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Book
The Murder of Professor Schlick
Author:
ISBN: 9780691164908 9780691185842 0691164908 0691185840 Year: 2020 Publisher: Princeton, NJ

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The story of an extraordinary group of philosophers during a dark chapter in Europe's historyOn June 22, 1936, the philosopher Moritz Schlick was on his way to deliver a lecture at the University of Vienna when Johann Nelböck, a deranged former student of Schlick's, shot him dead on the university steps. Some Austrian newspapers defended the madman, while Nelböck himself argued in court that his onetime teacher had promoted a treacherous Jewish philosophy. David Edmonds traces the rise and fall of the Vienna Circle—an influential group of brilliant thinkers led by Schlick—and of a philosophical movement that sought to do away with metaphysics and pseudoscience in a city darkened by fascism, anti-Semitism, and unreason.The Vienna Circle's members included Otto Neurath, Rudolf Carnap, and the eccentric logician Kurt Gödel. On its fringes were two other philosophical titans of the twentieth century, Ludwig Wittgenstein and Karl Popper. The Circle championed the philosophy of logical empiricism, which held that only two types of propositions have cognitive meaning, those that can be verified through experience and those that are analytically true. For a time, it was the most fashionable movement in philosophy. Yet by the outbreak of World War II, Schlick's group had disbanded and almost all its members had fled. Edmonds reveals why the Austro-fascists and the Nazis saw their philosophy as such a threat.The Murder of Professor Schlick paints an unforgettable portrait of the Vienna Circle and its members while weaving an enthralling narrative set against the backdrop of economic catastrophe and rising extremism in Hitler's Europe.


Book
The road to relativity
Authors: ---
ISBN: 0691175810 9780691162539 9780691162539 0691162530 0691162530 9780691175812 9781400865765 140086576X Year: 2015 Publisher: Princeton

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This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein's theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein's thought. Presented here is a beautiful facsimile of Einstein's original handwritten manuscript, along with its English translation and an insightful page-by-page commentary that places the work in historical and scientific context. Hanoch Gutfreund and Jürgen Renn's concise introduction traces Einstein's intellectual odyssey from special to general relativity, and their essay "The Charm of a Manuscript" provides a delightful meditation on the varied afterlife of Einstein's text. Featuring a foreword by John Stachel, this handsome edition also includes a biographical glossary of the figures discussed in the book, a comprehensive bibliography, suggestions for further reading, and numerous photos and illustrations throughout.


Book
The Great Formal Machinery Works : Theories of Deduction and Computation at the Origins of the Digital Age
Author:
ISBN: 1400885035 Year: 2017 Publisher: Princeton, NJ : Princeton University Press,

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The information age owes its existence to a little-known but crucial development, the theoretical study of logic and the foundations of mathematics. The Great Formal Machinery Works draws on original sources and rare archival materials to trace the history of the theories of deduction and computation that laid the logical foundations for the digital revolution.Jan von Plato examines the contributions of figures such as Aristotle; the nineteenth-century German polymath Hermann Grassmann; George Boole, whose Boolean logic would prove essential to programming languages and computing; Ernst Schröder, best known for his work on algebraic logic; and Giuseppe Peano, cofounder of mathematical logic. Von Plato shows how the idea of a formal proof in mathematics emerged gradually in the second half of the nineteenth century, hand in hand with the notion of a formal process of computation. A turning point was reached by 1930, when Kurt Gödel conceived his celebrated incompleteness theorems. They were an enormous boost to the study of formal languages and computability, which were brought to perfection by the end of the 1930s with precise theories of formal languages and formal deduction and parallel theories of algorithmic computability. Von Plato describes how the first theoretical ideas of a computer soon emerged in the work of Alan Turing in 1936 and John von Neumann some years later.Shedding new light on this crucial chapter in the history of science, The Great Formal Machinery Works is essential reading for students and researchers in logic, mathematics, and computer science.

Keywords

Information technology --- Computers --- History. --- Arend Heyting. --- Begriffsschrift. --- Bertrand Russell. --- David Hilbert. --- Earth. --- Ernst Schröder. --- Eugenio Beltrami. --- Gentzen. --- George Boole. --- Gerard Gentzen. --- Gottlob Frege. --- Guiseppe Peano. --- Gödel. --- Göttingen. --- Hermann Grassmann. --- Heyting algebras. --- Hilbert. --- Karl Menger. --- Kurt Gödel. --- Kurt Hensel. --- Leopold Kronecker. --- Moritz Schlick. --- Paul Bernays. --- Peano. --- Principia Mathematica. --- Rudolf Carnap. --- Thoralf Skolem. --- Vienna Circle. --- algebraic equations. --- algebraic logic. --- algorithmic computability. --- angles. --- arithmetic. --- assumptions. --- axioms. --- basic notions. --- calculus. --- classical arithmetic. --- computation. --- connectives. --- contemporary logic. --- deduction. --- deductive reasoning. --- digital revolution. --- finitary reasoning. --- finitism. --- geometry. --- hypothetic reasoning. --- incompleteness theorems. --- indirect proofs. --- inference. --- information age. --- intuistic arithmetic. --- lattice theory. --- logic. --- logical empiricism. --- logical structure. --- logical truths. --- mathematical logic. --- mathematical proofs. --- mathematical roots. --- mathematics. --- negation. --- non-Euclidan geometries. --- notation. --- one-place predicates. --- parallel postulate. --- philosophy. --- programming language. --- proof. --- pure thinking. --- quantificational inferences. --- theorems. --- triangles.

Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105
Author:
ISBN: 0691083304 0691083312 1400881625 9780691083315 Year: 2016 Volume: no. 105 Publisher: Princeton, NJ : Princeton University Press,

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The description for this book, Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105), Volume 105, will be forthcoming.

Keywords

Calculus of variations --- Integrals, Multiple --- Differential equations, Elliptic --- Calcul des variations --- Equations différentielles elliptiques --- $ PDMC --- Multiple integrals --- Calculus of variations. --- Multiple integrals. --- Differential equations, Elliptic. --- Equations différentielles elliptiques --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Differential equations, Partial --- Double integrals --- Iterated integrals --- Triple integrals --- Integrals --- Probabilities --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- A priori estimate. --- Analytic function. --- Boundary value problem. --- Coefficient. --- Compact space. --- Convex function. --- Convex set. --- Corollary. --- Counterexample. --- David Hilbert. --- Dense set. --- Derivative. --- Differentiable function. --- Differential geometry. --- Dirichlet integral. --- Dirichlet problem. --- Division by zero. --- Ellipse. --- Energy functional. --- Equation. --- Estimation. --- Euler equations (fluid dynamics). --- Existential quantification. --- First variation. --- Generic property. --- Harmonic function. --- Harmonic map. --- Hausdorff dimension. --- Hölder's inequality. --- I0. --- Infimum and supremum. --- Limit superior and limit inferior. --- Linear equation. --- Maxima and minima. --- Maximal function. --- Metric space. --- Minimal surface. --- Multiple integral. --- Nonlinear system. --- Obstacle problem. --- Open set. --- Partial derivative. --- Quantity. --- Semi-continuity. --- Singular solution. --- Smoothness. --- Sobolev space. --- Special case. --- Stationary point. --- Subsequence. --- Subset. --- Theorem. --- Topological property. --- Topology. --- Uniform convergence. --- Variational inequality. --- Weak formulation. --- Weak solution.

Markov Processes from K. Itô's Perspective (AM-155)
Author:
ISBN: 0691115427 1400835577 0691115435 1322063230 9781400835577 9781322063232 9780691115436 9870691115427 9780691115429 Year: 2003 Publisher: Princeton, NJ

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Kiyosi Itô's greatest contribution to probability theory may be his introduction of stochastic differential equations to explain the Kolmogorov-Feller theory of Markov processes. Starting with the geometric ideas that guided him, this book gives an account of Itô's program. The modern theory of Markov processes was initiated by A. N. Kolmogorov. However, Kolmogorov's approach was too analytic to reveal the probabilistic foundations on which it rests. In particular, it hides the central role played by the simplest Markov processes: those with independent, identically distributed increments. To remedy this defect, Itô interpreted Kolmogorov's famous forward equation as an equation that describes the integral curve of a vector field on the space of probability measures. Thus, in order to show how Itô's thinking leads to his theory of stochastic integral equations, Stroock begins with an account of integral curves on the space of probability measures and then arrives at stochastic integral equations when he moves to a pathspace setting. In the first half of the book, everything is done in the context of general independent increment processes and without explicit use of Itô's stochastic integral calculus. In the second half, the author provides a systematic development of Itô's theory of stochastic integration: first for Brownian motion and then for continuous martingales. The final chapter presents Stratonovich's variation on Itô's theme and ends with an application to the characterization of the paths on which a diffusion is supported. The book should be accessible to readers who have mastered the essentials of modern probability theory and should provide such readers with a reasonably thorough introduction to continuous-time, stochastic processes.

Keywords

Markov processes. --- Stochastic difference equations. --- Itō, Kiyosi, --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Itō, K. --- Ito, Kiesi, --- Itō, Kiyoshi, --- 伊藤淸, --- 伊藤清, --- Itō, Kiyosi, --- Itō, Kiyosi, 1915-2008. --- Stochastic difference equations --- Difference equations --- Stochastic processes --- Abelian group. --- Addition. --- Analytic function. --- Approximation. --- Bernhard Riemann. --- Bounded variation. --- Brownian motion. --- Central limit theorem. --- Change of variables. --- Coefficient. --- Complete metric space. --- Compound Poisson process. --- Continuous function (set theory). --- Continuous function. --- Convergence of measures. --- Convex function. --- Coordinate system. --- Corollary. --- David Hilbert. --- Decomposition theorem. --- Degeneracy (mathematics). --- Derivative. --- Diffeomorphism. --- Differentiable function. --- Differentiable manifold. --- Differential equation. --- Differential geometry. --- Dimension. --- Directional derivative. --- Doob–Meyer decomposition theorem. --- Duality principle. --- Elliptic operator. --- Equation. --- Euclidean space. --- Existential quantification. --- Fourier transform. --- Function space. --- Functional analysis. --- Fundamental solution. --- Fundamental theorem of calculus. --- Homeomorphism. --- Hölder's inequality. --- Initial condition. --- Integral curve. --- Integral equation. --- Integration by parts. --- Invariant measure. --- Itô calculus. --- Itô's lemma. --- Joint probability distribution. --- Lebesgue measure. --- Linear interpolation. --- Lipschitz continuity. --- Local martingale. --- Logarithm. --- Markov chain. --- Markov process. --- Markov property. --- Martingale (probability theory). --- Normal distribution. --- Ordinary differential equation. --- Ornstein–Uhlenbeck process. --- Polynomial. --- Principal part. --- Probability measure. --- Probability space. --- Probability theory. --- Pseudo-differential operator. --- Radon–Nikodym theorem. --- Representation theorem. --- Riemann integral. --- Riemann sum. --- Riemann–Stieltjes integral. --- Scientific notation. --- Semimartingale. --- Sign (mathematics). --- Special case. --- Spectral sequence. --- Spectral theory. --- State space. --- State-space representation. --- Step function. --- Stochastic calculus. --- Stochastic. --- Stratonovich integral. --- Submanifold. --- Support (mathematics). --- Tangent space. --- Tangent vector. --- Taylor's theorem. --- Theorem. --- Theory. --- Topological space. --- Topology. --- Translational symmetry. --- Uniform convergence. --- Variable (mathematics). --- Vector field. --- Weak convergence (Hilbert space). --- Weak topology.


Book
Circles disturbed
Authors: ---
ISBN: 1283457040 9786613457042 1400842689 9781400842681 9780691149042 0691149046 9781283457040 Year: 2012 Publisher: Princeton Princeton University Press

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Circles Disturbed brings together important thinkers in mathematics, history, and philosophy to explore the relationship between mathematics and narrative. The book's title recalls the last words of the great Greek mathematician Archimedes before he was slain by a Roman soldier--"Don't disturb my circles"--words that seem to refer to two radically different concerns: that of the practical person living in the concrete world of reality, and that of the theoretician lost in a world of abstraction. Stories and theorems are, in a sense, the natural languages of these two worlds--stories representing the way we act and interact, and theorems giving us pure thought, distilled from the hustle and bustle of reality. Yet, though the voices of stories and theorems seem totally different, they share profound connections and similarities. A book unlike any other, Circles Disturbed delves into topics such as the way in which historical and biographical narratives shape our understanding of mathematics and mathematicians, the development of "myths of origins" in mathematics, the structure and importance of mathematical dreams, the role of storytelling in the formation of mathematical intuitions, the ways mathematics helps us organize the way we think about narrative structure, and much more. In addition to the editors, the contributors are Amir Alexander, David Corfield, Peter Galison, Timothy Gowers, Michael Harris, David Herman, Federica La Nave, G.E.R. Lloyd, Uri Margolin, Colin McLarty, Jan Christoph Meister, Arkady Plotnitsky, and Bernard Teissier.

Keywords

Mathematics --- Communication in mathematics. --- Math --- Science --- Language. --- History. --- Alasdair MacIntyre. --- Archimedes. --- Aristotle. --- Bleak House. --- Borel sets. --- Bourbaki. --- Carl Friedrich Gauss. --- David Hilbert. --- Emmy Noether. --- Enlightenment. --- G. E. R. Lloyd. --- Georg Cantor. --- Greece. --- Jean-Pierre Vernant. --- John Archibald Wheeler. --- K-ness. --- L'Algebra. --- Leo Perutz. --- Leopold Kronecker. --- Middlemarch. --- Paul Gordan. --- Plato. --- Rafael Bombelli. --- Robert Thomason. --- ThomasonДrobaugh article. --- Tom Trobaugh. --- abstraction. --- aesthetic contingency. --- algebra. --- automated theorem provers. --- axiomatic mathematics. --- belief. --- chiasmus. --- clues. --- cognitive meaning. --- compound machines. --- computational modeling. --- computer simulations. --- cubic equations. --- deductive mathematics. --- diagramma. --- dreams. --- energeia. --- epistemology. --- existential contingency. --- explanation. --- exploration mathematics. --- finiteness theorems. --- focalization. --- forensic rhetoric. --- formal models. --- geometry. --- ghost. --- ghostwriter. --- group. --- highest common factor. --- imaginary numbers. --- incommensurability. --- intuition. --- irony. --- literary narrative. --- literature. --- machine metaphor. --- mathematical argument. --- mathematical concepts. --- mathematical enquiry. --- mathematical line. --- mathematical modeling. --- mathematical models. --- mathematical objects. --- mathematical physics. --- mathematicians. --- mathematics. --- metanarratology. --- metaphor. --- myth. --- narrative analysis. --- narrative representation. --- narrative subjectivity. --- narrative. --- narratology. --- negative numbers. --- non-Euclidean epistemology. --- non-Euclidean geometry. --- non-Euclidean mathematics. --- non-Euclidean physics. --- non-Euclidean thinking. --- orthe. --- permutation groups. --- perspective. --- poetic storytelling. --- polynomial equations. --- proof. --- quantum mechanics. --- rational enquiry. --- rationality. --- reality. --- scientific inquiry. --- square roots. --- story generator algorithm. --- story grammars. --- story. --- storytelling. --- structural linguistics. --- symbols. --- theology. --- theorems. --- tragic mathematical heroes. --- truth. --- variste Galois. --- vestibular line. --- visions. --- visual line. --- vividness. --- Communication in mathematics


Book
Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47)
Authors: --- --- --- --- --- et al.
ISBN: 1400865255 9781400865253 Year: 2014 Publisher: Princeton, NJ

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Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book's inspiration is Princeton University mathematics professor Edward Nelson's influential work in probability, functional analysis, nonstandard analysis, stochastic mechanics, and logic. The book can be used as a tutorial or reference, or read for pleasure by anyone interested in the role of mathematics in science. Because of the application of diffusive motion to quantum theory, it will interest physicists as well as mathematicians. The introductory chapter describes the interrelationships between the various themes, many of which were first brought to light by Edward Nelson. In his writing and conversation, Nelson has always emphasized and relished the human aspect of mathematical endeavor. In his intellectual world, there is no sharp boundary between the mathematical, the cultural, and the spiritual. It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes.

Keywords

Mathematical physics. --- Diffusion. --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Gases --- Liquids --- Separation (Technology) --- Solution (Chemistry) --- Solutions, Solid --- Matter --- Packed towers --- Semiconductor doping --- Physical mathematics --- Diffusion --- Properties --- Mathematics --- Affine space. --- Algebra. --- Axiom. --- Bell's theorem. --- Brownian motion. --- Central limit theorem. --- Classical mathematics. --- Classical mechanics. --- Clifford algebra. --- Combinatorial proof. --- Commutative property. --- Constructive quantum field theory. --- Continuum hypothesis. --- David Hilbert. --- Dimension (vector space). --- Discrete mathematics. --- Distribution (mathematics). --- Eigenfunction. --- Equation. --- Euclidean space. --- Experimental mathematics. --- Fermi–Dirac statistics. --- Feynman–Kac formula. --- First-order logic. --- Fokker–Planck equation. --- Foundations of mathematics. --- Fractal dimension. --- Gaussian process. --- Girsanov theorem. --- Gödel's incompleteness theorems. --- Hilbert space. --- Hilbert's program. --- Holomorphic function. --- Infinitesimal. --- Integer. --- Internal set theory. --- Interval (mathematics). --- Limit (mathematics). --- Mathematical induction. --- Mathematical optimization. --- Mathematical proof. --- Mathematician. --- Mathematics. --- Measurable function. --- Measure (mathematics). --- Minkowski space. --- Natural number. --- Neo-Riemannian theory. --- Non-standard analysis. --- Number theory. --- Operator algebra. --- Ornstein–Uhlenbeck process. --- Orthonormal basis. --- Perturbation theory (quantum mechanics). --- Philosophy of mathematics. --- Predicate (mathematical logic). --- Probability measure. --- Probability space. --- Probability theory. --- Probability. --- Projection (linear algebra). --- Pure mathematics. --- Pythagorean theorem. --- Quantum field theory. --- Quantum fluctuation. --- Quantum gravity. --- Quantum harmonic oscillator. --- Quantum mechanics. --- Quantum system. --- Quantum teleportation. --- Random variable. --- Real number. --- Renormalization group. --- Renormalization. --- Riemann mapping theorem. --- Riemann surface. --- Riemannian geometry. --- Riemannian manifold. --- Schrödinger equation. --- Scientific notation. --- Set (mathematics). --- Sign (mathematics). --- Sobolev inequality. --- Special relativity. --- Spectral theorem. --- Spin (physics). --- Statistical mechanics. --- Stochastic calculus. --- Stochastic differential equation. --- Tensor algebra. --- Theorem. --- Theoretical physics. --- Theory. --- Turing machine. --- Variable (mathematics). --- Von Neumann algebra. --- Wiener process. --- Wightman axioms. --- Zermelo–Fraenkel set theory.


Book
The Best Writing on Mathematics 2018
Author:
ISBN: 0691188726 Year: 2018 Publisher: Princeton, NJ : Princeton University Press,

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The year's finest mathematical writing from around the worldThis annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else-and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice-and taking readers behind the scenes of today's hottest mathematical debates.James Grime shows how to build subtly mischievous dice for playing slightly unfair games, David Rowe investigates the many different meanings and pedigrees of mathematical models, and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world-with glimpses at science, philosophy, music, art, and even crocheting. And there's much, much more.In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics.This is a must-read for anyone interested in where math has taken us-and where it is headed.

Keywords

Mathematics --- Accuracy and precision. --- Alan Turing. --- Algebra I. --- Algebra II. --- Algebra. --- American Mathematical Society. --- Applied mathematics. --- Approximation algorithm. --- Arithmetic. --- Big Science. --- Boolean satisfiability problem. --- Calculation. --- Candidate solution. --- Combinatorial proof. --- Computational geometry. --- Computational mathematics. --- Computational science. --- Computer Science Teachers Association. --- Computer scientist. --- David Hilbert. --- Discrete mathematics. --- Dynamic programming. --- Education. --- Educational Studies in Mathematics. --- Experimental mathematics. --- Foundations of mathematics. --- Fundamental theorem of algebra. --- Geometry. --- Gödel's incompleteness theorems. --- Hardness of approximation. --- Heuristic. --- Hilbert space. --- Homological mirror symmetry. --- Interdisciplinary Contest in Modeling. --- International Mathematical Union. --- Joint Policy Board for Mathematics. --- Language of mathematics. --- Learning sciences. --- Liberal arts education. --- Linear algebra. --- Logic. --- London Mathematical Society. --- MIT Mathematics Department. --- Mathematica. --- Mathematical Association of America. --- Mathematical Reviews. --- Mathematical analysis. --- Mathematical and theoretical biology. --- Mathematical beauty. --- Mathematical logic. --- Mathematical physics. --- Mathematical practice. --- Mathematical problem. --- Mathematical proof. --- Mathematical sciences. --- Mathematical software. --- Mathematician. --- Mathematics education. --- Mathematics. --- Meaningful learning. --- New Math. --- Nobel Prize in Physics. --- Number theory. --- Numerical analysis. --- Open problem. --- Optimization problem. --- Philosophy of mathematics. --- Prime number. --- Proof by exhaustion. --- Proof complexity. --- Propositional calculus. --- Pure mathematics. --- Pythagorean theorem. --- Quadratic formula. --- Quantum geometry. --- Ramsey theory. --- Rational trigonometry. --- Recreational mathematics. --- Reverse mathematics. --- Riemann hypothesis. --- Riemannian geometry. --- Robustness (computer science). --- Satisfiability modulo theories. --- Schur's theorem. --- Science education. --- Sign (mathematics). --- Society for Industrial and Applied Mathematics. --- Solver. --- The College Mathematics Journal. --- The Mathematical Experience. --- The Mathematical Intelligencer. --- The Unreasonable Effectiveness of Mathematics in the Natural Sciences. --- The Value of Science. --- Theoretical computer science. --- Topological combinatorics. --- Traditional mathematics. --- Trigonometric tables. --- Turing machine. --- Variable (mathematics). --- Writing.


Book
Prime Suspects : The Anatomy of Integers and Permutations
Authors: ---
ISBN: 0691188734 Year: 2019 Publisher: Princeton, NJ : Princeton University Press,

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An outrageous graphic novel that investigates key concepts in mathematicsIntegers and permutations-two of the most basic mathematical objects-are born of different fields and analyzed with different techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body.Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics.Travel with Detective von Neumann as he leaves no clue unturned, from shepherds' huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the pain as you work with our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all.Beautifully drawn and wittily and exquisitely detailed, Prime Suspects is unique, astonishing, and outrageous-a once-in-a-lifetime opportunity to experience mathematics like never before.

Keywords

Mathematics --- Math --- Science --- Accuracy and precision. --- Alan Turing. --- Alexander Grothendieck. --- Analytic number theory. --- Anatoly Vershik. --- Arithmetic. --- Atle Selberg. --- Ben Green (mathematician). --- Bernhard Riemann. --- Bessel function. --- Big O notation. --- Binary logarithm. --- Bryna Kra. --- Calculation. --- Child prodigy. --- Coefficient. --- Comic book. --- Conjecture. --- Coprime integers. --- Cryptography. --- David Hilbert. --- Diagram (category theory). --- Diophantine geometry. --- Diophantus. --- Disquisitiones Arithmeticae. --- Emil Artin. --- Emmy Noether. --- Enrico Bombieri. --- Erica Klarreich. --- Felix Klein. --- Fermat's Last Theorem. --- Fields Medal. --- Friedrich Bessel. --- Fundamental theorem of arithmetic. --- Gamma function. --- Gauss sum. --- Gelfand. --- Grigori Perelman. --- Henri Cartan. --- Hermann Weyl. --- Hilbert's tenth problem. --- Integer. --- Jean-Pierre Serre. --- Joint probability distribution. --- Julia Robinson. --- Keith Devlin. --- Klaus Roth. --- Kloosterman sum. --- Language of mathematics. --- Logarithm. --- Log-log plot. --- Manjul Bhargava. --- Maryam Mirzakhani. --- Mathematical problem. --- Mathematical sciences. --- Mathematician. --- Mathematics. --- Men of Mathematics. --- Millennium Prize Problems. --- Modular form. --- Monic polynomial. --- Multiplication table. --- Natural logarithm. --- Natural number. --- Nicolas Bourbaki. --- Normal distribution. --- Number theory. --- Occam's razor. --- Oswald Veblen. --- Parity (mathematics). --- Permutation. --- Persi Diaconis. --- Peter Gustav Lejeune Dirichlet. --- Peter Scholze. --- Pierre Deligne. --- Pierre Samuel. --- Plus-minus sign. --- Poisson distribution. --- Polynomial. --- Prime factor. --- Prime number. --- Prime power. --- Probability theory. --- Proportionality (mathematics). --- Pure mathematics. --- Random permutation. --- Richard Dedekind. --- Riemann hypothesis. --- Riemann surface. --- Riemann zeta function. --- Robin Hartshorne. --- Saunders Mac Lane. --- Serge Lang. --- Shinichi Mochizuki. --- Siegel zero. --- Sieve theory. --- Sophie Germain. --- Stirling numbers of the first kind. --- Summation. --- Variable (mathematics).


Book
A century in books : Princeton University Press 1905-2005.
Author:
ISBN: 0691238170 Year: 2005 Publisher: Princeton, New Jersey : Princeton University Press,

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It all began atop a drugstore in Princeton, New Jersey, in November 1905. From its modest beginnings, Princeton University Press was to become one of the world's most important scholarly publishers, embracing a wealth of disciplines that have enriched our cultural, academic, and scientific landscape.Both as a tribute to our authors and to celebrate our centenary, Princeton University Press here presents A Century in Books. This beautifully designed volume highlights 100 of the nearly 8,000 books we have published. Necessarily winnowed from a much larger list, these books best typify what has been most lasting, most defining, and most distinctive about our publishing history--from Einstein's The Meaning of Relativity (1922) to the numerous mathematical and other works that marked the Press's watershed decade of the 1940s, including von Neumann and Morgenstern's Theory of Games and Economic Behavior; from milestones of literary criticism by Erich Auerbach and Northop Frye to George Kennan's Pulitzer Prize-winning book on Soviet-American relations; from Milton Friedman and Anna Jacobson Schwartz's A Monetary History of the United States, 1867-1960 to more recent landmarks such as L. Luca Cavalli-Sforza, Paolo Menozzi, and Alberto Piazza's The History and Geography of Human Genes and Robert Shiller's Irrational Exuberance.In addition to succinct descriptions of the 100 titles and a short introduction on the history of the Press, the book features five essays by prominent scholars and writers: Michael Wood discusses the impact on Princeton University Press of intellectuals who fled Nazi Germany and authored many influential books. Anthony Grafton recounts our rich publishing tradition in history, politics, and culture. Sylvia Nasar traces our evolution into a leading voice in economics publishing. Daniel Kevles reflects on Einstein, a figure of special importance to Princeton. And Lord Robert May writes on our long-standing tradition of publishing in mathematics and science.A Century in Books is more than a celebration of 100 years of publishing at Princeton University Press--it is a treasure trove of 100 years of books that have added to the richness of twentieth-century intellectual life.

Keywords

University presses --- History. --- Princeton University Press --- Ancient history. --- Anthony Grafton. --- Archival research. --- Astronomer. --- Author. --- Book design. --- Book series. --- Burckhardt. --- Capitalism. --- Career. --- Celestial mechanics. --- Clive Granger. --- Computation. --- David Hilbert. --- Econometrics. --- Economist. --- Edith Hamilton. --- Editing. --- Edition (book). --- Editorial. --- Edward Said. --- Empiricism. --- English literature. --- Episode. --- Eranos. --- Ernst Kantorowicz. --- Erudition. --- Erwin Panofsky. --- Essay. --- Facsimile. --- From Caligari to Hitler. --- Gresham Sykes. --- Hans Baron. --- Hardcover. --- Henri Pirenne. --- Hermann Weyl. --- Historicism. --- Humanities. --- Illustration. --- Institution. --- Intellectual history. --- Interwar period. --- J. Franklin Jameson. --- James Merrill. --- John Harsanyi. --- John Maynard Keynes. --- Joseph Strayer. --- Lecture. --- Literature. --- Mainframe computer. --- Mathematician. --- Mathematics. --- Max Planck. --- Modern architecture. --- Modern history. --- Modernity. --- Monarchies in Europe. --- Monograph. --- Narrative. --- Nikolaus Pevsner. --- Novelist. --- Number theory. --- Of Education. --- Old Testament. --- Oskar Morgenstern. --- Paul Samuelson. --- Philology. --- Philosopher. --- Philosophy. --- Physicist. --- Poetry. --- Political science. --- Politics. --- Princeton University Press. --- Princeton University. --- Printing. --- Publication. --- Publishing. --- Renaissance art. --- Renaissance. --- Richard Krautheimer. --- Robert Gilpin. --- Samuel Eilenberg. --- Scientist. --- Stephen Spender. --- Steven Shapin. --- Sylvia Nasar. --- T. S. Eliot. --- Textbook. --- The New York Review of Books. --- The New York Times. --- Theory. --- Time series. --- Time value of money. --- Title page. --- Tradition. --- Vladimir Nabokov. --- Wilhelm Dilthey. --- World War II. --- Writing. --- Auerbach, Erich, 1892-1957 --- Baron, Hans, --- Conkwright, P. J. --- Dilthey, Wilhelm, --- Einstein, Albert, --- Eilenberg, Samuel --- Eliot, T. S. --- Frye, Northrop --- Friedman, Milton, --- Grafton, Anthony --- Granger, C. W. J. --- Gilpin, Robert --- Hilbert, David, --- Hamilton, Edith, --- Harsanyi, John C. --- Jameson, J. Franklin --- Kevles, Daniel J., --- Kennan, George F. --- Kantorowicz, Ernst H. --- Krautheimer, Richard, --- May, Robert M. --- Morgenstern, Oskar, --- Merrill, James, --- Nasar, Sylvia --- Nabokov, Vladimir, --- Panofsky, Erwin, --- Pirenne, Henri, --- Planck, Max, --- Pevsner, Nikolaus, --- Schwartz, Anna J. --- Said, Edward W. --- Sykes, Gresham M. --- Strayer, Joseph R. --- Samuelson, Paul A. --- Spender, Stephen, --- Shapin, Steven --- Von Neumann, John, --- Wood, Michael, --- Wright, Frank Lloyd, --- Weyl, Hermann,

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