Spherical geometry is a branch of mathematics that deals with geometric shapes and figures on the surface of a sphere, as opposed to the flat surfaces typically studied in Euclidean geometry. It is a non-Euclidean geometry, meaning that it does not abide by some of the postulates of Euclidean geometry, particularly the parallel postulate.
Pappus of Alexandria was a Greek mathematician who lived during the 4th century AD, in the Roman province of Egypt. He is best known for his work "Collection," a compendium of Greek mathematics that preserves and elaborates on the contributions of earlier mathematicians, particularly in the fields of geometry and number theory. Pappus's "Collection" is divided into several books, discussing various topics such as projective geometry, mechanics, and mathematical theory.
Bjorn Poonen is a mathematician known for his work in number theory, especially in the areas of arithmetic geometry, algebraic geometry, and the arithmetic of elliptic curves. He has contributed to various advances in the understanding of rational points on algebraic varieties and has worked on topics related to the Birch and Swinnerton-Dyer conjecture, an important conjecture in number theory that connects the number of rational points on an elliptic curve to the behavior of an associated L-function.
Harold Scott MacDonald Coxeter (1907–2003) was a prominent British mathematician known for his work in the field of geometry, particularly in the study of polytopes, tessellations, and higher-dimensional spaces. He made significant contributions to several areas of mathematics, including topology and group theory. Coxeter is perhaps best known for his research on regular polytopes and the classification of geometric figures in various dimensions.
Peter McMullen could refer to different individuals depending on the context. One well-known Peter McMullen is a British scientist recognized for his work in mathematics, particularly in the field of topology and geometric group theory. He might also be associated with various other fields or industries. Without more specific context, it’s difficult to pinpoint exactly which Peter McMullen you are referring to.
Alicia Boole Stott was an Irish mathematician known for her work in geometry and her contributions to the field of mathematics during the late 19th and early 20th centuries. Born in 1860 in Dublin, Ireland, she made significant advancements in the study of higher-dimensional polytopes and was particularly interested in the geometry of four-dimensional spaces. Stott is best known for her work in the visualization of complex geometric figures, including the regular polytopes in four dimensions.
Christiaan Huygens (1629–1695) was a Dutch mathematician, physicist, and astronomer who made significant contributions to various fields of science. He is best known for his work in optics, mechanics, and the study of celestial bodies. Some of Huygens' notable achievements include: 1. **Wave Theory of Light**: Huygens proposed that light behaves as a wave rather than as a particle, a revolutionary idea at the time.
*Inventions* is a collection of works by the Dutch scientist and inventor Christiaan Huygens, published in 1673. It showcases his contributions to various fields, particularly in mechanics, timekeeping, and optics. Huygens is best known for his work on the wave theory of light and the development of the pendulum clock, which significantly improved the accuracy of timekeeping.
The Parallel Axis Theorem is a concept in physics and engineering, particularly in the area of mechanics, that relates the moment of inertia of a rigid body about an axis to the moment of inertia about a parallel axis that passes through the center of mass of the body.
Daniel Pedoe (1910–2018) was a notable British mathematician and author known for his contributions to geometry and mathematical education. He was particularly recognized for his work in the field of mathematical writing and pedagogy. Pedoe authored several books, including "Geometry: A Comprehensive Course," which explores various aspects of geometry, and he was known for his ability to present complex mathematical concepts in an accessible manner. He also had a significant interest in the historical development of mathematics and its philosophical implications.
Jorge E. Hirsch is an Argentine-American physicist known for his work in condensed matter physics and his development of the Hirsch index, a metric used to measure the productivity and citation impact of a researcher’s publications. The Hirsch index (h-index) combines both the number of publications and the number of citations to provide a single number that reflects the scientific output of a researcher. It has become a widely used tool in academia to assess research performance.
Edgar Odell Lovett (1855–1933) was an American mathematician and educator, best known for his role as the first president of Rice University in Houston, Texas. He served as president from 1912 until 1946 and was pivotal in shaping the institution's early development and academic reputation. Lovett was notable for his efforts to establish Rice as a prominent research university and for promoting a strong emphasis on science and engineering education.
Ernst Kötter does not appear to be a widely recognized figure, concept, or entity in historical records or current events from the data available up to October 2023. It's possible that he might be a less well-known individual or a fictional character, or new information may have emerged after my last update.
The Heinz Hopf is typically referred to in the context of topology and algebraic topology, particularly in connection with the "Hopf fibration." The Hopf fibration is a significant concept that provides a way to construct complex projective spaces and relates different mathematical spaces in a structured manner. Named after the German mathematician Heinz Hopf, this study encompasses areas of interest such as fiber bundles and homotopy theory.
Ott-Heinrich Keller was a notable German mathematician recognized for his contributions to various fields, particularly in the areas of number theory and algebra. He is most famous for his work on the development of the "Keller’s conjecture," which relates to the arrangement and properties of certain mathematical constructs. Additionally, Keller's work has influenced various aspects of theoretical mathematics and its applications.
Stanisław Gołąb is a distinguished Polish linguist and professor, known for his contributions to the field of linguistics, particularly in areas related to language and methodology. He may also refer to a particular concept, theory, or work associated with him within the academic discourse.
Pinned article: Introduction to the OurBigBook Project
Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
Intro to OurBigBook
. Source. We have two killer features:
- topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculusArticles of different users are sorted by upvote within each article page. This feature is a bit like:
- a Wikipedia where each user can have their own version of each article
- a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.Figure 1. Screenshot of the "Derivative" topic page. View it live at: ourbigbook.com/go/topic/derivativeVideo 2. OurBigBook Web topics demo. Source. - local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 3. Visual Studio Code extension installation.Figure 4. Visual Studio Code extension tree navigation.Figure 5. Web editor. You can also edit articles on the Web editor without installing anything locally.Video 3. Edit locally and publish demo. Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.Video 4. OurBigBook Visual Studio Code extension editing and navigation demo. Source. - Infinitely deep tables of contents:
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact





