"Math concepts: perspective, compositions, symmetry"--Cover.

An “accessible and engaging” tool for understanding the branch of mathematics that is so crucial to modern computer science, using real-life problems (Mathematical Reviews). What is the maximum number of pizza slices one can get by making four straight cuts through a circular pizza? How does a computer determine the best set of pixels to represent a straight line on a computer screen? How many people at a minimum does it take to guard an art gallery? Discrete mathematics has the answer to these—and many other—questions of picking, choosing, and shuffling. T. S. Michael’s gem of a book brings this vital but tough-to-teach subject to life using examples from the real world and popular culture. Each chapter uses one problem—such as slicing a pizza—to detail key concepts about counting numbers and arranging finite sets. Michael takes a different perspective in tackling each of eight problems and explains them in differing degrees of generality, showing in the process how the same mathematical concepts appear in varied guises and contexts. In doing so, he imparts a broader understanding of the ideas underlying discrete mathematics and helps readers appreciate and understand mathematical thinking and discovery. This book explains the basic concepts of discrete mathematics and demonstrates how to apply them in largely nontechnical language. The explanations and formulas can be grasped with a basic understanding of linear equations.

This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.

Ever wish you'd paid more attention in math class? From third grade to senior year of high school, it went in one ear and out the other, didn't it? But now you're staring at the new washer and dryer, trying to figure out the percentage of sales tax on the purchase price. You multiply something by something, right? Or you're scratching your head, wondering how to compute the odds that your football team will take next Sunday's game. You're pretty sure that involved ratios. The problem is, you can't quite remember. Here you get an adult refresher and real-life context—with examples ranging from how to figure out how many shingles it takes to re-roof the garage to the formula for resizing Mom's tomato sauce recipe for your entire family. Forget higher calculus—you just need an open mind. And with this practical guide, math can stop being scary and start being useful.

This international survey of contemporary painting by a leading author features artwork from over 250 renowned artists whose ideas and aesthetics characterize the painting of our time. The twentieth century brought radical changes in art—including the shift from modernism to postmodernism—which were accompanied by fierce debates regarding the place of painting in contemporary culture. Contemporary Painting argues that the medium has not only persisted in the twenty-first century but expanded and evolved alongside changes in art, technology, politics, and other factors, developing a unique energy and diversity. Renowned critic and art historian Suzanne Hudson offers an intelligent and original survey of the subject, organized into seven thematic chapters, each of which explores an aspect of contemporary painting, from appropriation to the ways in which artists address and engage the body. Hudson’s inclusive and compelling text is sensitive to issues such as queer narratives, race, activism, and climate and demonstrates the continued relevance of painting today. Bringing together more than 250 eminent artists from around the world, such as Cecily Brown, Julie Mehretu, Theaster Gates, Kara Walker, Kehinde Wiley, Takashi Murakami, and Zhang Xiaogang, this is an essential volume for art history enthusiasts, students, critics, and practitioners interested in discovering how painting is approached, reimagined, and challenged by today’s artists.

A little boy visits an art museum for the first time in this fun, sweet picture book about first experiences and seeing things from new perspectives. Simon is having a great time at the museum with his parents. There are slippery, slidey floors! Pigeons flying around the reflecting pool! And cheesecake in the café! But they’re not really here for any of that. No, Simon has to look at art. And more art. So. Much. Art. There’s so much art that soon Simon needs to take a break and finds somewhere to sit. From his bench, he begins to notice how many different people are visiting the museum and the many different ways they react to the art they see. Some people are alone. Some are in groups. Some people smile. Some shake their heads. Some even shed a tear. And Simon is right in the center of it, watching until he’s inspired to give all the art another try. By the end of the day, he may even find a piece that can rival a slice of cheesecake!

A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the "New York Times."