02906nam 2200421Ia 450 99638498590331620221108064237.0(CKB)4940000000067248(EEBO)2240850124(UnM)99900147(UnM)9929039200971(EXLCZ)99494000000006724819990120d1678 uy |engurbn||||a|bb|Culpeper's school of physick: Or The experimental practice of the whole art[electronic resource] Wherein are contained all inward diseases from the head to the foot, with their proper and effectuall cures, such diet set down as ought to be observed in sickness or in health. With other safe waies for preserving of life, in excellent aphorisms, and approved medicines, so plainly and easily treated of, that the free-born student rightly understanding this method, may judg of the practice of physick, so far as it concerns himself, or the cure of others, &c. A work never before publisht, very necessary for all that desire to be rightly informed in physick, chyrurgery, chymistry, &c. By Nich. Culpeper, late student in physick and astrology. The narrative of the authors life is prefixed, with his nativity calculated; together with the testimony of his late wife, Mrs. Alice Culpeper, and others. The general contents of this work are in the next page: with two perfect t[ab]les very useful to the readerLondon printed for R. Harford, and are to be sold at his shop at the Angel in Cornhill1678[58], 361 [i.e. 461], [19] p. ill"Culpeper's school of physick, or the English apothecary", "Fragmenta aurea", "The chirurgeon's guide", "The treasury of life", "The expert lapidary", "Doctor Diets directorie", "Doctor Reason and Doctor Experience consulted with", and "Chymical institutions" have separate title pages dated 1677; register and pagination are continuous."The nativity of Nicholas Culpeper, student in physick and astrology, calculated," is by John Gadbury.Page 461 is misnumbered 361.With an index.Copy filmed at UMI microfilm Early English Books 1641-1700 reel 2531 lacks several leaves.Reproduction of original in the Wellcome Institute for the History of Medicine, London.eebo-0186MedicineEarly works to 1800MedicineFormulae, receipts, prescriptionsEarly works to 1800MedicineMedicineFormulae, receipts, prescriptionsCulpeper Nicholas1616-1654.793347Gadbury John1627-1704.autCu-RivESCu-RivESWaOLNBOOK996384985903316Culpeper's school of physick, or, the experimental practice of the whole art2345403UNISA06111nam 22008055 450 991036495760332120250610110318.03-030-18315-710.1007/978-3-030-18315-8(CKB)4100000010011831(MiAaPQ)EBC5997324(DE-He213)978-3-030-18315-8(PPN)242818854(MiAaPQ)EBC5997210(MiAaPQ)EBC29090496(EXLCZ)99410000001001183120191216d2019 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierEquidistribution and Counting Under Equilibrium States in Negative Curvature and Trees Applications to Non-Archimedean Diophantine Approximation /by Anne Broise-Alamichel, Jouni Parkkonen, Frédéric Paulin1st ed. 2019.Cham :Springer International Publishing :Imprint: Birkhäuser,2019.1 online resource (viii, 413 pages) illustrationsProgress in Mathematics,0743-1643 ;3293-030-18314-9 Introduction -- Negatively curved geometry -- Potentials, critical exponents and Gibbs cocycles -- Patterson-Sullivan and Bowen-Margulis measures with potential on CAT(-1) spaces -- Symbolic dynamics of geodesic flows on trees -- Random walks on weighted graphs of groups -- Skinning measures with potential on CAT(-1) spaces -- Explicit measure computations for simplicial trees and graphs of groups -- Rate of mixing for the geodesic flow -- Equidistribution of equidistant level sets to Gibbs measures -- Equidistribution of common perpendicular arcs -- Equidistribution and counting of common perpendiculars in quotient spaces -- Geometric applications -- Fields with discrete valuations -- Bruhat-Tits trees and modular groups -- Rational point equidistribution and counting in completed function fields -- Equidistribution and counting of quadratic irrational points in non-Archimedean local fields -- Counting and equidistribution of crossratios -- Counting and equidistribution of integral representations by quadratic norm forms -- A - A weak Gibbs measure is the unique equilibrium, by J. Buzzi -- List of Symbols -- Index -- Bibliography.This book provides a complete exposition of equidistribution and counting problems weighted by a potential function of common perpendicular geodesics in negatively curved manifolds and simplicial trees. Avoiding any compactness assumptions, the authors extend the theory of Patterson-Sullivan, Bowen-Margulis and Oh-Shah (skinning) measures to CAT(-1) spaces with potentials. The work presents a proof for the equidistribution of equidistant hypersurfaces to Gibbs measures, and the equidistribution of common perpendicular arcs between, for instance, closed geodesics. Using tools from ergodic theory (including coding by topological Markov shifts, and an appendix by Buzzi that relates weak Gibbs measures and equilibrium states for them), the authors further prove the variational principle and rate of mixing for the geodesic flow on metric and simplicial trees—again without the need for any compactness or torsionfree assumptions. In a series of applications, using the Bruhat-Tits trees over non-Archimedean local fields, the authors subsequently prove further important results: the Mertens formula and the equidistribution of Farey fractions in function fields, the equidistribution of quadratic irrationals over function fields in their completions, and asymptotic counting results of the representations by quadratic norm forms. One of the book's main benefits is that the authors provide explicit error terms throughout. Given its scope, it will be of interest to graduate students and researchers in a wide range of fields, for instance ergodic theory, dynamical systems, geometric group theory, discrete subgroups of locally compact groups, and the arithmetic of function fields.Progress in Mathematics,0743-1643 ;329DynamicsErgodic theoryGeometry, DifferentialGroup theoryNumber theoryConvex geometryDiscrete geometryProbabilitiesDynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Dynamics.Ergodic theory.Geometry, Differential.Group theory.Number theory.Convex geometry.Discrete geometry.Probabilities.Dynamical Systems and Ergodic Theory.Differential Geometry.Group Theory and Generalizations.Number Theory.Convex and Discrete Geometry.Probability Theory and Stochastic Processes.516.362Broise-Alamichel Anneauthttp://id.loc.gov/vocabulary/relators/aut781323Parkkonen Jouniauthttp://id.loc.gov/vocabulary/relators/autPaulin Frédéricauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910364957603321Equidistribution and Counting Under Equilibrium States in Negative Curvature and Trees2514141UNINA