Geometry The Line And The Circle

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Geometry The Line And The Circle

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Author : Maureen T. Carroll
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-12-20

Geometry The Line And The Circle written by Maureen T. Carroll and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-20 with Mathematics categories.

Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Analytical Geometry The Straight Line And Circle

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Author : Arthur Le Sueur
language : en
Publisher:
Release Date : 1887

Analytical Geometry The Straight Line And Circle written by Arthur Le Sueur and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with Circle categories.

The Maple Handbook

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Author : Darren Redfern
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Maple Handbook written by Darren Redfern 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 2012-12-06 with Computers categories.

How to Use This Handbook The Maple Handbook is a complete reference tool for the Maple lan guage, and is written for all Maple users, regardless of their discipline or field(s) of interest. All the built-in mathematical, graphic, and system based commands available in Maple V Release 4 are detailed herein. Please note that The Maple Handbook does not teach the mathematics behind Maple commands. If you do not know the meaning of such concepts as definite integral, identity matrix, or prime integer, do not expect to learn them here. As well, while the introductory sections to each chapter taken together provide a basic overview of the capabil ities of Maple, it is highly recommended that you also read a more thorough tutorial such as Introduction to Maple by Andre Heck, or one of standard manuals shipped with Maple V Release 4. Overall Organization One of the main premises of The Maple Handbook is that most Maple users approach the system to solve a particular problem (or set of prob lems) in a specific subject area. Therefore, all commands are organized in logical subsets that reflect these different categories, e.g., calculus, algebra, data manipulation, etc.; the commands within a subset are ex plained in a similar language, creating a tool that allows you quick and confident access to the information necessary to complete the problem you have brought to the system.

A Treatise On The Circle And The Sphere

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Author : Julian Lowell Coolidge
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

A Treatise On The Circle And The Sphere written by Julian Lowell Coolidge and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with History categories.

Circles and spheres are central objects in geometry. Mappings that take circles to circles or spheres to spheres have special roles in metric and conformal geometry. An example of this is Lie's sphere geometry, whose group of transformations is precisely the conformal group. Coolidge's treatise looks at systems of circles and spheres and the geometry and groups associated to them. It was written (1916) at a time when Lie's enormous influence on the field was still widely felt. Today, there is a renewed interest in the geometry of special geometric configurations. Coolidge has examined many of the most intuitive: linear systems of circles, circles orthogonal to a given sphere, and so on. He also examines the differential and projective geometry of the space of all spheres in a given space.Through the simple vehicles of circles and spheres, Coolidge makes contact with diverse areas of mathematics: conformal transformations and analytic functions, projective and contact geometry, and Lie's theory of continuous groups, to name a few. The interested reader will be well rewarded by a study of this remarkable book.

Speech And System

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Author : Peter Bornedal
language : en
Publisher: Museum Tusculanum Press
Release Date : 1997

Speech And System written by Peter Bornedal and has been published by Museum Tusculanum Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Foreign Language Study categories.

In this investigation, creative writing and philosophy are shown to be specific types of language games, distinct from speech as used in communicative interaction between individuals. The author deals with thinking, speech and systems, respectively. (I) Thinking is understood as a soliloquy preceding any kind of creative activity and any kind of writing. The author analyses thinking as a subject's listening to its own voice, with a split between "I" and "me", close to Derrida's notion of "difference" as a condition for the production of meaning. (II) Analyzing - with reference to Benveniste, Austin and Searle - what speech is, the author deduces the so-called "pragmatic subject" (in contrast to the first section's reflective). In its elementary speech act the pragmatic subject does constitute itself in rudimentary ways. (III) In dealing with the product of reflective activity, the author finds the so-called textual inconsistence or logical aporias inherent in any logical or pseudo-logical system to be in line with Goedel's incompleteness theorems, and he rejects the tendency to use deconstruction to understand these aporias, as is usual in Western metaphysics. - The author's philosophical position is closest to that of Paul Ricoeur and Jacques Derrida, but on crucial issues he advances his own ideas on the relationship between speech and writing, also establishing a criticism of metaphysics that may be more radical than what has previously been developed.

Architecture In The Digital Age

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Author : Branko Kolarevic
language : en
Publisher: Taylor & Francis
Release Date : 2004-03-01

Architecture In The Digital Age written by Branko Kolarevic and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-01 with Architecture categories.

Architecture in the Digital Age addresses contemporary architectural practice in which digital technologies are radically changing how buildings are conceived, designed and produced. It discusses the digitally-driven changes, their origins, and their effects by grounding them in actual practices already taking place, while simultaneously speculating about their wider implications for the future. The book offers a diverse set of ideas as to what is relevant today and what will be relevant tomorrow for emerging architectural practices of the digital age.

A Philosophical And Mathematical Dictionary Containing Memoirs Of The Lives And Writings Of The Most Eminent Authors

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Author : Charles Hutton
language : en
Publisher:
Release Date : 1815

A Philosophical And Mathematical Dictionary Containing Memoirs Of The Lives And Writings Of The Most Eminent Authors written by Charles Hutton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1815 with categories.

Maple V Library Reference Manual

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Author : Bruce W. Char
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Maple V Library Reference Manual written by Bruce W. Char 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 2013-12-01 with Computers categories.

The design and implementation of the Maple system is an on-going project of the Symbolic Com putation Group at the University of Waterloo in Ontario, Canada. This manual corresponds with version V (roman numeral five) of the Maple system. The on-line help subsystem can be invoked from within a Maple session to view documentation on specific topics. In particular, the command ?updates points the user to documentation updates for each new version of Maple. The Maple project was first conceived in the autumn of 1980, growing out of discussions on the state of symbolic computation at the University of Waterloo. The authors wish to acknowledge many fruitful discussions with colleagues at the University of Waterloo, particularly Morven Gen tleman, Michael Malcolm, and Frank Tompa. It was recognized in these discussions that none ofthe locaIly-available systems for symbolic computation provided the facilities that should be expected for symbolic computation in modern computing environments. We concluded that since the basic design decisions for the then-current symbolic systems such as ALTRAN, CAMAL, REDUCE, and MACSYMA were based on 1960's computing technology, it would be wise to design a new system "from scratch". Thus we could take advantage of the software engineering technology which had become available in recent years, as well as drawing from the lessons of experience. Maple's basic features (elementary data structures, Input/output, arithmetic with numbers, and elementary simplification) are coded in a systems programming language for efficiency.

Quadrature Of The Circle

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Author : John A. Parker
language : en
Publisher:
Release Date : 1874

Quadrature Of The Circle written by John A. Parker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with Circle-squaring categories.

Goto Guide For Agniveer Sena Indian Army Technical Exam With 15 Practice Sets

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Author :
language : en
Publisher: Disha Publication Inc
Release Date :

Goto Guide For Agniveer Sena Indian Army Technical Exam With 15 Practice Sets written by and has been published by Disha Publication Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on with Antiques & Collectibles categories.

Disha’s ‘Go To Guide for Agniveer Sena Indian Army Technical with 15 Practice Sets’ has been prepared as per the latest pattern released by government in June 2022. The Book is a one stop solution for the Indian Army Technical. • The Book is divided into 2 Parts – A: Study Material; B – 15 Practice Sets. • Part A covers well explained theory with practice exercise. • Part A is divided into 4 Sections: I - Physics; II - Chemistry ; III - Mathematics; IV - General Knowledge • More than 2500+ questions for Practice with Hints & Solutions are provided • Part B provides 15 Practice Sets on the newly released pattern of 50 MCQs. • The Book is strictly based on the syllabus defined by Agniveer notification.