Elemente der Mathematik
"Elemente der Mathematik" is a significant work by the German mathematician Richard Courant and the mathematician Herbert Robbins. Originally published in 1938, the book is recognized for its comprehensive introduction to various fields of mathematics, presented in a way that emphasizes the underlying principles and connections among different mathematical concepts. The title translates to "Elements of Mathematics," and the work covers topics such as number theory, algebra, geometry, and calculus, among others.
**Ergodic Theory** and **Dynamical Systems** are branches of mathematics that study systems that evolve over time, particularly those that exhibit some form of regularity or structure in their behaviors. ### Dynamical Systems A **Dynamical System** is a formalism used to describe the time-dependent behavior of a point in a geometrical space.
Eureka is a magazine published by the University of Cambridge that focuses on science, research, and innovation. It aims to communicate complex scientific concepts and research findings to a broader audience in an engaging and accessible manner. The publication often features articles written by students, researchers, and faculty members, highlighting breakthroughs, ongoing projects, and the impact of scientific work on society and the world.
The European Journal of Operational Research (EJOR) is a scholarly journal that publishes research articles related to the field of operational research (OR). Operational research is a discipline that uses advanced analytical methods to help make better decisions. The journal covers a wide range of topics, including but not limited to optimization, decision analysis, simulation, logistics, and supply chain management.
Fibonacci Quarterly
Fibonacci Quarterly is a mathematical journal that focuses on topics related to the Fibonacci numbers and their applications. It covers a range of subjects including number theory, combinatorics, and mathematical sequences related to Fibonacci and Lucas numbers, as well as their connections to various fields such as computer science, biology, and art. The journal is named after Leonardo of Pisa, known as Fibonacci, who introduced the famous Fibonacci sequence in his 1202 work "Liber Abaci.
Forum Geometricorum
Forum Geometricorum is a scholarly journal focused on the field of mathematics, specifically geometry. It serves as a platform for researchers to publish papers that cover various aspects of geometry, including both classical and contemporary topics. The journal is known for its emphasis on high-quality contributions that may include original research articles, survey papers, and expository articles that clarify complex geometric concepts.
Forum of Mathematics
The Forum of Mathematics is an academic platform that publishes high-quality research in the field of mathematics. It typically consists of various journals that cover a range of mathematical disciplines, including both pure and applied mathematics. The Forum of Mathematics aims to facilitate the communication of significant mathematical results and ideas among researchers and practitioners. The initiative may involve journals such as the "Forum of Mathematics, Pi" and "Forum of Mathematics, Sigma" which focus on different aspects and styles of mathematical research.
Fractals (journal)
"Fractals" is a peer-reviewed scientific journal that focuses on the study of fractals and their applications in various fields. Established in 1993, it publishes research articles, reviews, and letters concerning the mathematical and physical aspects of fractals, as well as their applications in areas such as physics, biology, engineering, and finance.
Discrete logarithm records
The term "discrete logarithm records" generally refers to records of algorithms, properties, or particular instances related to the discrete logarithm problem, which is a fundamental problem in number theory and cryptography.
Scrambler (ride)
The Scrambler is a popular amusement park ride characterized by its spinning and oscillating motion. It typically features several cars that rotate around a central hub, while also moving along a circular path. Each car swings back and forth in a chaotic manner, giving riders the sensation of being tossed around. The ride's design often includes a series of interconnected arms that pivot, allowing the cars to rotate independently and creating a thrilling, unpredictable experience. Riders are usually secured in by lap bars or safety harnesses.
Waltzer
"Waltzer" can refer to a few different concepts, depending on the context. Here are the most common meanings: 1. **Dance**: The waltz is a type of ballroom dance that features a smooth, flowing style characterized by a strong emphasis on the first beat of each measure. "Waltzer" can sometimes be used to refer to someone who dances the waltz.
The International Journal of Number Theory is a scientific journal that focuses on the field of number theory, which is a branch of pure mathematics devoted to the study of the integers and more generally to properties of objects built from them. The journal publishes original research articles, surveys, and expository papers that contribute to various aspects of number theory, including but not limited to algebraic number theory, analytic number theory, and computational number theory.
International Mathematics Research Surveys (IMRS) is a scholarly publication that provides a platform for researchers to share comprehensive surveys on various topics in mathematics. The surveys typically cover a wide range of mathematical fields, offering insights into recent developments, key problems, historical context, and significant results in those areas. The main purposes of IMRS include: 1. **Dissemination of Knowledge:** It aims to disseminate important mathematical research findings to a broader audience, thereby fostering collaboration and communication among mathematicians.
Inventiones Mathematicae
"Inventiones Mathematicae" is a well-known mathematics journal that publishes research papers in all areas of mathematics. Established in 1966, it is a peer-reviewed journal and is recognized for its high standards of quality in mathematical research. The journal covers a wide range of topics, including but not limited to pure mathematics, applied mathematics, and mathematical theories. It aims to disseminate original work that contributes significantly to the field.
"Investigations in Mathematics Learning" refers to a scholarly journal that focuses on research and insights related to mathematics education. It publishes articles aimed at understanding and improving the teaching and learning of mathematics across various educational levels. The journal typically includes empirical studies, theoretical discussions, and reviews that help teachers, researchers, and policymakers enhance mathematics instruction.
"Memoirs of the American Mathematical Society" is a scientific journal published by the American Mathematical Society (AMS). It features research papers and articles in various fields of mathematics, often focusing on substantial and in-depth work that may not fit into the shorter formats of traditional research papers. The content typically includes but is not limited to original research results, survey articles, and comprehensive studies of specific mathematical topics. The series is known for its rigorous peer-review process and aims to disseminate significant advancements in mathematical research.
Nonlinear Oscillations
Nonlinear oscillations refer to the behavior of systems that exhibit oscillatory motion but do not follow a simple linear relationship in their governing equations. In simpler terms, these are oscillations where the restoring force is not directly proportional to the displacement from an equilibrium position, which is a hallmark of linear systems.
Nonlinearity (journal)
"Nonlinearity" is a scientific journal that focuses on the study of nonlinear phenomena across various fields of mathematics and physics. It publishes research articles, reviews, and other contributions that address nonlinear dynamics, chaos theory, complex systems, and related areas. The journal aims to provide a platform for researchers to share their findings on theoretical and applied aspects of nonlinear systems.
Research in Number Theory
Research in number theory is a branch of mathematical research that focuses on the study of integers and their properties. This area of mathematics explores a variety of concepts involving whole numbers, including their relationships, structures, and behaviors. Number theory has a long history and remains an active field with numerous open questions and ongoing investigations. Here are some key components of research in this area: 1. **Prime Numbers**: Understanding the distribution of prime numbers, which are the building blocks of integers.