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The description for this book, K-Theory of Forms. (AM-98), Volume 98, will be forthcoming.

Category theory. Homological algebra --- 515.14 --- Algebraic topology --- 515.14 Algebraic topology --- Forms (Mathematics) --- K-theory --- Modules (Algebra) --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings (Algebra) --- Homology theory --- Quantics --- Mathematics --- K-theory. --- Abelian group. --- Addition. --- Algebraic K-theory. --- Algebraic topology. --- Approximation. --- Arithmetic. --- Canonical map. --- Coefficient. --- Cokernel. --- Computation. --- Coprime integers. --- Coset. --- Direct limit. --- Direct product. --- Division ring. --- Elementary matrix. --- Exact sequence. --- Finite group. --- Finite ring. --- Free module. --- Functor. --- General linear group. --- Global field. --- Group homomorphism. --- Group ring. --- Homology (mathematics). --- Integer. --- Invertible matrix. --- Isomorphism class. --- Linear map. --- Local field. --- Matrix group. --- Maxima and minima. --- Mayer–Vietoris sequence. --- Module (mathematics). --- Monoid. --- Morphism. --- Natural transformation. --- Normal subgroup. --- P-group. --- Parameter. --- Power of two. --- Product category. --- Projective module. --- Quadratic form. --- Requirement. --- Ring of integers. --- Semisimple algebra. --- Sesquilinear form. --- Special case. --- Steinberg group (K-theory). --- Steinberg group. --- Subcategory. --- Subgroup. --- Subspace topology. --- Surjective function. --- Theorem. --- Theory. --- Topological group. --- Topological ring. --- Topology. --- Torsion subgroup. --- Triviality (mathematics). --- Unification (computer science). --- Unitary group. --- Witt group. --- K-théorie

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In this monograph p-adic period domains are associated to arbitrary reductive groups. Using the concept of rigid-analytic period maps the relation of p-adic period domains to moduli space of p-divisible groups is investigated. In addition, non-archimedean uniformization theorems for general Shimura varieties are established. The exposition includes background material on Grothendieck's "mysterious functor" (Fontaine theory), on moduli problems of p-divisible groups, on rigid analytic spaces, and on the theory of Shimura varieties, as well as an exposition of some aspects of Drinfelds' original construction. In addition, the material is illustrated throughout the book with numerous examples.

p-adic groups --- p-divisible groups --- Moduli theory --- 512.7 --- Theory of moduli --- Analytic spaces --- Functions of several complex variables --- Geometry, Algebraic --- Groups, p-divisible --- Group schemes (Mathematics) --- Groups, p-adic --- Group theory --- Algebraic geometry. Commutative rings and algebras --- 512.7 Algebraic geometry. Commutative rings and algebras --- p-divisible groups. --- Moduli theory. --- p-adic groups. --- Abelian variety. --- Addition. --- Alexander Grothendieck. --- Algebraic closure. --- Algebraic number field. --- Algebraic space. --- Algebraically closed field. --- Artinian ring. --- Automorphism. --- Base change. --- Basis (linear algebra). --- Big O notation. --- Bilinear form. --- Canonical map. --- Cohomology. --- Cokernel. --- Commutative algebra. --- Commutative ring. --- Complex multiplication. --- Conjecture. --- Covering space. --- Degenerate bilinear form. --- Diagram (category theory). --- Dimension (vector space). --- Dimension. --- Duality (mathematics). --- Elementary function. --- Epimorphism. --- Equation. --- Existential quantification. --- Fiber bundle. --- Field of fractions. --- Finite field. --- Formal scheme. --- Functor. --- Galois group. --- General linear group. --- Geometric invariant theory. --- Hensel's lemma. --- Homomorphism. --- Initial and terminal objects. --- Inner automorphism. --- Integral domain. --- Irreducible component. --- Isogeny. --- Isomorphism class. --- Linear algebra. --- Linear algebraic group. --- Local ring. --- Local system. --- Mathematical induction. --- Maximal ideal. --- Maximal torus. --- Module (mathematics). --- Moduli space. --- Monomorphism. --- Morita equivalence. --- Morphism. --- Multiplicative group. --- Noetherian ring. --- Open set. --- Orthogonal basis. --- Orthogonal complement. --- Orthonormal basis. --- P-adic number. --- Parity (mathematics). --- Period mapping. --- Prime element. --- Prime number. --- Projective line. --- Projective space. --- Quaternion algebra. --- Reductive group. --- Residue field. --- Rigid analytic space. --- Semisimple algebra. --- Sheaf (mathematics). --- Shimura variety. --- Special case. --- Subalgebra. --- Subgroup. --- Subset. --- Summation. --- Supersingular elliptic curve. --- Support (mathematics). --- Surjective function. --- Symmetric bilinear form. --- Symmetric space. --- Tate module. --- Tensor algebra. --- Tensor product. --- Theorem. --- Topological ring. --- Topology. --- Torsor (algebraic geometry). --- Uniformization theorem. --- Uniformization. --- Unitary group. --- Weil group. --- Zariski topology.

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The present volume reflects both the diversity of Bochner's pursuits in pure mathematics and the influence his example and thought have had upon contemporary researchers.Originally published in 1971.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Mathematical analysis --- -Advanced calculus --- Analysis (Mathematics) --- Algebra --- Addresses, essays, lectures --- Mathematical analysis. --- -517.1 Mathematical analysis --- -Addresses, essays, lectures --- 517.1 Mathematical analysis --- 517.1. --- Approximation theory. --- System analysis. --- 517.1 --- Network analysis --- Network science --- Network theory --- Systems analysis --- System theory --- Mathematical optimization --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- Absolute continuity. --- Analytic continuation. --- Analytic function. --- Asymptotic expansion. --- Automorphism. --- Banach algebra. --- Banach space. --- Bessel function. --- Big O notation. --- Bounded operator. --- Branch point. --- Cauchy's integral formula. --- Cauchy's integral theorem. --- Characterization (mathematics). --- Cohomology. --- Commutative property. --- Compact operator. --- Compact space. --- Complex analysis. --- Complex number. --- Complex plane. --- Continuous function (set theory). --- Continuous function. --- Convolution. --- Coset. --- Covariance operator. --- Differentiable function. --- Differentiable manifold. --- Differential form. --- Dimension (vector space). --- Discrete group. --- Dominated convergence theorem. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Equation. --- Equivalence class. --- Even and odd functions. --- Existential quantification. --- First variation. --- Formal power series. --- Fréchet derivative. --- Fubini's theorem. --- Function space. --- Functional analysis. --- Fundamental group. --- Green's function. --- Haar measure. --- Hermite polynomials. --- Hermitian symmetric space. --- Holomorphic function. --- Hyperbolic partial differential equation. --- Infimum and supremum. --- Infinite product. --- Integral equation. --- Lebesgue measure. --- Lie algebra. --- Lie group. --- Linear map. --- Markov chain. --- Meromorphic function. --- Metric space. --- Monotonic function. --- Natural number. --- Norm (mathematics). --- Normal subgroup. --- Null set. --- Partition of unity. --- Pointwise. --- Polynomial. --- Power series. --- Pseudogroup. --- Riemann surface. --- Riemannian manifold. --- Schrödinger equation. --- Self-adjoint operator. --- Self-adjoint. --- Semigroup. --- Semisimple algebra. --- Sesquilinear form. --- Sign (mathematics). --- Singular perturbation. --- Special case. --- Spectral theory. --- Stokes' theorem. --- Subgroup. --- Submanifold. --- Subset. --- Support (mathematics). --- Symplectic geometry. --- Symplectic manifold. --- Theorem. --- Uniform convergence. --- Unitary operator. --- Unitary representation. --- Upper and lower bounds. --- Vector bundle. --- Vector field. --- Volterra's function. --- Weierstrass theorem. --- Zorn's lemma.

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As the Roaring Twenties lurched into the Great Depression, to be followed by the scourge of Nazi Germany and World War II, American mathematicians pursued their research, positioned themselves collectively within American science, and rose to global mathematical hegemony. How did they do it? This book explores the institutional, financial, social, and political forces that shaped and supported this community in the first half of the 20th century. In doing so, Karen Hunger Parshall debunks the widely held view that American mathematics only thrived after European émigrés fled to the shores of the United States.

Mathematics --- HISTORY / United States / 20th Century. --- MATHEMATICS / History & Philosophy. --- Research. --- Research --- History --- United States. --- Math --- Science --- Mathematical research --- ABŞ --- ABSh --- Ameerika Ühendriigid --- America (Republic) --- Amerika Birlăshmish Shtatlary --- Amerika Birlăşmi Ştatları --- Amerika Birlăşmiş Ştatları --- Amerika ka Kelenyalen Jamanaw --- Amerika Qūrama Shtattary --- Amerika Qŭshma Shtatlari --- Amerika Qushma Shtattary --- Amerika (Republic) --- Amerikai Egyesült Államok --- Amerikanʹ Veĭtʹsėndi︠a︡vks Shtattnė --- Amerikări Pĕrleshu̇llĕ Shtatsem --- Amerikas Forenede Stater --- Amerikayi Miatsʻyal Nahangner --- Ameriketako Estatu Batuak --- Amirika Carékat --- AQSh --- Ar. ha-B. --- Arhab --- Artsot ha-Berit --- Artzois Ha'bris --- Bí-kok --- Ē.P.A. --- EE.UU. --- Egyesült Államok --- ĒPA --- Estados Unidos --- Estados Unidos da América do Norte --- Estados Unidos de América --- Estaos Xuníos --- Estaos Xuníos d'América --- Estatos Unitos --- Estatos Unitos d'America --- Estats Units d'Amèrica --- Ètats-Unis d'Amèrica --- États-Unis d'Amérique --- Fareyniḳṭe Shṭaṭn --- Feriene Steaten --- Feriene Steaten fan Amearika --- Forente stater --- FS --- Hēnomenai Politeiai Amerikēs --- Hēnōmenes Politeies tēs Amerikēs --- Hiwsisayin Amerikayi Miatsʻeal Tērutʻiwnkʻ --- Istadus Unidus --- Jungtinės Amerikos valstybės --- Mei guo --- Mei-kuo --- Meiguo --- Mî-koet --- Miatsʻyal Nahangner --- Miguk --- Na Stàitean Aonaichte --- NSA --- S.U.A. --- SAD --- Saharat ʻAmērikā --- SASht --- Severo-Amerikanskie Shtaty --- Severo-Amerikanskie Soedinennye Shtaty --- Si︠e︡vero-Amerikanskīe Soedinennye Shtaty --- Sjedinjene Američke Države --- Soedinennye Shtaty Ameriki --- Soedinennye Shtaty Severnoĭ Ameriki --- Soedinennye Shtaty Si︠e︡vernoĭ Ameriki --- Spojené obce severoamerické --- Spojené staty americké --- SShA --- Stadoù-Unanet Amerika --- Stáit Aontaithe Mheiriceá --- Stany Zjednoczone --- Stati Uniti --- Stati Uniti d'America --- Stâts Unîts --- Stâts Unîts di Americhe --- Steatyn Unnaneysit --- Steatyn Unnaneysit America --- SUA (Stati Uniti d'America) --- Sŭedineni amerikanski shtati --- Sŭedinenite shtati --- Tetã peteĩ reko Amérikagua --- U.S. --- U.S.A. --- United States of America --- Unol Daleithiau --- Unol Daleithiau America --- Unuiĝintaj Ŝtatoj de Ameriko --- US --- USA --- Usono --- Vaeinigte Staatn --- Vaeinigte Staatn vo Amerika --- Vereinigte Staaten --- Vereinigte Staaten von Amerika --- Verenigde State van Amerika --- Verenigde Staten --- VS --- VSA --- Wááshindoon Bikéyah Ałhidadiidzooígíí --- Wilāyāt al-Muttaḥidah --- Wilāyāt al-Muttaḥidah al-Amirīkīyah --- Wilāyāt al-Muttaḥidah al-Amrīkīyah --- Yhdysvallat --- Yunaeted Stet --- Yunaeted Stet blong Amerika --- ZDA --- Združene države Amerike --- Zʹi︠e︡dnani Derz︠h︡avy Ameryky --- Zjadnośone staty Ameriki --- Zluchanyi︠a︡ Shtaty Ameryki --- Zlucheni Derz︠h︡avy --- ZSA --- Η.Π.Α. --- Ηνωμένες Πολιτείες της Αμερικής --- Америка (Republic) --- Американь Вейтьсэндявкс Штаттнэ --- Америкӑри Пӗрлешӳллӗ Штатсем --- САЩ --- Съединените щати --- Злучаныя Штаты Амерыкі --- ولايات المتحدة --- ولايات المتّحدة الأمريكيّة --- ولايات المتحدة الامريكية --- 미국 --- États-Unis --- É.-U. --- ÉU --- Academia Sinica. --- Acta Arithmetica. --- Aftermath of World War II. --- American Association of Physics Teachers. --- American Council on Education. --- American Institute of Physics. --- American Journal of Mathematics. --- American Mathematical Monthly. --- American Mathematical Society. --- American Statistical Association. --- Analytic continuation. --- Annals of Mathematical Statistics. --- Annals of Mathematics. --- Annals of Science. --- Applied mathematics. --- Bulletin of the American Mathematical Society. --- Chancellor (education). --- Characterization (mathematics). --- Complex number. --- Connecticut College. --- Division algebra. --- Duke Mathematical Journal. --- Edward R. Murrow. --- Estimation theory. --- Euclidean space. --- European Mathematical Society. --- Fourier series. --- Fundamenta Mathematicae. --- Georg Cantor. --- Hilbert's fifth problem. --- Hyperbolic partial differential equation. --- Ideal (ring theory). --- International Congress of Mathematicians. --- Intersection theory. --- Introduction to general relativity. --- John von Neumann. --- Joint Policy Board for Mathematics. --- London Mathematical Society. --- Mathematical Association of America. --- Mathematical physics. --- Mathematical table. --- Mathematician. --- Mathematics. --- Methoden der mathematischen Physik. --- Minkowski space. --- National Council of Teachers of Mathematics. --- National Defense Research Committee. --- National Science Board. --- New Century. --- New Direction (think tank). --- New Math. --- New York Public Library. --- New York University Press. --- New York University. --- Nucleic acid sequence. --- Number theory. --- Patrician (ancient Rome). --- Physicist. --- Polish Academy of Sciences. --- Prime number theorem. --- Probability and statistics. --- Projection (mathematics). --- Purdue University. --- Pure mathematics. --- Quaternion algebra. --- Richard Dedekind. --- Riemann hypothesis. --- Riemannian geometry. --- Selective Training and Service Act of 1940. --- Semisimple algebra. --- Spectral theorem. --- Statistician. --- The Herald-Sun (Durham, North Carolina). --- Theoretical physics. --- Theory. --- Undergraduate degree. --- University of Notre Dame. --- Washington University in St. Louis. --- Whitney embedding theorem. --- Word problem (mathematics education). --- World war.