The Geometry Of Love Between The Elements

This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the emphasis is placed on providing accurate proofs, similar to the originals, the discussion is broadened to include aspects that pertain to the methodology of the development of mathematics and to the philosophy of mathematics. Works of prominent mathematicians and logicians are reviewed, including Cantor, Dedekind, Schröder, Bernstein, Borel, Zermelo, Poincaré, Russell, Peano, the Königs, Hausdorff, Sierpinski, Tarski, Banach, Brouwer and several others mainly of the Polish and the Dutch schools. In its attempt to present a diachronic narrative of one mathematical topic, the book resembles Lakatos’ celebrated book Proofs and Refutations. Indeed, some of the observations made by Lakatos are corroborated herein. The analogy between the two books is clearly anything but superficial, as the present book also offers new theoretical insights into the methodology of the development of mathematics (proof-processing), with implications for the historiography of mathematics.

'A collection suspended in a perpetual state of homecoming. Bolger navigates the worlds she inhabits with both the feverishness of a new rasika and the familiarity of an insider'. -- Arundhathi Subramaniam ' A generous and humbling collection that dances lightly between languages. Often angry and vital, Bolger sharpens her words and brings us on a journey that embraces both the sensuality and discomfort of being human. Shifting between worlds and perspectives, this is a raw exploration of what it means to be alive in a world that is as devastating as it is beautiful.' -- Alvy Carragher

This sewing guide reveals a breakthrough method to simplify learning stitches of all kinds, with more than 100 stitches from the simple to the fanciful. As makers, we tend to learn different stitches over time without thinking much about how they relate to one another. But when Natalie Chanin and her teams at Alabama Chanin and The School of Making began to look at needlework closely, they realized all stitches are based on geometric grid systems. They also discovered that learning new stitches—even elaborate ones—became simple and easy when using grids as guides. In The Geometry of Hand-Sewing Chanin presents their breakthrough method, featuring illustrated instructions (for both right- and left-handed stitchers) for more than 100 stitches—from the basic straight and chain to complex feather and herringbone. Photos of both right and wrong sides are included, as well as guidelines for modifying stitches to increase one’s repertoire further. The book also offers downloads for two stitching cards with the grids on which every stitch in the book is based. These printable cards can be used as stencils for transferring grids to fabric.

Restless in her stable relationship with a restrained professor, aspiring poet Julia Field is thrown off-balance by a chance meeting with an old, charismatic flame, forcing her to grapple with questions of infidelity and artistic inspiration.

A New York Times-bestselling breakthrough book about talent, passion, and achievement from the one of the world's leading thinkers on creativity and self-fulfillment. The Element is the point at which natural talent meets personal passion. When people arrive at the Element, they feel most themselves and most inspired and achieve at their highest levels. With a wry sense of humor, Ken Robinson looks at the conditions that enable us to find ourselves in the Element and those that stifle that possibility. Drawing on the stories of a wide range of people, including Paul McCartney, Matt Groening, Richard Branson, Arianna Huffington, and Bart Conner, he shows that age and occupation are no barrier and that this is the essential strategy for transform­ing education, business, and communities in the twenty-first century. Also available from Ken Robinson is Imagine If, a call to action that challenges and empowers us to reimagine our world and our systems for the better, through a compilation of Sir Ken's key messages and philosophies.