Definitions, specification and interpretation | Arithmetic and Geometry Math Foundations 44
We discuss important meta-issues regarding definitions and specification in mathematics. We also introduce the idea that mathematical definitions, expressions, formulas or theorems may support a variety of possible interpretations. Examples use our previous definitions from elementary ge
From playlist Math Foundations
An introduction to algebraic curves | Arithmetic and Geometry Math Foundations 76 | N J Wildberger
This is a gentle introduction to curves and more specifically algebraic curves. We look at historical aspects of curves, going back to the ancient Greeks, then on the 17th century work of Descartes. We point out some of the difficulties with Jordan's notion of curve, and move to the polynu
From playlist Math Foundations
What is a number? | Arithmetic and Geometry Math Foundations 1 | N J Wildberger
The first of a series that will discuss foundations of mathematics. Contains a general introduction to the series, and then the beginnings of arithmetic with natural numbers. This series will methodically develop a lot of basic mathematics, starting with arithmetic, then geometry, then alg
From playlist Math Foundations
What exactly is a circle? | Arithmetic and Geometry Math Foundations 28 | N J Wildberger
Moving beyond points and lines, circles are the next geometrical objects we encounter. Here we address the question of how best to introduce this important notion, strictly in the setting of rational numbers, and without metaphysical waffling about `infinite sets.' This lecture is part of
From playlist Math Foundations
AlgTopReview: An informal introduction to abstract algebra
This is a review lecture on some aspects of abstract algebra useful for algebraic topology. It provides some background on fields, rings and vector spaces for those of you who have not studied these objects before, and perhaps gives an overview for those of you who have. Our treatment is
From playlist Algebraic Topology
The basic framework for geometry (II) | Arithmetic and Geometry Math Foundations 24 | N J Wildberger
We discuss parallel and perpendicular lines, and basic notions relating to triangles, including the notion of a side and a vertex of a triangle. This lecture is part of the MathFoundations series, which tries to lay out proper foundations for mathematics, and will not shy away from discus
From playlist Math Foundations
Geometry - Ch. 1: Basic Concepts (2 of 49) Defined terms
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and explain terms of point, line, plane, line segment, ray, opposite rays, intersections. Next video in this series can be seen at: https://youtu.be/fd8Reudp3gY
From playlist GEOMETRY CH 1 BASIC CONCEPTS
Algebra - Ch. 0.5: Basic Concepts (1 of 26) An Overview
Visit http://ilectureonline.com for more math and science lectures! In this video I will give an overview of the basic concepts of algebra. I will review fractions operations of reducing, multiplying, dividing, adding, subtracting, and simplifying fraction. I will review number sets of re
From playlist ALGEBRA 0.5 BASIC CONCEPTS
Geometry - Basic Terminology (1 of 34) Definition of Points and Lines
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of points and lines. Next video in the Basic Terminology series can be seen at: http://youtu.be/kziFbJMWjUY
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Learn Any Math And Science Subject
In this video I will show you some books that you can use to learn almost any math and science subject. These books are all part of the Schaum's Outline series so they have tons of worked examples which makes them great for self-study. Each book also covers more topics than what you would
From playlist Book Reviews
The Math Behind Font Rasterization | How it Works
#SoME Join the Discord: https://discord.gg/4tHeAkxNg7 If you have ever wondered how a font is rasterized, look no further. In this video I go into depth about the necessity for font rasterization, the math behind it, and how we convert the math to pixels on the screen. I also go over how
From playlist Summer of Math Exposition Youtube Videos
In this video I do a speed run of some of my math books. I go through math books covering algebra, trigonometry, calculus, advanced calculus, real analysis, abstract algebra, differential geometry, set theory, discrete math, finite math, graph theory, combinatorics, number theory, galois t
From playlist Book Reviews
In this video I will give you the resources you need to learn data science from zero knowledge. We will discuss several programming books and math books that are perfect for beginners who want to acquire the skills to become a data scientist. In particular we will look at books on R, Pytho
From playlist Book Reviews
The Seduction of Curves: The Lines of Beauty That Connect Mathematics, Art and The Nude
Oxford Mathematics Public Lectures: Allan McRobie - The Seduction of Curves: The Lines of Beauty That Connect Mathematics, Art and The Nude There is a deep connection between the stability of oil rigs, the bending of light during gravitational lensing and the act of life drawing. To unde
From playlist Oxford Mathematics Public Lectures
Hierarchy of Results/Direct Proof
We look at different types of mathematical results such as Theorems, Propositions, Corollaries, and Lemmas. Next, we explore the direct method of proof, giving an outline and some examples. Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespr
From playlist Proof Writing
Learn Mathematics from START to FINISH (2nd Edition)
In this video I will show you how to learn mathematics from start to finish. I will give you three different ways to get started with mathematics. I hope this video helps someone. Here are the books Elementary Algebra https://amzn.to/3S7yG0Y Pre-Algebra https://amzn.to/3TpW8HK Discrete Ma
From playlist Book Reviews
Epicycles, complex Fourier series and Homer Simpson's orbit
NEW (Christmas 2019). Two ways to support Mathologer Mathologer Patreon: https://www.patreon.com/mathologer Mathologer PayPal: paypal.me/mathologer (see the Patreon page for details) Today’s video was motivated by an amazing animation of a picture of Homer Simpson being drawn using epic
From playlist Fourier
Schaum's Outline of Finite Mathematics by Lipschutz #shorts
Schaum's Outline of Finite Mathematics by Lipschutz #shorts This is the book on amazon: https://amzn.to/2GiLjaB (note this is my affiliate link) Book Review #shorts: https://www.youtube.com/playlist?list=PLO1y6V1SXjjPqMhU21NyGnwVnlF0UIheP Full Book Reviews: https://www.youtube.com/playl
From playlist Book Reviews #shorts
Geometry: Ch 5 - Proofs in Geometry (2 of 58) Definitions
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and give examples of definitions. Next video in this series can be seen at: https://youtu.be/-Pmkhgec704
From playlist GEOMETRY 5 - PROOFS IN GEOMETRY
We outline the method of direct proof and give a few examples of statements that are proved using this method.
From playlist Abstract Algebra