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History Of Calculus: more books (100)

A history of the conceptions of limits and fluxions in Great Britain, from Newton to Woodhouse, (The Open court series of classics of science and philosophy) by Florian Cajori, 1919
A history of the progress of the calculus of variations during the nineteenth century. Cambridge and
The History of Notations of the Calculus by Florian CAJORI, 1923
History of the Progress of the Calculus by I Todhunter, 1980
A History Of The Progress Of The Calculus Of Varia by I. Todhunter, 2005
A history of the progress of the calculus of variations during t by Todhunter. I. (Isaac). 1820-1884., 1861-01-01
Program guide and workbook to accompany the videotape on Early history of mathematics by Tom M Apostol, 2000
The evolution and philosophy of the infinitesimal calculus by Gustave Legras, 1896
Addenda to Calculus, an historical approach by William McGowen Priestley, 1981
Short Calculus by Serge Lang, 2001-11-29
Calculus Gems (Spectrum) by George F. Simmons, 2007-01-12
From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom (Mathematical Association of America Notes)
The Implicit Function Theorem: History, Theory, and Applications by Steven G. Krantz, Harold R. Parks, 2002-04-05
Some Points in Analysis and Their History (University Lecture Series, Vol 11) ULECT/11 by Lars Garding, 1997-07

lists with details

Mathematics Reference
Trigonometry identities and calculus rules for integration and differentiation.
http://www.alcyone.com/max/reference/maths/index.html
Karl's Calculus Tutor: Starting Page For 1st Year Calculus Tutorial
Introductory information on counting numbers, integers, limits, and derivatives.
http://www.karlscalculus.org/

Extractions: Enter the tutorial (below) or search this website for a calculus topic. You will find coverage of limits, continuity, derivatives, related rates, optimization, L'Hopital's rule, integration, and much more. There are dozens of problems worked out for you step-by-step. If you are having difficulty with a calculus topic, you are encouraged to go to the appropriate section, look at the text, and then follow along with the worked problems to learn how you can do similar problems on your own. There is also remedial coverage of algebra topics, number systems, exponentials, logs, trig functions and trigonometry, if you are in need of review on these topics. Email help on math problems is available, but please read the instructions for emailing me first.
The Yacas Computer Algebra System
Acronym for Yet Another Computer Algebra System, an opensource software package. Supports arbitrary precision arithmetic, matrices, and differential and integral calculus.
http://www.xs4all.nl/~apinkus/yacas.html

Extractions: Yacas is a general purpose easy to use Computer Algebra System (a CAS is a program that can be used to do symbolic manipulation of mathematical expressions). It is built on top of its own programming language designed for this purpose, in which new algorithms can easily be implemented. In addition, it comes with extensive documentation on the functionality implemented and methods used to implement them.
Steven Shreve's Lectures On Stochastic Calculus And Finance
Notes in probability theory prepared by Prasad Chalasani and Somesh Jha, with a strong bias towards financial modeling and option pricing.
http://www.cs.cmu.edu/~chal/shreve.html
Nrich.maths.org::Mathematics Enrichment::Fractional Calculus I
Using the gamma function, a definition of integration and differentiation performed a fractional number of times is presented.
http://www.nrich.maths.org/public/viewer.php?obj_id=1365&part=index&refp
Luke Ong
Merton College, Oxford Categorical logic, game semantics, type theory, lambda calculus, semantics of programming languages, and sequentiality.
http://web.comlab.ox.ac.uk/oucl/people/luke.ong.html
Progress In PDEs Home Page
The main purpose of the meeting is to bring together leading experts in this broad and fastmoving area with the objective of highlighting recent important developments. Particular attention will be paid to developments in PDEs that relate to the sciences and other areas of mathematics such as geometry, the calculus of variations, dynamical systems and stochastic analysis. Edinburgh; 913 July 2001.
http://www.ma.hw.ac.uk/icms/current/progpde/

Extractions: The main purpose of the meeting is to bring together leading experts in this broad and fast-moving area with the objective of highlighting recent important developments. Particular attention will be paid to developments in PDEs that relate to the sciences and other areas of mathematics such as geometry, the calculus of variations, dynamical systems and stochastic analysis.
Deep Inference And The Calculus Of Structures
The calculus of structures is a new proof theoretical formalism. It exploits a topdown symmetry of derivations made possible by deep inference.
http://alessio.guglielmi.name/res/cos/index.html

Extractions: NEW Greg Restall will be teaching the course Proof, Cut Elimination and Normalisation at next ESSLLI 2005 in Edinburgh (August '05). This page contains: Introduction Frequently Asked Questions and Useful Remarks for Referees Papers, Lectures and Theses Classical and Intuitionistic Logic ... Acknowledgements Other pages contain more detailed information: Frequently Asked Questions and Useful Remarks for Referees General The Calculus of Structures Vs. the Sequent Calculus Cut Elimination and the Subformula Property ... Philosophy Papers, Lectures and Theses Classical and Intuitionistic Logic Linear Logic Modal Logic Commutative/Non-commutative Linear Logic ... BV The calculus of structures , briefly indicated by CoS , is a new proof theoretical formalism, introduced by myself in 1999 and initially developed by members of my group in Dresden since 2000. It exploits a new top-down symmetry of derivations made possible by deep inference . We can present deductive systems in CoS and analyse their properties, as we do in the sequent calculus
Bondi K-Calculus
A simple derivation of Einstein's theory of relativity which is widely taught to undergraduate physics students. The mathematics required though make this easy for anyone to understand.
http://www.geocities.com/ResearchTriangle/System/8956/Bondi/intro.htm

Extractions: Now before all of the 'scientists' click to the next page and dismiss this as a derivation without substance, let me present a few details. The method was created by Sir Hermann Bondi, who not only wrote numerous papers on the theory of relativity, but was also given a professorship at Cambridge University. The derivation presented here is taught in undergraduate and graduate level physics courses around the world. Unfortunately it is rarely taught in High Schools, where its simplicity would benefit all students struggling with the traditional lorentz transformation derivation of relativity. As is done in most derivations, let us limit space to a single dimension to spare having to draw four-dimensional figures on a two dimensional screen. In the diagram below, let the vertical axis represent time and the horizontal axis represent space. Then a curve in the diagram represents a point in space which is 'moving'.(As time progresses, the point changes its position). If the curve is a straight line, the point moves at a constant velocity.
Financial Calculus
By Martin Baxter and Andrew Rennie (CUP, 1996). Contents, preface, errata, supplementary text, reviews.
http://www.financialcalculus.co.uk/

Extractions: Financial Calculus The website of Financial Calculus: an introduction to derivative pricing . This book has been written by Martin Baxter and Andrew Rennie, and is published by Cambridge University Press. The site contains features, errata, additional bonus text plus information about the authors and the book, which is now also available in Japanese and Hungarian. Electoral Calculus The next British General Election result is predicted using scientific analysis of opinion polls and electoral geography. There are also detailed predictions of every seat, including a list of target vulnerable seats, and a complete nationwide list of seat predictions. Martin Baxter Home Page Personal website, containing contact information, past academic publications and assorted trivia.
Introduction To Translation Of Grassmann's Ausdehnungslehre
Explains the published paper called Ausdehnungslehre, which translates to Theory of Extension . The purpose is to create a universal type of geometric calculus. This development is used in linear and nonlinear algebra, today.
http://www.maths.utas.edu.au/People/dfs/Papers/GrassmannTranslation/node3.html

Extractions: NEXT PAGE CONTENTS PREVIOUS PAGE Hermann Grassmann's 1862 Ausdehnungslehre (literally, ``Theory of Extension'') is one of the great mathematical works of the nineteenth century. In it the foundations of linear and multilinear algebra are laid and much of the superstructure too is constructed. It is regrettable that such a book on such a subject should, from the moment of publication, have been not much read. Indeed, Grassmann's reputation for impenetrability has persisted to this day. Yet one may suspect that a writer who is, in many respects, a century ahead of his time will be somewhat more readable when that century has elapsed than he was to his contemporaries. It is my hope that this translation and commentary will make it easy for today's mathematically educated reader to appreciate Grassmann's presentation of the theory of basis and dimension - it does not differ much from the initial chapter of a modern linear algebra text. The work called simply Die Ausdehnungslehre , though its title page bears the date 1862, actually appeared in the latter half of 1861. It was Grassmann's second attempt to present his theory and was totally different in conception from
Math Homework Help For Algebra, Geometry, Calculus And More.
Solutions and problems in popular US textbooks, algebra through calculus. Solutions include hints and explain steps up to and including the final answer.
http://www.hotmath.com/

Extractions: Hotmath , Inc. We help with middle school math homework, prealgebra homework, algebra homework, geometry homework, college algebra homework, precalculus homework, and calculus homework. We are proud to serve thousands of middle schools high schools and colleges , tens of thousands of teachers, plus hundreds of thousands of individual parents and students Please enter our website now to see how easy it is to use Hotmath.com to help you answer your math homework problems from math textbooks. Get help right now for your math homework problems assigned from textbooks. Our tutorial solutions with graphs, figures, hints and answers cover math textbook homework problems for grades 6 through high school math and college math. We show how to solve odd-numbered textbook prealgebra problems algebra problems geometry problems college algebra problems ... precalculus problems , and calculus problems.
Untitled Document
Mathematica package for doing tensor and exterior calculus on differentiable manifolds.
http://baldufa.upc.es/ttc/
Quantum Logic And Probability Theory
How quantum mechanics can be regarded as a nonclassical probabilistic calculus; by Alexander Wilce.
http://plato.stanford.edu/entries/qt-quantlog/

Extractions: Please Read How You Can Help Keep the Encyclopedia Free At its core, quantum mechanics can be regarded as a non-classical probability calculus resting upon a non-classical propositional logic. More specifically, in quantum mechanics each probability-bearing proposition of the form "the value of physical quantity A lies in the range B " is represented by a projection operator on a Hilbert space H . These form a non-Boolean in particular, non-distributive orthocomplemented lattice. Quantum-mechanical states correspond exactly to probability measures (suitably defined) on this lattice. What are we to make of this? Some have argued that the empirical success of quantum mechanics calls for a revolution in logic itself. This view is associated with the demand for a realistic interpretation of quantum mechanics, i.e., one not grounded in any primitive notion of measurement. Against this, there is a long tradition of interpreting quantum mechanics operationally, that is, as being precisely a theory of measurement. On this latter view, it is not surprising that a "logic" of measurement-outcomes, in a setting where not all measurements are compatible, should prove not to be Boolean. Rather, the mystery is why it should have the
Index
The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces, but the conference is intended to have a broad scope with talks on a variety of topics of current interest in topology. Isle of Skye, Scotland; 24 30 June 2001.
http://maths.abdn.ac.uk/~stc2001/

Extractions: An international Algebraic Topology conference is planned for the last week of June 2001 (June 24 - 30, 2001). The conference will take place on the Isle of Skye - a scenic island off the west coast of Scotland. The emphasis of the conference is on categorical decomposition techniques, especially calculus of functors and homology decompositions of classifying spaces. But the conference is intended to have a broad scope, with talks on a variety of topics of current interest in topology. A London Mathematical Society invited lecture series will take place in Aberdeen the week before the conference (June 18 - 23, 2001). Prof. T. Goodwillie will give a series of ten lectures on calculus of functors. Participants who wish to attend both meetings are encouraged to do so and will enjoy reduced registration fees. The following mathematicians have agreed to attend and give a plenary talk.
Lambda Calculus
An online introduction to the lambda calculus by Lloyd Allison, complete with a web form that will evaluate lambda expressions.
http://www.csse.monash.edu.au/~lloyd/tildeFP/Lambda/

Extractions: There are lazy and strict versions of the toy lambda-calculus interpreter. They both share the same input syntax and can be used on the same example lambda-calculus programs, although some programs will not work (i.e. will loop) when using the strict interpreter of course. Lazy Interpreter Strict Interpreter main programs Lazy.p Strict.p declarations define values lazy.type.P interpreters proper lazy.exec.P strict.exec.P output lazy.show.P (strict evaluation) apply functions lazy.apply.P strict.apply.P process declarations lazy.D.P strict.D.P binary operators lazy.O.P unary operators lazy.U.P strict.U.P manipulate environments lazy.env.P strict.env.P form basic values lazy.mkval.P It is a useful exercise to compare the strict and lazy versions of the above files, particularly the two *.eval.P files. lexical syntax lex.type.P
Math Forum Public Discussions
Group topics include general math, education, geometry, software, calculus reform, research and recreations.
http://mathforum.org/kb/forumindex.jspa
Convergence!
An online magazine of the MAA providing resources to teach mathematics through its history. Free access.
http://convergence.mathdl.org/

Extractions: see more problems Simpson's methods for finding maxima and minima are explored by using examples from his "Doctrine and Application of Fluxions". Many of his techniques could be used in today's classroom. A song for Pi Day. An interesting problem from Banneker's notebook as well as other problems to use with students. This is a translation from the original Greek of a manuscript on magic squares by the Byzantine scholar Manuel Moschopoulos, written about 1315. Mathematics is often referred to today as the "science of patterns." But has this always been true historically, or is this something that happened in recent times? The question is discussed here with reference to the work of Euclid and Jacob Steiner.
Ciprian Tudor
Laboratoire de Probabilites et Modeles Aleatoires, Universit© de Paris VI. Research interests Anticipating Stochastic calculus; Fractional Brownian Motion; Mathematical Finance; Weak Convergence; Stochastic Differential Equations.
http://pageperso.aol.fr/cipriantudor/
ESAIM Control, Optimisation And Calculus Of Variations
Part of European Series in Applied and Industrial Mathematics. Full text from vol.1 (1995).
http://www.edpsciences.com/cocv/

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