Amoeba (mathematics)
In complex analysis, a branch of mathematics, an amoeba is a set associated with a polynomial in one or more complex variables. Amoebas have applications in algebraic geometry, especially tropical geometry. (Wikipedia).
In complex analysis, a branch of mathematics, an amoeba is a set associated with a polynomial in one or more complex variables. Amoebas have applications in algebraic geometry, especially tropical geometry. (Wikipedia).
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
What is Abstract Algebra? (Modern Algebra)
Abstract Algebra is very different than the algebra most people study in high school. This math subject focuses on abstract structures with names like groups, rings, fields and modules. These structures have applications in many areas of mathematics, and are being used more and more in t
From playlist Abstract Algebra
Introduction to AM3 (Further Algebraic Skills & Techniques)
More resources available at www.misterwootube.com
From playlist Formulae and Equations
Number theory and algebra in Asia (a) | Math History | NJ Wildberger
After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory: Pell's equation, the Chinese rema
From playlist MathHistory: A course in the History of Mathematics
Number theory and algebra in Asia (b) | Math History | NJ Wildberger
After the later Alexandrian mathematicians Ptolemy and Diophantus, Greek mathematics went into decline and the focus shifted eastward. This lecture discusses some aspects of Chinese, Indian and Arab mathematics, in particular the interest in number theory (Pell's equation, the Chinese rema
From playlist MathHistory: A course in the History of Mathematics
Tropical Geometry - Lecture 1 - Plane Curves | Bernd Sturmfels
Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)
From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels
Shmuel Weinberger (4/22/21): Musing about robotic football
Title: Musing about robotic football Abstract: What would a robot have to do to get past a bunch of blockers to get to the end zone (or score a goal; the football is general)? I will discuss some issues involving modelling, non-fibrations, speed, information, sensing, and things larger th
From playlist Topological Complexity Seminar
The realm of natural numbers | Data structures in Mathematics Math Foundations 155
Here we look at a somewhat unfamiliar aspect of arithmetic with natural numbers, motivated by operations with multisets, and ultimately forming a main ingredient for that theory. We look at natural numbers, together with 0, under three operations: addition, union and intersection. We will
From playlist Math Foundations
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
Evolution of multicellularity - Lecture 2 by Vidyanand Nanjundiah
ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-
From playlist Living Matter 2018
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 contin
From playlist Abstract Algebra
A First Undergraduate Course in Abstract Algebra
This is an older book on Abstract Algebra. It is called A First Undergraduate Course in Abstract Algebra and it was written by Hillman and Alexanderson. Here is one version https://amzn.to/3ISQLNH Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear https://amzn.to/3BFvcxp (the
From playlist Book Reviews
Unicellular organisms and the evolution of social behaviour - Lecture 1 by Vidyanand Nanjundiah
ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-
From playlist Living Matter 2018
Bitangents to plane quartics - tropical, real and arithmetic count by Hannah Markwig
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is the study of
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
Amoebas: Occasional Brain-Eaters
Yes, they might eat your brain, but there's a lot more to amoebas than that! Follow Journey to the Microcosmos: Twitter: https://twitter.com/journeytomicro Facebook: https://www.facebook.com/JourneyToMicro To support Journey to the Microcosmos on Patreon, visit http://www.patreon.com/jou
From playlist Season 1
9/23/17 Thomas Pollard - Cells on the Move
How does a cell move? What makes a muscle twitch? If you have ever wondered about the molecular motors that let single-celled bacteria swim or make it possible for you to dance, come hear about them from Prof. Tom Pollard, the man who wrote the book on cell biology and motility. Science Sa
From playlist Science on Saturday at Yale
Testate Amoebas: Blobby, Modest Shell Dwellers
A lot of the microbes we show you are completely naked, but the test amoeba is a bit more modest. Follow Journey to the Microcosmos: Twitter: https://twitter.com/journeytomicro Facebook: https://www.facebook.com/JourneyToMicro Support the Microcosmos: http://www.patreon.com/journeytomicr
From playlist Videos You Might've Missed
Cancer, Evolution and the Science of Life – with Kat Arney
Cancer has been with us since the dawn of time, but it was only in the twentieth century that doctors and scientists made any significant progress in understanding and treating it. Kat's book 'Rebel Cell' is available now on Amazon: https://geni.us/qGShaa6 Watch the Q&A: https://youtu.be/5
From playlist Livestreams
Field Definition (expanded) - Abstract Algebra
The field is one of the key objects you will learn about in abstract algebra. Fields generalize the real numbers and complex numbers. They are sets with two operations that come with all the features you could wish for: commutativity, inverses, identities, associativity, and more. They
From playlist Abstract Algebra
Follow Journey to the Microcosmos: Twitter: https://twitter.com/journeytomicro Facebook: https://www.facebook.com/JourneyToMicro Support the Microcosmos: https://www.patreon.com/journeytomicro More from Jam’s Germs: Instagram: https://www.instagram.com/jam_and_germs YouTube: https://www.
From playlist Season 2