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Mukhopadhyaya
Syamadas Mukhopadhyaya (22 June 1866 – 8 May 1937) was an Indian mathematician who introduced the four-vertex theorem and Mukhopadhyaya's theorem in plane geometry. Biography Syamadas Mukhopadhyaya was born at Haripal, Hooghly district, in the West Bengal, India. He graduated from Hooghly College, received his M.A. degree from Presidency College in Calcutta, and his Ph.D. degree from Calcutta University in 1910. He also took classes from the Indian Association for the Cultivation of Science. Mukhopadhyaya was appointed by Asustosh Mookerjee as professor of mathematics in the Rajabazar Science College, University of Calcutta. Jacques Hadamard communicated with Mukhopadyaya about the latter's work on the geometry of a plane arc and Wilhelm Blaschke's book on geometry had a reference to Mukhopadhyaya. He worked at Bangabasi College and then at Bethune College in Calcutta, where he lectured in Mathematics, English Literature, and Philosophy. In 1932, he was elected president ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mukhopadhyaya's Theorem
In geometry Mukhopadhyaya's theorem may refer to one of several closely related theorems about the number of vertices of a curve due to . One version, called the four-vertex theorem, states that a simple convex curve In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes. Examples of convex curves include the convex polygons, th ... in the plane has at least four vertices, and another version states that a simple convex curve in the affine plane has at least six affine vertices. References * Theorems in plane geometry {{geometry-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Four-vertex Theorem
The four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane curve has at least four local extrema (specifically, at least two local maxima and at least two local minima). The name of the theorem derives from the convention of calling an extreme point of the curvature function a vertex. This theorem has many generalizations, including a version for space curves where a vertex is defined as a point of vanishing torsion. Definition and examples The curvature at any point of a smooth curve in the plane can be defined as the reciprocal of the radius of an osculating circle at that point, or as the norm of the second derivative of a parametric representation of the curve, parameterized consistently with the length along the curve. For the vertices of a curve to be well-defined, the curvature itself should vary continuously, as happens for curves of smoothness C^2. A vertex is then a local maximum or local minimum of curvature. If the curvature ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Four-vertex Theorem
The four-vertex theorem of geometry states that the curvature along a simple, closed, smooth plane curve has at least four local extrema (specifically, at least two local maxima and at least two local minima). The name of the theorem derives from the convention of calling an extreme point of the curvature function a vertex. This theorem has many generalizations, including a version for space curves where a vertex is defined as a point of vanishing torsion. Definition and examples The curvature at any point of a smooth curve in the plane can be defined as the reciprocal of the radius of an osculating circle at that point, or as the norm of the second derivative of a parametric representation of the curve, parameterized consistently with the length along the curve. For the vertices of a curve to be well-defined, the curvature itself should vary continuously, as happens for curves of smoothness C^2. A vertex is then a local maximum or local minimum of curvature. If the curvature ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rajabazar Science College
The University College of Science, Technology and Agriculture (commonly or formerly known as Rashbehari Siksha Prangan & Taraknath Palit Siksha Prangan or Rajabazar Science College & Ballygunge Science College) are two of five main campuses of the University of Calcutta (CU). The college served as the cradle of Indian Sciences by winning the Nobel Prize in Physics in 1930 and many fellowships of the Royal Society London. History Despite the fact that the Presidency College at Calcutta witnessed great scientific research by Jagadish Chandra Bose and Prafulla Chandra Ray in the last decade of the 19th and the first decade of the 20th century, first organised scientific research at Calcutta University began with the establishment of its University College of Science and Technology in March 1914. A galaxy of Indian scientists joined the Chairs set up with the income of the endowments of nearly thirty seven and half lakhs rupees donated by Sir Taraknath Palit and Sir Rashb ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bengali Language
Bengali ( ), generally known by its endonym Bangla (, ), is an Indo-Aryan languages, Indo-Aryan language native to the Bengal region of South Asia. It is the official, national, and most widely spoken language of Bangladesh and the second most widely spoken of the 22 scheduled languages of India. With approximately 300 million native speakers and another 37 million as second language speakers, Bengali is the List of languages by number of native speakers, fifth most-spoken native language and the List of languages by total number of speakers, seventh most spoken language by total number of speakers in the world. Bengali is the fifth most spoken Indo-European language. Bengali is the official language, official and national language of Bangladesh, with 98% of Bangladeshis using Bengali as their first language. Within India, Bengali is the official language of the states of West Bengal, Tripura and the Barak Valley region of the state of Assam. It is also a second official lan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Calcutta
The University of Calcutta (informally known as Calcutta University; CU) is a Public university, public collegiate university, collegiate State university (India), state university in India, located in Kolkata, West Bengal, India. Considered one of best university, state research university all over India every year, CU has topped among India's best universities several times. It has 151 affiliated undergraduate colleges and 16 institutes in Kolkata and nearby areas. It was established on 24 January 1857 and is the oldest multidisciplinary and European-style institution in Asia. Today, the university's jurisdiction is limited to a few districts of West Bengal, but at the time of establishment it had a catchment area, ranging from Lahore to Myanmar. Within India, it is recognized as a "Five-Star University" and accredited an "A+" grade by the National Assessment and Accreditation Council (NAAC). The University of Calcutta was awarded the status of "Centre with Potential for Exce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jacques Hadamard
Jacques Salomon Hadamard (; 8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex analysis, differential geometry and partial differential equations. Biography The son of a teacher, Amédée Hadamard, of Jewish descent, and Claire Marie Jeanne Picard, Hadamard was born in Versailles, France and attended the Lycée Charlemagne and Lycée Louis-le-Grand, where his father taught. In 1884 Hadamard entered the École Normale Supérieure, having placed first in the entrance examinations both there and at the École Polytechnique. His teachers included Tannery, Hermite, Darboux, Appell, Goursat and Picard. He obtained his doctorate in 1892 and in the same year was awarded the for his essay on the Riemann zeta function. In 1892 Hadamard married Louise-Anna Trénel, also of Jewish descent, with whom he had three sons and two daughters. The following year he took up a lectureship in the University of Bordeaux, where he ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wilhelm Blaschke
Wilhelm Johann Eugen Blaschke (13 September 1885 – 17 March 1962) was an Austrian mathematician working in the fields of differential and integral geometry. Education and career Blaschke was the son of mathematician Josef Blaschke, who taught geometry at the Landes Oberrealschule in Graz. After studying for two years at the Technische Hochschule in Graz, he went to the University of Vienna, and completed a doctorate in 1908 under the supervision of Wilhelm Wirtinger. His dissertation was ''Über eine besondere Art von Kurven vierter Klasse''. After completing his doctorate he spent several years visiting mathematicians at the major universities in Italy and Germany. He spent two years each in positions in Prague, Leipzig, Göttingen, and Tübingen until, in 1919, he took the professorship at the University of Hamburg that he would keep for the rest of his career. His students at Hamburg included Shiing-Shen Chern, Luis Santaló, and Emanuel Sperner. In 1933 Blaschke signed th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bethune College
Bethune College is a women's college located on Bidhan Sarani in Kolkata, India, and affiliated to the University of Calcutta. It is the oldest women's college in India. It was established as a girls' school in 1849, and as a college in 1879. History The college was founded as the Calcutta Female School in 1849 by John Elliot Drinkwater Bethune, with the financial support of Dakshinaranjan Mukherjee. The school started in Mukherjee's home in Baitakkhana, with 21 girls enrolled. The following year, enrolment rose to 80. In November, on a plot on the west side of Cornwallis Square, the cornerstone for a permanent school building was laid. The name "Hindu Female School" was inscribed on the copper-plate placed in the stone and on the ceremonial silver trowel made for the occasion. Support for the school waned after Bethune's death in August 1851. The government took it over in 1856, renaming it Bethune School after its founder in 1862–63. In 1879 it was developed into Bethu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hooghly Mohsin College
Hooghly Mohsin College (HMC) began on 1 August 1836 as the New Hooghly College. It was established by Muhammad Mohsin, who also started other colleges. On its 100th anniversary it was renamed Hooghly Mohsin College. It became affiliated to University of Calcutta since the latter's initiation in 1857. After the establishment of the University of Burdwan in 1960, the college became its constituent. Accreditation Recently, Hooghly Mohsin College has been awarded B++ grade by the National Assessment and Accreditation Council (NAAC). The college is recognized by the University Grants Commission (UGC). Hooghly Mohsin has been recognized by the University Grants Commission as a "College with Potential for Excellence." The Department of Biotechnology, government of India, has recognized it as a "STAR COLLEGE." The Department of Science & Technology, government of India, has selected this college under "Fund for Improvement of Science & Technology Infrastructure" (DST-FIST) scheme. Nota ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
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, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
