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The Mathematical Gazette

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Published on behalf of The Mathematical Association

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The Mathematical Gazette
ISSN: 0025-5572

EISSN: 2056-6328

URL: /core/journals/mathematical-gazette
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The Mathematical Gazette

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Volume 107 - November 2023

Notes

107.17 Two curios related to lattice polygons

107.01 A simple integral representation of the Fibonacci numbers

107.31 Obtaining a more general result from a functional equation by not differentiating

107.02 Collatz conjecture: coalescing orbits and conditions on a minimum counterexample

107.32 A new inductive proof of the AM - GM inequality

107.18 A two-variable approach to some standard optimisation problems

107.19 A quadratic harmonic approximation

107.33 On the antiderivatives of a monotone function and its inverse

107.03 Archimedes and the ungula

107.20 Euler’s constant and the speed of convergence

107.04 A geometric telescope revisited

107.34 On a staircase function

107.05 The final solution of a quasi-palindromic

107.21 Proof Without Words: An inverse tangent inequality

107.35 Two definite integrals that are (not surprisingly) equal

107.36 Similarities and circle-preserving bijections of the plane

107.06 Proving inequalities via definite integration: a visual approach

107.22 Quick proofs of two inequalities related to the digamma function

107.07 A geometric illustration for infinite sequences and series

107.23 Location of the inarc circle and its point of contact with the circumcircle

The Mathematical Gazette

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Volume 107 - November 2023

Notes