School of Mathematics and Statistics - Research Publications

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    Computational Mathematics with SageMath
    Zimmermann, P ; Casamayou, A ; Cohen, N ; Connan, G ; Dumont, T ; Fousse, L ; Maltey, F ; Meulien, M ; Mezzarobba, M ; Pernet, C ; Thiéry, NM ; Bray, E ; Cremona, J ; Forets, M ; Ghitza, A ; Thomas, H (Society for Industrial and Applied Mathematics, 2018-12-10)
    Flip to almost any random page in this amazing book, and you will learn how to play with and visualize some beautiful part of mathematics.
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    Nonlocal Diffusion and Applications
    Bucur, C ; Valdinoci, E (SPRINGER, 2016)
    We consider the fractional Laplace framework and provide models and theorems related to nonlocal diffusion phenomena. Some applications are presented, including: a simple probabilistic interpretation, water waves, crystal dislocations, nonlocal phase transitions, nonlocal minimal surfaces and Schr\"{o}dinger equations. Furthermore, an example of an $s$-harmonic function, the harmonic extension and some insight on a fractional version of a classical conjecture formulated by De Giorgi are presented. Although this book aims at gathering some introductory material on the applications of the fractional Laplacian, some proofs and results are original. Also, the work is self contained, and the reader is invited to consult the rich bibliography for further details, whenever a subject is of interest.
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    Learning arithmetic blocks: a concrete model for teaching decimals
    Archer, Shona ; Condon, Caroline ; STACEY, KAYE ; STEINLE, VICKI ; McCarthy, Heather ; Helme, Sue ; Sullivan, Gerard ; Tromp, Calvin (Department of Science and Mathemtics Education, 2006)
    This booklet is an introduction to using the LAB model with your students. It outlines a number of activities using LAB to assist students in gaining an understanding of the decimal number system.
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    Lesson ideas and activities for teaching decimals
    Condon, Caroline ; Archer, Shona ; STACEY, KAYE ; STEINLE, VICKI ; Scott, Nick ; Helme, Sue ; Sullivan, Gerard ; Tromp, Calvin (Department of Science and Mathematics Education, 2006)
    The Department of Science and Mathematics Education has produced this booklet to assist teachers with students learning to work confidently with decimal numbers. It contains many classroom activities that will motivate and engage students making the teaching and learning of decimals both enjoyable and effective.