We’re always on the lookout for new ideas and ways of using the Wolfram Language that our users produce and choose to write about in their books. In this quarter, we have applications that bridge the gap between art and geometry, and demonstrate intuitive data analysis. In addition to writing books, Wolfram welcomes authors to submit articles for publication in The Mathematica Journal, our very own in-house periodical.

A Primer of NMR Theory with Calculations in Mathematica

This text, written by Alan J. Benesi, presents the theory of NMR enhanced with Mathematica notebooks in short, focused chapters with brief explanations of well-defined topics, placing an emphasis on mathematical descriptions. Readers will find essential results from quantum mechanics that are concise and easy to use in predicting and simulating the results of NMR experiments. Mathematica notebooks implement the theory in the form of text, graphics, sound, and calculations. Based on class-tested methods developed by the author over his 25-year teaching career, these notebooks show exactly how the theory works and provide useful calculation templates for NMR researchers.

Clojure Data Analysis Cookbook, Second Edition

As data invades more and more of life and business, the need to analyze it effectively has never been greater. With Clojure and this book by Eric Rochester, you’ll soon be getting to grips with every aspect of data analysis, including working with Mathematica and R. You’ll start with practical recipes that show you how to load and clean your data, then get concise instructions to perform all the essential analysis tasks from basic statistics to sophisticated machine learning and data clustering algorithms. Get a more intuitive handle on your data through hands-on visualization techniques that allow you to provide interesting, informative, and compelling reports, and use Clojure to publish your findings to the web.

Geometric Design, An Artful Portfolio of Mathematical Graphics

Aristotle would have said that a geometer considers the shapes of things in the natural world not insofar as shapes are physical, but rather by abstracting the qualities of figure from the things themselves. In a philosophical sense, this book by Christopher Alan Arthur is thus one about geometry. Clearly for the mathematical reader at a level of study somewhat exceeding vector calculus, the book, with graphics and images produced with Mathematica, presents new possibilities of exotic shapes (by their torsion or concavity) still having desirable qualities such as differentiability, self-similarity, or compactness. Included in this book are many full-color pictures of tessellations, polyhedrons, unusual curves and surfaces, and fractals, along with their generating equations, coordinates, and diagrams.

Extension of Mathematica System Functionality

More and more, systems of computer mathematics find broader application in a number of natural, economical, and social fields. This book, by Viktor Aladjev and V. A. Vaganov, focuses on modular programming supported by Mathematica, one of the leaders in this field. Software tools presented in the book contain a number of useful and effective methods of procedural and functional programming that extend the system software and make it easier and more efficient to program the objects for various purposes. Furthermore, the book comes with freeware package AVZ_Package, which contains more than 680 procedures, functions, global variables, and other program objects.

New Symbolic Solutions of Biot’s 2D Pore Elasticity Problem

Alexander N. Papusha and Denis P. Gontarev’s article in The Mathematica Journal presents new symbolic solutions for the problem of pore elasticity and pore pressure. These techniques are based on the classic theoretical approach proposed by M. A. Biot. Both new symbolic and numerical solutions are applied to solve problems arising in offshore design technology, specifically dealing with the penetration of a gravity-based rig installed in the Arctic region of the North Sea of Russia. All symbolic approaches are based on solutions of the linear problem of the pore elasticity for homogeneous soil.

If you are interested in submitting an article to be considered for publication in The Mathematica Journal, check out our submissions page for material guidelines and more information. And for those of you who wish to be a part of the community of authors that have worked with Wolfram technologies, feel free to join the discussions taking place in our Authoring and Publishing group on Wolfram Community.