"Crocheting Adventures with Hyperbolic Planes" is a book by Daina Taimina that explores the fascinating intersection of mathematics and art through the medium of crochet. The book specifically focuses on hyperbolic geometry, a non-Euclidean geometric concept where, unlike flat (Euclidean) plane geometry, the parallel postulate does not hold.
"How to Solve It" is a book written by the mathematician George Pólya, first published in 1945. The book provides a systematic approach to problem-solving in mathematics and is widely regarded as a classic in the field of mathematical education. Pólya outlines a four-step method for solving problems: 1. **Understanding the Problem**: This involves identifying the knowns and unknowns, clarifying what is being asked, and ensuring that the problem is well understood.
"Liber Abaci," also known as "The Book of Calculation," is a significant mathematical work written by the Italian mathematician Leonardo of Pisa, commonly known as Fibonacci. Published in 1202, the book introduced the Hindu-Arabic numeral system to Europe, which includes the digits 0 through 9, as well as the concept of place value.
"Making Mathematics with Needlework" refers to the practice of using needlework techniques—such as sewing, knitting, quilting, and embroidery—as tools for exploring mathematical concepts. This approach leverages the tactile and visual nature of textile arts to teach and reinforce various mathematical ideas, including geometry, patterns, symmetry, and spatial reasoning. In educational settings, this methodology can engage learners in a hands-on way, allowing them to create mathematical objects and patterns while developing their skills in both mathematics and needlework.
"Polyominoes: Puzzles, Patterns, Problems, and Packings" is a book that explores the mathematical and recreational aspects of polyominoes, which are geometric shapes formed by joining one or more equal-sized squares edge to edge. The book discusses various topics related to polyominoes, including their enumeration, tiling problems, combinatorial properties, and applications in puzzles and games.
"The Math Book," authored by Clifford A. Pickover, is a popular mathematics book that explores a wide variety of mathematical concepts, ideas, and history. It presents the subject in an engaging and accessible way, highlighting the beauty and intrigue of mathematics through illustations, anecdotes, and thought-provoking questions. The book covers topics ranging from ancient mathematics to modern theories, and it includes profiles of significant mathematicians and their contributions to the field.
Treviso Arithmetic, often referred to in the context of "Treviso Arithmetic II," is a mathematical education tool developed to improve the teaching and learning of arithmetic. It is named after the Treviso region in Italy, where this approach originated. The method emphasizes understanding over rote memorization, focusing on conceptual understanding and reasoning skills in arithmetic.
"The Planiverse" is a science fiction novel written by A.K. Dewdney, first published in 1984. It explores the concept of a two-dimensional world, inhabited by flat entities known as "Planarians." The narrative delves into the mathematics and physics of a two-dimensional universe, presenting its peculiar laws of nature and how the inhabitants perceive their environment.
The Primary Mathematics World Contest (PMWC) is an international competition designed for elementary school students to encourage mathematical problem-solving and critical thinking skills. Organized by various educational organizations, the contest typically features age-appropriate mathematics problems that challenge participants and promote a love for mathematics. The PMWC often includes individual and team competitions, where students are tasked with solving a variety of problems that may range from arithmetic and algebra to geometry and logic puzzles.
The Pui Ching Invitational Mathematics Competition is an annual mathematics competition that typically takes place in Hong Kong. It is organized by Pui Ching Middle School and aims to promote interest in mathematics among students at various levels. The competition usually features challenging problems that test participants' mathematical reasoning, problem-solving skills, and creativity. It attracts talented students from different schools, providing them with an opportunity to compete, collaborate, and share ideas in mathematics.
Hemodynamics is the study of the movement of blood within the circulatory system and the forces that govern this movement. It encompasses the principles of fluid dynamics as they apply to blood flow, pressure, and resistance within the blood vessels. Hemodynamics is critical for understanding the function of the cardiovascular system and is crucial in clinical settings, especially in assessing and managing conditions like hypertension, heart failure, and other cardiovascular disorders.
"Advances in Group Theory and Applications" is likely a scholarly journal or publication focused on the field of group theory, which is a branch of mathematics that studies the algebraic structures known as groups. In general, such publications typically include research articles, reviews, and possibly conference proceedings that explore new findings, theoretical advancements, and applications of group theory in various areas of mathematics and related fields.
The "Bulletin de la Société Mathématique de France" (BSMF) is a mathematical journal published by the Société Mathématique de France (SMF), a French mathematical society founded in 1872. Established in 1873, the BSMF serves as a platform for the dissemination of research in various fields of mathematics. It includes research papers, survey articles, and notes on new developments in mathematics.
Fractional calculus is a branch of mathematical analysis that extends the concept of derivatives and integrals to fractional (non-integer) orders. Traditional calculus deals with whole number orders of differentiation and integration, such as the first derivative \( f'(x) \) or the second derivative \( f''(x) \).
General relativity is a fundamental theory of gravitation formulated by Albert Einstein and published in 1915. It redefined the concept of gravity, moving beyond the Newtonian perspective. Here's an overview of the key features of general relativity: ### Key Concepts of General Relativity: 1. **Curvature of Spacetime**: Instead of viewing gravity as a force that acts at a distance, general relativity describes it as the curvature of spacetime caused by mass and energy.
"Annales Scientifiques de l'École Normale Supérieure" is a prominent scientific journal published by the École Normale Supérieure in France. It covers various fields of mathematics, physics, and other sciences, and it features original research articles, reviews, and other scholarly content. The journal is highly regarded within the academic community and often serves as a platform for influential research, particularly in theoretical and applied sciences.
"Arkiv för Matematik" is a mathematical journal that publishes research articles in various areas of mathematics. It is known for its rigorous peer-review process and aims to present high-quality research. The journal often includes work from both established researchers and newcomers in the field. "Arkiv för Matematik" was founded in 1961 and is published by the Swedish Mathematical Society. It covers a wide range of topics within mathematics and serves as a platform for disseminating significant findings in the mathematical community.
The Asian Journal of Mathematics is a peer-reviewed academic journal that publishes original research articles in various fields of mathematics. It is known for its wide-ranging coverage of topics within both pure and applied mathematics. The journal aims to provide a platform for mathematicians, researchers, and practitioners to share their findings and contribute to the advancement of mathematical knowledge. The journal typically includes articles on areas such as algebra, analysis, geometry, topology, and mathematical physics, among others.

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