Archive for the 'Mathematics' Category

യുക്തിഭാഷ

Yukthibhasha coverശാസ്ത്രസാങ്കേതികസാമ്പത്തിക വിഷയങ്ങളിൽ ഉന്നതപഠനത്തിനും ഗവേഷണത്തിനും അവശ്യം വേണ്ടതു് ഗണിത ശാസ്ത്രത്തിലെ വ്യുത്പത്തിയാണു്. ഈ വിഷയങ്ങളിലെല്ലാമുള്ള വൈജ്ഞാനിക പ്രസിദ്ധീകരണങ്ങളിലും ചൎച്ചകളിലും ഗണിതസമവാക്യങ്ങളും നിൎദ്ധാരണങ്ങളും സുലഭമായി കാണാം. തത് മേഖലകളിലെ ഉപരിപഠനത്തിൽ ആദ്യം പരിചയിക്കുന്ന ചില ഗണിത രീതികളാണു് അവകലനം (differentiation), സമാകലനം (integration), അനന്തശ്രേണികൾ (infinite series) മുതലായവ. പതിനേഴാം നൂറ്റാണ്ടിൽ ഐസൿ ന്യൂട്ടനും വില്യം ഗോട്ട്ഫ്രീഡ് ലൈബ്‌‌നിറ്റ്സുമാണു് കലനം (calculus) എന്ന ഗണിതശാഖ ഇന്നു കാണുന്ന ക്ലിപ്ത (formal) രൂപത്തിലേക്കു് വികസിപ്പിച്ചെടുത്തതു് എന്നാണു് പൊതുവേ അംഗീകരിക്കപ്പെട്ടിട്ടുള്ളതു്. Continue reading ‘യുക്തിഭാഷ’

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/.