Shadows of the Circle

Conic Sections, Optimal Figures and Non-Euclidean Geometry

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Author: Vagn Lundsgaard Hansen

Publisher: World Scientific

ISBN: 9789810234188

Category: Mathematics

Page: 111

View: 6141

The aim of this book is to throw light on various facets of geometry through development of four geometrical themes. The first theme is about the ellipse, the shape of the shadow east by a circle. The next, a natural continuation of the first, is a study of all three types of conic sections, the ellipse, the parabola and the hyperbola. The third theme is about certain properties of geometrical figures related to the problem of finding the largest area that can be enclosed by a curve of given length. This problem is called the isoperimetric problem. In itself, this topic contains motivation for major parts of the curriculum in mathematics at college level and sets the stage for more advanced mathematical subjects such as functions of several variables and the calculus of variations. Here, three types of conic section are discussed briefly. The emergence of non-Euclidean geometries in the beginning of the nineteenth century represents one of the dramatic episodes in the history of mathematics. In the last theme the non-Euclidean geometry in the Poincare disc model of the hyperbolic plane is developed.

The Essential Physics of Medical Imaging

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Author: Jerrold T. Bushberg

Publisher: Lippincott Williams & Wilkins

ISBN: 0683301187

Category: Medical

Page: 933

View: 6477

Developed from the authors' highly successful annual imaging physics review course, this new Second Edition gives readers a clear, fundamental understanding of the theory and applications of physics in radiology, nuclear medicine, and radiobiology. The Essential Physics of Medical Imaging, Second Edition provides key coverage of the clinical implications of technical principles--making this book great for board review. Highlights of this new edition include completely updated and expanded chapters and more than 960 illustrations. Major sections cover basic concepts, diagnostic radiology, nuclear medicine, and radiation protection, dosimetry, and biology. A Brandon-Hill recommended title.

The Shadows of Owls

A Novel

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Author: John Keeble

Publisher: University of Washington Press

ISBN: 0295804904

Category: Fiction

Page: 460

View: 7405

In a literary thriller about science, power, and the lives of ordinary people, John Keeble tells the story of a woman whose passion for her work puts herself and her family at serious risk. Kate DeShazer is a marine biologist whose research threatens the construction of an oil pipeline in Alaska's Chukchi Sea. A group of extremists, hired by an international petroleum conglomerate, intimidate her, steal her records, and leave her fighting for her life. Her husband Jack and son Travis are pulled into a web of international intrigue and violence as they try to save her. With vivid prose, Keeble brings to life the winter landscape of northern Idaho and southern British Columbia and reveals the interconnectedness of the people within it-from scientists to loggers to white supremacists-as each must answer to the demands of corporate power.

In the Shadow of 13 Moons

Embracing Lunar Energy for Self-Healing and Transformation

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Author: Kimberly Sherman-Cook

Publisher: Llewellyn Worldwide

ISBN: 0738723142

Category: Body, Mind & Spirit

Page: 312

View: 1552

Coursing deep within every witch are currents of magick that ebb and flow along with the moon's rhythms. When you combine this powerful energy with your inner shadow, you can create real, positive change and transform your life through the mysteries of the dark moon. In the Shadow of 13 Moons offers a rich variety of new, in-depth ways to practice dark moon witchcraft. Kimberly Sherman-Cook guides you step by step through the process of dark moon magick and ritual work while taking you down the path of self-discovery. She seamlessly blends the art of shadow work with magickal practice to form a gentle yet empowering journey. Learn the sacred dance of the shadow as you follow a 13-moon cycle of meditations, rituals, spellwork, craft projects, and other practical exploratory techniques, which will connect you with your inner self and deepen your understanding of shadow craft. Bring about self-healing and inner balance Confront your shadow • Cast a circle of power Work with dark moon deities • Draw down the dark moon Ideal for solitary practitioners as well as coven members of all skill levels, In the Shadow of 13 Moons evolves with you on your path of personal transformation and spiritual growth. "In the Shadow of 13 Moons takes you on a journey into the shadow and back out again, helping you face what is unseen in a thoroughly open and non-dogmatic way. Kimberly is an excellent guide, continuing the tradition of torchbearers in this important work of the psyche."—Christopher Penczak, author of The Temple of Shamanic Witchcraft and The Witch's Coin

The Mathematics of the Heavens and the Earth

The Early History of Trigonometry

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Author: Glen Van Brummelen

Publisher: Princeton University Press

ISBN: 9780691129730

Category: Mathematics

Page: 329

View: 1300

"There does not seem to have been a book-length history of trigonometry in English before this fine book. Van Brummelen takes us from the unnamed Egyptians and Babylonians who created trigonometry to the subject's first few centuries in Europe. In between, he deftly traces how it was studied by the astronomers Hipparchus and Ptolemy in classical Greece, and later by a host of scholars in India and the Islamic world."--John H. Conway, coauthor of "The Book of Numbers" "This book is the first detailed history of trigonometry in more than half a century, and it far surpasses any earlier attempts. "The Mathematics of the Heavens and the Earth" is an extremely important contribution to scholarship. It will be the definitive history of trigonometry for years to come. There is nothing like this out there."--Victor J. Katz, professor emeritus, University of the District of Columbia "A pleasure to read. "The Mathematics of the Heavens and the Earth" is destined to become the standard reference on the history of trigonometry for the foreseeable future. Although other authors have attempted to tell the story, I know of no other book that has either the breadth or the depth of this one. Van Brummelen is one of the leading experts in the world on this subject."--Dennis Duke, Florida State University "Van Brummelen presents a history of trigonometry from the earliest times to the end of the sixteenth century. He has produced a work that rises to the highest standards of scholarship but never strays into pedantry. His extensive bibliography cites every work of consequence for the history of trigonometry, copious footnotes and diagrams illuminate the text, and reproductions from old printed works add interest and texture to the narrative."--J. Lennart Berggren, professor emeritus, Simon Fraser University "This book presents, for the first time in more than a century, a concise history of plane and spherical trigonometry, an important field within applied mathematics. It will appeal to a wide audience thanks to the pleasant style in which it is written, but at the same time it adheres to a very high scholarly standard."--Benno van Dalen, Ludwig Maximilians University, Munich

Circle of Shadows

A Westerman and Crowther Mystery

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Author: Imogen Robertson

Publisher: Penguin

ISBN: 110162292X

Category: Fiction

Page: 384

View: 1985

“The best yet in [Robertson’s] late-18th-century historical series.” —Publishers Weekly (starred review) In the fourth installment of Imogen Robertson’s acclaimed historical suspense series, Mrs. Harriet Westerman and Gabriel Crowther depart England for the Duchy of Maulberg on a desperate mission to save a man accused of murder. Shrove Tuesday, 1784. As Germany’s elite dance at a masked ball, the beautiful Lady Martesen is murdered. Daniel Clode, Mrs. Westerman’s brother-in-law, is found near the body, his wrists cut, his memories nightmarish. Is Daniel a killer? As he awaits execution, Westerman enlists Crowther, the increasingly reclusive anatomist, to help prove Daniel’s innocence. After another ruthless death, the investigative duo find themselves racing to solve the mystery behind the killings—but no one will talk, and the clock is ticking for Daniel.

ENCYCLOPAEDIA BRITANNICA; Or, A DICTIONARY of Arts and Sciences, Compiled Upon a New Plan. In Wich the Different Science and Arts are Digested Into Distinct Treatises Or Systems; and The Various Technical Terms, ... are Explained as They Occur in the Order of the Alphabet. Illustrated with One Hundred and Sixty Copperplates, by a Society of Gentlemen in Scotland. IN THREE VOLUMES. Edinburgh: Printed for A. Bell and C. Macfarquhar; and Fold by Colin Macfarquhar, at this Printing-office, Nicolson Street. M.D.CC.LXXI.

2: [CAB-LYT].

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Author: N.A

Publisher: N.A

ISBN: N.A

Category:

Page: 1009

View: 4190

Casting Shadows

Creating Visual Dimension in Your Quilts

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Author: Colleen Wise

Publisher: C&T Publishing Inc

ISBN: 1607057263

Category: Crafts & Hobbies

Page: 112

View: 4122

Create quilts with 3-D illusions!

Christopher Columbus and the Age of Exploration for Kids

With 21 Activities

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Author: Ronald A. Reis

Publisher: Chicago Review Press

ISBN: 1613746776

Category: Juvenile Nonfiction

Page: 160

View: 3779

Taking a comprehensive, nuanced, and inclusive approach to Christopher Columbus, this illuminating biography with activities for young readers places him in the context of the explorations that came before, during, and after his lifetime. It portrays the “Admiral of the Ocean Seas” neither as hero nor heel, but as a flawed and complex man whose significance is undeniably monumental. Providing kids, parents, and teachers with a fuller picture of the seafaring life and the dangers and thrills of exploration, author Ronald Reis details all four of Columbus’s voyages to the New World, not just his first, and describes the year that Columbus spent stranded on the island of Jamaica without hope of rescue. A full chapter is devoted to painting a more complete and complex portrait of the indigenous peoples of the New World and another to the consequences of Columbus’s voyages—the exchange of diseases, ideas, crops, and populations between the New World and the Old. Engaging cross-curricular activities, such as taking nautical measurements, simulating a hurricane, making an ancient globe, and conducting silent trade, elucidate nautical concepts introduced and the times in which Columbus lived.