10% OFF Code: TRYIT

English | 2014 | ISBN: 9780429088889 | 702 pages | True PDF | 75.26 MB

English | 326 pages | Emerald Publishing Limited (June 8, 2011) | 1780520263 | PDF | 3.02 Mb

English | 2014 | ISBN: 9780429227103 | 456 pages | True PDF | 36.64 MB

English | 2014 | ISBN: 9780429245046 | 332 pages | True PDF | 35.74 MB

English | 2014 | ISBN: 1479305480 | 154 pages | EPUB | 27.1 MB

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 10.90 GB | Duration: 8h 24m

Advancing Algebra to understand Number theory

What you'll learn
Proof of Zsigmondy's Theorem
Applications of Zsigmondy's Theorem
Lifting the Exponent Lemma
Cyclotomic polynomials
Complex roots of unity
Mobius Inversion
Number theory
Algebra
Requirements
Modular arithmetic with p numbers
Sound algebra skills
Description
The story line that guides us is proving a theorem of Zsigmondy in number theory and seeing how it can be used to solve maths olympiad problems that would otherwise be quite difficult.

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 7.09 GB | Duration: 15h 51m

Topology introduction revisited

What you'll learn
Define a topological space, topology, open set, closed set, continuous function
Understand and use the notion of a base or basis of neighbourhoods
Various universal constructions including product, quotient and subspace topology
Definition chase, basic proofs, solve simple exercises with unfamiliar terms
Requirements
Growth mindset
Abstract thinking and thoughtfulness
Decent short term and long term memory
Experience in abstract algebra and other high level maths will be helpful but not essential
Experience in analysis helpful but not essential
Experience in calculus helpful but not essential
Experience in Linear algebra helpful but not essential
Description
If we have a set of points $X$, how can we make a precise notion of closeness and locality

MP4 | Video: h264, 1280x720 | Audio: AAC, 48 KHzLanguage: English | Size: 2.09 GB | Duration: 1h 36m

Transition from primary to high school geometry

What you'll learn
critical thinking
proof of pythagoras' theorem
triangles
parallel lines
Requirements
concentrate 1hour
Description
This course is designed to go over content that strong primary students can absorb to transition into high school.

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 2.12 GB | Duration: 1h 40m

First stop Yoneda's Lemma

What you'll learn
Objects, morphisms, functors and natural transformations
Universal properties
Yoneda's Lemma
The principle of abstraction and generality
Requirements
Familiarity with sets and functions would help
Familiarity with linear algebra and vector spaces would help more
In principle this could be taught first but slower
Description
Introduces the philosophy and basic results of category theory.

MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHzLanguage: English | Size: 12.90 GB | Duration: 10h 12m

Trainee to Team (TST)

What you'll learn
IMO difficulty
TST difficulty
Senior Olympiad Maths
Algebra
Requirements
Concentrate for 4 hours per day over 2 days
Description
Once you've made it to selection school by doing well in the AMO in early February, which only about 15 do for Senior, you have about two weeks to do the APMO and then about a month to prepare for the Team Selection Test.