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The Fourth Dimension
A detailed description of what the fourth dimension would be like.
Flatland
Flatland (1884) is an influential mathematical fantasy that simultaneously provides an introduction to non-Euclidean geometry and a satire on the Victorian class structure, issues of science and faith, and the role of women. A classic of early science fiction, the novel takes place in a world of two dimensions where all the characters are geometric shapes. The narrator, A Square, is a naïve, respectable citizen who is faced with proof of the existence of three dimensions when he is visited by a sphere and is forced to see the limitations of his world. The introduction to this Broadview Edition provides context for the book’s references to Victorian culture and religion, mathematical history, and the history of philosophy. The appendices contain contemporary reviews; extracts from the work of fellow mathematical fantasy writer/mathematician Charles Hinton; Hermann von Helmboltz’s “The Axioms of Geometry” (1870); and autobiographical passages from Abbott’s The Kernel and the Husk (1886).
Symmetry, Shape and Space
This book will appeal to at least three groups of readers: prospective high school teachers, liberal arts students, and parents whose children are studying high school or college math. It is modern in its selection of topics, and in the learning models used by the authors. The book covers some exciting but non-traditional topics from the subject area of geometry. It is also intended for undergraduates and tries to engage their interest in mathematics. Many innovative pedagogical modes are used throughout.
Other Worlds
Christopher White points to ways that both spiritual practices and scientific speculation about multiverses and invisible dimensions are efforts to peer into the hidden elements and even existential meaning of the universe. Creatively appropriated, these ideas can restore a spiritual sense that the world is greater than anything our eyes can see.
Constraint Theory
Packed with new material and research, this second edition of George Friedman’s bestselling Constraint Theory remains an invaluable reference for all engineers, mathematicians, and managers concerned with modeling. As in the first edition, this text analyzes the way Constraint Theory employs bipartite graphs and presents the process of locating the “kernel of constraint” trillions of times faster than brute-force approaches, determining model consistency and computational allowability. Unique in its abundance of topological pictures of the material, this book balances left- and right-brain perceptions to provide a thorough explanation of multidimensional mathematical models. Much of th...
Einstein's Heroes
Blending science, history, and biography, this book reveals the mysteries of mathematics, focusing on the life and work of three of Albert Einstein's heroes: Isaac Newton, Michael Faraday, and James Clerk Maxwell.
The Sex Column and Other Misprints
A collection of columns by the author, some previously published in SFX magazine.
Building Imaginary Worlds
Mark J.P. Wolf’s study of imaginary worlds theorizes world-building within and across media, including literature, comics, film, radio, television, board games, video games, the Internet, and more. Building Imaginary Worlds departs from prior approaches to imaginary worlds that focused mainly on narrative, medium, or genre, and instead considers imaginary worlds as dynamic entities in and of themselves. Wolf argues that imaginary worlds—which are often transnarrative, transmedial, and transauthorial in nature—are compelling objects of inquiry for Media Studies. Chapters touch on: a theoretical analysis of how world-building extends beyond storytelling, the engagement of the audience, a...
Math Mutation Classics
Use math in unique ways to analyze things you observe in life and use proof to attain the unexpected. There is quite a wide diversity of topics here and so all age levels and ability levels will enjoy the discussions. You'll see how the author's unique viewpoint puts a mathematical spin on everything from politicians to hippos. Along the way, you will enjoy the different point of view and hopefully it will open you up to a slightly more out-of-the-box way of thinking. Did you know that sometimes 2+2 equals 5? That wheels don't always have to be round? That you can mathematically prove there is a hippopotamus in your basement? Or how to spot four-dimensional beings as they pass through your k...
Flatland
How would a creature limited to two dimensions be able to grasp the possibility of a third? In Flatland, A Square's linear world is invaded by a Sphere bringing the gospel of the third dimension. Part geometry lesson, part social satire, the novel enlarges readers' imaginations beyond the limits of our 'respective dimensional prejudices'.
