• FamousMathProbs 13a: The rotation problem and Hamilton's discovery of quaternions I

    W. R. Hamilton in 1846 famously carved the basic multiplicative laws of the four dimensional algebra of quaternions onto a bridge in Dublin during a walk with his wife. This represented a great breakthrough on an important problem he had been wrestling with: how to algebraically represent rotations of 3 dimensional space using some kind of analog of complex numbers for rotations of the plane. This is the first of three lectures on this development, and here we set the stage by introducing complex numbers and explaining some of their natural links with rotations of the plane. There is a lot of information in this lecture, so by all means take it slowly, and break it up by pausing and absorbing the ideas before going further. In particular the last slide (page 9) could easily be stared at ...

    published: 17 May 2013
  • All-New Land Rover Discovery – Surfing with Laird Hamilton

    The All-New Land Rover Discovery receives the surfing seal of approval as legendary surfer Laird Hamilton and 8-year old surfing prodigy Jett Prefontaine take the ultimate family SUV on a surf adventure in Malibu. In a display of incredible versatility, smart technology and capability, the All-New Discovery proves why it’s the perfect SUV for any adventure. Visit http://bit.ly/2fBmbtf for more All-New Discovery Information.

    published: 15 Nov 2016
  • Hamilton: Building America -Alexander Hamilton vs. Aaron Burr | History

    Alexander Hamilton and Aaron Burr met on the dueling ground one fateful day, but their story started much earlier. Subscribe for more from HISTORY: http://www.youtube.com/subscription_center?add_user=historychannel Find out more about this and other specials on our site: http://www.history.com Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history Google+ - https://plus.google.com/+HISTORY HISTORY Specials Season 1 Episode 1 THE HISTORY CHANNEL brings history's most incredible wartime feats, scientific mysteries, and turbulent periods back to life. HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that co...

    published: 07 Jul 2017
  • ALEXANDER HAMILTON

    Description

    published: 21 Sep 2016
  • Possible cave discovery ,May 2016 .Hamilton Ontario Canada .

    published: 13 May 2016
  • Hamilton, Boole and their Algebras - Professor Raymond Flood

    Professor Flood gives a fabulous overvierw of the lives and work of two mathematicians, Hamilton and Boole: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-algebras William Rowan Hamilton (1805-1865) revolutionized algebra with his discovery of quaternions, a non-commutative algebraic system, as well as his earlier work on complex numbers. George Boole (1815-1864) contributed to probability and differential equations, but his greatest achievement was to create an algebra of logic 'Boolean algebra'. These new algebras were not only important to the development of algebra but remain of current use. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-...

    published: 01 Dec 2015
  • UF Law E-Discovery Story Booth 2017 - Bill Hamilton

    Bill Hamilton sits down with interviewer Tom O'Connor to discuss #UFEDisco17 and E-Discovery in general.

    published: 13 Apr 2017
  • Kaitlin Hamilton - Discovery Talks

    The Ohio State University's Kaitlin Hamilton delivers her Discovery Talk 'Mitochondria and Macrophages: New Directions in Cystic Fibrosis Research.' Presented by Infectious Diseases, a focus area of Ohio State's Discovery Themes.

    published: 20 Feb 2018
  • 20 Discovery Drive, Flagstaff, Hamilton.

    For more information please go to https://www.lodge.co.nz/Browse-Properties/Flagstaff/20-Discovery-Drive-Flagstaff/LF06951

    published: 10 Aug 2017
  • FamousMathProbs13b: The rotation problem and Hamilton's discovery of quaternions (II)

    This is the second of three lectures on Hamilton's discovery of quaternions, and here we introduce rotations of three dimensional space and the natural problem of how to describe them effectively and compose them. We discuss the geometry of the sphere, take a detour to talk about composing planar rotations with different centers, talk about the connections between reflections and rotations, and introduce the basic algebraic framework with vectors, the dot product and the cross product. As in the first lecture, there is a lot of information here, so by all means take it slowly, and break it up by pausing and absorbing the ideas before going further. Euler's theorem on the composition of rotations is an important ingredient. You will also learn that a curious addition of spherical vectors ...

    published: 01 May 2013
  • Surfing With 2017 Land Rover Discovery and Laird Hamilton

    Surf legend Laird Hamilton and eight-year old phenomenon Jett Prefontaine take New Discovery surfing at Point Mugu in Malibu, California ahead of its U.S. premiere Hamilton demonstrates Intelligent Seat Fold technology by rearranging premium SUV’s seats from the water(3) Intelligent Seat Fold technology allows customers to reconfigure the second and third row seats remotely using a smartphone(3) Members of the Silicon Beach Surfers club join Laird and Jett to check out the new Land Rover SUV’s surf-friendly features, including the waterproof Activity Key wristband New Discovery Dynamic Design Pack receives debut at LA Auto Show New Discovery can accommodate seven surfers in comfort If you like DPCcars videos please subscribe: https://goo.gl/BSIaFc

    published: 15 Nov 2016
  • Forbes Hamilton, Land Rover Discovery

    Forbes regularly takes his Land Rover Discovery on 4x4 adventures in the wilds of the west of Scotland, we join him for a fun journey and ask him what else is important in his life. See more at http://crazyway.tv

    published: 17 May 2016
  • Loading and Driving a 30 metre long Pile at the Hamilton Marine Discovery Centre

    This video shows loading a 30 metre long pipe pile into a Bermingham Vertical Travel Lead, and driving it using a Berminghammer Diesel Impact Hammer. The job was at the Marine Discover Centre in Hamilton, Ontario.

    published: 10 Aug 2011
  • 2016 Discovery Days in Health Sciences Hamilton

    Our 4th annual Discovery Day in Health Sciences hosted by Hamilton Health Sciences gave area high school students and teachers another opportunity to explore careers in medicine and other sciences via a keynote lecture, hands-on workshops and an interactive lab demo which concluded the day. Take a peak at some of the things we did and share the excitement!

    published: 31 Aug 2016
  • Connect to Hamilton - OCE Discovery

    We partnered with the entire #HamOnt innovation ecosystem at this year's Ontario Centres of Excellence Discovery event! Event-goers connected to Hamilton as we brought together McMaster University & Mohawk College, Innovation Factory & The Forge - Hamilton, Hamilton Economic Development, and partners from across this city. We were joined by innovative Hamilton start ups like Nix Sensor Ltd., Lumago Inc., Brüha, OverAir, Cinnos, 180 Drums, Nuts For Cheese, Aiva Labs and so many more. What an amazing opportunity to connect our city and bring the entire ecosystem together! Check out the video here:

    published: 25 May 2017
  • E-Discovery Story Booth: Bill Hamilton, Executive Director at UF Law E-Discovery Project

    Our very own Bill Hamilton, UF Law Alum and Executive Director of the UF Law E-Discovery Project sits down with fellow alum and our E-Discovery Story Booth celebrity interviewer David Horrigan. Bill shares how he got involved in e-Discovery and how he began developing the E-Discovery Project for UF Law.

    published: 12 Apr 2016
  • Hamilton's New Discovery Centre

    Information about the possible sale by Hamilton City Council of the publicly owned Discovery Centre on Hamilton's harbour. There has been zero public consultation about this potential sale. We don't think that's a good idea.#savethediscovery

    published: 16 Mar 2018
  • A.Hamilton - Discovery Days Promo Vimeo

    Discovery Days Camps Promo Video for Summer 2015.

    published: 15 Sep 2015
  • FamousMathProbs13d: The rotation problem and Hamilton's discovery of quaternions IV

    We show how to practically implement the use of quaternions to describe the algebra of rotations of three dimensional space. The key idea is to use the notion of half-turn [or half-slope--I have changed terminology since this video was made!] instead of angle: this is well suited to connect with the lovely algebraic structure of quaternions. The theory of half turns is interesting in its own right, and belongs to what we call Vector Trigonometry--an interesting variant of Rational Trigonometry that we intend to describe in detail elsewhere. Here we only need a few formulas for half turns, which really go back to the ancient Greeks and the rational parametrization of the unit circle which we have discussed many times! By focussing on the formula for quaternion multiplication in terms of s...

    published: 09 Aug 2013
  • Bryan University - What is e-Discovery Project Management by William F. Hamilton

    published: 23 Mar 2012
  • FamousMathProbs13c: The rotation problem and Hamilton's discovery of quaternions III

    This is the third lecture on the problem of how to extend the algebraic structure of the complex numbers to deal with rotations in space, and Hamilton's discovery of quaternions, and here we roll up the sleaves and get to work laying out a concise but logically clear framework for this remarkable structure. A main tool that we will use is the algebra of 2x2 matrices, however with (rational) complex number entries. This allows us a simplified way of proving the various laws of arithmetic for quaternions, and brings ideas from linear algebra, like the determinant and the trace of a matrix, into play. We end with an important visual model of quaternions and the key formula that connects them with rotations of three dimensional space. There is a lot in this lecture, so be prepared to go slow...

    published: 24 Jul 2013
  • Bryan University - What is e-Discovery by William F. Hamilton

    published: 23 Mar 2012
  • Deep Sea Turtle Discovery Hamilton Island 2016

    published: 18 Sep 2016
  • Hamilton Discovery School

    Hamilton Discovery School Talent Show

    published: 19 May 2017
developed with YouTube
FamousMathProbs 13a: The rotation problem and Hamilton's discovery of quaternions I
58:24

FamousMathProbs 13a: The rotation problem and Hamilton's discovery of quaternions I

  • Order:
  • Duration: 58:24
  • Updated: 17 May 2013
  • views: 62867
videos
W. R. Hamilton in 1846 famously carved the basic multiplicative laws of the four dimensional algebra of quaternions onto a bridge in Dublin during a walk with his wife. This represented a great breakthrough on an important problem he had been wrestling with: how to algebraically represent rotations of 3 dimensional space using some kind of analog of complex numbers for rotations of the plane. This is the first of three lectures on this development, and here we set the stage by introducing complex numbers and explaining some of their natural links with rotations of the plane. There is a lot of information in this lecture, so by all means take it slowly, and break it up by pausing and absorbing the ideas before going further. In particular the last slide (page 9) could easily be stared at for an hour or two. Even old hands at complex analysis may find something novel here to stimulate their thinking, as I insist on a completely logical and rational approach to mathematics--no waffling with angles or ``transcendental notions/functions'' involving ``real numbers''. In fact such a pure algebraic approach is exactly what is needed to set the stage for a good understanding of quaternions. In particular you will learn that the most fundamental fact about complex numbers is properly stated using the notion of quadrance, that turns are a viable substitute for angles, and that the rational parametrization of a circle is intimately linked to a quadratic map at the level of complex numbers. These ideas will prepare us for appreciating the rotation problem in three dimensions, which we tackle in the next lecture, and then the introduction of quaternions, which we explain in the following one. Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary. My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/.... I also have a blog at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things, and you can check out my webpages at http://web.maths.unsw.edu.au/~norman/. Of course if you want to support all these bold initiatives, become a Patron of this Channel at https://www.patreon.com/njwildberger?... .
https://wn.com/Famousmathprobs_13A_The_Rotation_Problem_And_Hamilton's_Discovery_Of_Quaternions_I
All-New Land Rover Discovery – Surfing with Laird Hamilton
1:45

All-New Land Rover Discovery – Surfing with Laird Hamilton

  • Order:
  • Duration: 1:45
  • Updated: 15 Nov 2016
  • views: 28285
videos
The All-New Land Rover Discovery receives the surfing seal of approval as legendary surfer Laird Hamilton and 8-year old surfing prodigy Jett Prefontaine take the ultimate family SUV on a surf adventure in Malibu. In a display of incredible versatility, smart technology and capability, the All-New Discovery proves why it’s the perfect SUV for any adventure. Visit http://bit.ly/2fBmbtf for more All-New Discovery Information.
https://wn.com/All_New_Land_Rover_Discovery_–_Surfing_With_Laird_Hamilton
Hamilton: Building America -Alexander Hamilton vs. Aaron Burr | History
3:30

Hamilton: Building America -Alexander Hamilton vs. Aaron Burr | History

  • Order:
  • Duration: 3:30
  • Updated: 07 Jul 2017
  • views: 126309
videos
Alexander Hamilton and Aaron Burr met on the dueling ground one fateful day, but their story started much earlier. Subscribe for more from HISTORY: http://www.youtube.com/subscription_center?add_user=historychannel Find out more about this and other specials on our site: http://www.history.com Newsletter: https://www.history.com/newsletter Website - http://www.history.com Facebook - https://www.facebook.com/History Twitter - https://twitter.com/history Google+ - https://plus.google.com/+HISTORY HISTORY Specials Season 1 Episode 1 THE HISTORY CHANNEL brings history's most incredible wartime feats, scientific mysteries, and turbulent periods back to life. HISTORY®, now reaching more than 98 million homes, is the leading destination for award-winning original series and specials that connect viewers with history in an informative, immersive, and entertaining manner across all platforms. The network’s all-original programming slate features a roster of hit series, epic miniseries, and scripted event programming. Visit us at HISTORY.com for more info.
https://wn.com/Hamilton_Building_America_Alexander_Hamilton_Vs._Aaron_Burr_|_History
ALEXANDER HAMILTON
1:53:49

ALEXANDER HAMILTON

  • Order:
  • Duration: 1:53:49
  • Updated: 21 Sep 2016
  • views: 56106
videos https://wn.com/Alexander_Hamilton
Possible cave discovery ,May 2016 .Hamilton Ontario Canada .
5:55

Possible cave discovery ,May 2016 .Hamilton Ontario Canada .

  • Order:
  • Duration: 5:55
  • Updated: 13 May 2016
  • views: 857
videos
https://wn.com/Possible_Cave_Discovery_,May_2016_.Hamilton_Ontario_Canada_.
Hamilton, Boole and their Algebras - Professor Raymond Flood
54:56

Hamilton, Boole and their Algebras - Professor Raymond Flood

  • Order:
  • Duration: 54:56
  • Updated: 01 Dec 2015
  • views: 6404
videos
Professor Flood gives a fabulous overvierw of the lives and work of two mathematicians, Hamilton and Boole: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-algebras William Rowan Hamilton (1805-1865) revolutionized algebra with his discovery of quaternions, a non-commutative algebraic system, as well as his earlier work on complex numbers. George Boole (1815-1864) contributed to probability and differential equations, but his greatest achievement was to create an algebra of logic 'Boolean algebra'. These new algebras were not only important to the development of algebra but remain of current use. The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and-events/hamilton-boole-and-their-algebras Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 1,800 lectures free to access or download from the website. Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: https://www.facebook.com/greshamcollege Instagram: http://www.instagram.com/greshamcollege
https://wn.com/Hamilton,_Boole_And_Their_Algebras_Professor_Raymond_Flood
UF Law E-Discovery Story Booth 2017 - Bill Hamilton
9:04

UF Law E-Discovery Story Booth 2017 - Bill Hamilton

  • Order:
  • Duration: 9:04
  • Updated: 13 Apr 2017
  • views: 19
videos
Bill Hamilton sits down with interviewer Tom O'Connor to discuss #UFEDisco17 and E-Discovery in general.
https://wn.com/Uf_Law_E_Discovery_Story_Booth_2017_Bill_Hamilton
Kaitlin Hamilton - Discovery Talks
9:29

Kaitlin Hamilton - Discovery Talks

  • Order:
  • Duration: 9:29
  • Updated: 20 Feb 2018
  • views: 11
videos
The Ohio State University's Kaitlin Hamilton delivers her Discovery Talk 'Mitochondria and Macrophages: New Directions in Cystic Fibrosis Research.' Presented by Infectious Diseases, a focus area of Ohio State's Discovery Themes.
https://wn.com/Kaitlin_Hamilton_Discovery_Talks
20 Discovery Drive, Flagstaff, Hamilton.
1:46

20 Discovery Drive, Flagstaff, Hamilton.

  • Order:
  • Duration: 1:46
  • Updated: 10 Aug 2017
  • views: 105
videos
For more information please go to https://www.lodge.co.nz/Browse-Properties/Flagstaff/20-Discovery-Drive-Flagstaff/LF06951
https://wn.com/20_Discovery_Drive,_Flagstaff,_Hamilton.
FamousMathProbs13b: The rotation problem and Hamilton's discovery of quaternions (II)
59:47

FamousMathProbs13b: The rotation problem and Hamilton's discovery of quaternions (II)

  • Order:
  • Duration: 59:47
  • Updated: 01 May 2013
  • views: 24890
videos
This is the second of three lectures on Hamilton's discovery of quaternions, and here we introduce rotations of three dimensional space and the natural problem of how to describe them effectively and compose them. We discuss the geometry of the sphere, take a detour to talk about composing planar rotations with different centers, talk about the connections between reflections and rotations, and introduce the basic algebraic framework with vectors, the dot product and the cross product. As in the first lecture, there is a lot of information here, so by all means take it slowly, and break it up by pausing and absorbing the ideas before going further. Euler's theorem on the composition of rotations is an important ingredient. You will also learn that a curious addition of spherical vectors on the surface of a sphere provides an effective visual calculus for composing rotations. This lecture prepares us for the next, where we introduce Hamilton's quaternions, which connect the dot product and cross product in a remarkable way, and yield probably the most effective current technique for managing rotations in graphics, video games and rocket science. So yes, this is really rocket science! Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
https://wn.com/Famousmathprobs13B_The_Rotation_Problem_And_Hamilton's_Discovery_Of_Quaternions_(Ii)
Surfing With 2017 Land Rover Discovery and Laird Hamilton
1:52

Surfing With 2017 Land Rover Discovery and Laird Hamilton

  • Order:
  • Duration: 1:52
  • Updated: 15 Nov 2016
  • views: 919
videos
Surf legend Laird Hamilton and eight-year old phenomenon Jett Prefontaine take New Discovery surfing at Point Mugu in Malibu, California ahead of its U.S. premiere Hamilton demonstrates Intelligent Seat Fold technology by rearranging premium SUV’s seats from the water(3) Intelligent Seat Fold technology allows customers to reconfigure the second and third row seats remotely using a smartphone(3) Members of the Silicon Beach Surfers club join Laird and Jett to check out the new Land Rover SUV’s surf-friendly features, including the waterproof Activity Key wristband New Discovery Dynamic Design Pack receives debut at LA Auto Show New Discovery can accommodate seven surfers in comfort If you like DPCcars videos please subscribe: https://goo.gl/BSIaFc
https://wn.com/Surfing_With_2017_Land_Rover_Discovery_And_Laird_Hamilton
Forbes Hamilton, Land Rover Discovery
4:47

Forbes Hamilton, Land Rover Discovery

  • Order:
  • Duration: 4:47
  • Updated: 17 May 2016
  • views: 10
videos
Forbes regularly takes his Land Rover Discovery on 4x4 adventures in the wilds of the west of Scotland, we join him for a fun journey and ask him what else is important in his life. See more at http://crazyway.tv
https://wn.com/Forbes_Hamilton,_Land_Rover_Discovery
Loading and Driving a 30 metre long Pile at the Hamilton Marine Discovery Centre
3:24

Loading and Driving a 30 metre long Pile at the Hamilton Marine Discovery Centre

  • Order:
  • Duration: 3:24
  • Updated: 10 Aug 2011
  • views: 436824
videos
This video shows loading a 30 metre long pipe pile into a Bermingham Vertical Travel Lead, and driving it using a Berminghammer Diesel Impact Hammer. The job was at the Marine Discover Centre in Hamilton, Ontario.
https://wn.com/Loading_And_Driving_A_30_Metre_Long_Pile_At_The_Hamilton_Marine_Discovery_Centre
2016 Discovery Days in Health Sciences   Hamilton
3:01

2016 Discovery Days in Health Sciences Hamilton

  • Order:
  • Duration: 3:01
  • Updated: 31 Aug 2016
  • views: 480
videos
Our 4th annual Discovery Day in Health Sciences hosted by Hamilton Health Sciences gave area high school students and teachers another opportunity to explore careers in medicine and other sciences via a keynote lecture, hands-on workshops and an interactive lab demo which concluded the day. Take a peak at some of the things we did and share the excitement!
https://wn.com/2016_Discovery_Days_In_Health_Sciences_Hamilton
Connect to Hamilton - OCE Discovery
2:26

Connect to Hamilton - OCE Discovery

  • Order:
  • Duration: 2:26
  • Updated: 25 May 2017
  • views: 69
videos
We partnered with the entire #HamOnt innovation ecosystem at this year's Ontario Centres of Excellence Discovery event! Event-goers connected to Hamilton as we brought together McMaster University & Mohawk College, Innovation Factory & The Forge - Hamilton, Hamilton Economic Development, and partners from across this city. We were joined by innovative Hamilton start ups like Nix Sensor Ltd., Lumago Inc., Brüha, OverAir, Cinnos, 180 Drums, Nuts For Cheese, Aiva Labs and so many more. What an amazing opportunity to connect our city and bring the entire ecosystem together! Check out the video here:
https://wn.com/Connect_To_Hamilton_Oce_Discovery
E-Discovery Story Booth: Bill Hamilton, Executive Director at UF Law E-Discovery Project
7:43

E-Discovery Story Booth: Bill Hamilton, Executive Director at UF Law E-Discovery Project

  • Order:
  • Duration: 7:43
  • Updated: 12 Apr 2016
  • views: 17
videos
Our very own Bill Hamilton, UF Law Alum and Executive Director of the UF Law E-Discovery Project sits down with fellow alum and our E-Discovery Story Booth celebrity interviewer David Horrigan. Bill shares how he got involved in e-Discovery and how he began developing the E-Discovery Project for UF Law.
https://wn.com/E_Discovery_Story_Booth_Bill_Hamilton,_Executive_Director_At_Uf_Law_E_Discovery_Project
Hamilton's New Discovery Centre
4:28

Hamilton's New Discovery Centre

  • Order:
  • Duration: 4:28
  • Updated: 16 Mar 2018
  • views: 53
videos
Information about the possible sale by Hamilton City Council of the publicly owned Discovery Centre on Hamilton's harbour. There has been zero public consultation about this potential sale. We don't think that's a good idea.#savethediscovery
https://wn.com/Hamilton's_New_Discovery_Centre
A.Hamilton - Discovery Days Promo Vimeo
1:13

A.Hamilton - Discovery Days Promo Vimeo

  • Order:
  • Duration: 1:13
  • Updated: 15 Sep 2015
  • views: 26
videos https://wn.com/A.Hamilton_Discovery_Days_Promo_Vimeo
FamousMathProbs13d: The rotation problem and Hamilton's discovery of quaternions IV
1:01:33

FamousMathProbs13d: The rotation problem and Hamilton's discovery of quaternions IV

  • Order:
  • Duration: 1:01:33
  • Updated: 09 Aug 2013
  • views: 13754
videos
We show how to practically implement the use of quaternions to describe the algebra of rotations of three dimensional space. The key idea is to use the notion of half-turn [or half-slope--I have changed terminology since this video was made!] instead of angle: this is well suited to connect with the lovely algebraic structure of quaternions. The theory of half turns is interesting in its own right, and belongs to what we call Vector Trigonometry--an interesting variant of Rational Trigonometry that we intend to describe in detail elsewhere. Here we only need a few formulas for half turns, which really go back to the ancient Greeks and the rational parametrization of the unit circle which we have discussed many times! By focussing on the formula for quaternion multiplication in terms of scalar and vector parts, we can deduce that any orthonormal set of vectors u,v and w act algebraically just like the familiar unit vectors l,j and k. That allows us to decompose the multiplication of a general quaternion into its action on two perpendicular planes: this is the key to understanding the geometry of quaternion multiplication. It allows us to easily see the effect of multiplying on the left by q and on the right be the conjugate. After a normalization by the quadrance of q, we get a rotation of the vector part of the space, which is the connection with rotations that we seek. Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary. My research papers can be found at my Research Gate page, at https://www.researchgate.net/profile/.... I also have a blog at http://njwildberger.com/, where I will discuss lots of foundational issues, along with other things, and you can check out my webpages at http://web.maths.unsw.edu.au/~norman/. Of course if you want to support all these bold initiatives, become a Patron of this Channel at https://www.patreon.com/njwildberger?... .
https://wn.com/Famousmathprobs13D_The_Rotation_Problem_And_Hamilton's_Discovery_Of_Quaternions_Iv
Bryan University - What is e-Discovery Project Management by William F. Hamilton
2:05

Bryan University - What is e-Discovery Project Management by William F. Hamilton

  • Order:
  • Duration: 2:05
  • Updated: 23 Mar 2012
  • views: 428
videos
https://wn.com/Bryan_University_What_Is_E_Discovery_Project_Management_By_William_F._Hamilton
FamousMathProbs13c: The rotation problem and Hamilton's discovery of quaternions III
56:14

FamousMathProbs13c: The rotation problem and Hamilton's discovery of quaternions III

  • Order:
  • Duration: 56:14
  • Updated: 24 Jul 2013
  • views: 14295
videos
This is the third lecture on the problem of how to extend the algebraic structure of the complex numbers to deal with rotations in space, and Hamilton's discovery of quaternions, and here we roll up the sleaves and get to work laying out a concise but logically clear framework for this remarkable structure. A main tool that we will use is the algebra of 2x2 matrices, however with (rational) complex number entries. This allows us a simplified way of proving the various laws of arithmetic for quaternions, and brings ideas from linear algebra, like the determinant and the trace of a matrix, into play. We end with an important visual model of quaternions and the key formula that connects them with rotations of three dimensional space. There is a lot in this lecture, so be prepared to go slowly, take it in bite size pieces if necessary, and try your hand at the problems! In the next and final lecture on this topic, we will amplify our understanding of the rotation mapping, and show how quaternions can be practically used to realize rotations and their compositions. All without any use of transcendental notions such as angle, cos or sin-- a big step forward in the conceptual understanding of this subject!! Screenshot PDFs for my videos are available at the website http://wildegg.com. These give you a concise overview of the contents of each lecture. Great for review, study and summary.
https://wn.com/Famousmathprobs13C_The_Rotation_Problem_And_Hamilton's_Discovery_Of_Quaternions_Iii
Bryan University - What is e-Discovery by William F. Hamilton
2:47

Bryan University - What is e-Discovery by William F. Hamilton

  • Order:
  • Duration: 2:47
  • Updated: 23 Mar 2012
  • views: 174
videos
https://wn.com/Bryan_University_What_Is_E_Discovery_By_William_F._Hamilton
Deep Sea Turtle Discovery Hamilton Island 2016
7:51

Deep Sea Turtle Discovery Hamilton Island 2016

  • Order:
  • Duration: 7:51
  • Updated: 18 Sep 2016
  • views: 179
videos
https://wn.com/Deep_Sea_Turtle_Discovery_Hamilton_Island_2016
Hamilton Discovery School
2:35

Hamilton Discovery School

  • Order:
  • Duration: 2:35
  • Updated: 19 May 2017
  • views: 11
videos https://wn.com/Hamilton_Discovery_School
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