Archive for the 'Mathematics' Category

McAulay: Utility of Quaternions in Physics

The Project Gutenberg EBook of Utility of Quaternions in Physics, by A. McAulay is now available on books.sayahna.org in HTML5/MathML format. The LaTeX source files to produce this version was downloaded from www.gutenberg.org/ebooks/26262. The source files were produced by Joshua Hutchinson, Andrew D. Hwang, Carolyn Bottomley and the Online Distributed Proofreading Team at www.pgdp.net (This ebook was produced from images from the Cornell University Library: Historical Mathematics Monographs collection.)

Minor typographical corrections, regularizations, and presentational changes have been made without comment.

Title: Utility of Quaternions in Physics
Author: A. McAULAY
First published: 1893

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Fine: The Number-System of Algebra

The Project Gutenberg EBook of The Number-System of Algebra, by Henry Fine is now available on books.sayahna.org in HTML5/MathML format. The LaTeX source files to produce this version was downloaded from www.gutenberg.org/ebooks/17920. Produced by Jonathan Ingram, Susan Skinner and the Online Distributed Proofreading Team at http://www.pgdp.net. Minor typographical corrections, regularizations, and presentational changes have been made without comment.

Title: The Number-System of Algebra (Treated Theoretically and Historically)
Author: Henry Fine
Edition: 2nd

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Burnside: Theory of Groups of Finite Order

The Project Gutenberg EBook of Theory of Groups of Finite Order, by William Burnside is now available on books.sayahna.org in HTML5/MathML format. The LaTeX source files to produce this version were downloaded from www.gutenberg.org/ebooks/40395. The source file was produced by Andrew D. Hwang, Brenda Lewis, and the Online Distributed Proofreading Team at www.pgdp.net (This file was produced from images generously made available by The Internet Archive/American Libraries.) Minor typographical corrections, regularizations, and presentational changes have been made without comment.

Title: Theory of Groups of Finite Order
Author: William Burnside
First published: 1897

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Poincaré: Science and Hypothesis

The Project Gutenberg EBook of Science and Hypothesis, by Henri Poincaré is now available on books.sayahna.org in HTML5/MathML format. The camera-quality files for this public-domain ebook may be downloaded gratis at www.gutenberg.org/ebooks/37157. The source TEX file was produced using scanned images and OCR text generously provided by the University of Toronto Robarts Library through the Internet Archive.

Minor typographical corrections, regularizations, and presentational changes have been made without comment.

Title: Science and hypothesis
Author: H. Poincaré
Preface by: J. Larmor, D.Sc., Sec. R.S., Lucasian Professor of Mathematics in the University of Cambridge

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Smith: History of Modern Mathematics

The Project Gutenberg EBook of History of Modern Mathematics, by D. E. Smith is now available on books.sayahna.org in HTML5/MathML format. Minor typographical corrections and presentational changes have been made without comment.

Title: History of Modern Mathematics
Author: D. E. Smith
Series title: Mathematical Monographs
No.: 1
Editors: M. Merriman and R. S. Woodward

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Hardy: The integration of elementary functions

The Project Gutenberg EBook of The Integration of Functions of a Single Variable, by G. H. Hardy is now available on books.sayahna.org in HTML5/MathML format. Minor typographical corrections and presentational changes have been made without comment.

Title: The Integration of Functions of a Single Variable
Author: G.H. Hardy
Series title: Cambridge Tracts in Mathematics and Mathematical Physics
No. 2
Editors: P. Hall and F. Smithies

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Carmichael: The Theory of Numbers

According to the author Robert D. Carmichael, this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics. This HTML5/MathML version of this book is generated from the source files available in Project Gutenberg Ebook [EBook #13693].

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Hardy: A Course of Pure Mathematics

The third edition of the book A Course of Pure Mathematics by G.H. Hardy is now available in HTML5 and mathematics in MathML format on books.sayahna.org. This is produced using the source files downloaded from gutenberg.org. The source files were prepared by Andrew D. Hwang, Brenda Lewis, and the Online Distributed Proofreading Team at www.pgdp.net (This file was produced from images generously made available by The Internet Archive/American Libraries.) Minor typographical corrections and presentational changes have been made without comment.

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Einstein: The Meaning of Relativity

This book comprises four lectures delivered at Princeton University by Albert Einstein during May 1921. Produced by Andrew D. Hwang using OCR text generously provided by Northeastern University’s Snell Library through the Internet Archive. The camera-quality files for this public-domain ebook may be downloaded gratis at this site. Minor typographical corrections and presentational changes have been made without comment. This version of the book is in HTML5 and mathematics in MathML format. MathML is best rendered by browsers like Firefox, Opera and partially by Safari. For best results, use Firefox. The URL of the book is http://books.sayahna.org/einstein/.

Books of KSSN

Nature does not hurry, yet everything is accomplished. — LAO TZU

Prof KSS Nambooripad (KSSN) decided to release all his recent mathematical research as freely accessible content in whatever formats he could generate easily. To start with, KSSN decided to release the first part of a long book which he had been writing during his post-retirement years. The format chosen was HTML5 + MathML so that math content could easily be viewed and read in browsers that supported MathML, particularly, Firefox. PDF and eBook formats will follow soon.

Apart from sharing his research among fellow academics in semigroup theory, KSSN has the intention of telling the world how document sources marked up in TeX can best be used to generate several kinds of appealing outputs formats that ease communication of mathematics. The rationale of using TeX markup has been further explained here.

A NOTE ON MATHML RENDERING IN FIREFOX. Here are a few tips that would help view MathML marked up content in Firefox. You can find a lot of MathML fonts support information at Mozilla home. You might consider installing STIX Fonts if you are a serious user of MathML. In any Debian based GNU/Linux system, you might simply issue a command from the prompt:

  sudo apt-get install fonts-stix

A new add-on for Firefox is available here which greatly improves math rendering, in case, STIX fonts are not installed. The good thing is that Firefox does not restart after installing this add-on.

Now, let us read the books:

  1. Theory of Cross Connections
  2. Structure of Regular Semigroups