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This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers. .
Mathematics. --- Functional analysis. --- Integral equations. --- History. --- Number theory. --- History of Mathematical Sciences. --- Functional Analysis. --- Integral Equations. --- Number Theory. --- Transcendental numbers. --- Numbers, Transcendental --- Irrational numbers --- Number study --- Numbers, Theory of --- Algebra --- Equations, Integral --- Functional equations --- Functional analysis --- Functional calculus --- Calculus of variations --- Integral equations --- Annals --- Auxiliary sciences of history --- Math --- Science
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This handbook features essays written by both literary scholars and mathematicians that examine multiple facets of the connections between literature and mathematics. These connections range from mathematics and poetic meter to mathematics and modernism to mathematics as literature. Some chapters focus on a single author, such as mathematics and Ezra Pound, Gertrude Stein, or Charles Dickens, while others consider a mathematical topic common to two or more authors, such as squaring the circle, chaos theory, Newton’s calculus, or stochastic processes. With appeal for scholars and students in literature, mathematics, cultural history, and history of mathematics, this important volume aims to introduce the range, fertility, and complexity of the connections between mathematics, literature, and literary theory. Chapter 1 is available open access under a Creative Commons Attribution 4.0 International License via [link.springer.com/http://link.springer.com/].
Literature—Philosophy. --- Mathematics—Philosophy. --- History. --- Mathematics. --- Social sciences. --- Literary Theory. --- Philosophy of Mathematics. --- History of Science. --- History of Mathematical Sciences. --- Mathematics in the Humanities and Social Sciences. --- Behavioral sciences --- Human sciences --- Sciences, Social --- Social science --- Social studies --- Civilization --- Math --- Science --- Annals --- Auxiliary sciences of history --- Literature --- Mathematics --- Logic of mathematics --- Mathematics, Logic of --- Literature and philosophy --- Philosophy and literature --- Philosophy. --- Theory
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