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Quantifier Elimination and Cylindrical Algebraic Decomposition

Posted By: AvaxGenius
Date: 7 Jun 2022 08:44:01
Quantifier Elimination and Cylindrical Algebraic Decomposition

Quantifier Elimination and Cylindrical Algebraic Decomposition by Bob F. Caviness
English | PDF | 1998 | 455 Pages | ISBN : 3211827943 | 60.4 MB

George Collins discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarskis landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.
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The Impact of UK Immigration Law

Posted By: AvaxGenius
Date: 28 May 2022 22:36:54
The Impact of UK Immigration Law

The Impact of UK Immigration Law: Declining Standards of Public Administration, Legal Probity and Democratic Accountability by Sheona York
English | PDF | 2022 | 284 Pages | ISBN : 3030987205 | 5.3 MB

“In this hugely ambitious undertaking, Sheona York brings together her decades of frontline experience and meticulous scholarship to examine the post-war history of immigration controls in terms of their detrimental impact on standards of public administration, the rule of law and democratic accountability. She exposes the consequences of an imperial, exclusionary ideology and a half-century of under-resourcing and over-legislating. She calls for a debate on citizenship and what it entails, which has never yet been conducted, and the need to build a system based on new forms of political solidarity. This book is an important resource for anyone wanting to understand the profound damage done to our legal, political and cultural infrastructure by an immigration system built on institutional racism.”
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The Foundational Debate: Complexity and Constructivity in Mathematics and Physics

Posted By: AvaxGenius
Date: 21 Dec 2021 11:05:54
The Foundational Debate: Complexity and Constructivity in Mathematics and Physics

The Foundational Debate: Complexity and Constructivity in Mathematics and Physics by Werner Depauli-Schimanovich
English | PDF | 1995 | 359 Pages | ISBN : 0792337379 | 34 MB

Constructibility and complexity play central roles in recent research in computer science, mathematics and physics. For example, scientists are investigating the complexity of computer programs, constructive proofs in mathematics and the randomness of physical processes. But there are different approaches to the explication of these concepts. This volume presents important research on the state of this discussion, especially as it refers to quantum mechanics.
This `foundational debate' in computer science, mathematics and physics was already fully developed in 1930 in the Vienna Circle.
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A Short Introduction to Intuitionistic Logic

Posted By: AvaxGenius
Date: 6 Jul 2021 12:08:37
A Short Introduction to Intuitionistic Logic

A Short Introduction to Intuitionistic Logic by Grigori Mints
English | PDF | 2000 | 130 Pages | ISBN : 0306463946 | 15.6 MB

Intuitionistic logic is presented here as part of familiar classical logic which allows mechanical extraction of programs from proofs. to make the material more accessible, basic techniques are presented first for propositional logic; Part II contains extensions to predicate logic. This material provides an introduction and a safe background for reading research literature in logic and computer science as well as advanced monographs.
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Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory

Posted By: AvaxGenius
Date: 1 Jul 2021 00:06:20
Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory

Introduction to Mathematical Logic: Set Theory Computable Functions Model Theory by Jerome Malitz
English | PDF | 1979 | 209 Pages | ISBN : 0387903461 | 16.5 MB

This book is intended as an undergraduate senior level or beginning graduate level text for mathematical logic. There are virtually no prere­ quisites, although a familiarity with notions encountered in a beginning course in abstract algebra such as groups, rings, and fields will be useful in providing some motivation for the topics in Part III.
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Tracking the Automatic ANT: And Other Mathematical Explorations

Posted By: AvaxGenius
Date: 27 Feb 2021 10:28:19
Tracking the Automatic ANT: And Other Mathematical Explorations

Tracking the Automatic ANT: And Other Mathematical Explorations by David Gale
English | PDF | 1998 | 239 Pages | ISBN : 1461274532 | 25.7 MB

For those fascinated by the abstract universe of mathematics, David Gale's columns in The Mathematical Intelligencer have been a prime source of entertainment. Here Gale's columns are collected for the first time in book form. Encouraged by the magazine's editor, Sheldon Axler, to write on whatever pleased him, Gale ranged far and wide across the field of mathematics but frequently returned to favorite themes: triangles, tilings, the mysterious properties of sequences given by simple recursions, games and paradoxes, and the particular automaton that gives this collection its title, the "automatic ant".
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Proof (Repost)

Posted By: AvaxGenius
Date: 22 Nov 2020 21:47:12
Proof (Repost)

Proof by C. Plumpton
English | PDF | 1984 | 95 Pages | ISBN : 0333367170 | 12.25 MB

Advanced level mathematics syllabuses are once again undergoing changes of content and approach, following the revolution in the early 1960swhich led to the unfortunate dichotomy between 'modern' and 'traditional' mathematics. The current trend in syllabuses for Advanced level mathematics now being developed and published by many GCE boards is towards an integrated ap- proach, taking the best of the topics and approaches of the modern and tradi- tional, in an attempt to create a realistic examination target through syllabuses which are maximal for examining and minimal for teaching. In addition, result- ing from a number of initiatives, core syllabuses are being developed for Ad- vanced level mathematics consisting of techniques of pure mathematics as taught in schools and colleges at this level.
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Mathematical Induction: A Powerful and Elegant Method of Proof

Posted By: arundhati
Date: 11 Jun 2020 01:57:32
Mathematical Induction: A Powerful and Elegant Method of Proof

Titu Andreescu, "Mathematical Induction: A Powerful and Elegant Method of Proof "
English | ISBN: 0996874593 | 2017 | 432 pages | PDF | 25 MB
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Figuring It Out: Entertaining Encounters with Everyday Math (Repost)

Posted By: AvaxGenius
Date: 15 Mar 2020 21:19:38
Figuring It Out: Entertaining Encounters with Everyday Math (Repost)

Figuring It Out: Entertaining Encounters with Everyday Math by Nuno Crato
English | PDF,EPUB | 2010 | 213 Pages | ISBN : 3642048323 | 5.94 MB

This is a book of mathematical stories — funny and puzzling mathematical stories. They tell of villains who try to steal secrets, heroes who encode their messages, and mathematicians who spend years on end searching for the best way to pile oranges.
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