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         Calculus:     more books (100)
  1. The Complete Idiot's Guide to Calculus, 2nd Edition by W. Michael Kelley, 2006-06-27
  2. Pre-Calculus Demystified by Rhonda Huettenmueller, 2005-01-14
  3. Calculus II For Dummies by Mark Zegarelli, 2008-06-03
  4. Student Solutions Manual for Stewart's Multivariable Calculus, 6th Edition by Dan Clegg, Barbara Frank, 2007-08-06
  5. Calculus of a Single Variable by Ron Larson, Bruce H. Edwards, 2008-11-10
  6. Calculus (Stewart's Calculus Series) by James Stewart, 2007-06-11
  7. Calculus, 4th edition by Michael Spivak, 2008-07-09
  8. Calculus of Variations by I. M. Gelfand, S. V. Fomin, 2000-10-16
  9. Calculus: An Intuitive and Physical Approach (Second Edition) by Morris Kline, 1998-06-19
  10. Pre-Calculus For Dummies by Krystle Rose Forseth, Christopher Burger, et all 2008-04-07
  11. Student Solutions Manual, Single Variable, for Thomas' Calculus: Early Transcendentals by George B. Thomas, Maurice D. Weir, et all 2010-05-13
  12. Student Study Guide, Volume 1 for Larson/Hostetler/Edwards' Calculus: Early Transcendental Functions, 4th by Ron Larson, Robert P. Hostetler, et all 2006-05-03
  13. Stochastic Calculus for Finance I: The Binomial Asset Pricing Model (Springer Finance) (Volume 0) by Steven E. Shreve, 2005-06-28
  14. How to Ace the Rest of Calculus: The Streetwise Guide, Including Multi-Variable Calculus by Colin Adams, Abigail Thompson, et all 2001-05-01

21. Fractional Calculus -- From Wolfram MathWorld
Defines the fractional integral in terms of the gamma function and contains links to information on fractional derivatives.
http://mathworld.wolfram.com/FractionalCalculus.html
Algebra
Applied Mathematics

Calculus and Analysis

Discrete Mathematics
... Fractional Calculus
Fractional Calculus The study of an extension of derivatives and integrals to noninteger orders. Fractional calculus is based on the definition of the fractional integral as where is the gamma function . From this equation, fractional derivatives can also be defined. SEE ALSO: Derivative Fractional Derivative Fractional Differential Equation Fractional Integral ... Riemann-Liouville Operator REFERENCES: Butzer, P. L. and Westphal, U. "An Introduction to Fractional Calculus." Ch. 1 in Applications of Fractional Calculus in Physics (Ed. R. Hilfer). Singapore: World Scientific, pp. 1-85, 2000. Kilbas, A. A.; Srivastava, H. M.; and Trujiilo, J. J. Theory and Applications of Fractional Differential Equations. Amsterdam, Netherlands: Elsevier, 2006. McBride, A. C. Fractional Calculus. New York: Halsted Press, 1986. Nishimoto, K. Fractional Calculus. New Haven, CT: University of New Haven Press, 1989. Samko, S. G.; Kilbas, A. A.; and Marichev, O. I. Fractional Integrals and Derivatives.

22. Calculus - Simple English Wikipedia, The Free Encyclopedia
calculus is a branch of mathematics which looks at things that change over time. It tries to say what type of change it is and how big it is using functions at the exact moment
http://simple.wikipedia.org/wiki/Calculus
Calculus
From Wikipedia, the free encyclopedia Jump to: navigation search This page or section does not have any sources . You can help Wikipedia by finding sources, and adding them. Tagged since September 2009 Calculus is a branch of mathematics which looks at things that change over time. It tries to say what type of change it is and how big it is using functions at the exact moment at which the change is taking place. There are two different types of calculus. Differential calculus divides things into small ( different ) pieces and tells us how they change from one moment to the next, while integral calculus joins ( integrates ) the small pieces together and tells us how much of something is made by a change. It is used in many different fields such as physics astronomy biology engineering ... medicine and sociology The word Calculus is derived from the Latin for "small stone".
Contents
change History
In the 1670s and 1680s, Sir Isaac Newton in England and Gottfried Leibniz in Germany figured out calculus at the same time, working separately from each other. Newton wanted to make new math to predict where to see

23. Multivariable Calculus
Textbook by George Cain and James Herod. Chapters in PDF.
http://www.math.gatech.edu/~cain/notes/calculus.html
Multivariable Calculus
George Cain James Herod
This is a textbook for a course in multivariable calculus. It has been used for the past few years here at Georgia Tech. The notes are available as Adobe Acrobat documents. If you do not have an Adobe Acrobat Reader, you may down-load a copy, free of charge, from Adobe
Title page and Table of Contents
Table of Contents
Chapter One - Euclidean Three Space
1.1 Introduction
1.2 Coordinates in Three-Space
1.3 Some Geometry
1.4 Some More GeometryLevel Sets Chapter Two - VectorsAlgebra and Geometry
2.1 Vectors
2.2 Scalar Product
2.3 Vector Product
Chapter Three
- Vector Functions
3.1 Relations and Functions 3.2 Vector Functions 3.3 Limits and Continuity Chapter Four - Derivatives 4.1 Derivatives 4.2 Geometry of Space CurvesCurvature 4.3 Geometry of Space CurvesTorsion 4.4 Motion Chapter Five - More Dimensions 5.1 The space R n 5.2 Functions Chapter Six - Linear Functions and Matrices 6.1 Matrices 6.2 Matrix Algebra Chapter Seven - Continuity, Derivatives, and All That 7.1 Limits and Continuity

24. Calculus - A To Z Home's Cool Homeschooling Math
calculus made easy through online games for young homeschoolers. Links from your Homeschooling Guide
http://homeschooling.gomilpitas.com/explore/calculus.htm
YOU ARE HERE: HOMESCHOOLING EXPLORATIONS 4 KIDS MATH
Earn your certificate from the comfort of your own computer.
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Explorations 4 Kids I am Ann Zeise , your guide to the best and most interesting and useful sites and articles about home education on the web. Homeschooling New Kids Links New Kids Links Contact Ann Zeise ... Curriculum Shopping
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Calculus
AP Calculus
We have selected relevant material from MIT's introductory courses to support students as they study and educators as they teach the AP Calculus curriculum. Calculus Graphics
These are excerpts from a collection of graphical demonstrations I developed for first year calculus.

25. Fractional Calculus
Provides the Riemann-Liouville definition of the fractional integral, a definition of fractional derivatives, and a list of applications of the calculus.
http://people.tuke.sk/ivo.petras/FC.html
Fractional Calculus
(differentiation and integration of arbitrary non-integer order)
Key words: fractional calculus fractional integral fractional derivatives fractional differential equations 1. Introduction The term fractional calculus is no new. It is a generalization of the ordinary differentiation and integration to non-integer (arbitrary) order. The subject is as old as the calculus of differentiation and goes back to times when Leibniz Gauss , and Newton invented this kind of calculation. In a letter to L`Hospital in 1695 Leibniz raised the following question: "Can the meaning of derivatives with integer order be generalized to derivatives with non-integer orders?" The story goes that L`Hospital was somewhat curious about that question and replied by another question to Leibniz. "What if the order will be 1/2?" Leibniz in a letter dated September 30, 1695 replied: The translation reads: "It will lead to a paradox, from which one day useful consequences will be drawn." The question raised by Leibniz for a fractional derivative was an ongoing topic in the last 300 years. Several mathematicians contributed to this subject over the years. People like Liouville Riemann , and Weyl made major contributions to the theory of fractional calculus. The story on the fractional calculus continued with contributions from

26. Integral - Wikipedia, The Free Encyclopedia
Integration is an important concept in mathematics and, together with differentiation, is one of the two main operations in calculus. Given a function ƒ of a real variable x and an
http://en.wikipedia.org/wiki/Integral_calculus
Integral
From Wikipedia, the free encyclopedia   (Redirected from Integral calculus Jump to: navigation search This article is about the concept of integrals in calculus . For the set of numbers, see integer . For other uses, see Integral (disambiguation) A definite integral of a function can be represented as the signed area of the region bounded by its graph. Topics in Calculus Fundamental theorem
Limits of functions

Continuity
...
Identities

Rules:
Power rule
Product rule Quotient rule Chain rule ... Integral calculus Integral
Lists of integrals

Improper integrals

Integration by:
parts
disks cylindrical
shells
... Jacobian Integration is an important concept in mathematics and, together with differentiation , is one of the two main operations in calculus . Given a function of a real variable x and an interval a b ] of the real line , the definite integral is defined informally to be the net signed area of the region in the xy -plane bounded by the graph of , the x -axis, and the vertical lines x a and x b The term integral may also refer to the notion of antiderivative , a function F whose derivative is the given function . In this case, it is called an

27. Calculus Help | Homeschool Online Lessons
Get calculus help via online videos. Create your homeschool curriculum using homeschool online lessons. calculus online video courses will make your home school a success.
http://www.thinkwell.com/homeschool/product/calculus

28. Applications Of Fractional Calculus
Provides information of the practical uses of the calculus.
http://www.icp.uni-stuttgart.de/Jahresberichte/01/node66.html
Next: Fractional Dynamics in the Up: Scientific Report Previous: The Broad Histogram Method: Contents
Applications of Fractional Calculus
The idea of generalizing the concepts of differentiation and integration to noninteger (fractional) orders has a long mathematical history. In mathematics one learns very early that the -th derivative of is for . It is little known, however, that this rule can be naturally generalized to noninteger orders such that for arbitrary real (and complex) . Over the centuries many mathematicians have built up a large body of mathematical knowledge on fractional integrals and derivatives. Although fractional calculus is a natural generalization of calculus, and although its mathematical history is equally long, it has, until recently, played a negligible role in physics. This situation is beginning to change and there has been some interest in Applications of Fractional Calculus in Physics. Our Institute has published a book concerning this topic which was well received by the scientific public (see section Many applications of fractional calculus in physics amount to replacing the time derivative in an evolution equation with a derivative of fractional order. This is not merely a phenomenological procedure providing an additional fit parameter. Rather fractional derivatives seem to arise generally and universally, and for deep mathematical reasons. One central result of the work at our institute has been the fact that fractional derivatives arise as the infinitesimal generators of a class of translation invariant convolution semigroups. These semigroups appear universally as attractors for coarse graining procedures or scale changes. They are parametrized by a number in the unit interval corresponding to the order of the fractional derivative. Ongoing work concentrates on applications of fractional time evolutions in particular to diffusion phenomena and glassy relaxation.

29. Math.com Homework Help Calculus
Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to
http://www.math.com/homeworkhelp/Calculus.html

30. Calculus | Define Calculus At Dictionary.com
, lus es. 1. Mathematics . a method of calculation, esp. one of several highly systematic methods of treating problems by a special system of algebraic notations, as
http://dictionary.reference.com/browse/Calculus

31. Newton Vs. Leibniz; The Calculus Controversy
Newton vs. Leibniz; The calculus Controversy Like most discoveries, calculus was the culmination of centuries of work rather than an instant epiphany.
http://www.angelfire.com/md/byme/mathsample.html
Newton vs. Leibniz; The Calculus Controversy
Like most discoveries, calculus was the culmination of centuries of work rather than an instant epiphany. Mathematicians all over the world contributed to its development, but the two most recognized discoverers of calculus are Isaac Newton and Gottfried Wilhelm Leibniz. Although the credit is currently given to both men, there was a time when the debate over which of them truly deserved the recognition was both heated and widespread.
As the renowned author of Principia (1687) as well as a host of equally esteemed published works, it appears that Newton not only went much further in exploring the applications of calculus than Leibniz did, but he also ventured down a different road. Leibniz and Newton had very different views of calculus in that Newtons was based on limits and concrete reality, while Leibniz focused more on the infinite and the abstract (Struik, 1948). However, regardless of the divergent paths these two scholars chose to venture down, the question of who took the first step remained the primary issue of debate.
Unaware that Newton was reported to have discovered similar methods, Leibniz discovered his calculus in Paris between 1673 and 1676 (Ball, 1908). By 1676, Leibniz realized that he was onto something big; he just didnt realize that Newton was on to the same big discovery because Newton was remaining somewhat tight lipped about his breakthroughs. In fact, it was actually the delayed publication of Newtons findings that caused the entire controversy. Leibniz published the first account of differential calculus in 1684 and then published the explanation of integral calculus in 1686 (Boyer, 1968).

32. CVGMT:
Preprints on various topics on the calculus of variations.
http://cvgmt.sns.it/
Home People News Preprints ... Help
Welcome to the HomePage of the Research Group in Calculus of Variations and Geometric Measure Theory at Pisa. Look here to know more about us. Please, feel free to download and use all the material you find interesting. If you want to receive regularly the group news, subscribe to our mailing list in the Mail section. Registered users can:

33. Math Forum: Calculus
The best Internet resources for calculus classroom materials, software, Internet projects, and public forums for discussion.
http://mathforum.org/calculus/
Calculus
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Advanced Topics analysis calculus diff. equations game theory discrete math geometry (coll.) geometry (adv.) linear algebra modern algebra num. analysis
Internet Calculus Resources
See also Single-variable Calculus and Multi-variable Calculus in the Math Forum's Internet Mathematics Library.
Home The Math Library Quick Reference Search ... Help http://mathforum.org/ The Math Forum is a research and educational enterprise of the Goodwin College of Professional Studies

34. Mathematics Archives - Topics In Mathematics - Calculus
calculus Resources OnLine ADD. KEYWORDS Initiatives, Projects and Programs, Articles, Posters, Discussions, Software, Publisher sites, Other listings of calculus
http://archives.math.utk.edu/topics/calculus.html
Topics in Mathematics Calculus

35. 49: Calculus Of Variations And Optimal Control; Optimization
calculus of variations and optimal control. Optimization.
http://www.math.niu.edu/~rusin/known-math/index/49-XX.html
Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields
POINTERS: Texts Software Web links Selected topics here
49: Calculus of variations and optimal control; optimization
Introduction
Calculus of variations and optimization seek functions or geometric objects which are optimize some objective function. Certainly this includes a discussion of techniques to find the optima, such as successive approximations or linear programming. In addition, there is quite a lot of work establishing the existence of optima and characterizing them. In many cases, optimal functions or curves can be expressed as solutions to differential equations. Common applications include seeking curves and surfaces which are minimal in some sense. However, the spaces on which the analysis are done may represent configurations of some physical system, say, so that this field also applies to optimization problems in economics or control theory for example.
History
Applications and related fields
See also (for numerical optimization)

36. Pauls Online Notes : Calculus I
Here are my online notes for my calculus I course that I teach here at Lamar University. Despite the fact that these are my class notes, they should be
http://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx
MPBodyInit('CalcI_files') Paul's Online Math Notes Online Notes / Calculus I
You can navigate through this E-Book using the menu to the left. For E-Books that have a Chapter/Section organization each option in the menu to the left indicates a chapter and will open a menu showing the sections in that chapter. Alternatively, you can navigate to the next/previous section or chapter by clicking the links in the boxes at the very top and bottom of the material.
Also, depending upon the E-Book, it will be possible to download the complete E-Book, the chapter containing the current section and/or the current section. You can do this be clicking on the E-Book Chapter , and/or the Section link provided below.
For those pages with mathematics on them you can, in most cases, enlarge the mathematics portion by clicking on the equation. Click the enlarged version to hide it. E-Book Review Calculus I (Math 2413) Here are my online notes for my Calculus I course that I teach here at Lamar University.  Despite the fact that these are my “class notes”, they should be accessible to anyone wanting to learn Calculus I or needing a refresher in some of the early topics in calculus.  I’ve tried to make these notes as self contained as possible and so all the information needed to read through them is either from an Algebra or Trig class or contained in other sections of the notes.

37. E-Calculus Home Page
A basic calculus tutorial covering limits, derivatives, and integrals in PDF format.
http://www.math.uakron.edu/~dpstory/e-calculus.html
A Note on the Retirement of D. P. Story Last Update: 5/01/2006 While the navigation system is out of order, here is a list of direct links to the tutorial files. Root Directory Calculus 1 Directory Functions Limits Continuity Differentiation Integration What's New Get the Latest version of
Acrobat Reader 5.0. Click on the Get Acrobat Icon above to go to the download area. e-Calculus is a Calculus I tutorial written in TeX and converted to the Adobe Portable Document Format (PDF). Features include verbose discussion of topics , typeset quality mathematics, user interactivity in the form of multiple choice quizzes, in-line examples and exercises with complete solutions, and pop-up graphics. If you are a first time user, be sure to check out the section entitled Important Components and the section Important Information directly below it before you start e-Calculus e-Calculus is viewed in the PDF format. This requires that you have

38. Calculus Online Book
A free, complete 360 page book covering all the basics of calculus.
http://www.understandingcalculus.com/
Understanding Calculus
Home Testimonials Table of Contents Preface ... Share page with friends Your Name: Friend Emails: Your Email - optional:
Understanding Calculus
Understanding Calculus is a complete online introductory book that focuses on concepts. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving. The book has as much to do with calculus as with philosophy. My motivation in writing it was to prove to myself that I could understand a complex subject like calculus by applying simple rules of logic and reason. As Henry Ford said, " Nothing is particularly hard if you divide it into small jobs ". I have now forgotten a lot of the calculus, but what remains is that sense that anything can be understood. Too much of the world is complicated by layers of evolution. If you understand how each layer is put down then you can begin to understand the complex systems that govern our world. Charles Darwin wrote in 1859 in his On The Origin of Species " When we no longer look at an organic being as a savage looks at a ship, as at something wholly beyond his comprehension; when we regard every production of nature as one which had a history; when we contemplate every complex structure and instinct as the summing up of many contrivances, each useful to the possessor, nearly in the same as when we look at any great mechanical invention as the summing of the labour, the experience, the reason, and even the blunders of numerous workmen; when we thus view each organic being, how far more interesting, I speak from experience, will the study of natural history become! "

39. Connected Calculus
An applied calculus tutorial covering topics such as curve fitting, series, and optimization.
http://www.math.montana.edu/frankw/ccp/calculus/topic.htm
The Connected Curriculum Project
Contents
Models, Data, and Curve Fitting A Guide to this Chapter.
  • The Mean and the Median
  • Linear Models
  • Linear Regression
  • Quadratic Models
  • Exponential Models
  • Logistic Models
  • Periodic Models
  • Contents
Estimation and Limits A Guide to this Chapter. Sequences and Discrete Dynamical Systems A Guide to this Chapter.

40. Some Multivariable Calculus Ideas
Various calculus problems are solved and plotted on a 3D graph.
http://www.ma.iup.edu/MathDept/Projects/CalcDEMma/veccalc/veccalc.html
Some Multivariable Calculus Ideas
This is an evaluated Mathematica notebook. Since the notebook is intended to be interactive, it may be helpful to also view the unevaluated version

Gary S. Stoudt
Mathematics Department
Indiana University of PA
Indiana, PA 15705
GSSTOUDT@grove.iup.edu
Functions to Initialize
Purpose
Parametric Curves
Vector Functions and Curves ...
Line Integrals
Go up to Calculus and Differential Equations Project Description

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