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Pour les mathematiciens

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Free Math Books 

View our "FLASH" movie. 

Would you like to know everything about mathematics? 

Do you think that is impossible?  It isn't if you are willing to read and study many books.  You can't learn everything from class lectures.  The bulk of your mathematics learning will come from reading, working problems, and studying various books on your own.  And you can do this at your convenience.  Since there is no pressure, you can learn without stress.  You can learn mathematics by studying the web links and information on this web page and in the books in the following list.

VERY IMPORTANT!! Use you browser's "Find on this page" capability to search for words on a page.  
Usually Ctrl + F will work
.

Click >> HERE - To learn everything about math - from books!! 
Can't find what you need? Search Amazon.com 

Updated!  Calculators and Conversions Page

Mathematical  Statistics and Data Analysis

The-Science-Lab.com - Math
 


ROMAN NUMERALS
IVXLCDM
1510501005001000
Examples:      
IIIIIIIVVVIVII
1234567
VIIIIXXXIXIIXIIIXIV
891011121314
XVXVIXXXLIILVXCVIMDCI
1516204255961601

Rule:  1.  If no letter in front of a letter is of greater value, add the numbers represented by the letters.  Example.  XXX = 30;  VI = 6

Rule 2.  If a letter in front of a letter is of greater value, subtract the smaller form the larger; add the remainder or remainders obtained to the numbers represented by the other letters.  Example.  IV = 4;   XL = 40;   CXLV = 145

Now type in a number in the box below and press the translate button to see you number in Roman Numerals. (Note:  Don't hit enter, press the button.)

   

MUST HAVE!  TI-83 PlusBETTER!  TI-89BEST!  Voyage 200
     

Try a FUN math word mix game - free online now. http://www.studyworksonline.com/cda/content/applet/0,,NAV3-15_SAP884,00.shtml


MATH WWW LINKS PAGES 

The WWW links on this site will take you directly to the various web site pages.  Your browser URL address line will tell you the origin of the site.

MATH FOR ELEMENTARY SCHOOL KIDS http://www.teachrkids.com/

Elementary School Math  - 101science.com - WWW Links page.

                All About Arithmetic

                All About Fractions

                       
Reduce Fractions - Java http://www.mathepower.com/english/bruchkur.php
                                   Reduce Fractions with Excel http://www.mrexcel.com/tip039.shtml


                All About Percent and Ratios

                All About Measurements

                All About Equations

Equations - how to solve
Factors - essential basics
Graphs - basic essentials
Measurement - from mm to m³

                Mathmastery www.mathmastery.comwww.mathmastery.com

                Teach Kinds Math  http://www.teachrkids.com/

Algebra - 101science.com - WWW Links page.

Geometry - 101science.com - WWW Links page.

Trigonometry  - 101science.com - WWW Links page.

WHAT IS TRIGONOMETRY?  http://fergusmurray.members.beeb.net/trig.htm

Calculus - 101science.com - WWW Links page.

Laboratory Manual for Calculus (With Mathcad sheets.)

Probability and Statistics - 101science.com - WWW Links page.

Mathematical Ideas in Science - MATH - 7 Stones 

Explore Math http://www.exploremath.com/

Plus Math http://plus.maths.org/

Eclipses

Geometry Center: Triangle Tilings and Polyhedra

Geometry Formulas Geometry Formulas

Make-a-Fractal Make a Fractal

Math Software Downloads: http://www.numericalmathematics.com/numerical_solutions.htm

Math Software - Top 100 Programs - http://softbase.150m.com/top40.html

Algebra - basic essentials
Equations - how to solve
Factors - essential basics
Graphs - basic essentials
Measurement - from mm to m³
Percentage - helping you achieve 100%
Prime numbers - talk about odd!
Standard Form - scientifically speaking

Mathematics: A Human Endeavour:
A book for Those Who Think They Don't Like The Subject.

 


ADVANCED MATHEMATICS

College and advanced Math http://pirate.shu.edu/~wachsmut/index.html

Guide to Advanced Mathatical Principles http://www.superstringtheory.com/math/math3.html

LINEAR ALGEBRA - From MIT

MIT Linear Algebra home page: http://ocw.mit.edu/OcwWeb/Mathematics/18-06Spring-2005/CourseHome/index.htm


MATHEMATICS TUTORIALS  


ALGEBRA  GEOMETRY  TRIGONOMETRY  CALCULUS  STATISTICS 

 VERY IMPORTANT! Various algebraic equation forms for a straight line.
 VERY IMPORTANT! What is a FUNCTION? DOMAIN?  RANGE?  

Exponential and Logarithmic Functions
Derivatives of Logarithmic and Exponential Functions
Applications (solving word Problems) of Exponential and Logarithmic Functions
Algebra II: Exponential and Logarithmic Functions - Math for Morons Like Us
What's the difference between Log and Ln?
Comprehensive Math Resources by Subject

Pre-Algebra
http://free-ed.net/fr07/lfc/fc070101_01/fc070101_0101.htm
Pre-Algebra Tutorial from free-ed.net

Felecia's Algebra Tutorial: Pre-Algebra
Continuing Education Online Courses and Tutorials
Math For Morons Like Us
StudyWeb Table of Contents
The Math Forum - Math Library - Trigonometry
The Math Forum - Math Library - Ratio/Proportion
The Math Forum - Math Library - Pre-Calculus
The Math Forum - Math Library - Functions
The Math Forum - Math Library - Equations
Algebra Online!
Algebra Tutorial ( Comprehensive)
Another Calculus Tutor
Mathematics lessons.
Mathematics Lessons, Tutorials and Lecture Notes
http://archives.math.utk.edu/tutorials.html
Home Schooling LINK  http://homeschoolcentral.com/

Explore Math by ExploreMath.com

An Interactive Learning Experience

 

Experiment & Explore Mathematics

An interactive site to help you explore and gain deep understanding of
topics in mathematics. Online self tests and their answers are also
included in the site.

 

A Math Refresher
A short self-study course on algebra and trig, with history tidbits and some problems. Embedded in a larger course on astronomy, physics and space, it provides math tools used in the material and stresses intuitive understanding.

 

An Overview of Mathematics

Mathematics is the science of size, structure, order, and shapes, and other relationships among quantities.

 

Math in Daily Life

Whether you're sailing a boat off the coast of Japan or building a house in Peru, you're using math to get things done.

 

Understanding Algebra

A complete review of Basic Algebra

 

www.math.com

 

 


CALCULATORS - Web Based

Calculators

Calc98 a Free Downloadable Calculator  

Calc98, a free scientific, engineering, statistical and financial calculator for Windows and PocketPC.  Calc98 includes a vast range of units conversions, fundamental constants and physical property data, and other features including arbitrary base numbers, Roman numerals and a stopwatch feature and built-in Periodic Table of the Elements.

Also check out:

or,  try the quick scientific calculator below. 


     
      
         
     

  

   

Free JavaScripts provided
by The JavaScript Source

Online Graphic Algebra Calculators

Algebra Calculator for Solving for Two Unknowns

How about 9,330 calculators?   Click >> HERE

Go to the 101 Science calculator/conversion page.

Conversion Software Download

Texas Instruments calculators for sale

Our Pick:  
Texas Instruments TI89 Advanced Graphing Calculator
 
 
Or, try the TI-83 used in many high school and college math courses.

 
Texas Instruments TI83PLUS Graphing Calculator



 
 
 
 
 
 

Links to TI-83 Programs you can download to your calculator:
http://www.ticalc.org/pub/83/basic/math/

http://occ.awlonline.com/bookbind/pubbooks/lhs_collegealgebra/chapter5/custom5/deluxe-content.html
http://www.geocities.com/benahimvp/ti83index.html
http://www.ticalc.org/pub/83plus/
http://www.iserv.net/~gopat/
  (General Statistics)
http://www.ikevtiva.com/calc/83.htm
http://www.geocities.com/ti83programs/
http://www.richland.cc.il.us/james/ti82/algebra.html
http://academic.cuesta.cc.ca.us/mturner/ti83.htm
http://www.keycollege.com/workshopstatistics/vonoehse/ti83prgm.zipStatistics
http://gbowland.ucc.asn.au//gmb/ti83.html
http://academic.cuesta.cc.ca.us/mturner/ti83p.htm
http://www.hwscience.com/smarsden/ti.htm  Chemistry
http://members.aol.com/brettmg/ti83.html
http://silver.sdsmt.edu/~rwjohnso/Ggrant.htm  Statistics - CBL
http://mathworld.8m.com/calculator.html
http://dignified.dhs.org/ti_section.html
MORE......

 

Finding Mean and Standard Deviation with the TI-83

Mean and standard deviation on the TI-83
[PDF]Using the TI-83 to Find the Sample Mean and Sample Standard ...
TI-83 Instructions - Hypothesis Testing with one mean
TI
83 Instructions - Confidence Intervals for mean (small samples ...

[PDF]TI-83/83 Plus: Confidence Interval for One-Sample Mean with s ...
[PDF]TI-83/83 Plus: Hypothesis Testing for Two-Sample Mean with s ...
[PDF]Calculating Mean and Standard Deviation for a Sample with TI-83 Normal probabilities on the TI-83
SettleBasics
TI-83 Instructions


TI-92 Tutorial  Great!!


MATHCAD for Calculus

MathCad for Calculus

MathCad for Calculus II

Calculus Animations

Mathcad for Calculus II

[PDF] INTRODUCTION TO MATHCAD Differential Calculus

Multivariable Calculus, Linear Algebra and Differential Equations

Adept Scientific plc - The Technical Computing People

.

search mathcad.com


 


MATH GOODIES  >> Click HERE

 

The powers of 10. Click here  - No it isn't quite what you might think.


MULTIPLICATION TABLE 

1

2

3

4

5

6

7

8

9

10

2

4

6

8

10

12

14

16

18

20

3

6

9

12

15

18

21

24

27

30

4

8

12

16

20

24

28

32

36

40

5

10

15

20

25

30

35

40

45

50

6

12

18

24

30

36

42

48

54

60

7

14

21

28

35

42

49

56

63

70

8

16

24

32

40

48

56

64

72

80

9

18

27

36

45

54

63

72

81

90

10

20

30

40

50

60

70

80

90

100



METRIC SYSTEM - Mathematics for science starts with a need to understand the metric system.  The metric system is used throughout the world of science.  You will need to know the basic terminology and conversion factors.  To learn more about the metric system click >> HERE

Below is a table of the basic metric units, their powers of ten equivalents, prefix and symbol.

           TABLE OF METRIC UNITS - POWERS OF TEN

SamplePrefix Symbol
1 000 000 000 000 000 000 =118exaE
1 000 000 000 000  000 =1015petaP
1 000 000 000 000 =1012teraT
1 000 000 000 = 109 giga G
1 000 000 = 106 mega M
1 000 = 103 kilo k
100 = 102 *hecto h
10 = 101 *deka da
0.1 = 10-1 *deci d
0.01 = 10-2 *centi c
0.001 = 10-3 milli m
0.000 001 = 10-6 micro µ
0.000 000 001 = 10-9 nano n
0.000 000 000 001=10-12picop
0.000 000 000 000 001 =10-15femtof
0.000 000 000 000 000 001 =10-18attoa

                                                     
* avoid where possible

METRIC UNIT CONVERSIONS

>:: World Wide Metric ::<
Conversion of weights and measures, metric conversion online
Online Conversion - Convert just about anything to anything else
FP : Metric Conversion Tables : convert metric to imperial for
GourmetSleuth - Kitchen Conversion Calculator
Metric conversions . org - online conversion calculators 
Online metric conversion calculators - temperature, length
Automotive Converters and Calculators
Conversion calculators : metric to English and English to metric 
A Dictionary of Measures, Units and Conversions

Conversion of weights and measures, metric conversion online
Online Conversion - Convert just about anything to anything else
FP : Metric Conversion Tables : convert metric to imperial for 
Conversions - online metric converter - US customary & metric 
WSDOT - Metric Conversion Factors
Metric System
Unit Conversion - The Foot Rule
Measurement Units Conversion
Conversion of Units

Metric Lesson Plans

Measurement Lesson Plans
The Science Spot: Metric Mania Lessons
A Metric World--Mathematics lesson plan (grades 6-8
Lesson Plans - Chemistry
Metric Equivalents - An AskERIC Lesson Plan
Education World® : Lesson Planning Center : Lesson Plans : Olympic
Lesson Tutor: Metric Measures and Conversions lesson plan.
Metrics Math Lesson Plan, Thematic Unit, Activity, Worksheet, or
Metric Equivalents - An Educator's Reference Desk Lesson Plan

See our Calculations Page

To see how the metric system is used as it relates to chemistry click >> HERE

Powers of TEN quiz http://home.postnet.com/~rrichert/power10.htm

Measurement - from mm to m³


LAWS OF EXPONENTS - To multiply powers of the same base, add their exponents.
        Thus,         22 times 23 = 25       = 32
        PROOF:    22 = 4;  23 = 8;   25   
        Therefore;        4    x     8            =  32

        To divide powers of the same base, subtract the exponent of the divisor from the exponent of the dividend.  (The dividend is on top  /   divisor  is on the bottom)
        Thus,       35 /  33  =  32                        = 9
        PROOF:  35  = 243;  33  =   27;  32   
        Therefore;       243      /        27           =  9

(Note:  The above statement corrected 03/13/00 by the sharp eye and compliments of Jason Rana, Ouachita Baptist University.  We appreciate anyone who brings errors to our attention so we may correct them.)
Webmaster@ 101science.com


HANDY FORMULAS AND INFORMATION -  These should be memorized!

                (-a)n = an, if n is even
                (-a)n = -an, if n is odd
                am  *  an  =  am+n
               
an / am  =  an-m
               
(ab)=  anbn

                (a + b)2  =  a2  +  2ab   + b2
                (a -  b)2  =  a2  -  2ab  +  b2
                (a + b)(a - b)  =  a2  -  b2
                (a + b)3  =  a3  +  3a2b  +  3ab2  +b3

  
     
    
  
 


STATISTICS SECTION

 STATISTICS   

Little Handbook of Statistics http://www.tufts.edu/~gdallal/LHSP.HTM
Online Textbook explains statistics
http://davidmlane.com/hyperstat/index.html
Probability Tutorials - online
Electronic Statistics Book http://www.statsoft.com/textbook/stathome.html
Online Textbook http://davidmlane.com/hyperstat/index.html
Statistics Lab http://www.ruf.rice.edu/%7Elane/rvls.html

REGRESSION ANALYSIS

Introduction to Regression Analysis 
Multiple Regression
Regression Analysis
CORRELATION AND REGRESSION
[PDF] An Introduction to Regression Analysis
Regression analysis - Wikipedia, the free encyclopedia
Simple linear and multiple regression
PA 765: Multiple Regression
Statistical Analysis
Reliability and Regression Analysis
Statistical Analysis
Regression Analysis
WPI Global Perspective Program - Handbook for IQP Advisors and 
KaleidaGraph - scientific graphing, curve fitting, data analysis
Defense Procurement and Acquisition Policy - Contract Pricing
Parametric Cost Estimating Handbook - Regression Analysis
[PDF] Regression analysis
LINEAR REGRESSION

Java Applet to figure normal distribution statisics for you http://playfair.stanford.edu/~naras/jsm/FindProbability.html
http://www-stat.stanford.edu/~naras/jsm/example6.html
http://www-stat.stanford.edu/~naras/jsm/
http://www.symynet.com/educational_software/teaching_resources/Statistics/normal_distribution/intro.htm
http://www.adamssixsigma.com/Newsletters/standard_normal_table.htm
http://stat-www.berkeley.edu/~stark/SticiGui/index.htm

Applied Statistics Books

WEB PAGES THAT PERFORM STATISTICAL CALCULATIONS
Indiana University Statistics and Math Center

Fluid Dynamics and Statistical Physics

Statistical Data Resources

Geospatial and Statistical Data Center University of Virginia

CDC Injury Statistics

CDC Center for National Health Statistics

SSBR:  Health Statistics

Top 100 Applied Statistics Books for Sale
Mathematical  Statistics and Data Analysis
Mathematical  Statistics and Data Analysis
Statistics

Probability and Statistics - 101science.com - WWW Links page.

Statistics Links to TI-83 Programs you can download to your calculator:

http://www.iserv.net/~gopat/
  (General Statistics)
http://www.keycollege.com/workshopstatistics/vonoehse/ti83prgm.zipStatistics
http://silver.sdsmt.edu/~rwjohnso/Ggrant.htm  Statistics - CBL

Finding Mean and Standard Deviation with the TI-83

Mean and standard deviation on the TI-83
[PDF]Using the TI-83 to Find the Sample Mean and Sample Standard ...
TI-83 Instructions - Hypothesis Testing with one mean
TI
83 Instructions - Confidence Intervals for mean (small samples ...

[PDF]TI-83/83 Plus: Confidence Interval for One-Sample Mean with s ...
[PDF]TI-83/83 Plus: Hypothesis Testing for Two-Sample Mean with s ...
[PDF]Calculating Mean and Standard Deviation for a Sample with TI-83 Normal probabilities on the TI-83
SettleBasics
TI-83 Instructions

 


Adolphe Quetelet (1796 - 1874)

QUOTE:  "The more progress physical sciences make, the more they tend to enter the domain of mathematics, which is a kind of center to which they all converge. We may even judge the degree of perfection to which a science has arrived by the facility with which it may be submitted to calculation." Adolphe Quetelet
Quoted in E Mailly, Eulogy on Quetelet 1874

Adolphe Quetelet received his first doctorate in 1819 from Ghent for a dissertation on the theory of conic sections. After receiving this doctorate he taught mathematics in Brussels, then, in 1823, he went to Paris to study astronomy at the Observatory there. He learnt astronomy from Arago and Bouvard and the theory of probability under Joseph Fourier and Pierre Laplace.  Influenced by Laplace and Fourier, Quetelet was the first to use the normal curve other than as an error law. His studies of the numerical consistency of crimes stimulated wide discussion of free will versus social determinism. For his government he collected and analysed statistics on crime, mortality etc. and devised improvements in census taking. His work produced great controversy among social scientists of the 19th century.

At an observatory in Brussels that he established in 1833 at the request of the Belgian government, he worked on statistical, geophysical, and meteorological data, studied meteor showers and established methods for the comparison and evaluation of the data.

Article by: J J O'Connor and E F Robertson
Statistics

From Wikipedia, the free encyclopedia.
Find out how you can help support Wikipedia's phenomenal growth.

Statistics is a branch of applied mathematics which includes the planning, summarizing, and interpreting of uncertain observations. Because the aim of statistics is to produce the "best" information from available data, some authors make statistics a branch of decision theory. As a model of randomness or ignorance, probability theory plays a critical role in the development of statistical theory.

The word statistics comes from the modern Latin phrase statisticum collegium (lecture about state affairs), from which came the Italian word statista, which means "statesman" or "politician" (compare to status) and the German Statistik, originally designating the analysis of data about the state. It acquired the meaning of the collection and classification of data generally in the early nineteenth century.

We describe our knowledge (and ignorance) mathematically and attempt to learn more from whatever we can observe. This requires us to

  1. plan our observations to control their variability (experiment design),

  2. summarize a collection of observations to feature their commonality by suppressing details (descriptive statistics), and

  3. reach consensus about what the observations tell us about the world we observe (statistical inference).

In some forms of descriptive statistics, notably data mining, the second and third of these steps become so prominent that the first step (planning) appears to become less important. In these disciplines, data often are collected outside the control of the person doing the analysis, and the result of the analysis may be more an operational model than a consensus report about the world.

The probability of an event is often defined as a number between one and zero rather than a percentage. In reality however there is virtually nothing that has a probability of 1 or 0. You could say that the sun will certainly rise in the morning, but what if an extremely unlikely event destroys the sun? What if there is a nuclear war and the sky is covered in ash and smoke?

We often round the probability of such things up or down because they are so likely or unlikely to occur, that it's easier to recognise them as a probability of one or zero.

However, this can often lead to misunderstandings and dangerous behaviour, because people are unable to distinguish between, e.g., a probability of 10-4 and a probability of 10-9, despite the very practical difference between them. If you expect to cross the road about 105 or 106 times in your life, then reducing your risk per road crossing to 10-9 will make you safe for your whole life, while a risk per road crossing of 10-4 will make it very likely that you will have an accident, despite the intuitive feeling that 0.01% is a very small risk.

Some sciences use applied statistics so extensively that they have specialized terminology. These disciplines include:

Statistics form a key basis tool in business and manufacturing as well. It is used to understand measurement systems variability, control processes (as in "statistical process control" or SPC), for summarizing data, and to make data-driven decisions. In these roles it is a key tool, and perhaps the only reliable tool.

Links to observable statistical phenomena are collected at statistical phenomena

National Statistical Services

See also

Regression--analysis of variance (ANOVA) -- multivariate statistics -- extreme value theory -- list of statisticians -- list of statistical topics -- machine learning

External links


How do you solve a percentage increase question?

 - How do you calculate a percentage increase?  For example if your supply of apples increases from 206 to 814, what was the percentage increase?

We can see by subtracting 206 from 814 that the increase in the number of apples is 608.  Remember we started with 206, not zero.

Percentages are fractions.  Dividing 814 by 206 gives approximately 3.951 and since we started with one whole (100%) basket of 206 apples we must subtract one from this percentage number.  This is the step many people miss.  So, 3.951 minus 1 equals 2.951.  Multiplying this number by 100 to give percentage; 100 times 2.951 gives 295% increase as the answer.

- Check your work.  Does this answer look correct?  Well, if we had 200 apples increasing to 400 (double)  that would be a 100% increase.  So, increasing from 400 to 600 (another 200 apples) would be another 100% increase.  So, increasing from 600 to 800 (another 200 apples) would be another 100% increase.  So going from 200 to 800 represents an increase of 300%.  3 times our original amount of 200 equals 600 which is equal to the increase (800 minus 200 = 600).  So the answer to our problem should be close to 300%.  Our answer is 295% so it is close to what we would expect.  Now let's do an accurate check of our original problem.  206 times 2.95 equals 608 (the number of apples increased) which proves our answer is correct.  


Math Dictionaries

Math Dictionary:  http://www.blarg.net/~math/deflist.html

Definitions:  http://userzweb.lightspeed.net/~barr/def.html

Math Words:  http://www.geocities.com/poetsoutback/etyindex.html

Math Words for Middle Grades:  http://mathcentral.uregina.ca/RR/glossary/middle/

A VISUAL DICTIONARY OF SPECIAL PLANE CURVES - X. Lee For more information see Xah Lee's Home Page A VISUAL DICTIONARY OF SPECIAL PLANE CURVES - X. Lee Xah Lee's Home Page

Some Examples from over 60 tutorials include


Mathematics BOOK List (Large).  Click >> HERE!!

Order Calculus Made EAsy - Click HERE   Algebra The Easy Way - Click Here  

  Math Handbook of Tables and Formulas - Click HERE 

Schaum's Mathematical Handbook of Formulas and Tables
by Murray R. Spiegel, John M. Liu

Read what one reader thought of this book......

5 out of 5 stars You are crazy if you don't have this book!, July 11, 2000
A reviewer from Los Angeles said:
Great reference for formulas and identities that you have forgotten. Integral table is awsome. ......This is some of the best money I have ever spent. Used it all the time in my physics classes and ALWAYS carry it with me. How did I ever get on without it?

 


LEARN FROM VIDEOS!

The highly recommended "Standard Deviant" series of videos are designed for learning, training and teaching mathematics. Titles include; math, algebra, geometry, calculus, differential equations, statistics, and finance.