161. Lambda Calculus Introduction Lambda calculus provides the basis for Functional Programming languages. http://www.csse.monash.edu.au/~lloyd/tildeFP/Lambda/Ch/

Lambda Calculus LA home FP Lambda (code) Syntax Introduction Also see: PFL Prolog intro Semantics Introduction ... A Functional Programming Language Programming Techniques: Programming Techniques - Recursion Programming Techniques - Circular Programs Programming Techniques - Sieve The Parser ... Appendix - Misc' Routines Lambda Calculus Example Programs The toy Lambda Calculus interpreter can be run through the wwweb. You should read at least the sections down to and including Programming Techniques first. There are very tight limits set on the size and running time of programs that can be run in this way. window on the wide world: Linux free op' sys' OpenOffice free office suite, ver1.1.2 now available The GIMP free photoshop Comp'l Sci in the news report list cons nil the [ ] list null predicate hd head (1st) tl tail (rest) L. Allison http://www.csse.monash.edu.au/~lloyd/ (or as otherwise indicated), Clayton School of Information Technology (bldg#75), Monash University, Australia 3800 (6/'05 was School of Computer Science and Software Engineering, Monash University

162. 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 MultiElement Airfoils Wing Analysis ... MultiSurface Sailboat Sailing- Aerodynamics Graphing Tools Science Graphs eBooks Aerodynamics in Plain English. Services 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 or later Order by Calling: 1-352-687-4466 Buy Online: Buy CD Now Mail Order: Order Form. Technical: E-mail or (352) 687-4466 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.

163. StudyWorks! Online : Interactive Calculus Interactive calculus. The activities in this section will help you get a handson feel for some of the fundamental principles of calculus. http://www.studyworksonline.com/cda/explorations/main/0,,NAV2-62,00.html

Algebra Explorations Astronomy Biology Chemistry ... Sports Interactive Calculus The activities in this section will help you get a "hands-on" feel for some of the fundamental principles of calculus. Note: These activities are all based on Java applets which may take a few moments to download if you are connecting by modem. Please be patient. Derivatives of Cubic Functions Take a look at the plots of the derivatives of cubic functions. Limit (sin x)/x as x goes to 0 Evaluate the function: Limit (sin x)/x as x goes to 0. Rectangular Approximation Method Finding the area under a curve using the rectangular approximation method.

164. Table Of Contents These notes constitute a general, noncalculus introductory physics course. They are based on lectures given through the IUN/FYDE distance education program of the University of Winnipeg, which provides access to university level courses for communities outside of Winnipeg http://theory.uwinnipeg.ca/physics/index.html

IUN/FYDE Introductory Physics Notes These notes constitute a general, non-calculus introductory physics course. They are based on lectures given through the IUN/FYDE distance education program of the University of Winnipeg , which provides access to university level courses for communities outside of Winnipeg. The material covered comprises the introductory course Physics 1301 offered at the University. Table of Contents Introduction One Dimensional Motion Two Dimensional Motion Force ... Nuclear Physics This index can be searched by keywords Also available are some Java applets , by Sergey Kiselev and Tanya Yanovsky-Kiselev , illustrating some of these topics. Comments, corrections, and suggestions are welcome to any of the authors: Ian Burley Meg Carrington Randy Kobes Gabor Kunstatter This document was generated using the LaTeX HTML Nikos Drakos , Computer Based Learning Unit, University of Leeds. Up to the Theory Home Page

165. The Polyadic Pi-Calculus: A Tutorial The Polyadic picalculus A Tutorial. Robin Milner. Abstract The pi-calculus is a model of concurrent computation based upon the notion of naming. http://www.lfcs.inf.ed.ac.uk/reports/91/ECS-LFCS-91-180/

The Polyadic pi-Calculus: A Tutorial Robin Milner Abstract: The pi-calculus is a model of concurrent computation based upon the notion of naming . It is first presented in its simplest and original form, with the help of several illustrative applications. Then it is generalized from monadic to polyadic form. Semantics is done in terms of both a reduction system and a version of labelled transitions called commitment ; the known algebraic axiomatization of strong bisimilarity is given in the new setting, and so also is a characterization in modal logic. Some theorems about the replication operator are proved. Justification for the polyadic form is provided by the concept of sort sorting and sort discipline which it supports. Several illustrations of different sortings are given. One example is the presentation of data structures as processes which respect a particular sorting; another is the sorting for a known translation of the lambda-calculus in to pi-calculus. For this translation, the equational validity of beta-conversion is proved with the help of replication theorems. The paper ends with an extension of the pi-calculus to w -order processes, and a brief account of the demonstration by Davide Sangiorgi that higher-order processes may be faithfully encoded at first-order. This extends and strengthens the original result of this kind given by Bent Thomsen for second-order processes.

166. Math Notes Quick reference for basic algebra, trigonometry, geometry, calculus, and physics formulas. Includes online calculators. http://www.geocities.com/tvtronix/mathnotes/

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167. SpringerLink - Publication calculus REFORM PAGEcalculus from Graphical, Numerical, and Symbolic Points of View. This site discusses the calculus reform book written by A. Ostebee and P. Zorn at St. Olaf http://www.springerlink.com/openurl.asp?genre=journal&issn=0944-2669

168. MathServ Calculus ToolKit Online calculators for several calculus functions. http://math.vanderbilt.edu/~pscrooke/toolkit.shtml

The MathServ Calculus Toolkit A short introduction to the MathServ system can be found here Several tools are available to perform specialized calculations e.g. find the equation of the tangent line to the graph of a function at a particular point. Listed below are catagories for the various tools. Algebra Functions Graphing Applications of the Derivative ... Integrals The page was last revised on August 17, 2000.

169. Calculus - Content Standards (CA Dept Of Education) Grades Eight Through Twelve Mathematics Content Standards. http://www.cde.ca.gov/be/st/ss/mthcalculus.asp

Search Advanced Site Map A-Z Index Professional Development ... Printer-friendly version Calculus Grades Eight Through Twelve - Mathematics Content Standards. Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity: 1.1 Students prove and use theorems evaluating the limits of sums, products, quotients, and composition of functions. 1.2 Students use graphical calculators to verify and estimate limits. 1.3 Students prove and use special limits, such as the limits of (sin(x))/x and (1-cos(x))/x as x tends to 0. Students demonstrate knowledge of both the formal definition and the graphical interpretation of continuity of a function. Students demonstrate an understanding and the application of the intermediate value theorem and the extreme value theorem.

170. Department Website Shlomo Sternberg Advanced calculus by Shlomo Sternberg covers analysis on linear spaces and manifolds extending through introductory differential geometry. http://www.math.harvard.edu/people/SternbergShlomo.html

Search Math department: All people Senior faculty Junior faculty Visitors ... Staff Shlomo Sternberg Harvard University Department of Mathematics One Oxford Street Cambridge, MA 02138, USA Office: 510 Telephone: (617) 4951727 E-mail: @math.harvard.edu Online documents Theory of Functions of a real variable (2 Meg PDF) Advanced Calculus (58 Meg PDF) Dynamical systems (1 Meg PDF) Lie Algebras (900 K PDF) ... Semiriemannian Geometry (1 Meg PDF) These books are licensed under a Creative Commons License This is an automatically generated page by the Department of Mathematics, Faculty of Art and Sciences, Harvard University If you should have built your own webpage, to which the directory should link to, send an email with details to webmaster at math.

171. Multivariate Calculus, Problems Features problem sets for different topics. Includes a brief introduction to each topic. Uses pdf or dvi files. http://www.swarthmore.edu/NatSci/smaurer1/Math18H/multivarH.html

Problem Sets for Honors Multivariate Calculus It's hard to find satisfactory books for an honors multivariate calculus course. In particular, the problem sets may not cover just what you want. The problems may only ask for proof of more theorems, without first exercising the students in understanding the concepts and definitions. An honors course could have challenging computational problems as well as theory problems. Or there might not be enough theory problems. For whatever reasons, you may feel, as I did, that you need to provide extra problems. If any of the problem sets listed below fill you needs, you are welcome to use them. I used C. H. Edwards, Jr, Calculus of Vector Functions . Some of my additional problems I sent out by email, but others I made into handouts using Plain TeX. Below are brief descriptions of each handout. (Click on the title immediately below to go directly to the description). After each description you can click on a file name to download the handout. Most problems on these handouts are my creations, though occasionally they knowingly come from elsewhere (usually Buck's Advanced Calculus Message me to let me know ( smaurer1@swarthmore.edu

172. Why Study Calculus? A Brief History Of Math Explains, in everyday language, the developments in astronomy, math, and physics that contributed to the discovery of differential calculus and its relationship to area formulas. http://math.vanderbilt.edu/~schectex/courses/whystudy.html

Why Do We Study Calculus? or, a brief look at some of the history of mathematics an essay by Eric Schechter version of September 10, 1999 The question I am asked most often is, "why do we study this?" (or its variant, "will this be on the exam?"). Though some students will eventually use integrals and derivatives in their work in physics, chemistry, or economics, most will never use epsilons and deltas. Applied mathematicians may use a theorem such as "the limit of the product is the product of the limits"; we only need epsilons and deltas to prove such theorems. If the applied mathematician takes the attitude that "I trust the pure mathematicians who say they have proved this theorem," then the applied mathematician does not need to study epsilons and deltas at all. But calculus is not a just vocational training course. In part, students should study calculus for the same reasons that they study Darwin, Marx, Voltaire, or Dostoyevsky: These ideas are a basic part of our culture; these ideas have shaped how we perceive the world and how we perceive our place in the world. To understand how that is true of calculus, we must put calculus into a historical perspective; we must contrast the world before calculus with the world after calculus. (Probably we should put more history into our calculus courses. There is a growing movement among mathematics teachers to do precisely that.) The earliest mathematics was perhaps the arithmetic of commerce: If I am willing to trade 3 of my goats for one of your cows, how many goats will 4 cows cost me? The ancient Greeks did a great deal of clever thinking, but very few experiments; this led to some errors. For instance, Aristotle observed that a rock falls faster than a feather, and concluded that heavier objects fall faster than lighter objects. Aristotle's views persisted for centuries, until the discovery of air resistance.

173. Multivariable Calculus In The Lab Multivariable calculus in the Lab. A collection of Maple V R3 Worksheets. Used in Math 222 at Cornell, Fall 1994. Copyright Notice http://mathlab.cit.cornell.edu/local_maple/mvc/lecguide.html

Multivariable Calculus in the Lab A collection of Maple V R3 Worksheets Used in Math 222 at Cornell, Fall 1994 Some Maple Release 7 Versions (and Related) Worksheets are now available here This collection of worksheets was written for Maple V R3 on the Macs. It was a first time using these materials, so there are rough edges to be improved upon. The Mac interface to Maple is a very nice one, although significantly different from the Unix xmaple and Windows interfaces. In particular it supports the pasting of color pictures into worksheets. Also, these worksheets use multi-line input at times, and hence rely on the Mac option that only the enter key sends input to Maple. The worksheets can be accessed by any of: Table of Contents Worksheet Summaries Maple Command Index Download Entire Collection (as Math_222.sea.hqx) in Mac Format Table of Contents Using Maple: Mac Interface Intro 3D Plotting 2D Plotting Basic Maple ... Maple Data Structures Week 1: Surfaces 1 Week 2: Limits Week 3: Linear approximation Non Differentiable Surfaces Gradplot Examples Using Transform Plots ... (Transform Plots Package) Week 4: Curves Vector Identities Numerical Solution (Frenet Frame Display Package) Week 5: Flow Results (Draw Flows Package) Zero Div and Zero Curl Movie Zero Div and Nonzero Curl Movie Nonzero Div and Zero Curl Movie Nonzero Div and Curl Movie Week 6: Taylor Series Least Squares Quadrics and Eigenvalues Quadrics Worksheet Week 7: Implicit Function Example Lagrange Multipliers Lagrange Numerical Example Singular Inverses Week 8:

174. J. R. Hindley University of Wales, Swansea Lambda-calculus, combinatory logic and type-theory. http://www-maths.swan.ac.uk:80/staff/jrh/

J. R. Hindley, Reader M.Sc. Belfast 1961, Ph.D. Newcastle upon Tyne 1964, D.Sc. Belfast 1991. Email: J.R.Hindley@Swansea.ac.uk Telephone: +44 (0) 1792 205678 ext 4624 Fax: +44 (0) 1792 295843 Research interests Mathematical logic; particularly lambda-calculus, combinatory logic and type-theory. BOOKS PUBLISHED Combinatory Logic Vol. II, North-Holland Co., 1972 (with H. B. Curry, J. P. Seldin). Introduction to Combinatory Logic, Cambridge Univ. Press, 1972 (with B. Lercher, J. P. Seldin). To H. B. Curry, Academic Press, 1980 (edited, with J. Seldin). Introduction to Combinators and Lambda-calculus, Cambridge Univ. Press 1986 (with J. P. Seldin). Basic Simple Type Theory, Cambridge Univ. Press 1995. SELECTED PAPERS The principal type-scheme of an object in combinatory logic , Trans. American Math. Soc. Standard and normal reductions, Trans. American Math. Soc. Lambda-calculus models and extensionality, Zeit. Math. Logik (1980), 289-310 (with G. Longo). The completeness theorem for typing lambda terms, Theoretical Computer Sci.

175. Guided Readings In Elementary Quantum Mechanics Contains guided readings in Advanced Physical Chemistry and Theoretical Chemistry, specifically, Quantum Mechanics and Statistical Mechanics, with an emphasis on chemical applications. Notice that Guided Reading means what it says, you can not simply read the material contained in this site, you must answer questions about the material as you proceed. These notes allow persons to review/carry out the algebra and calculus for standard quantum mechanical problems. http://web.uconn.edu/~ch351vc/

Physical Chemistry 351 at the University of Connecticut This site contains readings in Advanced Physical Chemistry and Theoretical Chemistry, specifically, Quantum Mechanics and Statistical Mechanics, with an emphasis on chemical applications. Notice that Guided Reading means what it says, you can not simply read the material contained in this site, you must answer questions about the material as you proceed. Be forewarned that I monitor your reading progress. To use the site, please sign in (below). This is optional, but appreciated. Note, Guests are Welcome sign in HERE! Click HERE to use these materials. This will take you to the perl program which runs the various modules. http://web.uconn.edu/~ch351vc This is the main site for Chemistry 351, Quantum Chemistry. We will start with reading the section concerning Fourier Series, with which we will start the course. Our path through this material starts with function spaces, hence the Fourier Series introduction, and then proceeds on to the five standard problems in QM, Particle in a Box, Harmonic Oscillator, Rigid Rotor, H-atom, and H . During that time, we also consider angular momentum in some depth.

176. Topics In Integral And Differential Calculus An explanation and demonstration of the differential formulas, including an applet. http://www.ma.utexas.edu/users/kawasaki/mathPages.dir/index.html

Portuguese Version: Acknowledgements: Prof. William F. Schelter Prof. Maorong Zou Sharewares used in these Pages: Several TCL Scripts written by Prof. W.F.Schelter mhtml by W.F. Schelter. This application produces Mathematics text in GIF format. lundin.SymbolicMath class library by Patrik Lundin. Interpreter for symbolic manipulation of mathematical expressions by Jens- Uwe Dolinsky. GIFs on the FLY Several Java applications written by the author. WebEQ 2.0HTML Mathematical Markup VRL's IMAGING MACHINE Java Packages JDK 1.1.4 Documentation ... Sun Microsystems Lab Comments? Suggestions? Write to: Teresinha Fumi Kawasaki Back to: UT Mathematics Department University of Texas at Austin Home This page has been visited times since February 16, 1998. Last modified:Nov 22, 2002 Topics in Integral and Differential Calculus: Functions: Introduction to Functions Polynomial Functions Rational Functions Trigonometric Functions Exercises Combinations of Functions Limits and Continuity: Limit of a Function Some Theorems on Limits Continuity Limits of Trigonometric Functions Differentiation: The Derivative Some Differentiating Trigonometric Functions Differentials; Newton-Raphson Approximations

177. S.O.S. Math Contains tutorials covering algebra, geometry, calculus, differential equations, matrices, and complex variables. Reviews the most important results, techniques and formulas. Presented in worksheet format and require active participation. Includes practice quizzes and forum board. http://www.sosmath.com/

Algebra Trigonometry Calculus Differential Equations ... CyberBoard Search our site! S.O.S. Math on CD Sale! Only $19.95. Works for PCs, Macs and Linux. Tell a Friend about S.O.S. Books We Like Math Sites on the WWW S.O.S. Math Awards ... Privacy Concerns? var version = 1.0; var version = 1.1; var version = 1.2; var version = 1.3; S.O.S. MATHematics is your free resource for math review material from Algebra to Differential Equations! The perfect study site for high school, college students and adult learners. Get help to do your homework, refresh your memory, prepare for a test, .... Browse our more than 2,500 Math pages filled with short and easy-to-understand explanations - from simplifying fractions to the cubic formula , from the quadratic equation to Fourier series , from the sine function to systems of differential equations - this is the one stop site for your math needs. You want more? Check out our CyberExams to prepare for a test, or ask a question on our popular CyberBoard ! You can buy a personal copy of our site on CD, or browse our recommended book list Contact us Math Medics, LLC. - P.O. Box 12395 - El Paso TX 79913 - USA

178. Information Of Products Information of Products. http://www.ies.co.jp/math/java/calc/

Information of Products Information of Products

179. Limits Limits. Derivatives. Integrals. http://www.ies.co.jp/math/products/calc/menu.html

Limits Derivatives Integrals

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