61. Advanced Calculus And Analysis MA1002 Lecture notes by Ian Craw from a course at the Univ. of Aberdeen. HTML with GIFs. http://www.maths.abdn.ac.uk/~igc/tch/ma2001/notes/notes.html

Next: Foreword Up: MA2001 Home Page Contents Index Advanced Calculus and Analysis Ian Craw Foreword These Notes Acknowledgements Contents ... The probability integral e d x The number e is irrational Differentiation of Functions of Several Variables Functions of Several Variables Graphing functions of Several Variables Continuity ... About this document ... Ian Craw 2002-01-07

62. Simone Martini University of Bologna, Italy Type systems for programming languages, logic in computer science, lambda-calculus. http://www.cs.unibo.it/~martini/

home contact teaching publications ... Dipartimento di Scienze dell'Informazione Simone Martini Simone Martini Professor of Computer Science Simone Martini received the Laurea degree in Scienze dell'Informazione and the Dottorato di Ricerca in Informatica (Ph.D. in Computer Science) from . He has been visitor at Digital Equipment Corporation, Systems Research Center in Palo Alto, at Stanford University , Department of Computer Science, and at His research interests are in the logical foundations of programming languages. He has written papers in lambda-calculus, type theory, linear and resource logics.

63. Shreve Notes in probability theory prepared by Prasad Chalasani and Somesh Jha, with a strong bias towards Category Science Math Probability Teaching Resources......Steven Shreve's Lectures on Stochastic calculus and Finance. New Risk Waters CourseStochastic calculus for Derivatives Frankfurt/London/New York, March 2003. http://www.cs.cmu.edu/~chal/shreve.html

Steven Shreve 's Lectures on Stochastic Calculus and Finance Prepared by Prasad Chalasani and Somesh Jha New Risk Waters Course: Stochastic Calculus for Derivatives: Frankfurt/London/New York, March 2003 In the table of contents below, click on a chapter name to down-load that chapter (Postscript). You may also down-load/view the entire document (364 pages) in Postscript or PDF format. If the links don't work, try re-loading this page. PC/Mac Users: You may need to download a Postscript viewer or a PDF viewer to view these notes. FastCounter by LinkExchange Table of contents Probability Theory Binomial asset pricing Finite probability spaces Lebesgue measure, lebesgue integral General probability spaces Independence Conditional Expectation Binomial model for stock prices Information Conditional expectation Martingales Arbitrage Pricing Binomial pricing General one-step APT Risk-neutral probability measure, portfolio process Simple European derivative securities Completeness of binomial model Markov Property Binomial model pricing and hedging Computational issues Markov processes Showing that a process is Markov Applications to exotic options Stopping times, American Options

64. `The Calculus Of Logic' By George Boole Seminal paper of 1848 available in various formats.Category Science Math History People Boole, George......`The calculus of Logic' by George Boole. The calculus of Logic by George Boole,first published in The Cambridge and Dublin Mathematical Journal , vol. http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/

`The Calculus of Logic' by George Boole The Calculus of Logic by George Boole, first published in The Cambridge and Dublin Mathematical Journal , vol. 3 (1848), is available here in the following formats: HTML (with inlined images) PDF LaTeX DVI PostScript (US Letter size) ... PostScript (A4 size) Links: George Boole (1815-1864) The History of Mathematics D.R. Wilkins dwilkins@maths.tcd.ie ... Trinity College, Dublin

65. Transferring You To The Math Resource Pages A mathematics reference collection of K through 14 math tables, facts, definitions, formulas and explanations from general math through college calculus. http://www.hoxie.org/math/title.htm

Transferring you to the new math site location ... www.colbycc.org click here if you are not automatically transferred to the Math Pages http://www.colbycc.org/www/math/math.htm the Math Pages are now located at: http://www.colbycc.org/www/math/math.htm

66. The Calculus Of Logic The calculus of Logic. George Boole. Cambridge and Dublin Mathematical Journal Vol.III (1848), pp. 18398. Laws of Syllogism deduced from the Elective calculus. http://www.maths.tcd.ie/pub/HistMath/People/Boole/CalcLogic/CalcLogic.html

The Calculus of Logic George Boole Cambridge and Dublin Mathematical Journal Vol. III (1848), pp. 183-98 In a work lately published I have exhibited the application of a new and peculiar form of Mathematics to the expression of the operations of the mind in reasoning. In the present essay I design to offer such an account of a portion of this treatise as may furnish a correct view of the nature of the system developed. I shall endeavour to state distinctly those positions in which its characteristic distinctions consist, and shall offer a more particular illustration of some features which are less prominently displayed in the original work. The part of the system to which I shall confine my observations is that which treats of categorical propositions, and the positions which, under this limitation, I design to illustrate, are the following: (1) That the business of Logic is with the relations of classes, and with the modes in which the mind contemplates those relations. (2) That antecedently to our recognition of the existence of propositions, there are laws to which the conception of a class is subject, - laws which are dependent upon the constitution of the intellect, and which determine the character and form of the reasoning process. (3) That those laws are capable of mathematical expression, and that they thus constitute the basis of an interpretable calculus.

67. Calculus History The main ideas of calculus developed over a very long period of time. Read about some of the mathematicians who contributed to this field of mathematics. http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/The_rise_of_calculus.html

A history of the calculus Analysis index History Topics Index The main ideas which underpin the calculus developed over a very long period of time indeed. The first steps were taken by Greek mathematicians. To the Greeks numbers were ratios of integers so the number line had "holes" in it. They got round this difficulty by using lengths, areas and volumes in addition to numbers for, to the Greeks, not all lengths were numbers. Zeno of Elea , about 450 BC, gave a number of problems which were based on the infinite. For example he argued that motion is impossible:- If a body moves from A to B then before it reaches B it passes through the mid-point, say B of AB . Now to move to B it must first reach the mid-point B of AB . Continue this argument to see that A must move through an infinite number of distances and so cannot move. Leucippus Democritus and Antiphon all made contributions to the Greek method of exhaustion which was put on a scientific basis by Eudoxus about 370 BC. The method of exhaustion is so called because one thinks of the areas measured expanding so that they account for more and more of the required area.

68. THE CALCULUS PAGE PROBLEMS LIST THE calculus PAGE PROBLEMS LIST. Problems and Solutions Developed by DA Kouba.And brought to you by ecalculus.org. Beginning Differential calculus http://www.math.ucdavis.edu/~kouba/ProblemsList.html

THE CALCULUS PAGE PROBLEMS LIST Problems and Solutions Developed by : D. A. Kouba And brought to you by : eCalculus.org Beginning Differential Calculus : Problems on the limit of a function as x approaches a fixed constant limit of a function as x approaches plus or minus infinity limit of a function using the precise epsilon/delta definition of limit limit of a function using L'Hopital's Rule Problems on the continuity of a function of one variable Problems on the "Squeeze Principle" Problems on the limit definition of the derivative Problems on the chain rule Problems on the product rule Problems on the quotient rule Problems on differentiation of trigonometric functions Problems on differentiation of inverse trigonometric functions Problems on detailed graphing using first and second derivatives Problems on applied maxima and minima Problems on implicit differentiation Problems on related rates Problems on logarithmic differentiation Problems on the differential Problems on the Intermediate-Value Theorem Problems on the Mean Value Theorem Beginning Integral Calculus : Problems using summation notation Problems on the limit definition of a definite integral Problems on u-substitution Problems on integrating exponential functions Problems on integrating trigonometric functions Problems on integration by parts Problems on integrating certain rational functions, resulting in

69. On The Pi-Calculus And Linear Logic - Bellin, Scott (ResearchIndex) (CiteSeer) Article by Bellin and Scott showing how classical linear logic may be interpreted in the pi calculus, thus supporting Abramksy's `Proofs as Processes' thesis. http://citeseer.nj.nec.com/bellin92calculus.html

On the pi-Calculus and Linear Logic (1994) (Make Corrections) (4 citations) G. Bellin, P.J. Scott Theoretical Computer Science Home/Search Context Related View or download: profs.sci.univr.it/~be PICALCPAPER.ps Cached: PS.gz PS PDF DjVu ... Help From: profs.sci.univr.it/~bell papers (more) Homepages: G.Bellin P.Scott HPSearch (Update Links) Rate this article: (best) Comment on this article (Enter summary) Abstract: We detail Abramsky's "proofs-as-processes" paradigm for interpreting classical linear logic (CLL) [13] into a "synchronous" version of the -calculus recently proposed by Milner [27, 28]. The translation is given at the abstract level of proof structures. We give a detailed treatment of information flow in proof-nets and show how to mirror various evaluation strategies for proof normalization. We also give Soundness and Completeness results for the process-calculus translations of various... (Update) Context of citations to this paper: More called proof nets, and the dynamics of their normalization can be used to express some aspects of concurrency [Abramsky 1993, Bellin Scott 1992 , Lafont 1989, Lafont 1990] The Curry Howard Isomorphism also states that the types of programs can be seen as formulas, and the ...of) LL into stark relief.

70. THE CALCULUS PAGE THE calculus PAGE HAS A NEW ADDRESS ! See http//ecalculus.Org. http://www.math.ucdavis.edu/~kouba/CalculusPage.html

THE CALCULUS PAGE HAS A NEW ADDRESS ! See http://eCalculus.Org

71. Graphing Software For Data, Algebra, Calculus And Trigonometry And Solutions Of Enter first and second order nonlinear ordinary differential in analytical form. The program will generate a numerical solution to the equations and graph multiple curves on a single graph. Can also be used for algebra and calculus formulas. Includes illustrations and free demo. http://www.hanleyinnovations.com/sgstandard.html

Software Airfoil Analysis VisualFoil VisualFoil NACA VisualFoil Lite ... Lite Sailboat Sailing- Aerodynamics Graphing Tools Graph Paper Science Graphs Smocking SmockSoft Perpetual Paper Calculators The Center of Gravity Calculator. eBooks Aerodynamics in Plain English. Services Workshops Consulting Purchase OnLine Mail Order Contact Dr. P. Hanley Tel:(352) 687-4466 PO Box 831514 Ocala, FL 34483 Dr. Hanley's Science Graphs Written by Patrick Hanley, Ph.D. Version: 2.0 Standard Standard Price Download Size: 2.73 MB Requirements Windows 95, 98, NT or 2000 Download Now!: Purchase OnLine. Order Toll Free Mail Order: Order Form. Technical: E-mail or (352) 687-4466 Qwerks, Inc . Secure On-line Purchase. Dr. Hanley's Science Graphs tm is an easy to use software package for graphing equations and data using your PC. The new version of Science Graphs can be used to generate numerical solutions of first and second order non-linear ordinary differential equations. This feature is Ideal for checking your analytical solutions against Science Graph's Numerical Answers. However, it can be used to solve problems that are too difficult to obtain by hand calculations. The software is useful for algebra trigonometry calculus , physics, differential equations and engineering . Science Graphs can also be used to graph up to 1,000 x-y data points from an ASCII file.

72. Free Textbook Tensor Calculus And Continuum Mechanics Textbook by John H. Heinbockel. Whole book or chapters in PostScript and PDF.Category Science Math Publications Online Texts...... The finished work is titled INTRODUCTION TO TENSOR calculus and CONTINUUM MECHANICSIn Part One I have included introductory topics in tensors, differential http://www.math.odu.edu/~jhh/counter2.html

OLD DOMINION UNIVERSITY COLLEGE OF SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS The following counter indicates the number of visitors to this site since April 2001 Click on counter to see statistics John H. Heinbockel Professor Emeritus Department of Mathematics and Statistics Old Dominion University Norfolk, Virginia 23529 I have completed writing what I consider to be an introductory text for applied mathematicians, physicists and engineers. The finished work is titled INTRODUCTION TO TENSOR CALCULUS and CONTINUUM MECHANICS In Part One I have included introductory topics in tensors, differential geometry and relativity. In Part Two is presented basics from the areas of continuum mechanics (dynamics, elasticity, fluids, electricity, magnetism). The final section covers an introduction to quaternions, multivectors and Clifford algebra. You can purchase the final version of this project by Clicking Here Catalogue number is 01-0535. ISBN number is 1553691334 The free version below represents about 80% of the final version. From this free version you can see what you are getting.

73. Calculus Animations Click here. http://www.math.odu.edu/cbii/calcanim/

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74. Calculi For Mobile Processes Books. The Picalculus - A Theory of Mobile Processes (by Davide Sangiorgi and DavidWalker), June 2001. A pi-course introducing the -calculus, given at SICS. http://lamp.epfl.ch/mobility/

Calculi for Mobile Processes http://move.to/mobility (redirection service with advertising) ... the moose have retired ... You may quickly observe, what's or on this page, but a changelog of this page is also provided separately. Top [Intro] People Groups Instances Tools ... Miscellaneous Discussion Forum Moca Mo bile ca lculi) - A moderated mailing list on models for mobility Bibliographies The searchable bibliography , which is also available in two formats: bib and dvi Silvano Dal-Zilio 's commented bibilography on mobile processes Uwe Nestmann and 's note in the EATCS Bulletin 64 mainly advertizing the online resources. Kohei Honda 's selected bibliography on mobile processes, a useful personally commented reading guide to the area. Books The Pi-Calculus - A Theory of Mobile Processes (by Davide Sangiorgi and David Walker), June 2001. To appear. Communicating and Mobile Systems: the -Calculus , (by Robin Milner). Cambridge University Press, May 1999. Introductory Texts and Tutorials A Calculus for Mobile Processes (Parts I/II) (by Robin Milner, Joachim Parrow, and David Walker). Also available from this site: [ Part I Part II ] (Postscript) The Polyadic -Calculus: A Tutorial , (by Robin Milner). Also available from this site: [

75. Page Of Yves Lafont University of Marseille II Linear logic, lambda calculus, proof theory, term rewriting. Lafont invented the theory of interaction nets, an elegant theory of graph rewriting. http://iml.univ-mrs.fr/~lafont/welcome.html

Yves LAFONT professor at research at IML ) in the LDP group ( Logique de la programmation teaching at in the address : office : - phone : - fax : - e-mail : lafont@iml.univ-mrs.fr Research areas : proof theory and applications geometry of computation Papers Home page in french (with more information)

76. Pitt Distance Learning Program Internet calculus. UNIVERSITY OF PITTSBURGH. College in High School.This is the home Other calculus Links at Pitt. calculus Home Page The http://calculus.math.pitt.edu/~calcweb/

77. Lee Lady: Topics In Calculus A set of downloadable lectures. http://www.math.hawaii.edu/~lee/calculus/#Series-Sol

Topics in Calculus Professor Lee Lady University of Hawaii A Conceptual Approach to Applications of Integration Max-min Problems ... Review Problems for Differential Equations In my opinion, calculus is one of the major intellectual achievements of Western civilization - in fact of world civilization. Certainly it has had much more impact in shaping our world today than most of the works commonly included in a Western Civilization course books such as Descartes's Discourse on Method or The Prince by Machiavelli. But at most universities, we have taken this magnificent accomplishment of the human intellect and turned it into a boring course. Sawyer's little book What Is Calculus About? (Another book in the same vein, but more recent, is The Hitchhiker's Guide to Calculus by Michael Spivak.) For many of us mathematicians, calculus is far removed from what we see as interesting and important mathematics. It certainly has no obvious relevance to any of my own research, and if it weren't for the fact that I teach it, I would long ago have forgotten all the calculus I ever learned. But we should remember that calculus is not a mere ``service course.'' For students, calculus is the gateway to further mathematics. And aside from our obligation as faculty to make all our courses interesting, we should remember that if calculus doesn't seem like an interesting and worthwhile subject to students, then they are unlikely to see mathematics as an attractive subject to pursue further.

78. QuickMath Automatic Math Solutions QuickMath allows students to get instant solutions to all kinds of math problems,from algebra and equation solving right through to calculus and matrices. http://www.quickmath.com/www02/pages/modules/calculus/index.shtml

Algebra Expand Factor Simplify ... Determinant Graphs Equations Inequalities Numbers Percentages Scientific notation Please support QuickMath by making a donation. Calculus The calculus section of QuickMath allows you to differentiate and integrate almost any mathematical expression. What is calculus? Calculus is a vast topic, and it forms the basis for much of modern mathematics. The two branches of calculus are differential calculus and integral calculus. Differential calculus is the study of rates of change of functions. At school, you are introduced to differential calculus by learning how to find the derivative of a function in order to determine the slope of the graph of that function at any point. Integral calculus is often introduced in school in terms of finding primitive functions (indefinite integrals) and finding the area under a curve (definite integrals). Differentiate The differentiate command allows you to find the derivative of an expression with respect to any variable. In the advanced section, you also have the option of specifying arbitrary functional dependencies within your expression and finding higher order derivatives. The differentiate command knows all the rules of differential calculus, including the product rule, the quotient rule and the chain rule. Go to the Differentiate page Integrate The integrate command can be used to find either indefinite or definite integrals. If an indefinite integral (primitive function) is sought but cannot be found for a particular function, QuickMath will let you know. Definite integrals will always be given in their exact form when possible, but failing this QuickMath will use a numerical method to give you an approximate value.

79. Free Math Help Provides games, activities, lessons, calculators for students studying algebra, geometry, calculus, or trigonometry including a daily problem. http://www.freemathhelp.com/

80. UBC Calculus Online Homepage University of British Columbia course notes. Covers functions, derivatives and applications of derivative Category Science Math calculus......The UBC calculus Online Homepage. Welcome to UBC calculus Online.This site is an online supplement to Math 100, Sections 103, 104 http://www.ugrad.math.ubc.ca/coursedoc/math100/

The UBC Calculus Online Homepage Welcome to UBC Calculus Online. This site is an online supplement to Math 100, Sections 103, 104, 107 and 109, being taught within the University of British Columbia Department of Mathematics. Everyone is welcome and feedback is appreciated. Who We Are Course Notes Labs In class demonstrations Announcements Resources Links to some other interesting sites Please send us your comments.

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