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Die Ikonen des Gesetzes fokussieren die Frage, wie absolut Mögliches ausgedrückt werden kann. Dazu werden Parallelen zwischen der bildenden Kunst, der Literatur, der Philosophie und der modernen Mathematik analysiert. Das Buch ist ein Schlüssel zum philosophischen Werk von Cacciari. Es ist lesbar als eine Ästhetik, die Cacciari mit dem Komponisten Luigi Nono erschlossen hat. Ihr gemeinsames Programm zielt auf die Sprengung des Kontinuums von Raum und Zeit, auf die Möglichkeit, die radikale Veränderung denkbar werden lässt. Das Nachwort orientiert über das philosophische Werk Cacciaris und dessen fragmentarische Rezeption in deutschen Übersetzungen.

Religionsphilosophie --- politische Philosophie --- Ästhetik --- Wissenschaftstheorie --- political philosophy --- philosophy of religion --- Paul Klee --- Martin Heidegger --- aesthetic --- Arnold Schönberg --- Bildtheorie --- Carl Schmitt --- continuum --- cultural theory --- epistemology of science --- Franz Kafka --- Franz Rosenzweig --- Hermann Broch --- Hermann Weyl --- Iconic turn --- image theory --- Kazimir Malewitsch --- Kontinuum --- Kulturwissenschaften --- Luitzen Brouwer

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The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.

Complex analysis --- Holomorphic mappings --- Applications holomorphes --- 517.53 --- Mappings, Holomorphic --- Functions of several complex variables --- Mappings (Mathematics) --- Functions of a complex variable --- Holomorphic mappings. --- 517.53 Functions of a complex variable --- Fonctions de plusieurs variables complexes --- Fonctions entières --- Functions, Entire --- Algebraic variety. --- Analytic function. --- Analytic set. --- Armand Borel. --- Big O notation. --- Canonical bundle. --- Cartesian coordinate system. --- Characteristic function (probability theory). --- Characterization (mathematics). --- Chern class. --- Compact Riemann surface. --- Compact space. --- Complex analysis. --- Complex manifold. --- Complex projective space. --- Corollary. --- Counting. --- Curvature. --- Degeneracy (mathematics). --- Derivative. --- Differential form. --- Dimension. --- Divisor. --- Elementary proof. --- Entire function. --- Equation. --- Exponential growth. --- Gaussian curvature. --- Hermann Weyl. --- Hodge theory. --- Holomorphic function. --- Hyperplane. --- Hypersurface. --- Infinite product. --- Integral geometry. --- Invariant measure. --- Inverse problem. --- Jacobian matrix and determinant. --- Kähler manifold. --- Line bundle. --- Linear equation. --- Logarithmic derivative. --- Manifold. --- Meromorphic function. --- Modular form. --- Monograph. --- Nevanlinna theory. --- Nonlinear system. --- Phillip Griffiths. --- Picard theorem. --- Polynomial. --- Projective space. --- Q.E.D. --- Quantity. --- Ricci curvature. --- Riemann sphere. --- Scientific notation. --- Several complex variables. --- Special case. --- Stokes' theorem. --- Subset. --- Summation. --- Theorem. --- Theory. --- Uniformization theorem. --- Unit square. --- Volume form. --- Fonctions entières

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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.

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).

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Singularities of solutions of differential equations forms the common theme of these papers taken from a seminar held at the Institute for Advanced Study in Princeton in 1977-1978. While some of the lectures were devoted to the analysis of singularities, others focused on applications in spectral theory. As an introduction to the subject, this volume treats current research in the field in such a way that it can be studied with profit by the non-specialist.

Partial differential equations --- Differential equations, Linear --- Differential equations, Partial --- Equations différentielles linéaires --- Equations aux dérivées partielles --- Numerical solutions --- Congresses --- Solutions numériques --- Congrès --- Théorie asymptotique --- 517.95 --- -Differential equations, Partial --- -Partial differential equations --- Linear differential equations --- Linear systems --- Insect societies. --- Insects --- Congresses. --- Ecology. --- 517.95 Partial differential equations --- -517.95 Partial differential equations --- Equations différentielles linéaires --- Equations aux dérivées partielles --- Solutions numériques --- Congrès --- Théorie asymptotique --- -Hexapoda --- Insecta --- Pterygota --- Arthropoda --- Entomology --- Behavior, Animal --- Ecology --- Insecta. --- Insect societies --- Sociétés d'insectes --- Insectes --- Ecologie --- Numerical solutions&delete& --- Insects, Social --- Social insects --- Animal societies --- Behavior --- Insects. Springtails --- Animal ethology and ecology. Sociobiology --- Behavior, Animal. --- Équations aux dérivées partielles --- Solutions numériques. --- A priori estimate. --- Adjoint equation. --- Analytic continuation. --- Analytic function. --- Analytic manifold. --- Asymptote. --- Asymptotic analysis. --- Asymptotic distribution. --- Asymptotic expansion. --- Asymptotic formula. --- Big O notation. --- Calculus on manifolds. --- Canonical transformation. --- Characteristic equation. --- Characteristic function (probability theory). --- Codimension. --- Cohomology. --- Commutator. --- Complex manifold. --- Complex number. --- Continuous function (set theory). --- Continuous function. --- Covariant derivative. --- Diffeomorphism. --- Differential equation. --- Differential operator. --- Dirichlet problem. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Elementary proof. --- Elliptic boundary value problem. --- Equation. --- Equivalence class. --- Equivalence relation. --- Error term. --- Existence theorem. --- Existential quantification. --- Exponential function. --- Fourier integral operator. --- Fourier inversion theorem. --- Fourier transform. --- Functional calculus. --- Fundamental solution. --- Hamiltonian vector field. --- Hardy space. --- Harmonic analysis. --- Hermann Weyl. --- Hermitian adjoint. --- Hilbert space. --- Holomorphic function. --- Homogeneous function. --- Hyperbolic partial differential equation. --- Hyperfunction. --- Hypersurface. --- Inclusion map. --- Inequality (mathematics). --- Integer lattice. --- Integral transform. --- Irreducible representation. --- Lagrangian (field theory). --- Laplace operator. --- Limit (mathematics). --- Linear map. --- Local diffeomorphism. --- Manifold. --- Mathematical optimization. --- Maximal torus. --- Monotonic function. --- Ordinary differential equation. --- Oscillatory integral. --- Partial differential equation. --- Partition of unity. --- Poisson bracket. --- Poisson summation formula. --- Polynomial. --- Projection (linear algebra). --- Projective variety. --- Pseudo-differential operator. --- Regularity theorem. --- Renormalization. --- Riemann surface. --- Riemannian manifold. --- Riesz representation theorem. --- Self-adjoint operator. --- Self-adjoint. --- Sign (mathematics). --- Special case. --- Spectral theorem. --- Spectral theory. --- Summation. --- Support (mathematics). --- Symplectic geometry. --- Symplectic manifold. --- Taylor series. --- Theorem. --- Toeplitz operator. --- Trace class. --- Trigonometric polynomial. --- Unit disk. --- Variable (mathematics). --- Equations aux derivees partielles lineaires --- Équations aux dérivées partielles --- Solutions numériques.