hardcover): G. Cohen, I Honkala, S. Litsyn, A. Lobstein Covering Codes, Volume 54 (Hardcover)
G. Cohen, I Honkala, S. Litsyn, A. Lobstein
R5,193 Discovery Miles 51 930 Ships in 10 - 15 working days

The problems of constructing covering codes and of estimating their parameters are the main concern of this book. It provides a unified account of the most recent theory of covering codes and shows how a number of mathematical and engineering issues are related to covering problems.

Scientists involved in discrete mathematics, combinatorics, computer science, information theory, geometry, algebra or number theory will find the book of particular significance. It is designed both as an introductory textbook for the beginner and as a reference book for the expert mathematician and engineer.

A number of unsolved problems suitable for research projects are also discussed.

Admissibility of Logical Inference Rules, Volume 136 (Hardcover): V.V. Rybakov Admissibility of Logical Inference Rules, Volume 136 (Hardcover)
V.V. Rybakov
R5,319 Discovery Miles 53 190 Ships in 10 - 15 working days

The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on:

- admissible or permissible inference rules

- the derivability of the admissible inference rules

- the structural completeness of logics

- the bases for admissible and valid inference rules.

There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.

The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.

The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Although some knowledge of elementary logic and universal algebra are necessary, the first chapter includes all the results from universal algebra and logic that the reader needs. For graduate students in mathematics and computer science the book is an excellent textbook.

Fourier Analysis and Boundary Value Problems (Hardcover): Enrique A. Gonzalez-Velasco Fourier Analysis and Boundary Value Problems (Hardcover)
Enrique A. Gonzalez-Velasco
R2,264 Discovery Miles 22 640 Ships in 10 - 15 working days

Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics.
A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field.
Key Features
* Topics are covered from a historical perspective with biographical information on key contributors to the field
* The text contains more than 500 exercises
* Includes practical applications of the equations to problems in both engineering and physics

Linear Models - A Mean Model Approach (Hardcover): William R. Moser Linear Models - A Mean Model Approach (Hardcover)
William R. Moser; Series edited by Zbynek Sidak, David Aldous, Pranab K. Sen
R3,603 Discovery Miles 36 030 Ships in 10 - 15 working days

Linear models, normally presented in a highly theoretical and mathematical style, are brought down to earth in this comprehensive textbook. Linear Models examines the subject from a mean model perspective, defining simple and easy-to-learn rules for building mean models, regression models, mean vectors, covariance matrices and sums of squares matrices for balanced and unbalanced data sets. The author includes both applied and theoretical discussions of the multivariate normal distribution, quadratic forms, maximum likelihood estimation, less than full rank models, and general mixed models. The mean model is used to bring all of these topics together in a coherent presentation of linear model theory.
Key Features
* Provides a versatile format for investigating linear model theory, using the mean model
* Uses examples that are familiar to the student:
* design of experiments, analysis of variance, regression, and normal distribution theory
* Includes a review of relevant linear algebra concepts
* Contains fully worked examples which follow the theorem/proof presentation

History of Mathematics - States of the Art (Hardcover): Eberhard Knobloch, Menso Folkerts, Joseph Dauben, Hans Wussing History of Mathematics - States of the Art (Hardcover)
Eberhard Knobloch, Menso Folkerts, Joseph Dauben, Hans Wussing
R2,704 Discovery Miles 27 040 Ships in 10 - 15 working days

The contributors and their methods are diverse. Their papers deal with subjects such as anamorphic art, the geometry of Durer, musical works of Mozart and Beethoven, the history of negative numbers, the development of mathematical notation, and efforts to bring mathematics to bear on problems in commerce and engineering. All papers have English summaries.
This book provides historians of mathematics or mathematicians with an interest in history with an overview of the methods, concerns, and results of research in the history of mathematics as it stands today.

Logical Frameworks for Truth and Abstraction, Volume 135 - An Axiomatic Study (Hardcover): A. Cantini Logical Frameworks for Truth and Abstraction, Volume 135 - An Axiomatic Study (Hardcover)
A. Cantini
R4,939 Discovery Miles 49 390 Ships in 10 - 15 working days

This English translation of the author's original work has been thoroughly revised, expanded and updated.

The book covers logical systems known as "type-free" or "self-referential." These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are rich theories of self-application, involving both operations and truth which can serve as foundations for property theory and formal semantics; (ii) these theories provide a new outlook on classical topics, such as inductive definitions and predicative mathematics; (iii) they are particularly promising with regard to applications.

Research arising from paradoxes has moved progressively closer to the mainstream of mathematical logic and has become much more prominent in the last twenty years. A number of significant developments, techniques and results have been discovered.

Academics, students and researchers will find that the book contains a thorough overview of all relevant research in this field.

The History of Modern Mathematics - Images, Ideas, and Communities (Hardcover, 3rd edition): Eberhard Knobloch The History of Modern Mathematics - Images, Ideas, and Communities (Hardcover, 3rd edition)
Eberhard Knobloch; Series edited by David E. Rowe
R4,485 Discovery Miles 44 850 Ships in 10 - 15 working days

This volume contains nine essays dealing with historical issues of mathematics. The topics covered span three different approaches to the history of mathematics that may be considered both representative and vital tothe field. The first section, Images of Mathematics, addresses the historiographical and philosophical issues involved in determining the meaning of mathematical history. The second section, Differential Geometry and Analysis, traces the convoluted development of the ideas of differential geometry and analysis. The third section, Research Communities and International Collaboration, discusses the structure and interaction of mathematical communities through studies of the social fabric of the mathematical communities of the U.S. and China.
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