Non-Euclidean geometry | Circles | Inversive geometry
Geometry of Complex Numbers: Circle Geometry, Moebius Transformation, Non-Euclidean Geometry is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean geometry. It was written by Hans Schwerdtfeger, and originally published in 1962 as Volume 13 of the Mathematical Expositions series of the University of Toronto Press. A corrected edition was published in 1979 in the Dover Books on Advanced Mathematics series of Dover Publications (ISBN 0-486-63830-8). The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries. (Wikipedia).
Geometry of Complex Numbers (3 of 6: Real Arithmetic)
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From playlist Introduction to Complex Numbers
Basics of Complex Geometry (example questions)
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From playlist Introduction to Complex Numbers
Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
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From playlist Complex Numbers
Some Basic Properties of Complex Numbers
This video describes some of the more basic properties of complex numbers.
From playlist Basics: Complex Analysis
Calculus 2: Complex Numbers & Functions (6 of 28) Geometric Representation
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the geometrical representation of a complex number and it modulus. Next video in the series can be seen at: https://youtu.be/HyTYaotTdU8
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
Set Theory (Part 14a): Constructing the Complex Numbers
Please leave your thoughts and questions below! In this video, we will extend the real numbers to the complex numbers and investigate the algebraic structure of the complex numbers after defining addition and multiplication of these new objects. We will also begin to see how complex numbe
From playlist Set Theory by Mathoma
Calculus 2: Complex Numbers & Functions (2 of 28) What is a Complex Number? Another Look
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what complex numbers looks like vectorially on a Real v Imaginary graph. Next video in the series can be seen at: https://youtu.be/oJkB5WqXxac
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
What are complex numbers? | Essence of complex analysis #2
A complete guide to the basics of complex numbers. Feel free to pause and catch a breath if you feel like it - it's meant to be a crash course! Complex numbers are useful in basically all sorts of applications, because even in the real world, making things complex sometimes, oxymoronicall
From playlist Essence of complex analysis
A brief history of Geometry III: The 19th century | Sociology and Pure Mathematics | N J Wildberger
The 19th century was a pivotal time in the development of modern geometry, actually a golden age for the subject, which then saw a precipitous decline in the 20th century. Why was that? To find out, let's first overview some of the main developments in geometry during the 1800's, includin
From playlist Sociology and Pure Mathematics
Geometry of Complex Numbers (2 of 6: Real vs. Complex)
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From playlist Introduction to Complex Numbers
Machine- Learning the Landscape (Lecture 1) by Yang-Hui He
PROGRAM KAVLI ASIAN WINTER SCHOOL (KAWS) ON STRINGS, PARTICLES AND COSMOLOGY (ONLINE) ORGANIZERS Francesco Benini (SISSA, Italy), Bartek Czech (Tsinghua University, China), Dongmin Gang (Seoul National University, South Korea), Sungjay Lee (Korea Institute for Advanced Study, South Korea
From playlist Kavli Asian Winter School (KAWS) on Strings, Particles and Cosmology (ONLINE) - 2022
Green Geometry, the Standard Hyperbola, and Mercator's formula | Algebraic Calculus One | Wild Egg
The usual complex numbers and their connections with the circular functions cos, sin, tan etc have relativistic analogs, which are crucial in understanding both the corresponding hyperbolic functions cosh, sinh, tanh etc as well as the log and exp functions. The former are associated to th
From playlist Old Algebraic Calculus Videos
The Simplifying Synthesis Ultimate Guide To Bonding In d-Metal Coordination Complexes
An (almost) complete inorganic chemistry guide to the bonding in d-metal coordination complexes. Section 1 describes the basic structure of inorganic metal complexes, ligand-metal interactions and isomerism, Section 2 deals with Crystal Field Theory, Ligand Field Stabilization Energy, Mag
From playlist Ultimate Guides
Complex Numbers and Addition Formulas | Algebraic Calculus One | Wild Egg
Circle geometry and related formulas in calculus are closely connected to the algebra of complex numbers. In particular the all-important rational parametrization of the unit circle has a beautiful interpretation in terms of a quadrance normalization of a square, which gives the natural as
From playlist Old Algebraic Calculus Videos
Euclidean and Algebraic Geometry, David Cox [2014]
Slides for this talk: https://drive.google.com/file/d/1s87shlFPPVolx1dV7H4CBc1DjDrh0piR/view?usp=sharing David Cox Amherst College This talk will survey some examples, mostly geometric questions about Euclidean space, where the methods of algebraic geometry can offer some insight. I wil
From playlist Mathematics
Michael Atiyah, What is a Spinor
From playlist Number Theory
Sir Michael Atiyah, What is a Spinor ?
Sir Michael Atiyah, University of Edinburgh What is a Spinor?
From playlist Conférence en l'honneur de Jean-Pierre Bourguignon
Tropical Geometry - Lecture 2 - Curve Counting | 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
Calculus 2: Complex Numbers & Functions (1 of 28) What is a Complex Number?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, graphically and mathematically, a complex number; and how it's used in electric circuits, Fourier transforms, and Euler formula. Next video in the series can be seen at: https://yout
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
Chemistry 107. Inorganic Chemistry. Lecture 22.
UCI Chemistry: Inorganic Chemistry (Fall 2014) Lec 22. Inorganic Chemistry -- Coordination Chemistry I: Coordination Geometries View the complete course: http://ocw.uci.edu/courses/chem_107_inorganic_chemistry.html Instructor: Alan F. Heyduk. License: Creative Commons CC-BY-SA Terms of Us
From playlist Chem 107: Week 8