Mathematical foundations Books

This book is for researchers in computer science, mathematical logic, and philosophical logic. It shows the state of the art in current investigations of process calculi with mainly two major paradigms at work: linear logic and...

The approach to probability theory followed in this book (which differs radically from the usual one, based on a measure-theoretic framework) characterizes probability as a linear operator rather than as a measure, and is based...

Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's...

This book is an example of fruitful interaction between (non-classical) propo­ sitionallogics and (classical) model theory which was made possible due to categorical logic. Its main aim consists in investigating the existence...

Along with the traditional material concerning linear programming (the simplex method, the theory of duality, the dual simplex method), In-Depth Analysis of Linear Programming contains new results of research carried out by...

Hermann Weyl considered value distribution theory to be the greatest mathematical achievement of the first half of the 20th century. The present lectures show that this beautiful theory is still growing. An important tool is...

Il libro ""Introduzione alla Logica"" (1869) di Alessandro Paoli ����� un testo fondamentale per coloro che vogliono approfondire lo studio della logica. In questo libro, l'autore fornisce una panoramica completa sui principi fondamentali della logica,...

Le livre ""Solutions Des Exercices Et Problemes De L'Introduction A L'Arithmetique Commerciale, A L'Usage De L'Enseignement Moyen (1840)"" �����crit par Dujardin, A. est un manuel d'arithm�����tique commerciale destin����� aux �����tudiants du niveau...

Das Buch ""Die Zenonischen Beweise"" von Eugen Raab, ver������ffentlicht im Jahr 1880, besch�����ftigt sich mit den Paradoxien des antiken griechischen Philosophen Zenon von Elea. Raab beschreibt die verschiedenen Beweise von Zenon, die darauf abzielen,...

Die Grundfragen der Logik ist ein Buch von Martin Katzenberger, das im Jahr 1858 ver������ffentlicht wurde. Es handelt sich um eine Abhandlung �����ber die Grundlagen der Logik und ihre Anwendung in verschiedenen Bereichen wie Mathematik, Philosophie und...

Le livre intitul����� ""Choix De Principes D'Arithm�����tique"" a �����t����� �����crit par P. P. Pitte en 1810. C'est un livre qui traite des principes fondamentaux de l'arithm�����tique et qui peut ������tre utilis����� comme un guide pour les...

Das Buch ""Beschreibung und Gebrauchsanweisung des Abacus: oder die allgemeine Rechnungstafel"" von Leon Louis Chretien Lalanne aus dem Jahr 1846 ist eine Anleitung zur Verwendung des Abakus, einem antiken Rechenger�����t. Das Buch enth�����lt eine...

""The Primary Laws of Thought, Applied"" is a book written by John James Van Nostrand and published in 1891. The book discusses the fundamental laws of logic and reasoning, including the laws of identity, non-contradiction, and excluded middle. Van...

The Generalized Law of Error, also known as the Law of Great Numbers, is a book written by Francis Ysidro Edgeworth in 1906. The book discusses the nature of errors in statistical analysis and provides a mathematical framework for understanding and...

The Davies Standard Arithmetic is a comprehensive textbook on arithmetic, written by Charles Davies and first published in 1890. The book covers a wide range of topics in arithmetic, including addition, subtraction, multiplication, division, fractions,...

The Boy's Arithmetic, Part 1, written by Charles Arnold and published in 1850, is a comprehensive mathematical textbook designed for young boys. The book covers a wide range of arithmetic topics, including addition, subtraction, multiplication, division,...

First Lessons In Rational Arithmetic is a book written by William Hardcastle and published in 1852. The book is a comprehensive guide to rational arithmetic, which is the study of numbers and operations involving fractions and decimals. It is designed to...

Le livre intitul����� ""Cours D�������Arithmetique Raisonnee: Theorique Et Pratique Sans Le Secours D�������Aucun Maitre"", �����crit par Leonard Euler en 1865, est un manuel d'arithm�����tique avanc����� pour les �����tudiants qui souhaitent apprendre...

These volumes present a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided deisgn (CAD) and computer graphics.

Together with its compagnion volume this book presents a practical introduction to computing spline functions, the fundamental tools for fitting curves and surfaces in computer-aided design (CAD) and computer graphics.

Regression Analysis and Its Application: A Data-Oriented Approach answers the need for researchers and students who would like a better understanding of classical regression analysis. Useful either as a textbook or as a reference source, this book...

Do you see the elegant designs that are drawn on the back of the cards? Do you look right through the deck as they clutter the drawer and your mind wanders to other thoughts of the day? Do you think of the last time that you played a friendly game of...

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered...

The book reviews the development process of blockchain algorithms and examples of their applications in different sectors. The opportunities and challenges of blockchain implementations that arise in making technological innovations usable in corporate...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

Computational Methods for Numerical Analysis with R is an overview of traditional numerical analysis topics presented using R. This guide shows how common functions from linear algebra, interpolation, numerical integration, optimization, and differential...

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal...

Applied mathematics.- Similarity solutions of an MHD boundary-layer flow of a non-Newtonian fluid past a continuous moving surface.- Computational complexity investigations for?high-dimensional model representation algorithms used in multivariate...

Extensional Constructs in Intensional Type Theory presents a novel approach to the treatment of equality in Martin-Loef type theory (a basis for important work in mechanised mathematics and program verification). Martin Hofmann...

Preface. -1 INTERPOLATION and CURVE FITTING. -2 ZEROS of a FUNCTION. -3 SERIES. -4 INTEGRATION. -5 DETERMINANTS and MATRICES. -6 ORDINARY FIRST ORDER DIFFERENTIAL EQUATIONS. -7 ORDINARY SECOND ORDER DIFFERENTIAL EQUATIONS. -8 PARTIAL DIFFERENTIAL...

This book illustrates how models of complex systems are built up and provides indispensable mathematical tools for studying their dynamics. This second edition includes more recent research results and many new and improved worked out examples and...

This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated...

Quadratic programming (QP) is one advanced mathematical technique that allows for the optimization of a quadratic function in several variables in the presence of linear constraints. This book presents recently developed...

Preface 1 Introduction 1.1 Introduction 1.2 Mathematics Foundations 1.2.1 Norm 1.2.2 Inverse and Generalized Inverse of a Matrix1.2.3 Properties of Eigenvalues 1.2.4 Rank-One Update 1.2.5 Function and Differential 1.3 Convex Sets and Convex Functions 1.3...

Preliminaries.- Elements of Convex Analysis, Duality Theory.- A Posteriori Error Analysis for Idealizations in Linear Problems.- A Posteriori Error Analysis for Linearizations.- A Posteriori Error Analysis for Some Numerical Procedures.- Error Analysis...

High-Dimensional Data.- Characteristics of an Analysis Method.- Estimation of the Intrinsic Dimension.- Distance Preservation.- Topology Preservation.- Method comparisons.- Conclusions.

Since their emergence, finite element methods have taken a place as one of the most versatile and powerful methodologies for the approximate numerical solution of Partial Differential Equations. These methods are used in incompressible fluid flow, heat,...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative...

This monograph collects some fundamental mathematical techniques that are required for the analysis of algorithms. It builds on the fundamentals of combinatorial analysis and complex variable theory to present many of the major...

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United...

Das Buch ""Das Praktische Rechnen: Mit Besonderer Berucksichtigung Des Decimalsystems"" wurde 1865 von L. Baumblatt ver������ffentlicht. Es handelt sich um ein Lehrbuch, das sich mit der praktischen Anwendung von Rechenmethoden besch�����ftigt...