J. Hyam Rubinstein is a prominent mathematician known for his contributions to the field of mathematics, particularly in topology and geometric analysis. He has conducted significant research on 3-manifolds, knot theory, and geometric structures. Rubinstein has also been involved in mathematical education and has published various papers and works related to his areas of expertise.
James Munkres is a prominent American mathematician known primarily for his work in topology and related areas of mathematics. He is best known for his book "Topology," which is widely used as a textbook in undergraduate and graduate courses. Munkres has also written significant texts on other mathematical subjects, including linear algebra and mathematical analysis. In addition to his contributions through textbooks, Munkres has made various contributions to academic research in topology and has been influential in the teaching and dissemination of mathematics.
Jean-Claude Sikorav is a French mathematician known for his contributions to the field of mathematics, particularly in topology and functional analysis. He has worked on various topics, including fixed point theory and the mathematical modeling of dynamical systems. However, there may be limited widely available information on his work outside specialized academic circles.
Jennifer Hom is a mathematician known for her work in the fields of topology, geometry, and mathematical visualization. She earned her Ph.D. from Harvard University, where she studied under the supervision of Robion Kirby. Hom is known for her contributions to knot theory and related areas, including work on Heegaard Floer homology and gauge theory. In addition to her research, she is also involved in mathematics education and outreach, promoting engagement and interest in mathematics among students and the public.
Joan Birman is a notable American mathematician recognized for her contributions to the fields of topology and geometry, particularly in relation to knot theory. Born on May 18, 1927, she was influential in advancing the study of mathematical knots, which has applications in various scientific disciplines, including biology and physics. Birman is also known for her work on braid groups and their connections to other areas of mathematics.
Jonathan Rosenberg is an American mathematician known for his contributions to various areas in mathematics, particularly in algebraic topology, geometric topology, and the theory of operator algebras. He has worked extensively on topics related to K-theory, as well as the interactions between topology and algebra. Rosenberg has authored or co-authored several research papers and books, and his work often explores the connections between different mathematical disciplines. He is also known for his teaching and mentorship in the field of mathematics.
Karol Borsuk was a renowned Polish mathematician known for his contributions to topology, set theory, and functional analysis. He was particularly noted for his work on the Borsuk-Ulam theorem, which relates to the properties of continuous mappings in topology. In addition to his mathematical work, Borsuk was also active in the academic community and played a significant role in developing mathematics in Poland, especially post-World War II.
Norman Steenrod (1910-1971) was a prominent American mathematician known for his contributions to algebraic topology. He is particularly famous for his work on homology and cohomology theories, as well as the Steenrod operations, which are a set of cohomological operations that play a significant role in the study of topological spaces. Steenrod's work helped to formalize many concepts in topology and laid the groundwork for later developments in the field.
Peter B. Kronheimer is a mathematician known for his work in the fields of geometry and topology, particularly in relation to 3-manifolds and gauge theory. He has made significant contributions to the understanding of the topology of knots and links, as well as in the development of Heegaard Floer homology, which is a powerful tool in low-dimensional topology. Kronheimer is a faculty member at Harvard University and has published numerous research papers on these topics.
Peter Landweber is a mathematician known for his work in the field of mathematical biology, particularly in the areas of evolutionary theory and computational biology. His research often involves the use of mathematical models to better understand biological processes and evolutionary dynamics.
R. H. Bing, or Robert Lee Bing, was an influential American mathematician known for his work in topology, a branch of mathematics focused on the properties of space that are preserved under continuous transformations. He made significant contributions to the field, including the introduction of concepts such as Bing's decomposition, which pertains to the study of non-compact surfaces and their structures.
Ralph Fox could refer to several different individuals, places, or concepts, depending on the context. However, a notable figure by that name is Ralph Fox (1903–1958), an English writer and member of the Communist Party, known for his works on social issues, as well as his involvement in leftist politics. If you are referring to a different Ralph Fox or a specific context (e.g., a character in a film, a brand, etc.
Richard Lashof is an American scientist and professor known for his work in the field of environmental science, particularly focusing on the impacts of climate change and air quality. He has been involved with various organizations and initiatives aimed at addressing issues related to environmental sustainability and public health.
Robert Lee Moore (1882–1974) was an American mathematician known for his significant contributions to topology and the foundations of mathematics. He is perhaps best known for his work in point-set topology and for being one of the pioneers in the development of homotopy theory. Moore was a professor at the University of Texas at Austin, where he influenced many students and researchers in the field.
Ronald Brown is a prominent mathematician known for his contributions to the fields of algebraic topology and category theory. He has worked extensively on concepts related to higher-dimensional algebra, particularly in the context of homotopy theory and topological spaces. One of his notable contributions is the development of the theory of "cubical sets" and "cubes," which are useful in studying the topology of spaces.
Solomon Lefschetz (1884–1972) was a prominent mathematician known for his contributions to various fields, including algebraic topology, algebraic geometry, and differential equations. He is particularly famous for developing what is now known as Lefschetz duality, which relates the topological properties of a space to its cohomology.
Thomas Goodwillie is a mathematician known for his work in the fields of topology and homotopy theory. He is particularly noted for his contributions to the theory of iterated loop spaces and for the development of the Goodwillie calculus, which is a framework for studying the relationships between polynomial functors in the category of topological spaces.
Pinned article: ourbigbook/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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - 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