Ernst Witt (1911–1991) was a prominent German mathematician known primarily for his work in algebra and group theory. He made significant contributions to the study of algebraic groups and related areas. Witt is perhaps best known for the development of the "Witt decomposition," which provides a way to decompose certain bilinear forms, and the "Witt hypothesis," related to the structure of certain types of algebraic groups.
In algebraic geometry, the term "pseudo-canonical variety" often refers to a type of algebraic variety whose canonical class behaves in a particular way. While the term itself may not be universally defined in all texts, it is sometimes used in the context of the study of varieties with singularities, particularly in relation to the minimal model program (MMP) and the study of Fano varieties.
Alexander Grothendieck (1928–2014) was a highly influential French mathematician, renowned for his groundbreaking work in algebraic geometry, homological algebra, and number theory. He is often considered one of the most important mathematicians of the 20th century. Grothendieck's contributions include the development of a new way of thinking about algebraic geometry through the use of schemes, a concept that generalized classical algebraic varieties.
Bill Casselman is a mathematician known for his work in the field of mathematics, particularly in analysis and number theory. He has made significant contributions to mathematical education and has created a variety of online resources, including mathematical puzzles and explanations. He has a popular website featuring mathematical problems, discussions, and insights aimed at both students and educators. Additionally, Casselman was involved in developing mathematical software and has published academic papers.
Carolyn Yackel is a mathematician known for her work in the field of mathematics education, particularly in the areas of topology and mathematics communication. She has made significant contributions to the outreach and promotion of mathematical learning and understanding. Yackel is also known for her research in mathematics education, exploring how people learn math and how teaching practices can be improved.
Bartel Leendert van der Waerden (1903–1996) was a prominent Dutch mathematician known for his work in abstract algebra, particularly in the areas of algebraic notation, number theory, and combinatorics. He is perhaps best known for van der Waerden's theorem in combinatorics, which concerns the existence of certain arithmetic progressions in sets of natural numbers.
Colin McLarty is a mathematician known for his work in the philosophy of mathematics and mathematical logic. He is particularly recognized for his contributions to the foundations of mathematics and the connections between mathematical practice and philosophical inquiry. McLarty has written extensively on topics such as the role of diagrams in mathematics, the nature of mathematical proof, and the interpretation of mathematical theories.
Douglas Northcott is best known as a British former child actor who gained fame in the late 1950s and 1960s. He starred in films and television series during that time, often recognized for his performances in roles that showcased his talent at a young age. However, he is not as widely known in contemporary discussions, and information about his later life or career might be limited.
Erland Samuel Bring (1735–1798) was a Swedish mathematician and astronomer known for his contributions to various fields, including mathematics, physics, and mechanics. He is particularly noted for his work on mathematical analysis and differential equations. Bring is recognized for his involvement in the development of mathematical concepts that are foundational to modern mathematics. One of his notable contributions is the "Bring radical," which is associated with solving certain polynomial equations.
Eugene Dynkin is a notable mathematician recognized for his contributions to various fields, particularly in probability theory, stochastic processes, and mathematical finance. He is renowned for the development of Dynkin's theorem, which connects martingales (a type of stochastic process) with time-homogeneous Markov processes. Dynkin has also contributed to the study of Dynkin games, which are a type of strategic game theory problem that involves players making decisions over time under uncertainty.
François Viète (also known as Francis Vieta) was a French mathematician born on February 5, 1540, and died on February 23, 1603. He is best known for his contributions to algebra, particularly for developing a systematic approach to the application of algebraic methods to geometry, and for introducing new notations that significantly advanced mathematical thinking.
George Bergman is a mathematician known for his work in the fields of topology and combinatorial set theory. He is particularly recognized for his contributions to the study of large cardinals and their implications in set theory. Additionally, Bergman has made significant contributions to algebra, particularly in relation to group theory and universal algebra.
As of my last knowledge update in October 2021, there isn't a widely recognized figure, concept, or entity known as "George Jerrard." It's possible that it could refer to a private individual, a fictional character, or a topic that wasn't notable enough to be documented in widely available sources. If "George Jerrard" has gained significance or relevance after that date, I wouldn't have that information.
Gordana Todorov does not appear to be a widely recognized public figure up to my last knowledge update in October 2023. It's possible that she could be a private individual, an emerging figure in a specific field, or someone whose prominence has arisen after that date. If you have more specific context regarding her background, profession, or achievements, I may be able to provide more tailored information. Otherwise, please check current sources for the latest information.
Helge von Koch is known for his contributions to mathematics, particularly in the field of analysis and geometry. He is best recognized for the Koch snowflake, a famous fractal curve that is constructed by repeatedly adding smaller equilateral triangles to the sides of an initial equilateral triangle. This geometric figure is notable for having an infinite perimeter while enclosing a finite area, exemplifying concepts of infinity in a tangible way.
Jessie Marie Jacobs is not widely known in public or historical records, so it's possible that she could be a private individual or a notable figure in a niche context. If you have more specific information or context about what you're looking for regarding Jessie Marie Jacobs, I would be happy to help further. It could relate to literature, arts, or perhaps a local figure or event. Please provide more details!
Ibn al-Banna' al-Marrakushi (also known simply as Ibn al-Banna) was a prominent Islamic scholar, mathematician, and astronomer from Morocco who lived during the 14th century, specifically around the years 1256 to 1321. He is best known for his contributions to mathematics, particularly in algebra, and for his work in astronomy.
Israel Nathan Herstein (1908–2000) was a notable American mathematician, primarily known for his contributions to abstract algebra, particularly in the areas of ring theory and the theory of groups. He served as a professor at various institutions, including the University of Illinois at Chicago. Herstein is also known for his influential textbooks, which are widely used in the study of algebra. His work has had a significant impact on the field of mathematics, particularly in education and research.
László Rédei is a prominent mathematician known for his contributions to various areas of mathematics, particularly in the fields of algebra and combinatorics. He is often recognized for his work on the theory of finite fields and group theory. Rédei’s research has been influential, leading to developments in both abstract algebra and applications in coding theory and cryptography. In addition to his research, Rédei has also been involved in teaching and academic mentorship, contributing to the education of future mathematicians.
Lodovico Ferrari (1522–1565) was an Italian mathematician known primarily for his contributions to algebra. He is best known for solving the general quartic equation, a significant achievement in the history of mathematics. Ferrari was a student of Gerolamo Cardano, another prominent mathematician, and he worked on the problems of solving polynomial equations. Ferrari's work laid the groundwork for further developments in algebra and influenced many later mathematicians.
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





