Proof
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Introduction To Mathematical Proofs
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Author : Charles Roberts
language : en
Publisher: CRC Press
Release Date : 2014-12-17
Introduction To Mathematical Proofs written by Charles Roberts and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-17 with Mathematics categories.
Introduction to Mathematical Proofs helps students develop the necessary skills to write clear, correct, and concise proofs.Unlike similar textbooks, this one begins with logic since it is the underlying language of mathematics and the basis of reasoned arguments. The text then discusses deductive mathematical systems and the systems of natural num
Proof And Proving In Mathematics Education
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Author : Gila Hanna
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-06-14
Proof And Proving In Mathematics Education written by Gila Hanna and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-14 with Education categories.
*THIS BOOK IS AVAILABLE AS OPEN ACCESS BOOK ON SPRINGERLINK* One of the most significant tasks facing mathematics educators is to understand the role of mathematical reasoning and proving in mathematics teaching, so that its presence in instruction can be enhanced. This challenge has been given even greater importance by the assignment to proof of a more prominent place in the mathematics curriculum at all levels. Along with this renewed emphasis, there has been an upsurge in research on the teaching and learning of proof at all grade levels, leading to a re-examination of the role of proof in the curriculum and of its relation to other forms of explanation, illustration and justification. This book, resulting from the 19th ICMI Study, brings together a variety of viewpoints on issues such as: The potential role of reasoning and proof in deepening mathematical understanding in the classroom as it does in mathematical practice. The developmental nature of mathematical reasoning and proof in teaching and learning from the earliest grades. The development of suitable curriculum materials and teacher education programs to support the teaching of proof and proving. The book considers proof and proving as complex but foundational in mathematics. Through the systematic examination of recent research this volume offers new ideas aimed at enhancing the place of proof and proving in our classrooms.
Adapting Proofs As Programs
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Author : Iman Poernomo
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-27
Adapting Proofs As Programs written by Iman Poernomo and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-04-27 with Computers categories.
This monograph details several important advances in the direction of a practical proofs-as-programs paradigm, which constitutes a set of approaches to developing programs from proofs in constructive logic with applications to industrial-scale, complex software engineering problems. One of the books central themes is a general, abstract framework for developing new systems of programs synthesis by adapting proofs-as-programs to new contexts.
Existential Inertia And Classical Theistic Proofs
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Author : Joseph C. Schmid
language : en
Publisher: Springer Nature
Release Date : 2022-11-29
Existential Inertia And Classical Theistic Proofs written by Joseph C. Schmid and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-29 with Philosophy categories.
This book critically assesses arguments for the existence of the God of classical theism, develops an innovative account of objects’ persistence, and defends new arguments against classical theism. The authors engage the following classical theistic proofs: Aquinas’s First Way, Aquinas’s De Ente argument, and Feser’s Aristotelian, Neo-Platonic, Augustinian, Thomistic, and Rationalist proofs. The authors also provide the first systematic treatment of the ‘existential inertia thesis’. By connecting the thesis to relativity theory and recent developments in the philosophy of physics, and by developing a variety of novel existential-inertia-friendly explanations of persistence, they mount a formidable new case against classical theistic proofs. Finally, they defend new arguments against classical theism based on abstract objects and changing divine knowledge. The text appeals to students, researchers, and others interested in classical theistic proofs, the existence and nature of God, and the ultimate explanations of persistence, change, and contingency.
Proofs And Computations
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Author : Helmut Schwichtenberg
language : en
Publisher: Cambridge University Press
Release Date : 2011-12-15
Proofs And Computations written by Helmut Schwichtenberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-15 with Mathematics categories.
Driven by the question, 'What is the computational content of a (formal) proof?', this book studies fundamental interactions between proof theory and computability. It provides a unique self-contained text for advanced students and researchers in mathematical logic and computer science. Part I covers basic proof theory, computability and Gödel's theorems. Part II studies and classifies provable recursion in classical systems, from fragments of Peano arithmetic up to Π11–CA0. Ordinal analysis and the (Schwichtenberg–Wainer) subrecursive hierarchies play a central role and are used in proving the 'modified finite Ramsey' and 'extended Kruskal' independence results for PA and Π11–CA0. Part III develops the theoretical underpinnings of the first author's proof assistant MINLOG. Three chapters cover higher-type computability via information systems, a constructive theory TCF of computable functionals, realizability, Dialectica interpretation, computationally significant quantifiers and connectives and polytime complexity in a two-sorted, higher-type arithmetic with linear logic.
Proofs Of The Prophets
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Author : Peter Terry
language : en
Publisher: Lulu.com
Release Date : 2008-03
Proofs Of The Prophets written by Peter Terry and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03 with Religion categories.
A description of forty proofs of prophethood derived from a close study of the Babi and Baha'i Writings, as well as the Sacred Texts of several other religious traditions.
Automata Languages And Programming
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Author : Michele Bugliesi
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-30
Automata Languages And Programming written by Michele Bugliesi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-30 with Computers categories.
The two-volume set LNCS 4051 and LNCS 4052 constitutes the refereed proceedings of the 33rd International Colloquium on Automata, Languages and Programming, ICALP 2006, held in Venice, Italy, July 2006. In all, these volumes present more 100 papers and lectures. Volume II (4052) presents 2 invited papers and 2 additional conference tracks with 24 papers each, focusing on algorithms, automata, complexity and games as well as on security and cryptography foundation.
Harmonized Tariff Schedule Of The United States
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Author : United States
language : en
Publisher:
Release Date : 1987
Harmonized Tariff Schedule Of The United States written by United States and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Tariff categories.
Proofs From The Book
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Proofs From The Book written by Martin Aigner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Mathematics categories.
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from Number Theory, Geometry, Analysis, Combinatorics, and Graph Theory. Thirty beautiful examples are presented here. They are candidates for The Book in which God records the perfect proofs - according to the late Paul Erdös, who himself suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background.
Internal Revenue Acts Of The United States 1909 1950
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Author : Bernard D. Reams (Jr.)
language : en
Publisher:
Release Date : 1979
Internal Revenue Acts Of The United States 1909 1950 written by Bernard D. Reams (Jr.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Taxation categories.