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  3. The Geometry of Equilibrium
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    • Publisher:
      Cambridge University Press
      Publication date:
      May 2025
      May 2025
      ISBN:
      9781009397643
      9781009397612
      DOI:
      https://doi.org/10.1017/9781009397643
      Dimensions:
      (254 x 203 mm)
      Weight & Pages:
      0.89kg, 324 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics, Physics and Astronomy, History of Mathematical Texts, History, Philosophy and Foundations of Physics
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    Subjects:
    Mathematics, Physics and Astronomy, History of Mathematical Texts, History, Philosophy and Foundations of Physics
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    Book description

    James Clerk Maxwell is one of the giants of scientific thought, and whilst his groundbreaking contributions to electromagnetism and statistical physics are well known, his profound insights into the theory of structures are appreciated less widely. Maxwell's approach was deeply geometrical, and this richly illustrated book reveals his astute perception of the remarkable dualities that exist between the form of a structure and the forces it can carry, with understandings that will surprise contemporary readers. Early chapters introduce the background in which Maxwell was working, followed by contributions by leading researchers describing the latest applications of these ideas. Subsequent chapters introduce the many subtopics that this work embraces. The book ends with Maxwell's original papers on structural mechanics, each annotated to highlight and explain the ideas therein. This is a wonderful resource for mathematicians, scientists, engineers, and designers to enter this rich and underexplored aspect of the genius of Maxwell.

    Reviews

    ‘Remarkable homage to the amazing creativity of James Clerk Maxwell. Three portraits accompanied Einstein from Germany into Princeton: Newton, Faraday, and Maxwell. But when asked if he stood on the shoulders of Newton, he replied ‘No, on the shoulders of Maxwell’. Much has been written about Maxwell’s creativity rooted in physical analogy. This is an erudite example of consequences of Maxwell’s geometric thinking.’

    Julio M. Ottino - R.R. McCormick Institute and Walter P. Murphy Professor, Engineering and Applied Science, Northwestern University and author of The Nexus: The New Convergence or Art, Technology, and Science

    ‘Engineers are largely ignorant of Maxwell’s geometric methods applied to structural theory, and geometers are equally unaware of the application of their discipline to the design of structures. This book is an exciting attempt to remedy this and will interest engineers and mathematicians for its elegance and practical application.’

    Chris J. K. Williams - Chalmers University of Technology

    ‘This rediscovery of James Clerk Maxwell by renowned expert opens a world of graphic statics, shell design and lightweight building for structural engineers. Maxwell’s achievements turn out to be very modern because they help minimise the use of resources and, therefore, can lead to truly sustainable structures. What makes this book special is that the original papers of Maxwell are included and made readable through detailed explanations. A great effort by the authors for the benefit of the reader.’

    Mike Schlaich - Technische Universität Berlin

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    Contents

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    Contents

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    References

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