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

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

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.

Top 10 Notorious Hate Groups

Top 10 Notorious Hate Groups

History is filled with groups that have advocated hate and violence. In this video, WatchMojo.com takes a look at some of the most infamous hate groups to ever exist, to better understand the causes of their rise, what explains their growth in popularity, and what led to their decline. Welcome to http://www.WatchMojo.com, and today we’re counting down our picks for the top 10 notorious hate groups. For this list, we’re looking at the most infamous groups that promote hate and/or discrimination, by focusing on the origins of the groups, the causes that led to their growth as well as their influence during their peaks. 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 We have T-Shirts! Be sure to check out http://www.WatchMojo.com/store for more info.

Gone Groups of the 1960s: Musical acts that have fallen off the radar of time

Gone Groups of the 1960s: Musical acts that have fallen off the radar of time

This is not about how many hits they had or how popular they were. It's about being gone from the public consciousness. People still talk about The Beatles. Not so much these groups.

BEST TOP 7 Kid Dance Groups on Got Talent Global

BEST TOP 7 Kid Dance Groups on Got Talent Global

Watch the BEST Kid Dance Groups on Got Talent Global. Who was your best kid dance group?? Let us know in the comments below.. Best TOP Kid Groups including Merseygirls, QT Crew, Fresh Faces AND MORE! Watch more: ▶︎ MerseyGirls: https://www.youtube.com/watch?v=ugmoN7ebwJE ▶︎ QT Crew: https://www.youtube.com/watch?v=PZfBXu_vHo4&t=9s ▶︎ Fresh Faces: https://www.youtube.com/watch?v=em3w_ByZq24 ▶︎ Entity Allstars: https://www.youtube.com/watch?v=CfaXgOUGA_0 AND MORE... ▶︎ 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 ▶︎ Instagram: https://www.instagram.com/gottalentglobal 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. #gottalent #talent #gottalent #talent #gottalent #talent

[OFFICIAL VIDEO] Evolution Of Girl Groups - Citizen Queen

[OFFICIAL VIDEO] Evolution Of Girl Groups - Citizen Queen

Evolution Of Girl Groups - Citizen Queen Mr. Sandman - The Chordettes (1954) Dancing In The Street - Martha and the Vandellas (1964) Stop! In The Name Of Love - The Supremes (1965) Lady Marmalade - LaBelle (1974) Best Of My Love - The Emotions (1977) We Are Family - Sister Sledge (1979) It’s Raining Men - The Weather Girls (1983) Venus - Bananarama (1986) [OPB: Shocking Blue (1969)] Alone - Heart (1987) My Lovin’ (You’re Never Gonna Get It) - En Vogue (1992) Whatta Man - Salt-N-Pepa feat. En Vogue (1993) Waterfalls - TLC (1994) Wannabe - Spice Girls (1996) Spice Up Your Life - Spice Girls (1997) No Scrubs - TLC (1999) Where My Girls At? - 702 (1999) Say My Name - Destiny’s Child (1999) Survivor - Destiny’s Child (2001) Buttons - Pussycat Dolls (2005) Damaged - Danity Kane (2008) Wings - Little Mix (2012) Black Magic - Little Mix (2015) Work From Home - Fifth Harmony (2016) BO$$ - Fifth Harmony (2014) Sledgehammer - Fifth Harmony (2014) FOLLOW US: IG - @citizenqueen FB - @CitizenQueenMusic TW - @CQOfficial Website - www.citizenqueen.com CITIZEN QUEEN IS: Cora Isabel - @coraisabel on IG + @coraisabel5 on TW Nina Nelson - @ninaannnelson on IG + TW Hannah Mrozak - @hannahmrozak on IG + TW Kaylah Sharve' - @kaylahsharve on IG + TW Kaedi Dalley - @kdphilo on IG + TW ----------------- Directed by Ryan Parma https://www.ryanparma.com Co-Directed & Choreographed by: Lindsey Blaufarb and Craig Hollamon @im_lindseyb and @coloredcraig on IG Edited by Deanna Hong @deannahong on IG Arranged by: Ben Bram Shams Ahmed Scott Hoying Citizen Queen Additional Arranging By: Rob Dietz Produced and recorded by Ben Bram and Shams Ahmed Mixed by Ed Boyer http://edboyeracappella.com/ Additional audio production by Ted Trembinski https://tedtrembinski.com/ Mastered by Bill Hare http://billhareacappella.com/home.html

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

Introduction to Group Theory

Introduction to Group Theory

A more high brow video. An introduction to group theory - the mathematics of symmetry. This is what I really study.

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