Cambridge mathematical reading list: https://www.maths.cam.ac.uk/sites/www.maths.cam.ac.uk/files/pre2014/undergrad/admissions/readinglist.pdf

GENERAL

Flatland – Edwin Abbott

Fermat’s last theorem – Simon Singh

A Mathematician’s Apology – G.H. Hardy

CALCULUS

Early transcendentals – James Stewart

Calculus – Michael Spivak

LINEAR ALGEBRA

Elementary Linear Algebra – Howard Anton

DIFFERENTIAL EQUATIONS:

Partial Differential Equations an introduction – Walter Strauss

James Nearing, Mathematical Tools for Physics: http://www.physics.miami.edu/~nearing/mathmethods/

COMPLEX ANALYSIS:

Visual complex analysis – Tristian Needham

OTHER

Principles of mathematical analysis – Walter Rudin

Analysis I – Terence Tao

Algebraic topology – Allen Hatcher

Mathematical methods in the physical sciences – Mary Boas

Abstract algebra – Dummit and Foote

Discrete math and applications – Kenneth Rosen

How to think like a mathematician – Houston

This video is not sponsored but I recommend learning concepts on Brilliant.org/Tibees

See also the John Baez page for leaning math: http://math.ucr.edu/home/baez/books.html#math

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My list is by no means exhaustive, they are just the books that I have encountered. The hardest part of making a video like this is trying to pronounce all the author's names correctly so my apologies in advance for any that I said wrong 😛 Also in Australia we tend to say 'maths' instead of 'math' and there is very little consistency in which I choose to use.

Thank you sister for the information

Flatland! yay! I also love the planiverse! its incredible.

I recommend "Euler's Gem: The Polyhedron Formula and the Birth of Topology" to anyone about to take algebraic topology for the first time. It puts it in a historical context. The Greeks began classifying the polyhedra and mathematicians over the centuries extended that idea and extended that idea and arrived at homology and homotopy which math grad students study today and is an area of active research.

Mathematics has helped my life and geometry fascinates me. 🙂

I am a Maths teacher, I think 80-90% of the population will find Maths rather difficult or boring. For children in the western countries, they need to find this subject interesting or fun for them to learn whereas in the east the children are or less compelled to learn like I do. In the end, I learnt something and I much appreciated it even though I learnt it the hard way.

More importantly being competent in Maths contribute to me being what I am and help me to think in a more logical manner or clear thinking which most young people I am afraid lack.

Good on you to produce this video.

Spivak also has a very nice multi variable real analysis text titled Calculus on Manifolds.

How many years you study before graduation?

I have been going through Understanding Analysis (Abbott) and Linear Algebra Done Right (Axler). These are good for me because while I have a good engineering math background, I never took basic higher level math classes (Analysis, Algebra, etc).

I don't need books on math anymore cuz I swallowed a scientific calculator…and that luckily got me into contract with Marvel studios!

i would love a video, you giving a quick summary on the different big math topics or areas just to get a feel of what you guys study in a math major…

She has the same accent as Amy Macdonalds does.