## mathematics

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The Map of Mathematics

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

#mathematics #DomainOfScience

If you would like to buy a poster of this map, they are available here:

North America: https://store.dftba.com/products/map-of-mathematics-poster

Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics

French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u

Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u

I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/

To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!

1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).

2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.

3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.

4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it:

5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.

Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience

Here are links to some of the sources I used in this video.

Links:

Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics

Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html

First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html

First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers

Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance

History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics

Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number

and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof

Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.

Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/

Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/

Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/

Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/

Find me on twitter, instagram, and my website:

http://dominicwalliman.com

https://twitter.com/DominicWalliman

https://www.instagram.com/dominicwalliman

https://www.facebook.com/dominicwalliman

Math Videos: How To Learn Basic Arithmetic Fast - Online Tutorial Lessons

This online math video tutorial /lecture shows you how to learn basic arithmetic fast and easy. It contains plenty of examples and practice problems including drill quizzes to help you boost your math skills to the next level. Whether you're high school, college or an adult who wants to learn math, this video is for you.

Need Help With Difficult Homework Problems?

https://bit.ly/Find-A-Tutor

Basic Math Review Books:

https://amzn.to/2ZQmTg2

My Website: https://www.video-tutor.net

Patreon: https://www.patreon.com/MathScienceTutor

Algebra Video Playlist:

https://www.youtube.com/watch?v=i6sbjtJjJ-A\u0026list=PL0o_zxa4K1BWKL_6lYRmEaXY6OgZWGE8G\u0026index=1\u0026t=13129s

Here is a list topics:

1. How To Add and Subtract Real Numbers Using a Number Line

2. How To Add Negative Numbers

3. How To Perform Simple Addition and Subtraction By Hand

4. How To Multiply Two Numbers In Your Head – Mental Math

5. Basic Arithmetic Operations – Multiplication and Long Division

6. How To Add, Subtract, Multiply and Divide Fractions

7. How To Convert Improper Fractions Into Mixed Numbers

8. How To Subtract By Borrowing a 1 Method

9. Division of Fractions – Keep Change Flip Principle

10. How To Convert Fractions To Decimals Mentally and Using Long Division

11. How To Divide Two Numbers Using Reverse Multiplication

12. How To Convert Percent Into Decimal

13. How To Find The Percentage of a Number

14. How To Calculate Original and Final Price Using Sales Tax

15. How To Do Simple Multiplication By Using Money as an Illustration

16. Order of Operations Review – PEMDAS

17. How To Simplify Negative and Zero Exponents

18. How To Evaluate Numbers With Fractional Exponents

19. How To Evaluate Logarithms Especially Logs With Fractions

20. How To Find Square Root of a Number

21. Square of Negative Numbers – Imaginary Number i

22. How To Simplify Radical Expressions – Square \u0026 Cube Roots Using Perfect Squares \u0026 Cubes

23. How To Add and Subtract Radical Expressions

24. How To Convert Scientific Notation to Standard or Decimal

25. How To Multiply and Divide Numbers In Scientific Notation

26. How To Square Root of a Number In Scientific Notation

27. How To Factor Trinomials By Grouping

28. GCF – Greatest Common Factor

29. How To Solve Equations By Factoring – Difference of Perfect Squares Method

30. How To use The Quadratic Formula To Solve Equations

31. How To Solve Linear Equations Containing Decimals, Fractions, and Parentheses

32. How To Graph Linear and Quadratic Equations

33. How To Write The Equation of Line in Point Slope Form and Slope Intercept Form

34. How To Calculate The Slope of a Line Given Two Points

35. How To Graph Parabolic, Quadratic, Cubic, Absolute Value, Rational, and Radical Equations Using Transformations

36. Domain and Range For Quadratic Functions

37. How To Identify The Minimum and Maximum Point of a Quadratic Equation

38. How To Identify The Vertex and Axis of Symmetry of a Quadratic Equation

39. Reflection about the x axis, y axis, and the origin

40. Horizontal and vertical shifts.

41. Parent Functions of Exponential and Logarithmic Graphs and Equations

X CLASS MATHEMATICS SIMILAR TRIANGLES - 3

REVISION CLASSES SSC 2020-21 : https://youtube.com/playlist?list=PLO4AH4RMd9Srn8sOpL8tAvQR2StT4En5y

complete SIMILAR TRIANGLES chapter: https://youtube.com/playlist?list=PLO4AH4RMd9SrTg8THpGgWBS0Dw0M0WTLm

KVS watsapp Group link3: https://chat.whatsapp.com/CWc0MytO0S7IgvZiTxNYFL

note:Please don't join in second group who are already in first AND second group

If you are unable to reach the school, the school will reach you.

The entire field of mathematics summarised in a single map! This shows how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.

#mathematics #DomainOfScience

If you would like to buy a poster of this map, they are available here:

North America: https://store.dftba.com/products/map-of-mathematics-poster

Everywhere else: http://www.redbubble.com/people/dominicwalliman/works/25095968-the-map-of-mathematics

French version: https://www.redbubble.com/people/dominicwalliman/works/40572671-the-map-of-mathematics-french-version?asc=u

Spanish Version: https://www.redbubble.com/people/dominicwalliman/works/40572693-the-map-of-mathematics-spanish-version?asc=u

I have also made a version available for educational use which you can find here: https://www.flickr.com/photos/95869671@N08/32264483720/in/dateposted-public/

To err is to human, and I human a lot. I always try my best to be as correct as possible, but unfortunately I make mistakes. This is the errata where I correct my silly mistakes. My goal is to one day do a video with no errors!

1. The number one is not a prime number. The definition of a prime number is a number can be divided evenly only by 1, or itself. And it must be a whole number GREATER than 1. (This last bit is the bit I forgot).

2. In the trigonometry section I drew cos(theta) = opposite / adjacent. This is the kind of thing you learn in high school and guess what. I got it wrong! Dummy. It should be cos(theta) = adjacent / hypotenuse.

3. My drawing of dice is slightly wrong. Most dice have their opposite sides adding up to 7, so when I drew 3 and 4 next to each other that is incorrect.

4. I said that the Gödel Incompleteness Theorems implied that mathematics is made up by humans, but that is wrong, just ignore that statement. I have learned more about it now, here is a good video explaining it:

5. In the animation about imaginary numbers I drew the real axis as vertical and the imaginary axis as horizontal which is opposite to the conventional way it is done.

Thanks so much to my supporters on Patreon. I hope to make money from my videos one day, but I’m not there yet! If you enjoy my videos and would like to help me make more this is the best way and I appreciate it very much. https://www.patreon.com/domainofscience

Here are links to some of the sources I used in this video.

Links:

Summary of mathematics: https://en.wikipedia.org/wiki/Mathematics

Earliest human counting: http://mathtimeline.weebly.com/early-human-counting-tools.html

First use of zero: https://en.wikipedia.org/wiki/0#History http://www.livescience.com/27853-who-invented-zero.html

First use of negative numbers: https://www.quora.com/Who-is-the-inventor-of-negative-numbers

Renaissance science: https://en.wikipedia.org/wiki/History_of_science_in_the_Renaissance

History of complex numbers: http://rossroessler.tripod.com/ https://en.wikipedia.org/wiki/Mathematics

Proof that pi is irrational: https://www.quora.com/How-do-you-prove-that-pi-is-an-irrational-number

and https://en.wikipedia.org/wiki/Proof_that_%CF%80_is_irrational#Laczkovich.27s_proof

Also, if you enjoyed this video, you will probably like my science books, available in all good books shops around the work and is printed in 16 languages. Links are below or just search for Professor Astro Cat. They are fun children's books aimed at the age range 7-12. But they are also a hit with adults who want good explanations of science. The books have won awards and the app won a Webby.

Frontiers of Space: http://nobrow.net/shop/professor-astro-cats-frontiers-of-space/

Atomic Adventure: http://nobrow.net/shop/professor-astro-cats-atomic-adventure/

Intergalactic Activity Book: http://nobrow.net/shop/professor-astro-cats-intergalactic-activity-book/

Solar System App: http://www.minilabstudios.com/apps/professor-astro-cats-solar-system/

Find me on twitter, instagram, and my website:

http://dominicwalliman.com

https://twitter.com/DominicWalliman

https://www.instagram.com/dominicwalliman

https://www.facebook.com/dominicwalliman

Math Videos: How To Learn Basic Arithmetic Fast - Online Tutorial Lessons

This online math video tutorial /lecture shows you how to learn basic arithmetic fast and easy. It contains plenty of examples and practice problems including drill quizzes to help you boost your math skills to the next level. Whether you're high school, college or an adult who wants to learn math, this video is for you.

Need Help With Difficult Homework Problems?

https://bit.ly/Find-A-Tutor

Basic Math Review Books:

https://amzn.to/2ZQmTg2

My Website: https://www.video-tutor.net

Patreon: https://www.patreon.com/MathScienceTutor

Algebra Video Playlist:

https://www.youtube.com/watch?v=i6sbjtJjJ-A\u0026list=PL0o_zxa4K1BWKL_6lYRmEaXY6OgZWGE8G\u0026index=1\u0026t=13129s

Here is a list topics:

1. How To Add and Subtract Real Numbers Using a Number Line

2. How To Add Negative Numbers

3. How To Perform Simple Addition and Subtraction By Hand

4. How To Multiply Two Numbers In Your Head – Mental Math

5. Basic Arithmetic Operations – Multiplication and Long Division

6. How To Add, Subtract, Multiply and Divide Fractions

7. How To Convert Improper Fractions Into Mixed Numbers

8. How To Subtract By Borrowing a 1 Method

9. Division of Fractions – Keep Change Flip Principle

10. How To Convert Fractions To Decimals Mentally and Using Long Division

11. How To Divide Two Numbers Using Reverse Multiplication

12. How To Convert Percent Into Decimal

13. How To Find The Percentage of a Number

14. How To Calculate Original and Final Price Using Sales Tax

15. How To Do Simple Multiplication By Using Money as an Illustration

16. Order of Operations Review – PEMDAS

17. How To Simplify Negative and Zero Exponents

18. How To Evaluate Numbers With Fractional Exponents

19. How To Evaluate Logarithms Especially Logs With Fractions

20. How To Find Square Root of a Number

21. Square of Negative Numbers – Imaginary Number i

22. How To Simplify Radical Expressions – Square \u0026 Cube Roots Using Perfect Squares \u0026 Cubes

23. How To Add and Subtract Radical Expressions

24. How To Convert Scientific Notation to Standard or Decimal

25. How To Multiply and Divide Numbers In Scientific Notation

26. How To Square Root of a Number In Scientific Notation

27. How To Factor Trinomials By Grouping

28. GCF – Greatest Common Factor

29. How To Solve Equations By Factoring – Difference of Perfect Squares Method

30. How To use The Quadratic Formula To Solve Equations

31. How To Solve Linear Equations Containing Decimals, Fractions, and Parentheses

32. How To Graph Linear and Quadratic Equations

33. How To Write The Equation of Line in Point Slope Form and Slope Intercept Form

34. How To Calculate The Slope of a Line Given Two Points

35. How To Graph Parabolic, Quadratic, Cubic, Absolute Value, Rational, and Radical Equations Using Transformations

36. Domain and Range For Quadratic Functions

37. How To Identify The Minimum and Maximum Point of a Quadratic Equation

38. How To Identify The Vertex and Axis of Symmetry of a Quadratic Equation

39. Reflection about the x axis, y axis, and the origin

40. Horizontal and vertical shifts.

41. Parent Functions of Exponential and Logarithmic Graphs and Equations

X CLASS MATHEMATICS SIMILAR TRIANGLES - 3

REVISION CLASSES SSC 2020-21 : https://youtube.com/playlist?list=PLO4AH4RMd9Srn8sOpL8tAvQR2StT4En5y

complete SIMILAR TRIANGLES chapter: https://youtube.com/playlist?list=PLO4AH4RMd9SrTg8THpGgWBS0Dw0M0WTLm

KVS watsapp Group link3: https://chat.whatsapp.com/CWc0MytO0S7IgvZiTxNYFL

note:Please don't join in second group who are already in first AND second group

If you are unable to reach the school, the school will reach you.

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