Mathematical foundations Books

One of the characteristics of modern algebra is the development of new tools and concepts for exploring classes of algebraic systems, whereas the research on individual algebraic systems (e. g. , groups, rings, Lie algebras,...

'Et moi, ... , si j'avait su comment en revenir, One service mathematics has rendered the je n'y se.rais point aile.' human race. It has put common sense back Jules Verne where it belongs, on !be topmost shelf next to the dusty...

It is widely assumed that there exist certain objects which can in no way be distinguished from each other, unless by their location in space or other reference-system. Some of these are, in a broad sense, 'empirical objects',...

This book presents intellectual, innovative, information technologies (I3-technologies) based on logical and probabilistic (LP) risk models. The technologies presented here consider such models for structurally complex systems and processes with logical...

Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and...

1 Truth Values2 Truth Values and the Slingshot Argument3 Generalized Truth Values: From FOUR2 to SIXTEEN34 Generalized Truth Values: SIXTEEN3 and BeyondAxiom Systems for Trilattice LogicsSequent Systems for Trilattice LogicsIntuitionistic Trilattice...

Preface.- Chapter 1. Prologue: de Finetti coherence criterion and Łukasiewicz logic.- Chapter 2. Rational polyhedra, Interpolation, Amalgamation.- Chapter 3. The Galois connection (Mod, Th) in Ł∞ 21.- Chapter 4. The spectral and the maximal spectral...

Proof, Computation and Agency: Logic at the Crossroads provides an overview of modern logic and its relationship with other disciplines. As a highlight, several articles pursue an inspiring paradigm called 'social software', which studies patterns of...

This book presents logical foundations of dual tableaux together with a number of their applications both to logics traditionally dealt with in mathematics and philosophy (such as modal, intuitionistic, relevant, and many-valued logics) and to various...

This book contains selected papers of NSC08, the 2nd Conference on Nonlinear Science and Complexity, held 28-31 July, 2008, Porto, Portugal. It focuses on fundamental theories and principles, analytical and symbolic approaches, computational techniques...

Many years of practical experience in teaching discrete mathematics form the basis of this text book. Part I contains problems on such topics as Boolean algebra, k-valued logics, graphs and networks, elements of coding...

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no...

without a properly developed inconsistent calculus based on infinitesimals, then in­ consistent claims from the history of the calculus might well simply be symptoms of confusion. This is addressed in Chapter 5. It is further...

Phenomenology of Diesel Combustion and Modeling Diesel is the most efficient combustion engine today and it plays an important role in transport of goods and passengers on land and on high seas. The emissions must be controlled as stipulated by the...

In the last two decades modal logic has undergone an explosive growth, to thepointthatacompletebibliographyofthisbranchoflogic,supposingthat someone were capable to compile it, would ?ll itself a ponderous volume. What is impressive in the growth of...

LES Governing Equations.- Compressible Turbulence Dynamics.- Functional Modeling.- Explicit Structural Modeling.- Relation Between SGS Model and Numerical Discretization.- Boundary Conditions for Large-Eddy Simulation of Compressible Flows.- Subsonic...

This book is aimed to be both a textbook for graduate students and a starting point for applicationsscientists. It is designedto show how to implementspectral methods to approximate the solutions of partial differential...

In the last century, developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic. There has been an influx of new ideas, concerns, and logical systems reflecting a great...

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will tind the tinal question. G. K. Chesterton...

Problems in decision making and in other areas such as pattern recogni­ tion, control, structural engineering etc. involve numerous aspects of uncertainty. Additional vagueness is introduced as models become more complex but...

This book is intended to be a survey of the most important results in mathematical logic for philosophers. It is a survey of results which have philosophical significance and it is intended to be accessible to philosophers. I...

This book is intended to serve as an advanced text and reference work on modal logic, a subject of growing importance which has applications to philosophy and linguistics. Although it is based mainly on research which I carried...

The main item in the present volume was published in 1930 under the title Das Unendliche in der Mathematik und seine Ausschaltung. It was at that time the fullest systematic account from the standpoint of Husserl's ...

As long as algebra and geometry The unreasonable effectiveness of proceeded along separate paths, mathematics in science . . . Eugene Wigner their advance was slow and their applications limited. But when these sciences joined...

This is a collection of invited papers from the 1975 International Sym­ posium on Multiple-valued Logic. Also included is an extensive bib­ liography of works in the field of multiple-valued logic prior to 1975 - this ...

This book is addressed primarily to researchers specializing in mathemat­ ical logic. It may also be of interest to students completing a Masters Degree in mathematics and desiring to embark on research in logic, as well as to...

What is the role of exercise in maintaining good health and preventing metabolic disease, hypertension, cardiorespiratory disease, cancer, and obesity? What is the optimal exercise level to prevent such common diseases and...

This book presents the basic theory and experimental techniques of transport phenomena in materials processing operations. Such fundamental knowledge is highly useful for researchers and engineers in the field to improve the efficiency of conventional...

This book focuses on the finite element method influid flows. It is targeted at researchers, from those just starting out up topractitioners with some experience. Part I is devoted to the beginners who arealready familiar with elementary calculus...

Feller Semigroups, Bernstein type Operators and Generalized Convexity Associated with Positive Projections.- Gregory's Rational Cubic Splines in Interpolation Subject to Derivative Obstacles.- Interpolation by Splines on Triangulations Oleg Davydov.- On...

The journal aequationes mathematicae publishes papers in pure and applied mathematics and, in particular, articles on functional equations, combinatorics and dynamical systems. Its 50th volume appears in 1995. To mark this...

Circuit Simulation.- A new efficient numerical integration scheme for highly oscillatory electric circuits.- Numerische Lösung von hierarchisch strukturierten Systemen von Algebro-Differentialgleichungen.- Partitioning and multirate strategies in latent...

I Invited Papers.- 1 On Robust and Adaptive Multi-Grid Methods.- 2 A Generalized Multigrid Theory in the Style of Standard Iterative Methods.- 3 Turbulence Modelling as a Multi-Level Approach.- 4 The Frequency Decomposition Multi-Grid Method.- 5...

1 The Abstract Cauchy Problem.- 1. Well-Posedness of the Differential Cauchy Problem in C(E).- 1. The Cauchy problem in a Banach space E. Definition of well-posedness in C(E).- 2. Examples of well-posed and ill-posed problems in C(E).- 3. The homogeneous...

MuPAD is a computer algebra project of the MathPAD group at the University of Paderborn. MuPAD was designed as a parallel system. The design and implemen­ tation of MuPAD grew out of the desire to efficiently handle large data...

1 Basic Principles and Facts.- 2 Gegenbauer Polynomials.- 3 Multivariate Polynomials.- 4 Polynomials on Sphere and Ball.- 5 Approximation Methods.- 6 Approximation on the Sphere.- 7 Approximation on the Ball.- 8 Tomography.- A Legendre Basis.- B Zeros of...

Shape grammars provide a means for the recursive specification of shapes. The formalism for shape grammars is designed to be easily usable and understandable by people and at the same time to be adaptable for use in computer...

Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran­ stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die...

Implizite RUNGE-KUTTA-Formeln wurden erstmals in einer Reihe von Arbeiten ([1], [2], [3]) von J. C. BUTCHER systematisch untersucht. Hierbei wurden ver­ schiedene Annahmen uber die Lage der n Stiitzstellen getroffen. Fur die...

Logik ist überall: im vernunftgemäßen Urteil, in der Einsicht, die den Glauben ergänzt, in Sprache und Mathematik, in einer aufgeklärten Ethik und in der Frage nach der Wahrheit und den Grenzen des Wissens. Sie scheint unverzichtbar, selbstverständlich...

Dieses Lehrbuch wendet sich hauptsächlich an Studierende der Ingenieur- und Naturwissenschaften sowie der Informatik, aber auch an in der angewandten Praxis tätige Absolventen dieser Disziplinen. Es wird ein weites Spektrum von verschiedenen...

Dieses Lehrbuch vermittelt die Wirkungsweise vieler unterschiedlicher Grundbausteine numerischer Algorithmen. Übergeordnete Zielsetzung ist die Stärkung der Fähigkeit, numerische Ergebnisse einschätzen und bewerten zu können, sowie die numerischen...

What is the phenomenon of quantum entanglement? If you read popular science literature, there is talk of socks that are red and blue at the same time, but monochromatic - how is that supposed to work? If you read scientific literature, you have to have...

Strategic behavior is the key to social interaction, from the ever-evolving world of living beings to the modern theatre of designed computational agents. Strategies can make or break participants' aspirations, whether they are selling a house, playing...