#Algebraic Geometry

In this video we talk about algebraic curves, affine space, projective space, and the projectivization of an affine curve, with a few examples! #math #geometry #algebraicgeometry #curves #projectiveplane #stem

Jean Pierre Serre appreciation post - The work of Jean-Pierre Serre represents an important breakthrough in at least four mathematical areas: algebraic topology, algebraic geometry, algebra, and number theory. His outstanding mathematical achievements have been a source of inspi- ration for many mathematicians. His contributions to the field were recognized in 2003 when he was awarded the Abel Prize by the Norwegian Academy of Sciences and Letters, presented on that occasion for the first time. #jeanpierreserre #algebraicnumbertheory #alexandergrothendieck #algebraictopology #algebraicgeometry #algebra

Algebraic Surface

Geometry is the branch of mathematics that explores the properties, relationships, and measurements of shapes, sizes, and spatial configurations. Rooted in ancient civilizations like Egypt and Greece, geometry began as a practical tool for land measurement and evolved into a profound system of abstract reasoning. It studies points, lines, angles, surfaces, and solids, revealing how they interact in both two-dimensional and three-dimensional space. Euclidean geometry, based on the axioms of the Greek mathematician Euclid, forms the foundation of classical geometry, while non-Euclidean geometries, such as hyperbolic and spherical, challenge and expand our understanding of space itself. Geometry is not only essential in architecture, engineering, and art but also plays a crucial role in modern physics, computer graphics, and cosmology, offering a language to describe the structure of the universe. #sciencesubtlety #science #mathematics #viralreels #viral #explorepage #explore #fypシ #follow #foryoupage #physics #Biology #chemistry

The best 🤩#geo #geometry #best #math #sat #question #study #studygram #school #education #learn #yourbigbraintutor

Have you ever felt that Linear Algebra floats a bit too far from intuition, almost abstract for the sake of it?  Let’s bring it back down to earth: geometry, color, and one clear guiding idea.  The First Isomorphism Theorem isn’t an abstract trick — it’s a story you can actually see. 📐✨ Any linear map f:V→W can be taken apart into three essential moves. Here we visualize them with a color code that isn’t decorative, but logical. 1️⃣ Projection (π\piπ) We start from the original space V (🔵). We identify vectors that differ by an element of the kernel and build the quotient space V/ker⁡(f) Geometrically, arrows stop mattering: what used to be different directions collapses into points (equivalence classes). 2️⃣ Isomorphism (f~) This is the heart of the story, the bridge (🟢). This is where the “real” transformation happens. The classes of the quotient are sent directly to the image of fff. No information is lost: since the determinant is ≠0\neq 0=0, the shape may deform, but the structure — the volume — is preserved. 3️⃣ Inclusion (iii) Finally, we place that result inside the target space W (🔴). What were points in the image now germinate again as vectors living in the whole codomain. 🌟 The magic of commutativity The yellow vector v says it all without words: going the long way around the bottom is exactly the same as applying f directly across the top. f=i∘f~∘π The theorem doesn’t say “something complicated.” It says that every linear map can be understood as collapsing, deforming, and embedding. Mathematics isn’t only calculated — it’s also seen. Does this color code help you follow the flow of the transformation? I’d love to read your thoughts 👇 MerlinoMath #maths #math #physics #linearalgebra #merlinomath

"The beauty of mathematics lies in its simplicity. It is like a delicate poem." — Bertrand Russell #math #mathematics #matematik

Translating rotation into waves. The unit circle is the engine of trigonometry. As the angle rotates, the Sine, Cosine, and Tangent curves emerge perfectly in sync. Math isn't just calculated; it is seen. ■ Q.E.D. #trigonometry #math #mathvisuals

Geometry is the branch of mathematics that studies shapes, sizes, and the properties of space. From triangles and circles to dimensions and curvature, it explains how forms fit and interact. Used in art, architecture, and physics, geometry turns spatial reasoning into logic—revealing the structure behind both nature and design.

#mathematics #geometry #matematik #geometri #followformore

#mathematics #geometry #matematik #geometri #followformore

this is gaussian elimination. like idk it just easily makes sense by graphing it. i’d rather see the visualization before the computations. #math #linearalgebra