(1) The Elements of Plane Geometry (2) A Primer of Trigonometry for Engineers: With Numerous Worked Practical Examples (3) Pure Mathematics for Engineers (4) A Second Course in Mathematics for Technical Students (5) Elementary Applied Mathematics: A Practical Course for General Students (6) The Laws of Mechanics: A Supplementary Text-book (7) Elementary Dynamics: A Text-book for Engineers

Nature ◽  
1921 ◽  
Vol 107 (2683) ◽  
pp. 134-136
Author(s):  
H. B. H.
Keyword(s):  
Applied Mathematics ◽  
Plane Geometry ◽  
Text Book ◽  
Technical Students ◽  
Pure Mathematics ◽  
Supplementary Text

scholarly journals Fractional Derivatives and Integrals: What Are They Needed For?

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 164 ◽  
Author(s):  
Vasily E. Tarasov ◽  
Svetlana S. Tarasova
Keyword(s):  
Power Law ◽  
Applied Mathematics ◽  
Mathematical Problem ◽  
Frequency Dispersion ◽  
Point Of View ◽  
Fading Memory ◽  
Fractional Operator ◽  
Distributed Lag ◽  
Pure Mathematics ◽  
New Research

The question raised in the title of the article is not philosophical. We do not expect general answers of the form “to describe the reality surrounding us”. The question should actually be formulated as a mathematical problem of applied mathematics, a task for new research. This question should be answered in mathematically rigorous statements about the interrelations between the properties of the operator’s kernels and the types of phenomena. This article is devoted to a discussion of the question of what is fractional operator from the point of view of not pure mathematics, but applied mathematics. The imposed restrictions on the kernel of the fractional operator should actually be divided by types of phenomena, in addition to the principles of self-consistency of mathematical theory. In applications of fractional calculus, we have a fundamental question about conditions of kernels of fractional operator of non-integer orders that allow us to describe a particular type of phenomenon. It is necessary to obtain exact correspondences between sets of properties of kernel and type of phenomena. In this paper, we discuss the properties of kernels of fractional operators to distinguish the following types of phenomena: fading memory (forgetting) and power-law frequency dispersion, spatial non-locality and power-law spatial dispersion, distributed lag (time delay), distributed scaling (dilation), depreciation, and aging.

Applied Mathematics in High Schools. Some Lessons from the War

1919 ◽  
Vol 12 (1) ◽  
pp. 17-22
Author(s):  
William E. Breckenridge
Keyword(s):  
High Schools ◽  
Applied Mathematics ◽  
Plane Geometry ◽  
Ratio And Proportion ◽  
Adequate Supply ◽  
Original Intention

The war revealed to us America unprepared in mathematical training as in most other respects. A Colonel in Camp Upton reported as follows: “More men are required at Camp Taylor for the Field Artillery and no more can be found in this Camp who have the required mathematical training.” What was this required training? The circular from Camp Taylor read: “Algebra through quadratics and Plane Geometry. The solution of triangles by Trigonometry is advised, but not required for entrance.” As a matter of fact the essential algebra as revealed by the examinations set included hardly more than the use of formulas and ratio and proportion, while the goemetry was only mensuration. The original intention of the examiners for the Field Artillery School was to require all candidates to be graduates of high schools, but it was soon evident that this standard could not be maintained and an adequate supply of men secured. For the school at Fort Monroe, where men were trained for the Heavy or Coast Artillery, the requirement in mathematics was considerably more, including Plane Trigonometry.

Non-Euclidean Geometry

1922 ◽  
Vol 15 (8) ◽  
pp. 445-459
Author(s):  
W. H. Bussey
Keyword(s):  
Elementary Theory ◽  
Elementary Geometry ◽  
Columbia University ◽  
Text Book ◽  
Non Euclidean Geometry ◽  
Pure Mathematics ◽  
Standard Text ◽  
Euclid’S Elements ◽  
Systematic Exposition ◽  
Standard Text Book

About 2200 years ago there was published in Greek one of the most remarkable books of all times, Euclid's “Elements of Geometry”. It contains a systematic exposition of the leading propositions of elementary geometry and the elementary theory of numbers. It was at once adopted by the Greeks as the standard text book on pure mathematics. The parts that relate to elementary geometry were the standard text book for centuries and are still in use in England to-day. The English school boy does not say “Geometry”, he says “Euclid”. On the Continent of Europe “Euclid” was superseded by Legendre's “Elements of Geometry”, the first edition of which was published in 1794. A translation into English by a man named Davies was widely used in this country. (It was used at Columbia University as late as 1905). But that has been superseded by more modern American texts of which there is now a large number.

scholarly journals Horace Lamb and the circumstances of his appointment at Owens College

2012 ◽  
Vol 67 (2) ◽  
pp. 139-158 ◽  
Author(s):  
Brian Launder
Keyword(s):  
Applied Mathematics ◽  
South Australia ◽  
Critical Juncture ◽  
Classical Fluid ◽  
Sequence Of Events ◽  
Pure Mathematics ◽  
Research In Education

This paper examines a succession of incidents at a critical juncture in the life of Professor Horace Lamb FRS, a highly regarded classical fluid mechanicist, who, over a period of some 35 years at Manchester, made notable contributions in research, in education and in wise administration at both national and university levels. Drawing on archived documents from the universities of Manchester and Adelaide, the article presents the unusual sequence of events that led to his removing from Adelaide, South Australia, where he had served for nine years as the Elder Professor of Mathematics, to Manchester. In 1885 he was initially appointed to the vacant Chair of Pure Mathematics at Owens College and then, in 1888, as an outcome of his proposal for rearranging professorial responsibilities, to the Beyer Professorship of Pure and Applied Mathematics.

Berlin Roots – Zionist Incarnation: The Ethos of Pure Mathematics and the Beginnings of the Einstein Institute of Mathematics at the Hebrew University of Jerusalem

2004 ◽  
Vol 17 (1-2) ◽  
pp. 199-234 ◽  
Author(s):  
Shaul Katz
Keyword(s):  
Middle East ◽  
Applied Mathematics ◽  
Jewish People ◽  
Controversial Issue ◽  
Academic Needs ◽  
German Mathematician ◽  
Pure Mathematics ◽  
Hebrew University

Officially inaugurated in 1925, the Hebrew University of Jerusalem was designed to serve the academic needs of the Jewish people and the Zionist enterprise in British Mandatory Palestine, as well as to help fulfill the economic and social requirements of the Middle East. It is intriguing that a university with such practical goals should have as one of its central pillars an institute for pure mathematics that purposely dismissed any of the varied fields of applied mathematics. This paper tells of the preparations for the inauguration of the Hebrew University during the years 1920–1925 and analyzes the founding phase of the Einstein Institute of Mathematics that was established there during the years 1924–1928. Special emphasis is given to the first terms in which this Institute operated, starting from the winter of 1927 with the activities of the director and one of the founders, the German mathematician Edmund Landau, and onward from 1928 when his successors, particularly Adolf Abraham Halevi Fraenkel and Mihály-Michael Fekete, continued Landau's heritage of pure mathematics. The paper shows why and how the Institute succeeded in rejecting applied mathematics from its court and also explores the controversial issue of center and periphery in the development of science, a topic that is briefly analyzed in the concluding section.

Applied Mathematics for Technical Students.

1945 ◽  
Vol 52 (8) ◽  
pp. 455
Author(s):  
P. C. Rosenbloom ◽  
M. S. Corrington
Keyword(s):  
Applied Mathematics ◽  
Technical Students
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