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The Book of Squares by Fibonacci is a gem in the mathematical literature and one of the most important mathematical treatises written in the Middle Ages. It is a collection of theorems on indeterminate analysis and equations of second degree which yield, among other results, a solution to a problem proposed by Master John of Palermo to Leonardo at the Court of Frederick II. The book was dedicated and presented to the Emperor at Pisa in 1225. Dating back to the 13th century the book exhibits the early and continued fascination of men with our number system and the relationship among numbers with special properties such as prime numbers, squares, and odd numbers. The faithful translation into modern English and the commentary by the translator make this book accessible to professional mathematicians and amateurs who have always been intrigued by the lure of our number system.
Two Squares examines the changing role of public space in the cities of Beirut and Istanbul as they undergo major redevelopment. The study of Beirut looks at the redesign of Martyrs' Square, and in Istanbul, the focus is on Sirkeci Square.
This textbook has been in constant use since 1980, and this edition represents the first major revision of this text since the second edition. It was time to select, make hard choices of material, polish, refine, and fill in where needed. Much has been rewritten to be even cleaner and clearer, new features have been introduced, and some peripheral topics have been removed. The authors continue to provide real-world, technical applications that promote intuitive reader learning. Numerous fully worked examples and boxed and numbered formulas give students the essential practice they need to learn mathematics. Computer projects are given when appropriate, including BASIC, spreadsheets, computer algebra systems, and computer-assisted drafting. The graphing calculator has been fully integrated and calculator screens are given to introduce computations. Everything the technical student may need is included, with the emphasis always on clarity and practical applications.
Fall is here, with all its wonderful visual delights—not just colors, but shapes! This clever concept book follows a family on a trip to a pumpkin patch and invites children to pick out shapes from the seasonal scenery—apple bushel circles, square hay bales, diamond kites in the autumn sky! Felicia Sanzari Chernesky’s sweet verses are perfectly complemented by Susan Swan’s gorgeous collage-inspired art.
This book takes the reader on a journey from familiar high school mathematics to undergraduate algebra and number theory. The journey starts with the basic idea that new number systems arise from solving different equations, leading to (abstract) algebra. Along this journey, the reader will be exposed to important ideas of mathematics, and will learn a little about how mathematics is really done. Starting at an elementary level, the book gradually eases the reader into the complexities of higher mathematics; in particular, the formal structure of mathematical writing (definitions, theorems and proofs) is introduced in simple terms. The book covers a range of topics, from the very foundations (numbers, set theory) to basic abstract algebra (groups, rings, fields), driven throughout by the need to understand concrete equations and problems, such as determining which numbers are sums of squares. Some topics usually reserved for a more advanced audience, such as Eisenstein integers or quadratic reciprocity, are lucidly presented in an accessible way. The book also introduces the reader to open source software for computations, to enhance understanding of the material and nurture basic programming skills. For the more adventurous, a number of Outlooks included in the text offer a glimpse of possible mathematical excursions. This book supports readers in transition from high school to university mathematics, and will also benefit university students keen to explore the beginnings of algebraic number theory. It can be read either on its own or as a supporting text for first courses in algebra or number theory, and can also be used for a topics course on Diophantine equations.
What's a schnibble? A little bit or leftover--as in those fabric bits you're ready to use up! What could be more fun than a small quilt from 5" charm squares? A large one just like it from 10" Layer Cake squares! Enjoy 12 pairs of beautiful quilts, with a large and small quilt in each design, from the creative mind behind Miss Rosie's Quilt Company. Each quilt includes a materials and cutting list, and the assembly directions are the same for both quilts in each set. Learn from Moda's go-to gal for quilt designs. This author knows her stuff!
In this important collection, eighteen renowned writers, including David Remnick, Zadie Smith, Rebecca Skloot, Rory Stewart, and Adam Gopnik evoke the spirit and history of some of the world’s most recognized and significant city squares, accompanied by illustrations from equally distinguished photographers. Over half of the world’s citizens now live in cities, and this number is rapidly growing. At the heart of these municipalities is the square—the defining urban public space since the dawn of democracy in Ancient Greece. Each square stands for a larger theme in history: cultural, geopolitical, anthropological, or architectural, and each of the eighteen luminary writers has contributed his or her own innate talent, prodigious research, and local knowledge. Divided into three parts: Culture, Geopolitics, History, headlined by Michael Kimmelman, David Remnick, and George Packer, this significant anthology shows the city square in new light. Jehane Noujaim, award-winning filmmaker, takes the reader through her return to Tahrir Square during the 2011 protest; Rory Stewart, diplomat and author, chronicles a square in Kabul which has come and gone several times over five centuries; Ari Shavit describes the dramatic changes of central Tel Aviv’s Rabin Square; Rick Stengel, editor, author, and journalist, recounts the power of Mandela’s choice of the Grand Parade, Cape Town, a huge market square to speak to the world right after his release from twenty-seven years in prison; while award-winning journalist Gillian Tett explores the concept of the virtual square in the age of social media. This collection is an important lesson in history, a portrait of the world we live in today, as well as an exercise in thinking about the future. Evocative and compelling, City Squares will change the way you walk through a city. Contributors include: David Adjaye on Jemma e-Fnna, Marrakech • Anne Applebaum on Red Square, Moscow and Grand Market Square, Krakow • Chrystia Freeland on Euromaiden, Kiev • Adam Gopnik on Place des Vosges, Paris • Alma Guillermoprieto on Zocalo, Mexico City • Jehane Noujaim on Tahrir Square, Cairo • Evan Osnos on Tiananmen Square, Beijing • Andrew Roberts on Residential Squares, London • Elif Shafak on Taksim Square, Istanbul • Rebecca Skloot on American Town Squares • Ari Shavit on Rabin Square, Tel Aviv • Zadie Smith on the grand piazzas of Rome and Venice • Richard Stengel on Market Square, Grand Parade, Cape Town • Rory Stewart on Murad Khane, Kabul • Plus contributions by Gillian Tett, George Packer, David Remnick, and Michael Kimmelman; illustrations and photographs from renowned photographers, including: Thomas Struth, Philip Lorca di Corcia, and Josef Koudelka
An introduction to shapes through the acclaimed art of Josef Albers The influential art of Josef Albers is used to teach shapes in this stylish read-aloud board book, which takes children through Albers' range of geometrics, one artwork per page, beginning with squares and returning to them as a familiar refrain throughout. The variance of colour, scale, and quantity adds to the richness of the visual arc, and the accompanying text provides a humorous and engaging commentary. Readers will not only learn their shapes, but also grow familiar with fine art in this second title in the 'First Concepts with Fine Artists' series. Includes a read-aloud 'about the artist' at the end.