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Wicked Women of Alabama
  • Language: en
  • Pages: 160

Wicked Women of Alabama

While men commit most of Alabama's crimes, women have written some of the darkest chapters in state history. Poisoners who murdered dozens. A mob icon who captivated millions. An anti-government cop killer. A madam whose courage lifted her from shame to legend. A mummified woman shrouded in mystery. Whether they enjoyed the spotlight or weaponized their status as unlikely suspects, these women left scandal and misery in their wake. Journalist Jeremy W. Gray digs into the sordid mess left behind by some of the most notorious women in Alabama history.

Henri Poincaré
  • Language: en
  • Pages: 608

Henri Poincaré

A comprehensive look at the mathematics, physics, and philosophy of Henri Poincaré Henri Poincaré (1854–1912) was not just one of the most inventive, versatile, and productive mathematicians of all time—he was also a leading physicist who almost won a Nobel Prize for physics and a prominent philosopher of science whose fresh and surprising essays are still in print a century later. The first in-depth and comprehensive look at his many accomplishments, Henri Poincaré explores all the fields that Poincaré touched, the debates sparked by his original investigations, and how his discoveries still contribute to society today. Math historian Jeremy Gray shows that Poincaré's influence was...

Ideas of Space
  • Language: en
  • Pages: 242

Ideas of Space

The history of the development of Euclidean, non-Euclidean, and relativistic ideas of the shape of the universe, is presented in this lively account by Jeremy Gray. The parallel postulate of Euclidean geometry occupies a unique position in the history of mathematics. In this book, Jeremy Gray reviews the failure of classical attempts to prove the postulate and then proceeds to show how the work of Gauss, Lobachevskii, and Bolyai, laid the foundations ofmodern differential geometry, by constructing geometries in which the parallel postulate fails. These investigations in turn enabled the formulation of Einstein's theories of special and general relativity, which today form the basis of our conception of the universe. The author has made every attempt to keep the pre-requisites to a bare minimum. This immensely readable account, contains historical and mathematical material which make it suitable for undergraduate students in the history of science and mathematics. For the second edition, the author has taken the opportunity to update much of the material, and to add a chapter on the emerging story of the Arabic contribution to this fascinating aspect of the history of mathematics.

Worlds Out of Nothing
  • Language: en
  • Pages: 390

Worlds Out of Nothing

Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.

Plato's Ghost
  • Language: en
  • Pages: 526

Plato's Ghost

Plato's Ghost is the first book to examine the development of mathematics from 1880 to 1920 as a modernist transformation similar to those in art, literature, and music. Jeremy Gray traces the growth of mathematical modernism from its roots in problem solving and theory to its interactions with physics, philosophy, theology, psychology, and ideas about real and artificial languages. He shows how mathematics was popularized, and explains how mathematical modernism not only gave expression to the work of mathematicians and the professional image they sought to create for themselves, but how modernism also introduced deeper and ultimately unanswerable questions. Plato's Ghost evokes Yeats's lam...

The Hilbert Challenge
  • Language: en
  • Pages: 340

The Hilbert Challenge

David Hilbert was arguably the leading mathematician of his generation. He was among the few mathematicians who could reshape mathematics, and was able to because he brought together an impressive technical power and mastery of detail with a vision of where the subject was going and how it should get there. This was the unique combination which he brought to the setting of his famous 23 Problems. Few problems in mathematics have the status of those posed by David Hilbert in 1900. Mathematicians have made their reputations by solving individual ones such as Fermat's last theorem, and several remain unsolved including the Riemann hypotheses, which has eluded all the great minds of this century...

Simply Riemann
  • Language: en
  • Pages: 168

Simply Riemann

  • Type: Book
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  • Published: 2020-03-20
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  • Publisher: Unknown

Though little known outside of his field, Bernhard Riemann was one of the most important and influential mathematicians of the modern era. His early work prepared the way for Einstein's general theory of relativity, and his breakthroughs in geometry, topology, analysis, and number theory continue to inspire and challenge mathematicians today. In Simply Riemann, author Jeremy Gray takes us into the mind of a great mathematician, exploring the ideas beneath the technicalities, and providing an insightful portrait of a would-be pastor who found himself increasingly "called" by the abstract beauty of numbers.

The Symbolic Universe
  • Language: en
  • Pages: 320

The Symbolic Universe

Physics was transformed between 1890 and 1930, and this volume provides a detailed history of the era and emphasizes the key role of geometrical ideas. Topics include the application of n-dimensional differential geometry to mechanics and theoretical physics, the philosophical questions on the reality of geometry, and the nature of geometry and its connections with psychology, special relativity, Hilbert's efforts to axiomatize relativity, and Emmy Noether's work in physics.

A History of Mathematics
  • Language: en
  • Pages: 756

A History of Mathematics

Presupposes a knowledge of college level mathematics but is accessible to the average reader through its consistent treatment of mathematical structure with a strict adherence to historical perspective and detail. The material is arranged chronologically beginning with archaic origins and covers Egyptian, Mesopotamian, Greek, Chinese, Indian, Arabic and European contributions done to the nineteenth century and present day. There are revised references and bibliographies and revised and expanded chapters on the nineteeth and twentieth centuries.

Georgia & the Carolinas
  • Language: en
  • Pages: 432

Georgia & the Carolinas

From colonial Charleston to commercial Atlanta and all the best scenic drives and sights in-between, this new guide includes a special section on the area's dynamic music tradition and a tantalizing map of sunken treasure.