Group Definition (expanded) - Abstract Algebra

Group Definition (expanded) - Abstract Algebra

The group is the most fundamental object you will study in abstract algebra. Groups generalize a wide variety of mathematical sets: the integers, symmetries of shapes, modular arithmetic, NxM matrices, and much more. After learning about groups in detail, you will then be ready to continue your study of abstract algebra be learning about rings, fields, modules and vector spaces. Our sincere thanks go out to our VIP Patron, Matt Peters. Matt supported us on Patreon, and thanks to his generous donation, we were able to make this video. Thank you for helping make this video happen, Matt! ************** To​ ​help​ ​us​ continue making advanced math ​videos,​ ​you​ ​can​ ​support​ Socratica at: ​Patreon​: https://www.patreon.com/socratica Socratica Paypal: https://www.paypal.me/socratica We also accept Bitcoin! :) Our​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

Abstract Algebra: The definition of a Group

Abstract Algebra: The definition of a Group

Learn the definition of a group - one of the most fundamental ideas from abstract algebra. If you found this video helpful, please give it a "thumbs up" and share it with your friends! To see more videos on Abstract Algebra, please watch our playlist: https://www.youtube.com/watch?v=QudbrUcVPxk&list=PLi01XoE8jYoi3SgnnGorR_XOW3IcK-TP6 If​ ​you​’d​ ​like​ ​to​ ​help​ ​us​ ​make​ ​videos more quickly,​ ​you​ ​can​ ​support​ ​us​ on ​Patreon​ at https://www.patreon.com/socratica We​ ​also​ ​welcome​ ​Bitcoin​ ​donations!​ ​​ ​Our​ ​Bitcoin​ ​address​ ​is: 1EttYyGwJmpy9bLY2UcmEqMJuBfaZ1HdG9 Thank​ ​you!! ************** We recommend the following textbooks: Dummit & Foote, Abstract Algebra 3rd Edition http://amzn.to/2oOBd5S Milne, Algebra Course Notes (available free online) http://www.jmilne.org/math/CourseNotes/index.html ************** Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W You​ ​can​ ​also​ ​follow​ ​Socratica​ ​on: -​ ​Twitter:​ ​@socratica -​ ​Instagram:​ ​@SocraticaStudios -​ ​Facebook:​ ​@SocraticaStudios ******** Teaching​ ​Assistant:​ ​​ ​Liliana​ ​de​ ​Castro Written​ ​&​ ​Directed​ ​by​ ​Michael​ ​Harrison Produced​ ​by​ ​Kimberly​ ​Hatch​ ​Harrison

X Factor Top 5 Best Group Auditions

X Factor Top 5 Best Group Auditions

No copyright infringement intended.

TOP 6 Vocal Groups From Americas Got Talent & Britain's Got Talent

TOP 6 Vocal Groups From Americas Got Talent & Britain's Got Talent

Here's our TOP 6 best vocal groups from America's Got Talent & Britain's Got Talent! Auditions from BGT winners Collabro and AGT's Musicality; who's your favourite? Let us know in the comments below! Got Talent Global brings together the very best in worldwide talent, creating a central hub for fans of the show to keep up to date with the other sensational performances from around the world. Subscribe to Got Talent Global: http://www.youtube.com/user/gottalentglobal Watch more Got Talent Global videos: https://www.youtube.com/watch?v=w-z5mbZ-yCI&list=PLF-BDTAHX0p5xf2caJw3l9oPmuHI0PJRA Facebook: https://www.facebook.com/gottalentglobal Twitter: https://twitter.com/gottalentglobal #gottalent #talent #gottalent #talent #gottalent #talent

When Judges SPLIT GROUPS On X Factor UK! | X Factor Global

When Judges SPLIT GROUPS On X Factor UK! | X Factor Global

Well THIS is awkward... there is plenty of drama when X Factor judges decide that one group member shines more than the others! Will they abandon their bandmates? X Factor Global brings together the very best acts from around the world, keeping you up to date and ensuring that you never miss a thing! Subscribe to X Factor Global: https://www.youtube.com/user/xfactorglobal Watch more X Factor Global videos: https://www.youtube.com/user/xfactorglobal/videos

Group theory - Binary operation, Algebraic structure & Abelian Group in hindi

Group theory -  Binary operation, Algebraic structure & Abelian Group in hindi

This video is useful for students of BTech/BE/Engineering/ BSc/MSc Mathematics students. Also for students preparing IIT-JAM, GATE, CSIR-NET and other exams.

Social Groups: Crash Course Sociology #16

Social Groups: Crash Course Sociology #16

How do the groups that you're part of affect you? How do you, in turn, affect those groups? Today we are talking about how people in society come together with a look at social groups. We’ll look at what social groups are, the different kinds of groups that exist, group dynamics, leadership, conformity, networks and more! Crash Course is made with Adobe Creative Cloud. Get a free trial here: https://www.adobe.com/creativecloud.html *** Crash Course is on Patreon! You can support us directly by signing up at http://www.patreon.com/crashcourse Thanks to the following Patrons for their generous monthly contributions that help keep Crash Course free for everyone forever: Mark, Les Aker, Bob Kunz, mark austin, William McGraw, Jeffrey Thompson, Ruth Perez, Jason A Saslow, Shawn Arnold, Eric Prestemon, Malcolm Callis, Steve Marshall, Advait Shinde, Rachel Bright, Khaled El Shalakany, Sam Hickman, Ian Dundore, Asif Ahmed, Tim Curwick, Ken Penttinen, Dominic Dos Santos, Caleb Weeks, Frantic Gonzalez, Kathrin Janßen, Nathan Taylor, Yana Leonor, Andrei Krishkevich, Brian Thomas Gossett, Chris Peters, Kathy & Tim Philip, Mayumi Maeda, Eric Kitchen, SR Foxley, Tom Trval, Andrea Bareis, Moritz Schmidt, Jessica Wode, Daniel Baulig, Jirat -- Want to find Crash Course elsewhere on the internet? Facebook - http://www.facebook.com/YouTubeCrashCourse Twitter - http://www.twitter.com/TheCrashCourse Tumblr - http://thecrashcourse.tumblr.com Support Crash Course on Patreon: http://patreon.com/crashcourse CC Kids: http://www.youtube.com/crashcoursekids

Kpop Disband Groups: FIRST VS LAST SONG

Kpop Disband Groups: FIRST VS LAST SONG

App that's pays you to walk (not available in all countries).... https://sweatco.in/i/gdtst PART 1 https://youtu.be/2fpHciAkZV8 ► Business email: Kpop.est17@gmail.com ► Check out the kpop song playlist: - Kpop songs 2018 http://bit.ly/2F8Y8S7 - 10 minutes of kpop http://bit.ly/2EZCTPj - Kpop vs http://bit.ly/2FEGBzb - Kpop vocal talent http://bit.ly/2HTi4XV *Copyright Disclaimer* Title 17, US Code (Sections 107-118 of the copyright law, Act 1976): All media in this video is used for purpose of review & commentary under terms of fair use.

Top 10 Girl Groups of All Time

Top 10 Girl Groups of All Time

They were the best groups comprised solely of women that ever existed. Join http://www.WatchMojo.com as we count down our picks for the top 10 girl groups of all time. Click here to subscribe: http://www.youtube.com/subscription_center?add_user=watchmojo or visit our channel page here: http://www.youtube.com/watchmojo Also, check out our interactive Suggestion Tool at http://www.WatchMojo.com/suggest :) Special thanks to our users gretchenvila, viliguns, Grungeman23, jwayans, KWFlawless, HollyElysse, Erica Jones and KoBCharts for submitting the idea on our Suggestions Page at WatchMojo.com/suggest Check out the voting page here, http://watchmojo.com/suggest/Top%2010%20Girl%20Bands%20of%20the%20Past%2025%20years If you want to suggest an idea for a WatchMojo video, check out our interactive Suggestion Tool at http://www.WatchMojo.com/suggest :) Check us out at http://www.Twitter.com/WatchMojo, http://instagram.com/watchmojo and http://www.Facebook.com/WatchMojo. Want a WatchMojo cup, mug, t-shirts, pen, sticker and even a water bottle? Get them all when you order your MojoBox gift set here: http://watchmojo.com/store/ WatchMojo is a leading producer of reference online video content, covering the People, Places and Trends you care about. We update DAILY with 2-3 Top 10 lists, Origins, Biographies, Versus clips on movies, video games, music, pop culture and more! girl groups Best girl groups Top 10 Girl Groups of All Time

Create a Group in the NEW Gmail

Create a Group in the NEW Gmail

This video will show you how to create a group in Gmail. The New Gmail has changed how to create a group. Instead of creating a group in Gmail, now you create labels in the new Gmail. Add your contacts to labels and then you can quickly send emails to groups of emails in Gmail. New videos every week. Click the link to SUBSCRIBE today! http://bit.ly/Subscribe_TeachersTech The software I use for screencasting: Camtasia: https://techsmith.pxf.io/c/1264585/347799/5161 My gear for screencasting: Webcam: http://geni.us/0EMGTUA Green Screen: http://geni.us/9v1mwT8 Mic: http://geni.us/hiQYi Swivel Mount: http://geni.us/rcNcXAi Audio Mixer: http://geni.us/8Jt1A5a Lights: http://geni.us/rLDN Website: http://teachers.tech/ Follow me on twitter: https://twitter.com/Teachers_Tech Find me on Facebook: http://bit.ly/teacherstechfb Also on Google Plus: http://bit.ly/teacherstechgp

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