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Applied mathematics

Index Applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry. [1]

86 relations: Actuarial science, Algebra, Algebraic statistics, Applied mathematics, Approximation theory, Asymptotic analysis, Biology, Brigham Young University, Brown University, Business, Calculus of variations, Charles Babbage, Chemistry, Classical mechanics, Combinatorial design, Combinatorics, Computational economics, Computational engineering, Computational mathematics, Computational science, Computer algebra, Computer science, Cryptography, Design of experiments, Differential equation, Doctorate, Economics, Engineering, Engineering mathematics, Faculty of Mathematics, University of Cambridge, Fluid mechanics, Game theory, Glasgow Caledonian University, Graph theory, Henri Poincaré, Industry, Isaac Newton, James Lighthill, Liverpool Hope University, Logic, Lucasian Professor of Mathematics, Management science, Massachusetts Institute of Technology, Master of Science, Mathematical analysis, Mathematical economics, Mathematical finance, Mathematical model, Mathematical optimization, Mathematical physics, ..., Mathematical sciences, Mathematics Subject Classification, Matrix population models, Morehead State University, Natural science, Number theory, Numerical analysis, Operations research, Optimal decision, Paul Dirac, Physics, Probability, Probability theory, Profession, Psychology, Pure mathematics, Queen's University Belfast, Representation (mathematics), Santa Clara University, Science, Simulation, Social choice theory, Social science, Society for Industrial and Applied Mathematics, Statistician, Statistics, Stephen Hawking, Supercomputer, Theoretical computer science, United Kingdom, University of Cambridge, University of Notre Dame, Vladimir Arnold, Walter Ledermann, World Scientific, World War II. Expand index (36 more) »

Actuarial science

Actuarial science is the discipline that applies mathematical and statistical methods to assess risk in insurance, finance and other industries and professions.

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Algebra

Algebra (from Arabic "al-jabr", literally meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis.

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Algebraic statistics

Algebraic statistics is the use of algebra to advance statistics.

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Applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.

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Approximation theory

In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby.

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Asymptotic analysis

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.

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Biology

Biology is the natural science that studies life and living organisms, including their physical structure, chemical composition, function, development and evolution.

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Brigham Young University

Brigham Young University (BYU, sometimes referred to colloquially as The Y) is a private, non-profit research university in Provo, Utah, United States completely owned by The Church of Jesus Christ of Latter-day Saints (LDS or Mormon Church) and run under the auspices of its Church Educational System.

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Brown University

Brown University is a private Ivy League research university in Providence, Rhode Island, United States.

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Business

Business is the activity of making one's living or making money by producing or buying and selling products (goods and services).

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Calculus of variations

Calculus of variations is a field of mathematical analysis that uses variations, which are small changes in functions and functionals, to find maxima and minima of functionals: mappings from a set of functions to the real numbers.

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Charles Babbage

Charles Babbage (26 December 1791 – 18 October 1871) was an English polymath.

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Chemistry

Chemistry is the scientific discipline involved with compounds composed of atoms, i.e. elements, and molecules, i.e. combinations of atoms: their composition, structure, properties, behavior and the changes they undergo during a reaction with other compounds.

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Classical mechanics

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies.

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Combinatorial design

Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of balance and/or symmetry.

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Combinatorics

Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures.

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Computational economics

Computational economics is a research discipline at the interface of computer science, economics, and management science.

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Computational engineering

Not to be confused with computer engineering. Computational science and engineering (CSE) is a relatively new discipline that deals with the development and application of computational models and simulations, often coupled with high-performance computing, to solve complex physical problems arising in engineering analysis and design (computational engineering) as well as natural phenomena (computational science).

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Computational mathematics

Computational mathematics may refer to two different aspect of the relation between computing and mathematics.

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Computational science

Computational science (also scientific computing or scientific computation (SC)) is a rapidly growing multidisciplinary field that uses advanced computing capabilities to understand and solve complex problems.

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Computer algebra

In computational mathematics, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other mathematical objects.

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Computer science

Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.

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Cryptography

Cryptography or cryptology (from κρυπτός|translit.

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Design of experiments

The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe or explain the variation of information under conditions that are hypothesized to reflect the variation.

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Differential equation

A differential equation is a mathematical equation that relates some function with its derivatives.

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Doctorate

A doctorate (from Latin docere, "to teach") or doctor's degree (from Latin doctor, "teacher") or doctoral degree (from the ancient formalism licentia docendi) is an academic degree awarded by universities that is, in most countries, a research degree that qualifies the holder to teach at the university level in the degree's field, or to work in a specific profession.

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Economics

Economics is the social science that studies the production, distribution, and consumption of goods and services.

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Engineering

Engineering is the creative application of science, mathematical methods, and empirical evidence to the innovation, design, construction, operation and maintenance of structures, machines, materials, devices, systems, processes, and organizations.

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Engineering mathematics

Engineering mathematics is a branch of applied mathematics concerning mathematical methods and techniques that are typically used in engineering and industry.

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Faculty of Mathematics, University of Cambridge

The Faculty of Mathematics at the University of Cambridge comprises the Department of Pure Mathematics and Mathematical Statistics (DPMMS) and the Department of Applied Mathematics and Theoretical Physics (DAMTP).

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Fluid mechanics

Fluid mechanics is a branch of physics concerned with the mechanics of fluids (liquids, gases, and plasmas) and the forces on them.

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Game theory

Game theory is "the study of mathematical models of conflict and cooperation between intelligent rational decision-makers".

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Glasgow Caledonian University

Glasgow Caledonian University (informally GCU or Caledonian) is a public university in Glasgow.

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Graph theory

In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects.

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Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

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Industry

Industry is the production of goods or related services within an economy.

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Isaac Newton

Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, astronomer, theologian, author and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time, and a key figure in the scientific revolution.

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James Lighthill

Sir Michael James Lighthill, (23 January 1924 – 17 July 1998) was a British applied mathematician, known for his pioneering work in the field of aeroacoustics.

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Liverpool Hope University

Liverpool Hope University is a public university in Liverpool, England.

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Logic

Logic (from the logikḗ), originally meaning "the word" or "what is spoken", but coming to mean "thought" or "reason", is a subject concerned with the most general laws of truth, and is now generally held to consist of the systematic study of the form of valid inference.

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Lucasian Professor of Mathematics

The Lucasian Chair of Mathematics is a mathematics professorship in the University of Cambridge, England; its holder is known as the Lucasian Professor.

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Management science

Management science (MS), is the broad interdisciplinary study of problem solving and decision making in human organizations, with strong links to management, economics, business, engineering, management consulting, and other sciences.

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Massachusetts Institute of Technology

The Massachusetts Institute of Technology (MIT) is a private research university located in Cambridge, Massachusetts, United States.

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Master of Science

A Master of Science (Magister Scientiae; abbreviated MS, M.S., MSc, M.Sc., SM, S.M., ScM, or Sc.M.) is a master's degree in the field of science awarded by universities in many countries, or a person holding such a degree.

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Mathematical analysis

Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.

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Mathematical economics

Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics.

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Mathematical finance

Mathematical finance, also known as quantitative finance, is a field of applied mathematics, concerned with mathematical modeling of financial markets.

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Mathematical model

A mathematical model is a description of a system using mathematical concepts and language.

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Mathematical optimization

In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematical sciences

The mathematical sciences are a group of areas of study that includes, in addition to mathematics, those academic disciplines that are primarily mathematical in nature but may not be universally considered subfields of mathematics proper.

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Mathematics Subject Classification

The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme collaboratively produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zentralblatt MATH.

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Matrix population models

Population models are used in population ecology to model the dynamics of wildlife or human populations.

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Morehead State University

Morehead State University (MSU) is a public, co-educational university located in Morehead, Kentucky, United States, in the foothills of the Daniel Boone National Forest in Rowan County, midway between Lexington, Kentucky, and Huntington, West Virginia.

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Natural science

Natural science is a branch of science concerned with the description, prediction, and understanding of natural phenomena, based on empirical evidence from observation and experimentation.

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Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

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Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

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Operations research

Operations research, or operational research in British usage, is a discipline that deals with the application of advanced analytical methods to help make better decisions.

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Optimal decision

An optimal decision is a decision that leads to at least as good a known or expected outcome as all other available decision options.

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Paul Dirac

Paul Adrien Maurice Dirac (8 August 1902 – 20 October 1984) was an English theoretical physicist who is regarded as one of the most significant physicists of the 20th century.

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Physics

Physics (from knowledge of nature, from φύσις phýsis "nature") is the natural science that studies matterAt the start of The Feynman Lectures on Physics, Richard Feynman offers the atomic hypothesis as the single most prolific scientific concept: "If, in some cataclysm, all scientific knowledge were to be destroyed one sentence what statement would contain the most information in the fewest words? I believe it is that all things are made up of atoms – little particles that move around in perpetual motion, attracting each other when they are a little distance apart, but repelling upon being squeezed into one another..." and its motion and behavior through space and time and that studies the related entities of energy and force."Physical science is that department of knowledge which relates to the order of nature, or, in other words, to the regular succession of events." Physics is one of the most fundamental scientific disciplines, and its main goal is to understand how the universe behaves."Physics is one of the most fundamental of the sciences. Scientists of all disciplines use the ideas of physics, including chemists who study the structure of molecules, paleontologists who try to reconstruct how dinosaurs walked, and climatologists who study how human activities affect the atmosphere and oceans. Physics is also the foundation of all engineering and technology. No engineer could design a flat-screen TV, an interplanetary spacecraft, or even a better mousetrap without first understanding the basic laws of physics. (...) You will come to see physics as a towering achievement of the human intellect in its quest to understand our world and ourselves."Physics is an experimental science. Physicists observe the phenomena of nature and try to find patterns that relate these phenomena.""Physics is the study of your world and the world and universe around you." Physics is one of the oldest academic disciplines and, through its inclusion of astronomy, perhaps the oldest. Over the last two millennia, physics, chemistry, biology, and certain branches of mathematics were a part of natural philosophy, but during the scientific revolution in the 17th century, these natural sciences emerged as unique research endeavors in their own right. Physics intersects with many interdisciplinary areas of research, such as biophysics and quantum chemistry, and the boundaries of physics are not rigidly defined. New ideas in physics often explain the fundamental mechanisms studied by other sciences and suggest new avenues of research in academic disciplines such as mathematics and philosophy. Advances in physics often enable advances in new technologies. For example, advances in the understanding of electromagnetism and nuclear physics led directly to the development of new products that have dramatically transformed modern-day society, such as television, computers, domestic appliances, and nuclear weapons; advances in thermodynamics led to the development of industrialization; and advances in mechanics inspired the development of calculus.

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Probability

Probability is the measure of the likelihood that an event will occur.

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Probability theory

Probability theory is the branch of mathematics concerned with probability.

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Profession

A profession is a vocation founded upon specialized educational training, the purpose of which is to supply disinterested objective counsel and service to others, for a direct and definite compensation, wholly apart from expectation of other business gain.

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Psychology

Psychology is the science of behavior and mind, including conscious and unconscious phenomena, as well as feeling and thought.

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Pure mathematics

Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts.

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Queen's University Belfast

Queen's University Belfast (informally Queen's or QUB) is a public research university in Belfast, Northern Ireland.

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Representation (mathematics)

In mathematics, representation is a very general relationship that expresses similarities between objects.

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Santa Clara University

Santa Clara University (also referred to as Santa Clara) is a private Jesuit university located in Santa Clara, California. It has 5,435 full-time undergraduate students, and 3,335 graduate students. Founded in 1851, Santa Clara University is the oldest operating institution of higher learning in California, and has remained in its original location for years. The university's campus surrounds the historic Mission Santa Clara de Asis, which traces its founding to 1776. The campus mirrors the Mission's architectural style, and provides a fine early example of Mission Revival Architecture. The university offers bachelor's degrees, master's degrees, and doctoral degrees through its six colleges, the School of Arts and Sciences, School of Education and Counseling Psychology, Leavey School of Business, School of Engineering, Jesuit School of Theology, and School of Law. Santa Clara has produced four Rhodes Scholars and has been recognized as a top producer of Fulbright Scholars. Among Santa Clara's alumni are governors, congressmen, mayors, senators, and presidential cabinet members. Santa Clara alumni founded Nvidia and Farmer's Insurance, and created JavaScript. Santa Clara's alumni have won a number of honors, including Pulitzer Prizes, the NBA MVP Award, and induction into the Rock and Roll Hall of Fame. Santa Clara alumni have served as mayors of San Francisco, Los Angeles, Oakland, San Jose, and Washington, DC. Both the current Governor and Lieutenant Governor of California attended Santa Clara. Santa Clara's sports teams are called the Broncos. Their colors are red and white. The Broncos compete at the NCAA Division I levels as members of the West Coast Conference in 19 sports. Broncos have won NCAA championships in both men's and women's soccer. Santa Clara's student athletes include current or former 58 MLB, 40 NFL, and 12 NBA players and 13 Olympic gold medalists.

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Science

R. P. Feynman, The Feynman Lectures on Physics, Vol.1, Chaps.1,2,&3.

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Simulation

Simulation is the imitation of the operation of a real-world process or system.

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Social choice theory

Social choice theory or social choice is a theoretical framework for analysis of combining individual opinions, preferences, interests, or welfares to reach a collective decision or social welfare in some sense.

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Social science

Social science is a major category of academic disciplines, concerned with society and the relationships among individuals within a society.

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Society for Industrial and Applied Mathematics

The Society for Industrial and Applied Mathematics (SIAM) is an academic association dedicated to the use of mathematics in industry.

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Statistician

A statistician is a person who works with theoretical or applied statistics.

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Statistics

Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

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Stephen Hawking

Stephen William Hawking (8 January 1942 – 14 March 2018) was an English theoretical physicist, cosmologist, and author, who was director of research at the Centre for Theoretical Cosmology at the University of Cambridge at the time of his death.

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Supercomputer

A supercomputer is a computer with a high level of performance compared to a general-purpose computer.

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Theoretical computer science

Theoretical computer science, or TCS, is a subset of general computer science and mathematics that focuses on more mathematical topics of computing and includes the theory of computation.

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United Kingdom

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain,Usage is mixed with some organisations, including the and preferring to use Britain as shorthand for Great Britain is a sovereign country in western Europe.

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University of Cambridge

The University of Cambridge (informally Cambridge University)The corporate title of the university is The Chancellor, Masters, and Scholars of the University of Cambridge.

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University of Notre Dame

The University of Notre Dame du Lac (or simply Notre Dame or ND) is a private, non-profit Catholic research university in the community of Notre Dame, Indiana, near the city of South Bend, in the United States.

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Vladimir Arnold

Vladimir Igorevich Arnold (alternative spelling Arnol'd, Влади́мир И́горевич Арно́льд, 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician.

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Walter Ledermann

Walter Ledermann FRSE (18 March 1911 Berlin, Germany – 22 May 2009 London, England) was a German and British mathematician who worked on matrix theory, group theory, homological algebra, number theory, statistics, and stochastic processes.

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World Scientific

World Scientific Publishing is an academic publisher of scientific, technical, and medical books and journals headquartered in Singapore.

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World War II

World War II (often abbreviated to WWII or WW2), also known as the Second World War, was a global war that lasted from 1939 to 1945, although conflicts reflecting the ideological clash between what would become the Allied and Axis blocs began earlier.

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Applicable mathematics, Applications of mathematics, Applied Math, Applied Mathematics, Applied math, Applied mathematical research, Applied mathematician, Applied maths, Basic applied math, History of applied mathematics, Industrial Mathematics, Industrial mathematics, Mathematics - Applied, Techno-mathematics.

References

[1] https://en.wikipedia.org/wiki/Applied_mathematics

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