The examples and perspective in this article may not represent a full view of the subject. Please improve this article and discuss the issue on the talk page.(April 2021)
Futures studies
Concepts
Accelerating change
Cashless society
Existential risk
Future
Earth
Mathematics
Race
Climate
Space exploration
Universe
Historical materialism
Kondratiev cycle
Kardashev scale
Moore's law
Peak oil
Population cycle
Resource depletion
Singularity
Swanson's law
Techniques
Backcasting
Causal layered analysis
Chain-linked model
Consensus forecast
Cross impact analysis
Delphi
Real-time Delphi
Foresight
Future-proof
Futures wheel
Futures workshops
Horizon scanning
Reference class forecasting
Scenario planning
Systems analysis
Threatcasting
Trend analysis
Technology assessment and forecasting
Critical design
Design fiction
Exploratory engineering
FTA
Hype cycle
Science fiction prototyping
Speculative design
TRL
Technology scouting
v
t
e
Part of a series on
Mathematics
History
Index
Areas
Number theory
Geometry
Algebra
Calculus and Analysis
Discrete mathematics
Logic and Set theory
Probability
Statistics and Decision theory
Relationship with sciences
Physics
Chemistry
Geosciences
Computation
Biology
Linguistics
Economics
Philosophy
Education
Mathematics Portal
v
t
e
The progression of both the nature of mathematics and individual mathematical problems into the future is a widely debated topic; many past predictions about modern mathematics have been misplaced or completely false, so there is reason to believe that many predictions today will follow a similar path. However, the subject still carries an important weight and has been written about by many notable mathematicians. Typically, they are motivated by a desire to set a research agenda to direct efforts to specific problems, or a wish to clarify, update and extrapolate the way that subdisciplines relate to the general discipline of mathematics and its possibilities. Examples of agendas pushing for progress in specific areas in the future, historical and recent, include Felix Klein's Erlangen program, Hilbert's problems, Langlands program, and the Millennium Prize Problems. In the Mathematics Subject Classification section 01Axx History of mathematics and mathematicians, subsection 01A67 is titled Future prospectives.
The accuracy of predictions about mathematics has varied widely and has proceeded very closely to that of technology.[1] As such, it is important to keep in mind that many of the predictions by researchers below may be misguided or turn out to be untrue.
^Borwein, Jonathan M. (2013). "The Future of Mathematics: 1965 to 2065." MAA Centenary Volume. Retrieved 7 February 2019.
and 28 Related for: Future of mathematics information
The progression of both the nature ofmathematics and individual mathematical problems into the future is a widely debated topic; many past predictions...
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained...
The history ofmathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern...
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400...
Babylonian mathematics (also known as Assyro-Babylonian mathematics) is the mathematics developed or practiced by the people of Mesopotamia, as attested...
Greek mathematics refers to mathematics texts and ideas stemming from the Archaic through the Hellenistic and Roman periods, mostly from the 5th century...
Ancient Egyptian mathematics is the mathematics that was developed and used in Ancient Egypt c. 3000 to c. 300 BCE, from the Old Kingdom of Egypt until roughly...
The biological and geological futureof Earth can be extrapolated based on the estimated effects of several long-term influences. These include the chemistry...
Mathematics during the Golden Age of Islam, especially during the 9th and 10th centuries, was built upon syntheses of Greek mathematics (Euclid, Archimedes...
Mathematics emerged independently in China by the 11th century BCE. The Chinese independently developed a real number system that includes significantly...
timeline of pure and applied mathematics history. It is divided here into three stages, corresponding to stages in the development ofmathematical notation:...
contemporary education, mathematics education—known in Europe as the didactics or pedagogy ofmathematics—is the practice of teaching, learning, and carrying...
Pure mathematics is the study ofmathematical concepts independently of any application outside mathematics. These concepts may originate in real-world...
The race of the future is a theoretical composite race which will result from the ongoing racial admixture. Richard von Coudenhove-Kalergi in 1925 in...
infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Many elements of calculus appeared...
probable). The mathematical sense of the term is from 1718. In the 18th century, the term chance was also used in the mathematical sense of "probability"...
The relationship between mathematics and physics has been a subject of study of philosophers, mathematicians and physicists since antiquity, and more recently...
Foundations ofmathematics is the logical and mathematical framework that allows developing mathematics without generating self-contradictory theories...
Early study of triangles can be traced to the 2nd millennium BC, in Egyptian mathematics (Rhind Mathematical Papyrus) and Babylonian mathematics. Trigonometry...
Indian mathematicians have made a number of contributions to mathematics that have significantly influenced scientists and mathematicians in the modern...
Elementary mathematics, also known as primary or secondary school mathematics, is the study ofmathematics topics that are commonly taught at the primary...
between mathematics and physics – Study of how mathematics and physics relate to each other Number theory – Mathematicsof integer properties Timeline of mathematics...
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling...
Shing-Tung (2013). "The Past, Present and FutureofMathematics in China and India". Notices of the International Congress of Chinese Mathematicians. 1 (2): 95–108...
history ofmathematical notation includes the commencement, progress, and cultural diffusion ofmathematical symbols and the conflict of the methods of notation...
The Princeton Companion to Mathematics is a book providing an extensive overview ofmathematics that was published in 2008 by Princeton University Press...
Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research- and application-based professional...
Global Information
Mathematics Portal