Vaṭeśvara-siddhānta, often associated with Vaṭeśvara, is a philosophical and mathematical framework within the context of Indian mathematics, particularly in the field of astronomy and astrology. It is primarily attributed to the 14th-century Indian mathematician and astronomer Madhava of Sangamagrāma, among others, and refers to the principles outlined by Vaṭeśvara in his works.
The "indispensability of mathematics" is a philosophical position concerning the role and significance of mathematics in various fields, particularly in science and empirical inquiry. The central idea is that mathematical structures and theories are essential for explaining and predicting phenomena in the natural world.
"The Crest of the Peacock: Non-European Roots of Mathematics" is a book written by Indian mathematician and historian of mathematics, Victor J. Katz. Published in 2007, this work explores the contributions of non-European cultures to the development of mathematical concepts throughout history. Katz argues against the Eurocentric narrative that often dominates the history of mathematics, highlighting significant advancements made by various civilizations, including those in India, the Middle East, China, and Africa.
The "Strong Law of Small Numbers" is a concept in statistics and probability that refers to the common misconception that small samples can accurately reflect the characteristics of a larger population. It was popularized by the psychologist Daniel Kahneman in his book "Thinking, Fast and Slow.
MyMaths is an online platform designed to support teaching and learning in mathematics. It offers a range of resources for students, teachers, and schools, including interactive lessons, homework assignments, and assessments. The platform aims to enhance students' understanding of mathematical concepts through engaging activities and provides valuable feedback for educators to track progress. MyMaths typically includes a variety of topics aligned with the curriculum, covering different levels from primary to secondary education.
Manifold is a magazine that focuses on the intersection of design, culture, and technology. It aims to explore the complexities of modern life and the ways in which various disciplines intersect and influence each other. The publication often features a range of content, including essays, interviews, and artistic works, and it seeks to engage with contemporary issues through a thoughtful and critical lens.
In the context of mathematics, particularly in number theory and algebra, **local fields** are a class of fields that are used to study number systems with a focus on their local properties. Local fields have a topology that is defined by a valuation, which provides a notion of 'size' or 'distance' in the field.
Kuṭṭākāra Śirōmaṇi, often referred to as "The Crest Jewel of the Kuttaka," is a notable text in the field of ancient Indian mathematics, particularly in the study of combinatorial and algorithmic mathematics. The text is attributed to the mathematician Bhāskara II (also known as Bhāskarācārya), who lived in the 12th century.
The International Congress on Industrial and Applied Mathematics (ICIAM) is a major international conference aimed at promoting the advancement and dissemination of knowledge in the field of industrial and applied mathematics. Organized every four years, ICIAM serves as a platform for mathematicians, researchers, and practitioners from various sectors to discuss the latest developments, share research findings, and explore innovative applications of mathematics in industry and real-world problems.
The **Guide to Available Mathematical Software** (GAMS) is a comprehensive directory that provides information about various mathematical software packages, libraries, and tools. It aims to help researchers, educators, and practitioners in the fields of mathematics, computer science, engineering, and related disciplines find suitable software for their computational needs. GAMS includes details such as: - **Software Descriptions:** Information about what each software package does, its capabilities, and its intended applications.
The Felix Klein Protocols refer to a series of cryptographic protocols designed for secure multi-party computations, particularly in the context of privacy-preserving machine learning and data sharing. Named after the mathematician Felix Klein, the protocols aim to ensure that multiple parties can collaborate on computations while keeping their input data private from one another.
"Everything and More: A Compact History of Infinity" is a book by philosopher and mathematician Robert Kaplan, published in 2004. The book explores the concept of infinity in mathematics, tracing its historical development and the philosophical implications that arise from it. Kaplan examines the various ways in which infinity has been understood, from ancient Greek philosophy to modern mathematical theories.
EqWorld is an online resource focused on providing information and tools related to differential equations. It serves as a comprehensive repository for mathematical equations, solutions, and various techniques used in the study of ordinary differential equations (ODEs) and partial differential equations (PDEs). The website includes a range of resources such as: - Detailed explanations of different types of differential equations. - Solution methods for ODEs and PDEs. - Examples and solved problems. - Educational articles and research papers.
"De Gradibus" is a treatise attributed to the ancient Roman philosopher and poet Lucretius, though it is not widely known or discussed. The term "de gradibus" translates to "On Degrees" in Latin, and it's often used in contexts related to measurement, scales, or gradation in various fields, including philosophy and science. However, it is worth noting that "De Gradibus" itself may also refer to different works or texts depending on the context.
"Analysis Situs" is a significant work in the field of topology written by the French mathematician Henri Poincaré, published in 1895. In this paper, Poincaré laid the groundwork for the study of topology, which is the branch of mathematics concerned with the properties of space that are preserved under continuous transformations. In "Analysis Situs," Poincaré developed key concepts and techniques that would become fundamental to topology, such as the ideas of homology and continuity.
The All-Russian Mathematical Portal (VMNIP) is an online resource intended to support the mathematical community in Russia and beyond. It serves as a central hub for information related to various aspects of mathematics, including research publications, educational resources, mathematical events, and activities related to mathematics education. The portal typically features links to mathematical journals, institutions, conferences, and educational materials, aiming to enhance collaboration and communication among mathematicians, educators, and students.
The Theory of Probability is a branch of mathematics that studies randomness and uncertainty. It provides a framework for quantifying the likelihood of various outcomes and events, allowing us to make informed decisions based on that uncertainty. Key components of the theory include: 1. **Basic Definitions**: Probability is defined as a measure that quantifies the likelihood of an event occurring, with values ranging from 0 (impossible event) to 1 (certain event).
A probability survey is a type of survey that uses random sampling techniques to select participants, ensuring that every individual in the population has a known and non-zero chance of being chosen. This approach allows researchers to make statistically valid inferences about a larger population based on the responses of the survey sample. Key elements of probability surveys include: 1. **Random Sampling**: Participants are selected randomly, which helps to eliminate selection bias.
"Philosophia Mathematica" is a scholarly journal that focuses on philosophical aspects of mathematics. It serves as a platform for the exploration of foundational issues in mathematics, including the nature of mathematical objects, the epistemology of mathematics, the application of mathematics in science, and the philosophical implications of mathematical theories. The journal publishes articles that examine both historical and contemporary philosophical debates in mathematics, featuring work from philosophers, mathematicians, and interdisciplinary scholars.