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 Showing 601 - 538 of 538 Journals sorted alphabetically Results in Control and Optimization Results in Mathematics Results in Nonlinear Analysis Review of Symbolic Logic       (Followers: 2) Reviews in Mathematical Physics       (Followers: 1) Revista Baiana de Educação Matemática Revista Bases de la Ciencia Revista BoEM - Boletim online de Educação Matemática Revista Colombiana de Matemáticas       (Followers: 1) Revista de Ciencias Revista de Educación Matemática Revista de la Escuela de Perfeccionamiento en Investigación Operativa Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Revista de Matemática : Teoría y Aplicaciones       (Followers: 1) Revista Digital: Matemática, Educación e Internet Revista Electrónica de Conocimientos, Saberes y Prácticas Revista Integración : Temas de Matemáticas Revista Internacional de Sistemas Revista Latinoamericana de Etnomatemática Revista Latinoamericana de Investigación en Matemática Educativa Revista Matemática Complutense Revista REAMEC : Rede Amazônica de Educação em Ciências e Matemática Revista SIGMA Ricerche di Matematica RMS : Research in Mathematics & Statistics Royal Society Open Science       (Followers: 7) Russian Journal of Mathematical Physics Russian Mathematics Sahand Communications in Mathematical Analysis Sampling Theory, Signal Processing, and Data Analysis São Paulo Journal of Mathematical Sciences Science China Mathematics       (Followers: 1) Science Progress       (Followers: 1) Sciences & Technologie A : sciences exactes Selecta Mathematica       (Followers: 1) SeMA Journal Semigroup Forum       (Followers: 1) Set-Valued and Variational Analysis SIAM Journal on Applied Mathematics       (Followers: 11) SIAM Journal on Computing       (Followers: 11) SIAM Journal on Control and Optimization       (Followers: 18) SIAM Journal on Discrete Mathematics       (Followers: 8) SIAM Journal on Financial Mathematics       (Followers: 3) SIAM Journal on Mathematics of Data Science       (Followers: 1) SIAM Journal on Matrix Analysis and Applications       (Followers: 3) SIAM Journal on Optimization       (Followers: 12) Siberian Advances in Mathematics Siberian Mathematical Journal Sigmae SILICON SN Partial Differential Equations and Applications Soft Computing       (Followers: 7) Statistics and Computing       (Followers: 14) Stochastic Analysis and Applications       (Followers: 3) Stochastic Partial Differential Equations : Analysis and Computations       (Followers: 2) Stochastic Processes and their Applications       (Followers: 6) Stochastics and Dynamics       (Followers: 2) Studia Scientiarum Mathematicarum Hungarica       (Followers: 1) Studia Universitatis Babeș-Bolyai Informatica Studies In Applied Mathematics       (Followers: 1) Studies in Mathematical Sciences       (Followers: 1) Superficies y vacio Suska Journal of Mathematics Education       (Followers: 1) Swiss Journal of Geosciences       (Followers: 1) Synthesis Lectures on Algorithms and Software in Engineering       (Followers: 2) Synthesis Lectures on Mathematics and Statistics       (Followers: 1) Tamkang Journal of Mathematics Tatra Mountains Mathematical Publications Teaching Mathematics       (Followers: 10) Teaching Mathematics and its Applications: An International Journal of the IMA       (Followers: 4) Teaching Statistics       (Followers: 8) Technometrics       (Followers: 8) The Journal of Supercomputing       (Followers: 1) The Mathematica journal The Mathematical Gazette       (Followers: 1) The Mathematical Intelligencer The Ramanujan Journal The VLDB Journal       (Followers: 2) Theoretical and Mathematical Physics       (Followers: 7) Theory and Applications of Graphs Topological Methods in Nonlinear Analysis Transactions of the London Mathematical Society       (Followers: 1) Transformation Groups Turkish Journal of Mathematics Ukrainian Mathematical Journal Uniciencia Uniform Distribution Theory Unisda Journal of Mathematics and Computer Science Unnes Journal of Mathematics       (Followers: 1) Unnes Journal of Mathematics Education       (Followers: 2) Unnes Journal of Mathematics Education Research       (Followers: 1) Ural Mathematical Journal Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki Vestnik St. Petersburg University: Mathematics VFAST Transactions on Mathematics       (Followers: 1) Vietnam Journal of Mathematics Vinculum Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics       (Followers: 2) Water SA       (Followers: 1) Water Waves Zamm-Zeitschrift Fuer Angewandte Mathematik Und Mechanik       (Followers: 1) ZDM       (Followers: 2) Zeitschrift für angewandte Mathematik und Physik       (Followers: 2) Zeitschrift fur Energiewirtschaft Zetetike

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Similar Journals
 The Mathematical GazetteNumber of Followers: 1      Subscription journal ISSN (Print) 0025-5572 - ISSN (Online) 2056-6328 Published by Cambridge University Press  [353 journals]
• MAG volume 106 issue 566 Cover and Front matter

Pages: 1 - 2
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.109

• MAG volume 106 issue 566 Cover and Back matter

Pages: 1 - 3
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.110

• Dropping plates

Authors: Hopkins; David
Pages: 193 - 205
Abstract: A friend of mine [1] mentioned a problem to me, which he was told had an interesting solution involving an unexpected square root. I have not seen this problem described elsewhere, so I have carried out my own analysis, which I will present here. In fact the solution involves not only square roots, but also higher roots … and a logarithm.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.59

• The real solutions of x = ax

Authors: Beardon; A. F.
Pages: 206 - 211
Abstract: We denote the real logarithm of a positive number a by ln a, so that ax = exp (x ln a), and we shall discuss what is known about the real solutions x of the equation(1)First, as exp t> 0 for all real t, each real solution x of (1) is positive.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.60

• Winning strategies: the emergence of base 2 in the game of nim

Authors: Friedman; Eric J., Landsberg, Adam S.
Pages: 212 - 219
Abstract: Many players know that the secret of winning the game of nim (and other “impartial” combinatorial games) is to write the sizes of the game’s piles in base 2 and then add them together without carry. The proof of this well-known procedure (described below) is both straightforward and convincing. Nonetheless, the procedure still appears magical, as though a rabbit has been pulled out of a hat. Astute students (and frustrated professors) often ask why the winning strategy for such games involves base 2, and not some other base. After all, nothing about the game of nim itself – the game rules, the configuration of the tokens, etc. – provides any hints about the origin of base 2 in this setting. Minimal insight is offered by most published proofs, which themselves tend to either appear almost wizardly in nature (i.e. assume the base-2 method and show that it miraculously solves the problem) or employ combinatorial arguments that supply little abstract intuition (at least to the authors of this article).
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.61

• A mathematical approximation in the physical sciences

Authors: Mahony; John D.
Pages: 220 - 232
Abstract: The business of making mathematical approximations in the physical sciences has a long and noble history. For example, in the earliest days of pyramid construction in ancient Egypt it was necessary to approximate lengths required in construction, especially when they involved irrational numbers. Similarly, surveyors in early Greece seeking to lay out profiles of right-angle triangles or circles on the ground invariably ended up making approximations regarding measurements of required lengths, as indeed is the case today. Practitioners have always faced the problem of having to decide when parameters in theory have been met satisfactorily in the practice of measurement. Further, before the advent of hand-held calculators, students in schools in the UK would have been very familiar with the approximation 22/7 for the transcendental number π, obtained perhaps by comparing (as this author did) the measured circumferences of many laboriously drawn circles of different sizes with their diameters. Despite the advent of sophisticated calculating devices and facilities, such as computers and spreadsheets, the practice of making approximations is still much in evidence in theoretical work in fields associated with physical phenomena. Such approximations often result in formulae that are easy to use and remember, and moreover can produce theoretical results that support directly, or otherwise, results from measurements. In this respect, the practical mathematician does not have to seek results to many decimal places when measurement facilities allow for accuracy to only a few. The purpose of this Article is to illustrate this point by discussing an example drawn from the realms of antenna theory, relating to the performance of a dipole antenna. It is not the purpose here to delve into the derivation of dipole theory, but to extract the relevant information and show how useful mathematical approximations can be employed to simplify a relationship between parameters of interest to an antenna engineer. To this end, it will first be necessary to introduce some antenna concepts that might be new to the reader.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.62

• A computer look at N!

Authors: Sullivan; Jerry
Pages: 233 - 241
Abstract: The product over the integers 1 to N is written as N!, is called N factorial, and is defined as: (1).
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.63

• Fibonacci-Lucas hyperbolas

Authors: Sporn; Howard
Pages: 242 - 246
Abstract: Let us define a Fibonacci-Lucas hyperbola as a hyperbola passing through an infinite number of points of the form (Fm, Ln), where the Fm are distinct Fibonacci numbers (0, 1, 1, 2, 3, 5, 8, 13, 21,…, where F0 = 0), and the Ln are distinct Lucas numbers (2, 1, 3, 4, 7, 11, 18, 29,…,. where L0 = 2). The simplest examples are 5x2 - y2 = 4, which contains the points (Fk, Lk) with odd subscripts, e.g. (1, 1), (2, 4), (5, 11), and 5x2 - y2 = -4, which contains the points with even subscripts, e.g. (0, 2), (1, 3), (3, 7); (see [1, 2]). These follow immediately from the identity(1)Our goal is to find more of these Fibonacci-Lucas hyperbolas.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.64

• Locus problems concerning centroids of a cyclic quadrilateral and two
classic cubic curves

Authors: Fried; Michael N.
Pages: 247 - 257
Abstract: On his website dedicated to questions and investigations arising out of dynamic geometry technology, Michael de Villiers has a series called Geometry Loci Doodling [1]. These are locus problems connected to the centroids of cyclic quadrilaterals – ‘centroids’ in the plural, for there are three different kinds of centroid depending whether one understands the quadrilateral in terms of its vertices, perimeter or area. The corresponding centroids are the point-mass centroid, the perimeter-centroid, and the lamina-centroid. In each case, de Villiers keeps three vertices of the quadrilateral fixed on the circumcircle, and then traces the locus of the different centroids as the fourth point moves round the circle. In this paper, I shall take a brief look at the point-mass centroid and then a lingering view of the lamina-centroid.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.65

• Dissecting attached squares

Authors: MacHale; Des
Pages: 258 - 268
Abstract: Many papers and indeed books have been written about the problem of dissecting a number of squares of different integer side length and reassembling the pieces to form a single square (see [1], [2] and [3]). For example, in the case of 32 + 42 = 52, we can achieve a four-piece dissection as follows:
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.66

• New dualities in convex quadrilaterals

Authors: Dalcín; Mario
Pages: 269 - 280
Abstract: In [1] de Villiers points out the duality between sides and angles of quadrilaterals. The first objective of this article is make explicit two new dualities in the quadrilaterals. For this we will consider the diagonal segments: if diagonals AC and BD of a quadrilateral ABCD intersect at O, we call the diagonal segments OA, OB, OC, OD. According to [2, pp. 179-188], hierarchical classifications of the convex quadrilaterals are made taking as classification criteria the quantity and position of sides, angles and diagonal segments. In hierarchical classifications the more particular concepts form subsets of the more general concepts. Through classification according to the number and position of equal sides it is possible to define six families: four sides equal, at least three equal, two opposite pairs equal, two consecutive pairs equal, at least one opposite pair equal, at least one consecutive pair equal. In the families two opposite pairs equal and two consecutive pairs equal, the pairs may be equal to each other and then the four sides are equal. So in these two families the possibility DA = AB and AB = BC is excluded. Families analogous to the previous ones can be defined taking as a criterion of hierarchical classification the quantity and position of equal angles or the quantity and position of equal diagonal segments.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.67

• The intriguing mechanics of a tractrix of cards

Authors: De; Subhranil
Pages: 281 - 290
Abstract: Figure 1 shows the photograph of a tractrix made of cards. This is a simple yet captivating way to make a tractrix — an arrangement that has recently appeared in some engaging pedagogical resources and literature [1, 2]. When closely spaced cards lean like this, one after another, over a horizontal plane, the contour created is a tractrix — a curve of significance in mathematics, since its revolution around its asymptote produces a pseudosphere: a curved surface with constant negative Gaussian curvature [3, 4].
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.68

• On the class of an integer triangle

Pages: 291 - 299
Abstract: Any mathematics student who has ever used the cosine rule to investigate simple properties of an integer triangle will immediately have realised that the cosine of each angle of the triangle must be a rational number. It is clear, however, that the same is not in general true for the sines. In [1], it is shown how to use a property of the sines of the angles of an integer triangle to categorise the triangle as being of a particular class. In this article, we develop some of the concepts and results of [1] to derive a method for generating integer triangles of a given class. Finally, we apply our results to find all primitive integer triangles in the particular case of Heronian triangles.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.69

• Monotonic series for fractions near π and their convergents

Authors: Lucas; Stephen K., Nimbran, Amrik Singh
Pages: 300 - 309
Abstract: We describe various methods to derive monotonic infinite series for fractions near π and obtain a variety of series for the special case of its convergents. These series immediately show that π is clearly different from these fractions, replicating with series the results in Dalzell [1, 2] and Lucas that used integrals with non-negative integrands to represent the gaps between π and fractions.
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.70

• 106.17 An interesting spin-off

Authors: De; Prithwijit, Bhattacharya, Sutanay
Pages: 310 - 312
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.71

• 106.18 Impossibility of solving the quintic using Cardano’s Solution

Authors: Ohyama; Hiroshi
Pages: 312 - 315
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.72

• 106.19 Some observations on inequalities related to Huygens’
inequality

Authors: Lord; Nick
Pages: 316 - 318
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.73

• 106.20 When do we have 1 + 1 = 11 and
2 + 2 = 5'

Pages: 319 - 323
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.74

• 106.21 A class of interesting integrals

Authors: Levrie; Paul, Nimbran, Amrik Singh
Pages: 323 - 325
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.75

• 106.22 The golden ratio represented by a tangent

Authors: Yoshida; Norio
Pages: 325 - 329
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.76

• 106.23 Proof without words: sin 3x = 3 sin x − 4 sin3x

Authors: Subramaniam; K. B., Thomas, Aji
Pages: 330 - 330
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.77

• 106.24 Proof without words: a Riemann sum

Authors: Plaza; Ángel
Pages: 331 - 331
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.78

• 106.25 Three discs for the incentre

Authors: Lukarevski; Martin, Scott, J. A.
Pages: 332 - 335
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.79

• 106.26 The nested polygons problem revisited

Authors: Lord; Nick
Pages: 335 - 338
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.80

• 106.27 An interesting application of Ptolemy's inequality

Authors: Tho; Nguyen Xuan
Pages: 338 - 340
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.81

• 106.28 Inequalities involving the inradius and altitudes of a triangle

Authors: Tho; Nguyen Xuan
Pages: 341 - 342
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.82

• 106.29 An improvement on the Garfunkel-Bankoff inequality

Authors: Jiang; Wei-Dong
Pages: 342 - 344
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.83

• 106.30 Threshold functions and the birthday paradox

Authors: Bevan; David
Pages: 344 - 348
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.84

• On ‘What makes a good Proof without Words’

Authors: Lukarevski; Martin
Pages: 349 - 349
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.86

• On ‘A pretty series revisited’

Authors: Jameson; Graham
Pages: 350 - 350
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.87

• On ‘Correct answer – dodgy method’

Authors: Lund-Hansen; Lars
Pages: 350 - 351
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.88

• On 105.28

Authors: Beardon; Alan
Pages: 351 - 351
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.89

• Problem Corner

Authors: L; N.J.
Pages: 352 - 357
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.90

• Student Problems

Authors: Woollacott; Beth
Pages: 358 - 360
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.91

• Pack up a penguin, journeys into the mathematics of area by Chris
Pritchard, pp. 240, £19.00 (MA members £13.30), ISBN 978-1-91161-608-5,
The Mathematical Association (2020)

Authors: Hall; Peter
Pages: 361 - 361
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.92

• Arts & minds: how the Royal Society of Arts changed a nation by Anton
Howes, pp. 387, £30 (hard), ISBN: 978-0-69118-264-3, Princeton University
Press (2020)

Authors: Crilly; Tony
Pages: 362 - 363
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.93

• Frank Ramsey: a sheer excess of powers by Cheryl Misak, pp. 537, £25
(hard), ISBN 978-0-19875-535-7, Oxford University Press (2020)

Authors: Crilly; Tony
Pages: 363 - 366
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.94

• The secret formula by Fabio Toscano, pp. 161, £22 (hard), ISBN
978-0-69118-367-1, Princeton University Press (2020)

Authors: Toller; Owen
Pages: 366 - 367
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.95

• The flying mathematicians of World War I by Tony Royle, pp. 269, £22.50

Authors: Crilly; Tony
Pages: 367 - 370
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.96

• Africa and mathematics: from colonial findings back to the Ishango Rods by
Dirk Huylebrouck, pp. 229, £27.99 (hardback), ISBN 978-3-03004-036-9
Springer Verlag (2019).

Pages: 370 - 371
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.97

• Mathematics is the poetry of science by Cédric Villani, translated by
Malcolm DeBevoise, pp 69, £9.99, ISBN 978-0-19-884643-7, Oxford
University Press (2020)

Authors: Leversha; Gerry
Pages: 371 - 372
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.98

• Representations of finite groups of Lie type (2nd edn.) by Francois Digne
and Jean Michel, pp 172, £37.99 (paper), ISBN 978-1-10872-262-9,
Cambridge University Press (2020)

Authors: Hunacek; Mark
Pages: 372 - 373
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.99

• Quantitative reasoning by Eric Zaslow, pp. 227, £26.99 (paper), ISBN

Authors: Hall; Peter
Pages: 374 - 375
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.100

• An introduction to functional analysis by James C. Robinson, pp 248,
£29.99 (paper), ISBN 978-0-52172-839-3, Cambridge University Press (2020)

Authors: Hunacek; Mark
Pages: 375 - 376
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.101

• A modern introduction to differential equations (3rd edn.) by Henry J.
Ricardo, pp. 539, £115 (hard), ISBN 978-0-12823-417-4, Academic
Press/Elsevir (2020)

Authors: Toller; Owen
Pages: 376 - 377
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.102

• The wonder book of geometry by David Acheson, pp. 280, £12.99, ISBN
978-0-19-884638-3, Oxford University Press (2020)

Authors: Leversha; Gerry
Pages: 377 - 378
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.103

• Thinking probabilistically by Ariel Amir, pp. 242, £39.99 (paper), ISBN
978-1-10878-998-1, Cambridge University Press (2021) (e-copy reviewed)

Authors: Toller; Owen
Pages: 378 - 379
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.104

• Fundamentals of graph theory by Allan Bickle, pp. 336, $85, ISBN 978-1-4704-5342-8, American Mathematical Society (2020) • Free pre-print version: Loading... Authors: Hunacek; Mark Pages: 379 - 380 PubDate: 2022-06-22 DOI: 10.1017/mag.2022.105 • Algorithms by Panos Louridas, pp. 312,$15.95 (paper), ISBN
978-0-26253-902-9, MIT Press (2020)

Authors: Aaronson; Hugo
Pages: 380 - 381
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.106

• The best writing on mathematics 2019 by Mircea Pitici (ed.), pp. 272,
£20.00, ISBN 978-0-691-19835-4, Princeton University Press (2019)

Authors: Leversha; Gerry
Pages: 381 - 382
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.107

• The mathematics lover’s companion by Edward Scheinerman, pp. 274,
£12.99 (paper), ISBN 978-0-30025-539-3, Yale University Press (2021)

Authors: Toller; Owen
Pages: 383 - 383
PubDate: 2022-06-22
DOI: 10.1017/mag.2022.108

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