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Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2016

This paper is written to commemorate the centennial anniversary of the Mathematical Association of America. It deals with a short history of different kinds of natural numbers including triangular, square, pentagonal, hexagonal and "k"-gonal numbers, and their simple properties and their geometrical representations. Included are Euclid's…

Descriptors: Mathematics, Mathematics Instruction, Mathematical Applications, Numbers

Debnath, Lokenath; Basu, Kanadpriya – International Journal of Mathematical Education in Science and Technology, 2015

This paper deals with a brief history of probability theory and its applications to Jacob Bernoulli's famous law of large numbers and theory of errors in observations or measurements. Included are the major contributions of Jacob Bernoulli and Laplace. It is written to pay the tricentennial tribute to Jacob Bernoulli, since the year 2013…

Descriptors: Probability, History, Mathematics, Theories

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2015

This paper deals with a brief history of the most remarkable Euler numbers "e,"?"i"?and?"?" in mathematical sciences. Included are many properties of the constants "e,"?"i"?and?"?" and their applications in algebra, geometry, physics, chemistry, ecology, business and industry. Special…

Descriptors: Numbers, History, Mathematics, Mathematical Applications

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2013

This paper deals with a short biography of Paul Dirac, his first celebrated work on quantum mechanics, his first formal systematic use of the Dirac delta function and his famous work on quantum electrodynamics and quantum statistics. Included are his first discovery of the Dirac relativistic wave equation, existence of positron and the intrinsic…

Descriptors: Biographies, Intellectual History, Quantum Mechanics, Career Development

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2012

This article deals with a brief biographical sketch of Joseph Fourier, his first celebrated work on analytical theory of heat, his first great discovery of Fourier series and Fourier transforms. Included is a historical development of Fourier series and Fourier transforms with their properties, importance and applications. Special emphasis is made…

Descriptors: Physics, Equations (Mathematics), Foreign Countries, Probability

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2011

This article deals with a brief history of Fibonacci's life and career. It includes Fibonacci's major mathematical discoveries to establish that he was undoubtedly one of the most brilliant mathematicians of the Medieval Period. Special attention is given to the Fibonacci numbers, the golden number and the Lucas numbers and their fundamental…

Descriptors: Mathematics Education, Numbers, Science Education History, Career Development

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2011

This article deals with a short history of mathematics and mathematical scientists during the ancient and medieval periods. Included are some major developments of the ancient, Indian, Arabic, Egyptian, Greek and medieval mathematics and their significant impact on the Renaissance mathematics. Special attention is given to many results, theorems,…

Descriptors: Mathematics, History, Medieval History, Number Concepts

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2010

This article is essentially devoted to a brief historical introduction to Euler's formula for polyhedra, topology, theory of graphs and networks with many examples from the real-world. Celebrated Konigsberg seven-bridge problem and some of the basic properties of graphs and networks for some understanding of the macroscopic behaviour of real…

Descriptors: Topology, Geometric Concepts, Mathematics, Theories

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2009

This tricentennial tribute commemorates Euler's major contributions to mathematical and physical sciences. A brief biographical sketch is presented with his major contributions to certain selected areas of number theory, differential and integral calculus, differential equations, solid and fluid mechanics, topology and graph theory, infinite…

Descriptors: Physical Sciences, Number Concepts, Topology, Calculus

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2007

This paper deals with a brief introduction to major remarkable discoveries of the "soliton" and the "inverse scattering transform" in the 1960s. The discovery of the soliton (or the solitary waves) began with the famous physical experiments of the Scottish Engineer and Naval Architect John Scott Russell in the Glasgow-Edinburgh…

Descriptors: Computer Uses in Education, Equations (Mathematics), Calculus, Experiments

Debnath, Lokenath – International Journal of Mathematical Education in Science and Technology, 2004

This paper deals with a brief historical introduction to fractional calculus with basic ideas, definitions and results of fractional order integration and differentiation of arbitrary order.

Descriptors: Calculus, Mathematical Logic, Validity