"Convex Polyhedra" is a significant mathematical book authored by G. B. F. (George B. F.) H. R. (Herman R.) A. (Alfred) Schleinck and F. G. (Frank G.) L. (Lothar) Schenker, originally published in 1970.
"Euclid and His Modern Rivals" is a book written by the mathematician and philosopher in the early 20th century, Alfred North Whitehead. Published in 1903, the work is known for its critique of the foundational aspects of mathematics, particularly in relation to Euclidean geometry and the developments that followed in modern mathematics.
"Euclides Danicus" refers to the Danish edition of the mathematical work attributed to the ancient Greek mathematician Euclid, primarily known for his work in geometry, notably the "Elements." The term might be used in a specific context, such as a publication, translation, or interpretation of Euclid’s work that has been adapted or edited for a Danish-speaking audience. If it pertains to a specific book, author, or scholarly work, more details would be necessary to provide a precise explanation.
"Harmonices Mundi," also known as "The Harmony of the World," is a work by the German mathematician and astronomer Johannes Kepler, published in 1619. This book is significant in the history of science as it presents Kepler's theories about the relationships between the distances of the planets from the Sun and their respective orbital periods.
"Horologium Oscillatorium" is a significant work in the history of science, written by the French philosopher and mathematician Christiaan Huygens and published in 1673. The title translates to "The Oscillating Clock" or "The Oscillating Timepiece." In this treatise, Huygens describes his research on the principles of pendulum motion, particularly how pendulums can be used to improve the accuracy of clocks.
"IJP The Book of Surfaces" is a comprehensive publication that presents the work and philosophy of IJP (Iris Van Herpen), a well-known fashion designer recognized for her innovative designs that blend art, technology, and fashion. The book typically features various facets of her creative process, showcasing her exploration of materials, textures, and architectural concepts in her collections.
"Sumario Compendioso," often referred to in the context of literature and historical texts, is a Spanish term that translates to "Concise Summary" or "Brief Summary." Depending on the specific context, it can refer to various writings or documents that aim to provide a succinct overview of a larger work or subject matter. In many instances, such summaries are used to distill complex ideas, themes, or events into a more manageable form for easier understanding or reference.
The "Jade Mirror of the Four Unknowns" (Chinese: "Sì wú zhī yì" or "四无知义") is a historical Chinese text attributed to the poet and scholar Liu Yuxi (772–842 CE) of the Tang dynasty. The work is a philosophical text that explores themes of knowledge, self-cultivation, and the nature of the universe.
The "Mathematical Foundations of Quantum Mechanics" is a field of study that focuses on the rigorous mathematical formulation and interpretation of quantum mechanics, which is the fundamental theory describing the physical properties of nature at the scale of atoms and subatomic particles. This subject addresses the abstract mathematical structures that underpin quantum mechanics and aims to clarify concepts, axioms, and the logical structure of the theory.
"Mathematical Models" by Cundy and Rollett is a well-known book that serves as an introduction to the concept of mathematical modeling across various fields. The authors, G. W. Cundy and A. E. Rollett, aim to demonstrate how mathematical techniques can be applied to solve real-world problems. The book covers a variety of topics, including geometrical models, optimization, algebraic structures, and combinatorial problems.
"Mathematical Models" by Fischer typically refers to a specific work or textbook authored by mathematician and educator, likely focusing on the application of mathematical concepts and techniques to model real-world phenomena. Mathematical modeling involves creating abstract representations of systems or processes using mathematical structures, which can be used to analyze, predict, or simulate behavior.
Mechanica can refer to a few different concepts depending on the context. Here are a few interpretations: 1. **Mechanica (Game)**: There's a video game called "Mechanica," which is an indie title that involves mechanics and puzzles. Players often engage in building and manipulating machines to solve challenges.
Metric structures for Riemannian and non-Riemannian spaces refer to mathematical frameworks used to study the geometric and topological properties of spaces equipped with a metric, which measures distances between points. The distinction between Riemannian and non-Riemannian spaces primarily revolves around the kinds of metrics used and the geometric structures that arise from them. ### Riemannian Spaces 1.
"Opera Omnia Leonhard Euler" refers to the complete works of the Swiss mathematician and physicist Leonhard Euler, who is considered one of the most prolific and important mathematicians in history. The term "Opera Omnia" is Latin for "all works" or "complete works." Euler made significant contributions to a wide range of mathematical fields, including calculus, graph theory, topology, number theory, mechanics, and astronomy, among others.
"Proofs and Refutations" is a philosophical and mathematical work by the British mathematician and philosopher Imre Lakatos, first published in 1976. The text is framed as a dialogue between a fictional mathematician and his students, exploring the nature of mathematical reasoning and the development of mathematical knowledge.
In mathematics, "regular figures" typically refer to regular polygons and regular polyhedra. 1. **Regular Polygons**: A regular polygon is a two-dimensional shape that has all sides of equal length and all interior angles of equal measure. Examples include equilateral triangles, squares, pentagons, hexagons, etc. The properties of these figures make them symmetrical and aesthetically pleasing.
**Science** is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe. It involves the use of empirical methods to observe, experiment, and gather data. Science relies on observation, experimentation, and reasoning to develop theories and laws that explain natural phenomena. The scientific method is a key aspect of science, which typically involves the following steps: 1. **Observation**: Noticing phenomena and gathering information about them.
Hypothetical proteins are sequences of amino acids predicted to be produced by a particular gene, but for which no experimental evidence of their function, structure, or interaction has yet been established. These proteins are often identified through genome sequencing and bioinformatics analyses, where computational methods suggest that the gene could encode a protein based on its DNA sequence.
"The Fractal Geometry of Nature" is a seminal book written by mathematician Benoit B. Mandelbrot, published in 1982. This work is significant for introducing and exploring the concept of fractals, which are complex geometric shapes that can be split into parts, each of which is a reduced-scale copy of the whole, a property known as self-similarity.
Mikhail Lobanov may refer to different individuals or contexts, but there isn't a widely known figure by that name who has significant prominence in popular culture, politics, or academia up to my last knowledge update in October 2023.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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