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"This engaging short book is both a mathematician's reflections on grief and a mathematically-informed theory of grieving. Michael Frame retired in 2016 as a professor of mathematics at Yale University, where students fought for a place in his course on fractal geometry. Students appreciated his use of accessible examples- decalcomania paintings and illustrations of cats to explain mathematical concepts-and stories of his work and friendship with the founder of fractal geometry, Benoit Mandelbrot. In this book, he continues his work to make mathematics accessible, using his experiences with grief to give uninitiated readers insights into advanced topics in geometry. The inability to repeat an "aha moment", when you first learn something, is one type of grief that Frame examines. He connects this irreversible loss of perspective to more consequential grief-loss of a career or of a loved one-and explains ways he has thought mathematically about grieving and coping with grief. Frame is an authentic and sympathetic voice. He retired after discovering that he had an inoperable brain tumor and feeling the effects of his cancer on his teaching career. His connections and insights make this a timely and moving book in our time of personal and collective grief"--
Geometry -- Grief -- Beauty -- Story -- Fractal -- Beyond -- Appendix: More Math.
This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known areas: fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.
The #2 SUNDAY TIMES BESTSELLER from the author of MURDER BEFORE EVENSONG 'Immensely moving and disarmingly witty' Nigella Lawson 'Such a moving, tough, funny, raw, honest read' Matt Haig 'Beautifully written, moving and gut-wrenching, but also at times very funny' Ian Rankin 'Captures brilliantly, beautifully, bravely the comedy as well as the tragedy of bereavement' The Times 'Will strike a chord with anyone who has grieved' Independent When the Reverend Richard Coles's partner died suddenly, shortly before Christmas in 2019, what came next took Richard by surprise. Despite his years of experience assisting his parishioners in examining life's moral questions, Richard now found he needed guidance himself. Much about grief was unexpected: the volume of 'sadmin' that must be undertaken, how much harder it is travelling solo for work, the pain of typing a text message to your partner - then remembering they are gone. This deeply personal account of life after grief will resonate, unforgettably, long after the final page has been turned.
A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas. The book discusses fundamental tools in analytical geometry and linear algebra. It covers a wide range of topics
Presents an introduction to the dynamics of order and chaos, fractals, and complexity.
The true story of eighteenth-century mathematician Sophie Germain, who solved the unsolvable to achieve her dream. When her parents took away her candles to keep their young daughter from studying math...nothing stopped Sophie. When a professor discovered that the homework sent to him under a male pen name came from a woman...nothing stopped Sophie. And when she tackled a math problem that male scholars said would be impossible to solve...still, nothing stopped Sophie. For six years Sophie Germain used her love of math and her undeniable determination to test equations that would predict patterns of vibrations. She eventually became the first woman to win a grand prize from France's prestigious Academy of Sciences for her formula, which laid the groundwork for much of modern architecture (and can be seen in the book's illustrations). Award-winning author Cheryl Bardoe's inspiring and poetic text is brought to life by acclaimed artist Barbara McClintock's intricate pen-and-ink, watercolor, and collage illustrations in this true story about a woman who let nothing stop her.
This book is based on lectures given at Harvard University during the academic year 1960-1961. The presentation assumes knowledge of the elements of modern algebra (groups, vector spaces, etc.) and point-set topology and some elementary analysis. Rather than giving all the basic information or touching upon every topic in the field, this work treats various selected topics in differential geometry. The author concisely addresses standard material and spreads exercises throughout the text. His reprint has two additions to the original volume: a paper written jointly with V. Guillemin at the beginning of a period of intense interest in the equivalence problem and a short description from the author on results in the field that occurred between the first and the second printings.
Anna loves math, and her boyfriend, Mike. Will she have to choose between them? Anna Conway sometimes wishes her relationships would come as easy to her as math does. A natural math talent, Anna is at odds with what's expected of her as a teenager in the 1950s. While Anna aspires to leave her small town for college to study mathematics, her parents want her to follow the more traditional path of getting married and starting a family. Anna's never really thought of dating before, but when she meets Mike, their relationship takes off and goes further than she'd ever expected. Now it's up to Anna to make her future happen. But how will she choose? In beautiful prose, Sharelle Byars Moranville explores the importance of believing in dreams in order to make a difference. A Higher Geometry is a 2007 Bank Street - Best Children's Book of the Year.