First Lessons In Arithmetic Io The Inductive Plan
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First Lessons In Arithmetic Io The Inductive Plan
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Author : William J. Milne
language : en
Publisher: Createspace Independent Publishing Platform
Release Date : 2016-10-10
First Lessons In Arithmetic Io The Inductive Plan written by William J. Milne and has been published by Createspace Independent Publishing Platform this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-10 with categories.
From the Preface. This book is designed to teach the principles of Arithmetical Science as far as they are involved in the elementary processes, and to secure a reasonable degree of accuracy and rapidity in expressing numbers and computing results. The pupils for whose use this book is intended cannot be expected, at the outset, to explain processes, give definitions, or assign reasons, though their notions of all of them may be quite correct; much less should they be expected to grasp the principles of a science by committing to memory statements which are the deductions and generalizations of persons entirely familiar with the subjects treated. And, therefore, this work has been prepared upon the inductive and objective methods, so that the pupil may obtain his knowledge of arithmetic from actual work with numbers, rather than from the stereotyped statements of the book. The true method of awakening in the child a clear idea of numbers is through a perception of objects, or by pictures or other representations of them. After he has become familiar with things and their names, the name will signify to him all that he needs to know about the objects so far as number is concerned; and it is no longer necessary that the objects should be present before him. The necessity, too, of associating the same numbers with such a variety of things, causes him at length to cease to regard them in connection with any particular thing, or as anything more than abstractions. In harmony with these laws of the development and growth of mind, this work presents at first the idea of number connected with visual representations of objects; afterward, when the pupils become familiar with the objects, concrete examples are given without illustration, and these are immediately followed by exercises upon abstract numbers, so that the pupil may become familiar with the various combinations that may be formed. The first lessons are devoted to instruction in counting, reading, and writing numbers up to twenty. Immediately following these, are lessons upon Addition, in which abundant practice is given in combining numbers. The fundamental processes of Subtraction, Multiplication and Division, are treated upon a plan similar to that exemplified in Addition, including besides, numerous examples combining two or more of the previous processes. The lessons on Fractions are so simple and yet so thorough, that the pupil is enabled to read, write, add, subtract, multiply, and divide fractions when the processes are not very complex. The work on Written Arithmetic, which follows, is believed to be simple, thorough, and practical; and the brief and practical treatment of the various classes of denominate numbers in common use, makes the work quite comprehensive within its scope. With the hope that the features of this book will commend it to all intelligent persons, and that instruction in the rudiments of arithmetic may be rendered more interesting and effective through its agency, it is confidently offered to the public.
Metamathematics Of First Order Arithmetic
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Author : Petr Hájek
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-02
Metamathematics Of First Order Arithmetic written by Petr Hájek 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 2017-03-02 with Mathematics categories.
A much-needed monograph on the metamathematics of first-order arithmetic, paying particular attention to fragments of Peano arithmetic.
Lectures On The Arithmetic Riemann Roch Theorem Am 127 Volume 127
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Author : Gerd Faltings
language : en
Publisher: Princeton University Press
Release Date : 2016-03-02
Lectures On The Arithmetic Riemann Roch Theorem Am 127 Volume 127 written by Gerd Faltings and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Mathematics categories.
The arithmetic Riemann-Roch Theorem has been shown recently by Bismut-Gillet-Soul. The proof mixes algebra, arithmetic, and analysis. The purpose of this book is to give a concise introduction to the necessary techniques, and to present a simplified and extended version of the proof. It should enable mathematicians with a background in arithmetic algebraic geometry to understand some basic techniques in the rapidly evolving field of Arakelov-theory.
Robinson S Progressive Intellectual Arithmetic
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Author : Horatio Nelson Robinson
language : en
Publisher:
Release Date : 1871
Robinson S Progressive Intellectual Arithmetic written by Horatio Nelson Robinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1871 with Mental arithmetic categories.
Proof And Computation Ii From Proof Theory And Univalent Mathematics To Program Extraction And Verification
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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2021-07-27
Proof And Computation Ii From Proof Theory And Univalent Mathematics To Program Extraction And Verification written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-27 with Mathematics categories.
This book is for graduate students and researchers, introducing modern foundational research in mathematics, computer science, and philosophy from an interdisciplinary point of view. Its scope includes proof theory, constructive mathematics and type theory, univalent mathematics and point-free approaches to topology, extraction of certified programs from proofs, automated proofs in the automotive industry, as well as the philosophical and historical background of proof theory. By filling the gap between (under-)graduate level textbooks and advanced research papers, the book gives a scholarly account of recent developments and emerging branches of the aforementioned fields.
Formal Ontology In Information Systems
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Author : R. Ferrario
language : en
Publisher: IOS Press
Release Date : 2016-07-06
Formal Ontology In Information Systems written by R. Ferrario and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-06 with Computers categories.
Ontology, originally a fundamental part of philosophical enquiry, is concerned with the analysis and categorization of what exists. The advent of complex information systems which rely on robust and coherent formal representations of their subject matter has led to a renewed focus on ontological enquiry, and the systematic study of such representations are at the center of the modern discipline of formal ontology. This is now a research focus in domains as diverse as conceptual modeling, database design, software engineering, artificial intelligence, computational linguistics, the life sciences, bioinformatics, geographic information science, knowledge engineering, information retrieval and the semantic web. This book presents the proceedings of the 9th edition of the Formal Ontology in Information Systems conference (FOIS 2016) held in Annecy, France, in July 2016. It contains the 25 full papers delivered at the conference (an acceptance rate of 30.9% for the main track), as well as the abstracts of the 3 keynotes by Gilberto Câmara, Stephen Mumford and Friederike Moltmann. The remainder of the book is divided into the sections: Foundations; Space, Time and Change; Cognition, Language and Semantics; Empiricism and Measurement; Ontology for Engineering; Biomedical Ontologies; and Ontology of Social Reality. The domains addressed by the papers include geography, biomedicine, economics, social reality and engineering, and the book will be of interest to all those working in these fields, as well as to anybody with an interest in formal ontology.
Logic And Program Semantics
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Author : Robert L. Constable
language : en
Publisher: Springer
Release Date : 2012-04-26
Logic And Program Semantics written by Robert L. Constable and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Computers categories.
This Festschrift volume is published in honor of Dexter Kozen on the occasion of his 60th birthday. Dexter Kozen has been a leader in the development of Kleene Algebras (KAs). The contributions in this volume reflect the breadth of his work and influence. The volume includes 19 full papers related to Dexter Kozen's research. They deal with coalgebraic methods, congruence closure; the completeness of various programming logics; decision procedure for logics; alternation; algorithms and complexity; and programming languages and program analysis. The second part of this volume includes laudatios from several collaborators, students and friends, including the members of his current band.
Annual Report Of The Director Of Selective Service For The Fiscal Year To The Congress Of The United States Pursuant To The Universal Military Training And Service Act As Amended
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Author : United States. Selective Service System
language : en
Publisher:
Release Date : 1952
Annual Report Of The Director Of Selective Service For The Fiscal Year To The Congress Of The United States Pursuant To The Universal Military Training And Service Act As Amended written by United States. Selective Service System and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Draft categories.
Logic And Algebra
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Author : Aldo Ursini
language : en
Publisher: Routledge
Release Date : 2017-10-05
Logic And Algebra written by Aldo Ursini and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-05 with Mathematics categories.
""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.
New England Journal Of Education
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Author : Thomas Williams Bicknell
language : en
Publisher:
Release Date : 1877
New England Journal Of Education written by Thomas Williams Bicknell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1877 with Education categories.