Jonathan Partington is a mathematician known for his work in the field of mathematics, particularly in analysis and topology. He is also recognized for his contributions to the educational aspect of mathematics, often sharing his insights through lectures, publications, and online resources.
Jonathan Bennett is a mathematician known for his work in various areas of mathematics, particularly in the fields of number theory and combinatorics. Depending on the context, he may also be recognized for contributions in related fields or for specific theorems or problems he has addressed. However, it’s important to clarify that there may be multiple individuals named Jonathan Bennett in academia.
John Toland (born 1670, died 1722) was an Irish mathematician, philosopher, and writer known for his contributions to various fields, including mathematics and the philosophy of science. He was also associated with the early development of the concept of mathematical analysis. Toland is perhaps best known for his philosophical work rather than strictly mathematical contributions. He was a proponent of empiricism and skepticism and engaged in discussions about the nature of knowledge and the limits of human understanding.
John Horvath is a mathematician known for his contributions to various areas of mathematics, including functional analysis, partial differential equations, and mathematical logic. His work often involves applied mathematics and theoretical research. Specific details about his birth, education, and major works may not be widely published, but he may be recognized in academic circles for specific contributions to mathematical theory and practice. For more in-depth information about his research and publications, it's best to consult academic databases or his professional profiles on institutional websites.
John Edensor Littlewood (1885–1977) was an influential English mathematician known for his contributions to various areas of mathematics, particularly in analysis, number theory, and mathematical logic. He is well-remembered for his collaboration with G.H. Hardy, with whom he co-authored several important works, including the famous "Hardy-Littlewood Method," which involves techniques in analytic number theory.
John B. Conway is a prominent mathematician known for his work in various areas of mathematics, particularly in functional analysis and topology. He has authored several influential texts, most notably in the fields of complex analysis and operator theory. His books are widely used in graduate courses and are respected for their clarity and depth.
Johannes Boersma could refer to various individuals, and it's important to have context to provide a specific answer. One notable person by that name is a Dutch ecologist known for his work in behavioral ecology, particularly concerning the evolution of animal behavior and mating systems.
Johann Friedrich Hennert was a notable 18th-century German artist, primarily recognized for his work as a painter and engraver. He was known for his contributions to the art world during the late Baroque and early Neoclassical periods. Hennert produced a range of artworks, including portraits, historical scenes, and mythological depictions. His style often reflected the artistic trends of his time, characterized by a blend of detailed realism and dramatic compositions.
Johan de Witt (1625–1672) was a significant Dutch statesman and a prominent figure in the early history of the Netherlands during the 17th century, a period known as the Dutch Golden Age. He served as the Grand Pensionary of Holland, which made him one of the leading political figures in the Dutch Republic.
Joaquim Gomes de Souza is a Brazilian writer and intellectual known primarily for his contributions to literature and cultural discourse in Brazil. However, there may be several individuals with that name, or it could refer to historical or cultural figures who are less widely recognized.
Jesús Ildefonso Díaz is a Spanish poet and writer known for his contributions to contemporary literature. His work often explores themes of identity, memory, and the human experience. He is recognized for his innovative use of language and form, drawing on various influences while maintaining a distinctive voice.
Jesse Douglas was an American mathematician known for his contributions to the field of mathematics, particularly in complex analysis and functional analysis. He is perhaps best known for being one of the winners of the first Clay Mathematics Institute's prize for solving the Riemann Hypothesis, although this claim is often confused with other mathematicians, as the Riemann Hypothesis remains unproven.
Jerzy Neyman (1894–1981) was a prominent Polish statistician known for his contributions to the field of statistics, particularly in the areas of hypothesis testing and statistical inference. He is most famous for developing the Neyman-Pearson lemma, which provides a foundational framework for hypothesis testing.
Jeanne LaDuke is a prominent figure in the field of education, particularly known for her expertise in mathematics education and her work in teacher education. She has contributed significantly to discussions on effective teaching practices, curriculum development, and professional development for educators. LaDuke is also recognized for her involvement in initiatives aiming to improve math literacy among students.
Jean Leray (1906-1998) was a prominent French mathematician known for his contributions to various areas of mathematics, particularly in topology and functional analysis. He is perhaps best known for his work in the field of linear partial differential equations, where he was influential in the development of the theory of distributions (generalized functions). Leray's most notable contributions include the Leray-Schauder theorem in functional analysis and the Leray measure in topology.
Jean Favard is a French mathematician known for his work in the field of analysis, particularly for his contributions to the theory of functions of several variables, including the Favard theorem related to set functions and measures. He has also made impacts in various areas of real analysis and topology.
Jean Delsarte (1811–1871) was a French musician, actor, and teacher, best known for his work in the field of expressive movement and gesture, which has had a lasting influence on the performing arts, particularly in acting and dance. He developed a system of physical expression that aimed to convey emotions and character through body language, gestures, and posture.
Jean Bourgain was a renowned Belgian mathematician known for his significant contributions to various areas of mathematics, particularly in analysis, probability, and functional analysis. Born on February 28, 1954, and passing away on December 22, 2018, he was a professor at the Institute for Advanced Study in Princeton, New Jersey. Bourgain made groundbreaking advancements in topics such as harmonic analysis, partial differential equations, and high-dimensional geometry.
Jean-Michel Bony is not a widely recognized figure in popular media or history as of my last knowledge update in October 2021. It’s possible that he could be a professional in a specific field, such as academia, business, or arts, but there isn't much publicly available information about him.
James Mercer is a mathematician best known for his contributions to functional analysis and statistics, particularly in the development of the Mercer theorem. The Mercer theorem provides conditions under which a continuous positive semidefinite kernel can be represented in terms of an infinite series of eigenfunctions. This has important applications in various fields, including machine learning, where it is often used in the context of support vector machines and kernel methods.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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