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Instructing the Mathematical Imagination
  • Language: en
  • Pages: 280

Instructing the Mathematical Imagination

This book examines the creation and character of mathematical training at Bryn Mawr College between 1885 and 1926 under the leadership of Charlotte Angas Scott. Though designated as a college, Bryn Mawr boasted the world?s first graduate degree programs in which women taught women. Through detailed analysis of Scott?s publications, student dissertations, and institutional records?including the college?s Journal Club Notebooks?the author reconstructs how a sustained, collaborative, and visually grounded style of mathematics emerged in this setting. Rather than focusing on biographical exceptionalism, the study situates Scott and her students within broader shifts in the American mathematical ...

Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition)
  • Language: en
  • Pages: 775

Analytic Hyperbolic Geometry And Albert Einstein's Special Theory Of Relativity (Second Edition)

This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. The premise of analogy as a study strategy is to make the unfamiliar familiar. Accordingly, this book introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Gyrovectors turn out to be equivalence classes that add according to the gyroparallelogram law just as vectors are equivalence classes that add according to the parallelogram law. In the gyrolanguage of this book, accordingly, one prefixes a gyro to a classical term to mean the analogous term in hyperbolic ge...

Crocheting Adventures with Hyperbolic Planes
  • Language: en
  • Pages: 879

Crocheting Adventures with Hyperbolic Planes

  • Type: Book
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  • Published: 2018-02-19
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  • Publisher: CRC Press

Winner, Euler Book Prize, awarded by the Mathematical Association of America. With over 200 full color photographs, this non-traditional, tactile introduction to non-Euclidean geometries also covers early development of geometry and connections between geometry, art, nature, and sciences. For the crafter or would-be crafter, there are detailed instructions for how to crochet various geometric models and how to use them in explorations. New to the 2nd Edition; Daina Taimina discusses her own adventures with the hyperbolic planes as well as the experiences of some of her readers. Includes recent applications of hyperbolic geometry such as medicine, architecture, fashion & quantum computing.

The Shock of Recognition
  • Language: en
  • Pages: 666

The Shock of Recognition

  • Type: Book
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  • Published: 2020-10-12
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  • Publisher: BRILL

In The Shock of Recognition, Lewis Pyenson uses a method called Historical Complementarity to identify the motif of non-figurative abstraction in modern art and science. He identifies the motif in Picasso’s and Einstein’s educational environments. He shows how this motif in domestic furnishing and in urban lighting set the stage for Picasso’s and Einstein’s professional success before 1914. He applies his method to intellectual life in Argentina, using it to address that nation’s focus on an inventory of the natural world until the 1940s, its adoption of non-figurative art and nuclear physics in the middle of the twentieth century, and attention to landscape painting and the wonder of nature at the end of the century.

Ether and Modernity
  • Language: en
  • Pages: 418

Ether and Modernity

Ether and Modernity offers a snapshot of the status of an epistemic object, the "ether" (or "aether"), in the early twentieth century. The contributed papers show that the ether was often regarded as one of the objects of modernity, hand in hand with the electron, radioactivity or X-rays, and not simply as the stubborn residue of an old-fashioned, long-discarded science. The prestige and authority of scientists and popularisers like Oliver Lodge and Arthur Eddington in Britain, Phillip Lenard in Germany or Dayton C. Miller in the USA was instrumental in the preservation, defence or even re-emergence of the ether in the 1920s. Moreover, the consolidation of wireless communications and radio b...

Other Worlds
  • Language: en
  • Pages: 385

Other Worlds

Christopher White points to ways that both spiritual practices and scientific speculation about multiverses and invisible dimensions are efforts to peer into the hidden elements and even existential meaning of the universe. Creatively appropriated, these ideas can restore a spiritual sense that the world is greater than anything our eyes can see.

A Register of the Scholars Admitted Into Merchant Taylor's School
  • Language: en
  • Pages: 418
The American Genealogist
  • Language: en
  • Pages: 660

The American Genealogist

  • Type: Book
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  • Published: 1989
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  • Publisher: Unknown

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