209 books match the query 'Mathematics' and 6 start with b

cover of Baroque Science

Baroque Science

Ofer Gal and Raz Chen-Morris

University of Chicago Press, 2013

In Baroque Science, Ofer Gal and Raz Chen-Morris present a radically new perspective on the scientific revolution of the seventeenth century. Instead of celebrating the triumph of reason and rationality, they study the paradoxes and anxieties that stemmed from the New Science and the intellectual compromises that shaped it and enabled its spectacular success.
 
Gal and Chen-Morris show how the protagonists of the new mathematical natural philosophy grasped at the very far and very small by entrusting observation to the mediation of artificial instruments, and how they justified this mediation by naturalizing and denigrating the human senses. They show how the physical-mathematical ordering of heavens and earth demanded obscure and spurious mathematical procedures, replacing the divine harmonies of the late Renaissance with an assemblage of isolated, contingent laws and approximated constants.  Finally, they show how the new savants, forced to contend that reason is hopelessly estranged from its surrounding world and that nature is irreducibly complex, turned to the passions to provide an alternative, naturalized foundation for their epistemology and ethics.
 
Enforcing order in the face of threatening chaos, blurring the boundaries of the natural and the artificial, and mobilizing the passions in the service of objective knowledge, the New Science, Gal and Chen-Morris reveal, is a Baroque phenomenon: deeply entrenched in and crucially formative of the culture of its time.
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cover of Before Voltaire: The French Origins of “Newtonian” Mechanics, 1680-1715

Before Voltaire

The French Origins of “Newtonian” Mechanics, 1680-1715

J.B. Shank

University of Chicago Press, 2017

We have grown accustomed to the idea that scientific theories are embedded in their place and time. But in the case of the development of mathematical physics in eighteenth-century France, the relationship was extremely close. In Before Voltaire, J.B. Shank shows that although the publication of Isaac Newton’s Principia in 1687 exerted strong influence, the development of calculus-based physics is better understood as an outcome that grew from French culture in general.
 
Before Voltaire explores how Newton’s ideas made their way not just through the realm of French science, but into the larger world of society and culture of which Principia was an intertwined part. Shank also details a history of the beginnings of calculus-based mathematical physics that integrates it into the larger intellectual currents in France at the time, including the Battle of the Ancients and the Moderns, the emergence of wider audiences for science, and the role of the newly reorganized Royal Academy of Sciences. The resulting book offers an unprecedented cultural history of one the most important and influential elements of Enlightenment science.
 
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cover of Belonging and Identity in STEM Higher Education

Belonging and Identity in STEM Higher Education

Edited by Camille Kandiko Howson and Martyn Kingsbury

University College London, 2024

Recommendations for enhancing belonging in STEM higher education.

In Belonging and Identity in STEM Higher Education, Camille Kandiko Howson and Martyn Kingsbury examine the role of science, technology, engineering, and mathematics (STEM) pedagogies in facilitating belonging, variable impacts across student characteristics, and the experiences of STEM students in higher education. Through case study contributions, the book analyzes the unique educational environments for STEM staff and students throughout Europe and Asia, challenging the assumptions that STEM fields are inherently unemotional and impersonal disciplines.
 
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cover of Berkeley's Philosophy of Mathematics

Berkeley's Philosophy of Mathematics

Douglas M. Jesseph

University of Chicago Press, 1993

In this first modern, critical assessment of the place of mathematics in Berkeley's philosophy and Berkeley's place in the history of mathematics, Douglas M. Jesseph provides a bold reinterpretation of Berkeley's work. Jesseph challenges the prevailing view that Berkeley's mathematical writings are peripheral to his philosophy and argues that mathematics is in fact central to his thought, developing out of his critique of abstraction. Jesseph's argument situates Berkeley's ideas within the larger historical and intellectual context of the Scientific Revolution.

Jesseph begins with Berkeley's radical opposition to the received view of mathematics in the philosophy of the late seventeenth and early eighteenth centuries, when mathematics was considered a "science of abstractions." Since this view seriously conflicted with Berkeley's critique of abstract ideas, Jesseph contends that he was forced to come up with a nonabstract philosophy of mathematics. Jesseph examines Berkeley's unique treatments of geometry and arithmetic and his famous critique of the calculus in The Analyst.

By putting Berkeley's mathematical writings in the perspective of his larger philosophical project and examining their impact on eighteenth-century British mathematics, Jesseph makes a major contribution to philosophy and to the history and philosophy of science.

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cover of Between Raphael and Galileo: Mutio Oddi and the Mathematical Culture of Late Renaissance Italy

Between Raphael and Galileo

Mutio Oddi and the Mathematical Culture of Late Renaissance Italy

Alexander Marr

University of Chicago Press, 2011

Although largely unknown today, during his lifetime Mutio Oddi of Urbino (1569–1639) was a highly esteemed scholar, teacher, and practitioner of a wide range of disciplines related to mathematics. A prime example of the artisan-scholar so prevalent in the late Renaissance, Oddi was also accomplished in the fields of civil and military architecture and the design and retail of mathematical instruments, as well as writing and publishing. 

In Between Raphael and Galileo, Alexander Marr resurrects the career and achievements of Oddi in order to examine the ways in which mathematics, material culture, and the book shaped knowledge, society, and the visual arts in late Renaissance Italy. Marr scrutinizes the extensive archive of Oddi papers, documenting Oddi’s collaboration with prominent intellectuals and officials and shedding new light on the practice of science and art during his day. What becomes clear is that Oddi, precisely because he was not spectacularly innovative and did not attain the status of a hero in modern science, is characteristic of the majority of scientific practitioners and educators active in this formative age, particularly those whose energetic popularization of mathematics laid the foundations for the Scientific Revolution. Marr also demonstrates that scientific change in this era was multivalent and contested, governed as much by friendship as by principle and determined as much by places as by purpose.

Plunging the reader into Oddi’s world, Between Raphael and Galileo is a finely wrought and meticulously researched tale of science, art, commerce, and society in the late sixteenth and early seventeenth century. It will become required reading for any scholar interested in the history of science, visual art, and print culture of the Early Modern period.

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cover of Blaschke Products: Bounded Analytic Functions

Blaschke Products

Bounded Analytic Functions

Peter Colwell

University of Michigan Press, 1985

Blaschke products are an important class of functions in analytic function theory in the unit disk, both because of their involvement in factorization theorems and their utility for the construction of examples. This book gathers the principal results about Blaschke products heretofore scattered in research papers over the past 70 years and provides an extensive bibliography of over 300 items. It is hoped that research workers in and students of function theory will find the book a useful guide and reference to the subject of Blaschke products.
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