Studies in the History of Mathematics and Physical Sciences
|
|
- Beatrix Shaw
- 6 years ago
- Views:
Transcription
1 Studies in the History of Mathematics and Physical Sciences 11 Editor G. J. Toomer Advisory Board R. P. Boas P. J. Davis T. Hawkins M. J. Klein A. E. Shapiro D. Whiteside
2 "r" I.'... '11 f...,.. ~ , ri~~llrc.j('.la.fa.6rk'9uc. Jdarbaic~lc (i.:'.f..."-.7 ':f..\... 'J.l. /f.i:, ''''. f../.. f. "./.. /..1, -: ~ I.. r :' -,f\.. t A [.,." L. /.""1' 1-0 ~ r 11 ~ I!I ~t. lfl.l;' Q! (C lll'. ~1"c. J..",I" 1 l' 1 1/~ C~lI"Il" L~ "',111..:,1" '..'11 l.,/,,,1'.. J').. ~tu I.. 'UI'.. I.,... ~" T\-r<1I I'-IU It:.'II'' '.''.''I Ef J', Bibliotheque Nationale, Paris, MS fran<;ais 150, folio 16: Les Premieres Euvres de Jacques de Vaulx, pillote en La marine, au Havre (1583). In this navigational manual, we are shown a Jacob Staff, an astronomical instrument invented by Levi ben Gerson, and a method for graduating it. (Phot. Bib!. Nat., Paris.)
3 Bernard R. Goldstein The Astronomy of Levi ben Gerson ( ) A Critical Edition of Chapters 1-20 with Translation and Commentary With 68 Figures Springer-Verlag New York Berlin Heidelberg Tokyo
4 Bernard R. Goldstein Jewish Studies Program University of Pittsburgh 2604 Cathedral of Learning Pittsburgh, PA U.S.A. AMS Classification: 01A30, 01A35, Library of Congress Cataloging in Publication Data Goldstein, Bernard R. The astronomy of Levi ben Gerson. (Studies in the history of mathematics and physical sciences; 11) Bibliography: p. Includes index. 1. Astronomy-Early works to Astronomy, Jewish. 3. Levi ben Gershom, I. Title. II. Series. QB4l.G /.92/ by Springer-Verlag New York Inc. Softcover reprint of the hardcover 1st edition 1985 All rights reserved. No part of this book may be translated or reproduced in any form without written permission from Springer-Verlag, 175 Fifth Avenue, New York, New York 10010, U.S.A. Typeset by Asco Trade Typesetting Ltd., Hong Kong ISBN-13: DOl: / e-isbn-13:
5 To O. Neugebauer My teacher, friend, and guide
6 Preface It would seem that S. Munk was the first modern scholar to draw attention to the significance of Levi ben Gerson's Astronomy, surely the most original work on astronomy written in Hebrew in the Middle Ages. Munk (1859, p. 500) called for a specialist to undertake a serious study of this work, but there was little response to his plea in the succeeding century. Indeed, this is the first edition of the Hebrew text of any part of Levi's Astronomy but for the table of contents (Renan, 1893, pp ), and the poems celebrating the invention of the Jacob Staff that appear in chapter 9 (Carlebach, 191Oa, pp ). The text of Levi's Astronomy is written in a ponderous Hebrew style but the content sparkles with originality. The Ptolemaic tradition is subjected to a profound critique based on the idea that the planetary models must conform both to Levi's own observations as well as those of the ancients, and the claim that astronomical theory must be philosophically sound. The enduring vigor of the Ptolemaic tradition has been characterized by O. Neugebauer as follows: "There is no better way to convince oneself of the inner coherence of ancient and medieval astronomy than to place side by side the Almagest, al BaWini's Opus astronomicum and Copernicus's De Revolutionibus. Chapter by chapter, theorem by theorem, table by table, these works run parallel" (1957, pp ). It is surprising, therefore, to find that Levi departs from this well-trodden path, and opens his magnum opus with a discussion of instruments he himself invented, of models not previously considered, and of observations to test the theories presented. In addition to the Jacob Staff and the camera obscura, Levi describes a new instrument for finding the Moon's elongation from the Sun (chapter 10) and a modification of the astrolabe for purposes of observation (chapter 12). Levi tells us that his Astronomy was completed in 1328, but it has long been noted that observations made as late as 1340 are included in it. The text is quite long (over 250 folios) and so it seemed appropriate to publish a part of it, with others to come. Indeed, my own study of it began in 1968 and the
7 viii The Astronomy of Levi ben Gerson fruits of this research have appeared in a series of publications beginning in Among aspects of Levi's work that do not appear in the first 20 chapters are his analysis of precession (Goldstein, 1975), his solar and lunar tables (Goldstein, 1974a), his observations and analyses of solar and lunar eclipses (Goldstein, 1979), his lunar models (Goldstein, 1974a, pp ; 1974b), his views on cosmic distances (Goldstein, 1969a), and his criticisms of al-bitnlji (Goldstein, 1971, vol. 1, pp ). His planetary theories that are introduced beginning in chapter 21, and the observations on which they are based, remain to be analyzed, a difficult task because of lacunae that afflict all the manuscripts (both in the original Hebrew and in the medieval Latin translation). In the Introduction an attempt is made to place Levi in the astronomical tradition. Since he mentions few of his predecessors and none of his contemporaries, considerable uncertainty remains. It is equally difficult to assess his influence on subsequent generations of astronomers, for references to Levi are rare both in Hebrew and Latin, and one is often forced to rely on indirect evidence. Parts of this edition have been adapted from previous publications and appear here in revised form (Goldstein, 1974a, 1977, 1980). In order to facilitate references to the text, sentence numbers have been added, and they are used in the translation and the commentary as well as in the critical apparatus. The Latin translation has not been consulted systematically; it seems to be a quite literal rendering of the Hebrew. It is a pleasure to thank the institutions that have supported this research in various ways over the years: Yale University, The Hebrew University, Brown University, University of Pittsburgh, The Institute for Advanced Study (Princeton), Centre national de la recherche scientifique, Observatoire de Paris, The Museum for History of Science (Oxford), Istituto e Museo di Storia della Scienza (Florence), The American Philosophical Society, The American Council of Learned Societies, The John Simon Guggenheim Memorial Foundation, The National Science Foundation, and The National Endowment for the Humanities. The cooperation of librarians in many countries was kindly forthcoming, and I am especially grateful to M. Garel (Bibliotheque Nationale, Paris), M. Schmelzer (The Jewish Theological Seminary of America, New York), and B. Richler (National Library, Jerusalem). Numerous colleagues have assisted in this research and their suggestions have always been welcome. In particular, I wish to thank G. Beaujouan, B. Blumenkranz, J. Lay, G. Nahon, E. Poulle, R. Rashed, and J.-P. Verdet (Paris); F. Maddison and J. Roche (Oxford); R. Scheindlin and N. Siraisi (New York); P. Galluzzi (Florence); and A. Aaboe (New Haven). A special debt of thanks is due to G. J. Toomer, the editor of this series, for his careful
8 Preface IX reading of the completed draft of this book, and his many detailed and illuminating comments. Photographs appear courtesy of the Bibliotheque Nationale, the Adler Planetarium (Chicago), and the Istituto e Museo di Storia della Scienza (Florence). The Hebrew text was typed by Mrs. Karen Rosenzweig whose assistance is gratefully acknowledged. Paris December 1984 Bernard R. Goldstein
9 Manuscript Sigla N. Naples, Biblioteca Nazionale, heb. III F.9 (undated), with marginal notes by Mordecai Finzi (not in his hand). P. Paris, Bibliotheque Nationale, heb. 724 (dated 1397). Q. Paris, Bibliotheque Nationale, heb. 725 (dated 1510). For more information on the Hebrew and Latin manuscripts of Levi ben Gerson's Astronomy, see Goldstein, 1974a, pp ; and Goldstein, 1981, p.250. Notation Paragraphs, sentences, and sentence numbers in the text have been added by the editor. Sentence numbers and folio numbers for all three manuscripts may be found in the margin of the edited text: a vertical stroke in the text indicates the place where a new folio begins. The supplementary pagination for the Hebrew text appears inside square brackets. In the translation sentence numbers appear in square brackets, and in the commentary they are preceded by the symbol. Moreover, words added by the editor to facilitate reading the translation have been put inside square brackets.
10 Contents Preface Manuscript Sigla and Notation Introduction Translation Commentary References Index Hebrew Text VB X
Studies in the History of Mathematics and Physical Sciences
Studies in the History of Mathematics and Physical Sciences 13 Editor G. J. Toomer Advisory Board R. P. Boas P. J. Davis T. Hawkins M. J. Klein A. E. Shapiro D. Whiteside Sources in the History of Mathematics
More informationErgebnisse der Mathematik und ihrer Grenzgebiete
Ergebnisse der Mathematik und ihrer Grenzgebiete 3. Foige. Band 16 A Series of Modern Surveys in Mathematics Editorial Board E. Bombieri, Princeton S. Feferman, Stanford N. H. Kuiper, Bures-sur-Yvette
More informationProbability and Statistics. Volume II
Probability and Statistics Volume II Didier Dacunha-Castelle Marie Duflo Probability and Statistics Volume II Translated by David McHale Springer-Verlag New York Berlin Heidelberg Tokyo Didier Dacunha-Castelle
More informationGraduate Texts in Mathematics
Graduate Texts in Mathematics 38 Editorial Board F. W. Gehring P. R. Halmos Managing Editor c. C. Moore H. Grauert K. Fritzsche Several Complex Variables Springer-Verlag New York Heidelberg Berlin H. Grauert
More informationMaximum Principles in Differential Equations
Maximum Principles in Differential Equations Springer New York Berlin Heidelberg Barcelona Hong Kong London Milan Paris Singapore Tokyo Murray H. Protter Hans F. Weinberger Maximum Principles in Differential
More informationResearch Techniques for High Pressure and High Temperature
Research Techniques for High Pressure and High Temperature Research Techniques for High Pressure and High Temperature Edited by Gene C. Ulmer Springer-Verlag New York Heidelberg Berlin 1971 All rights
More informationStudies in the History of Mathematics and Physical Sciences
Studies in the History of Mathematics and Physical Sciences 12 Editor G. J. Toomer Advisory Board R. P. Boas P. J. Davis T. Hawkins M. J. Klein A. E. Shapiro D. Whiteside Sources in the History of Mathematics
More informationIBN AL HAYTHAM S ON THE CONFIGURATION OF THE WORLD
ROUTLEDGE LIBRARY EDITIONS: LANGUAGE AND LITERATURE OF THE MIDDLE EAST Volume 7 IBN AL HAYTHAM S ON THE CONFIGURATION OF THE WORLD Taylor & Francis Taylor Si Francis Group http://taylorandfrands.com IBN
More informationSpringer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo
Springer Berlin Heidelberg New York Barcelona Budapest Hong Kong London Milan Paris Santa Clara Singapore Tokyo J. M. RUeger Electronic Distance Measurement An Introduction Fourth Edition With 56 Figures
More informationBourbaki Elements of the History of Mathematics
Bourbaki Elements of the History of Mathematics Springer Berlin Heidelberg New York Barcelona Hong Kong London Milan Paris Singapore Tokyo Nicolas Bourbaki Elements of the History of Mathematics Translated
More informationClassics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker
Classics in Mathematics Andre Weil Elliptic Functions according to Eisenstein and Kronecker Andre Weil was horn on May 6, 1906 in Paris. After studying mathematics at the Ecole Normale Superieure and receiving
More informationTorge Geodesy. Unauthenticated Download Date 1/9/18 5:16 AM
Torge Geodesy Wolfgang Torge Geodesy Second Edition W DE G Walter de Gruyter Berlin New York 1991 Author Wolfgang Torge, Univ. Prof. Dr.-Ing. Institut für Erdmessung Universität Hannover Nienburger Strasse
More informationTopics in Environmental Physiology and Medicine. edited by Karl E. Schaefer
Topics in Environmental Physiology and Medicine edited by Karl E. Schaefer Man and Animals in Hot Environments D. L. Ingram and L. E. Mount Springer-Verlag Berlin Heidelberg New York 1975 D. L. Ingram
More informationThe GEOLOGICAL EVOLUTION of the RIVER NILE
The GEOLOGICAL EVOLUTION of the RIVER NILE The GEOLOGICAL EVOLUTION of the RIVER NILE RUSHDI SAID Senior Research Scientist Institute of Earth and Man Southern Methodist University Dallas, Texas Senior
More informationLecture Notes in Artificial Intelligence
Lecture Notes in Artificial Intelligence Subseries of Lecture Notes in Computer Science Edited by J.G. Carbonell and J. Siekmann 1047 Lecture Notes in Computer Science Edited by G. Goos, J. Hartmanis and
More informationGraduate Texts in Mathematics 42. Editorial Board. F. W. Gehring P. R. Halmos Managing Editor. c. C. Moore
Graduate Texts in Mathematics 42 Editorial Board F. W. Gehring P. R. Halmos Managing Editor c. C. Moore Jean-Pierre Serre Linear Representations of Finite Groups Translated from the French by Leonard L.
More informationCore Books in Advanced Mathematics. Vectors
Core Books in Advanced Mathematics Vectors Core Books in Advanced Mathematics General Editor: C. PLUMPTON, Moderator in Mathematics, University of London School Examinations Department; formerly Reader
More informationINTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION
INTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION INTRODUCTION TO THE SCIENTIFIC STUDY OF ATMOSPHERIC POLLUTION Edited by B. M. McCORMAC Lockheed Palo Alto Research Laboratory, Palo Alto, Calif.,
More informationUndergraduate Texts in Mathematics
Undergraduate Texts in Mathematics Editors J. H. Ewing F. W. Gehring P. R. Halmos Advisory Board C. DePrima I. Herstein Undergraduate Texts in Mathematics Apostol: Introduction to Analytic Number Theory.
More informationQUANTUM MECHANICS. For Electrical Engineers. Quantum Mechanics Downloaded from
Quantum Mechanics Downloaded from www.worldscientific.com QUANTUM MECHANICS For Electrical Engineers Quantum Mechanics Downloaded from www.worldscientific.com This page intentionally left blank Quantum
More informationPractical Astronomy. Springer-Verlag London Ltd.
Practical Astronomy Springer-Verlag London Ltd. Other titles in this series The Modern Amateur Astronomer Patrick Moore (Ed.) Telescopes and Techniques: An Introduction to Practical Astronomy C. R. Kitchin
More informationNatural Laminar Flow and Laminar Flow Control
Natural Laminar Flow and Laminar Flow Control lcase/nasa LaRC Series Stability of Time Dependent and Spatially Varying Flows D.L. Dwoyer and M.Y. Hussaini (eds.) Studies of Vortex Dominated Flows M.Y.
More informationThe Astronomical Tables of Moses Farissol Botarel 1
The Astronomical Tables of Moses Farissol Botarel 1 Bernard R. Goldstein José Chabás Abstract: Moses Farissol Botarel (Avignon, late fifteenth century) was an astronomer who wrote in Hebrew and continued
More informationKarl-Rudolf Koch Introduction to Bayesian Statistics Second Edition
Karl-Rudolf Koch Introduction to Bayesian Statistics Second Edition Karl-Rudolf Koch Introduction to Bayesian Statistics Second, updated and enlarged Edition With 17 Figures Professor Dr.-Ing., Dr.-Ing.
More informationPHYSICAL PROCESSES IN SOLAR FLARES
PHYSICAL PROCESSES IN SOLAR FLARES ASTROPHYSICS AND SPACE SCIENCE LIBRARY A SERIES OF BOOKS ON THE RECENT DEVELOPMENTS OF SPACE SCIENCE AND OF GENERAL GEOPHYSICS AND ASTROPHYSICS PUBLISHED IN CONNECTION
More informationAn Introduction to Celestial Mechanics
An Introduction to Celestial Mechanics This accessible text on classical celestial mechanics the principles governing the motions of bodies in the solar system provides a clear and concise treatment of
More informationGraduate Texts in Mathematics 22
Graduate Texts in Mathematics 22 Managing Editors: P. R. Halmos C. C. Moore Donald W. Barnes lohn M. Mack An Aigebraic Introduction to Mathematical Logic Springer Science+Business Media, LLC Donald W.
More informationFIRST LUNAR INTERNATIONAL LABORATORY (LIL) SYMPOSIUM. RESEARCH IN GEOSCIENCES AND ASTRONOMY
PROCEEDINGS OF THE FIRST LUNAR INTERNATIONAL LABORATORY (LIL) SYMPOSIUM. RESEARCH IN GEOSCIENCES AND ASTRONOMY ORGANIZED BY THE INTERNATIONAL ACADEMY OF ASTRONAUTICS AT THE XVITH INTERNATIONAL ASTRONAUTICAL
More informationMultiplicative Complexity, Convolution, and the DFT
Michael T. Heideman Multiplicative Complexity, Convolution, and the DFT C.S. Bunus, Consulting Editor Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Michael T. Heideman Etak, Incorporated
More informationUndergraduate Texts in Mathematics. Editors J. H. Ewing F. W. Gehring P. R. Halmos
Undergraduate Texts in Mathematics Editors J. H. Ewing F. W. Gehring P. R. Halmos Springer Books on Elemeritary Mathematics by Serge Lang MATH! Encounters with High School Students 1985, ISBN 96129-1 The
More informationThe Construction of the Heavens
The Construction of the Heavens The astronomical observations of William Herschel (1738 1822) made him question the accepted model of the clockwork universe. This volume explains the development of Herschel
More informationAN INTRODUCTION TO HYDRODYNAMICS AND WATER WAVES
AN INTRODUCTION TO HYDRODYNAMICS AND WATER WAVES HYDRODYNAMICA SIVE DE VIRIBUS ET MOTIBUS FLUIDORUM COMMENTARII 'Remember, when discoursing about water, to induce first experience, then reason.' - Leonardo
More informationBinary Quadratic Forms
Binary Quadratic Forms Duncan A. Buell Binary Quadratic Forms Classical Theory and Modern Computations Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Hong Kong Duncan A. Buell Supercomputing
More informationDIPOLE MOMENTS IN ORGANIC CHEMISTRY
DIPOLE MOMENTS IN ORGANIC CHEMISTRY PHYSICAL METHODS IN ORGANIC CHEMISTRY B. I. lonin and B. A. Ershov NMR Spectroscopy in Organic Chemistry, 1970 V. I. Minkin, O. A. Osipov, and Yu. A. Zhdanov Dipole
More informationENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILI1Y
ENERGY FUNCTION ANALYSIS FOR POWER SYSTEM STABILI1Y THE KLUWER INTERNATIONAL SERIES IN ENGINEERING AND COMPUTER SCIENCE POWER ELECTRONICS AND POWER SYSTEMS Consulting Editor Thomas A. Lipo University of
More informationErgebnisse cler Mathematik uncl ihrer Grenzgebiete
Ergebnisse cler Mathematik uncl ihrer Grenzgebiete Band 25 Herausgegeben von P. R. Halmos. P. J. Hilton. R. Remmert. B. Szokefalvi-Nagy Unter Mitwirkung von L. V. Ahlfors. R. Baer. F. L. Bauer' R. Courant
More informationA Macmillan Physics Text
WAVES A Macmillan Physics Text Consulting Editor: Professor P. A. Matthews, F.R.S. Other titles MODERN ATOMIC PHYSICS: FUNDAMENTAL PRINCIPLES: B. Cagnacand J. -C. Pebay-Peyroula MODERN ATOMIC PHYSICS:
More informationConversion Tables of Units in Science & Engineering
Conversion Tables of Units in Science & Engineering Conversion Tables of Units in Science & Engineering Ari L. Horvath Imperial Chemical Industries PLC, Mond Division, Runcorn, Cheshire, UK M MACMILLAN
More informationDifferential Equations and Their Applications
Martin Braun Differential Equations and Their Applications Short Version New York S pringer-verlag Heidelberg Berlin Martin Braun Department of Mathematics Queens Conege City University of New York Flushing,
More informationAnalysis of Shells and Plates
Analysis of Shells and Plates Phillip L. Gould Analysis of Shells and Plates With 164 Illustrations in 237 Parts Springer-Verlag New York Berlin Heidelberg London Paris Tokyo Phillip L. Gould Department
More informationQUANTUM MECHANICS OF ONE- AND TWO-ELECTRON ATOMS
QUANTUM MECHANICS OF ONE- AND TWO-ELECTRON ATOMS QUANTUM MECHANICS OF ONE- AND TWO-ELECTRON ATOMS HANS A. BETHE AND EDWIN E. SALPETER Cornell University Ithaca, New York A PLENUM/ROSETTA EDITION Library
More informationProgress in Mathematical Physics
Progress in Mathematical Physics Volume 24 Editors-in-Chiej Anne Boutet de Monvel, Universite Paris VII Denis Diderot Gerald Kaiser, The Virginia Center for Signals and Waves Editorial Board D. Bao, University
More informationINTRODUCTION TO SOL-GEL PROCESSING
INTRODUCTION TO SOL-GEL PROCESSING THE KLUWER INTERNATIONAL SERIES in SOL-GEL PROCESSING: TECHNOLOGY AND APPLICATIONS Consulting Editor Lisa Klein Rutgers, the State University of New Jersey INTRODUCTION
More informationLandolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W.
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group VIII: Advanced Materials and Technologies Volume 6 Polymers Subvolume
More informationGraduate Texts in Mathematics 51
Graduate Texts in Mathematics 51 Editorial Board F. W. Gehring P. R. Halmos M anaging Editor c. C. Moore Wilhelm Klingenberg ACoursein Differential Geometry Translated by David Hoffman Springer Science+Business
More informationMinoru Ozima. Geohistory. Global Evolution of the Earth. English by Judy Wakabayashi. Springer-Verlag Berlin Heidelberg New York London Paris Tokyo
Minoru Ozima Geohistory Global Evolution of the Earth English by Judy Wakabayashi Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Professor Dr. MINORU OZIMA Geophysical Institute University
More informationSpringer Texts in Electrical Engineering. Consulting Editor: John B. Thomas
Springer Texts in Electrical Engineering Consulting Editor: John B. Thomas Springer Texts in Electrical Engineering Multivariable Feedback Systems P.M. Callier/C.A. Desoer Linear Programming M. Sakarovitch
More informationTopics in Boundary Element
Topics in Boundary Element Research Edited by C. A. Brebbia Volume 7 Electrical Engineering Applications With 186 Figures and 11 Tables Springer-Verlag Berlin Heidelberg New York London Paris Tokyo Hong
More informationChemistry by Computer. An Overview of the Applications of Computers in Chemistry
Chemistry by Computer An Overview of the Applications of Computers in Chemistry Chemistry by Computer An Overview of the Applications of Computers in Chemistry Stephen Wilson Theoretical Chemistry Department
More informationIntroduction to Numerical Analysis
J. Stoer R. Bulirsch Introduction to Numerical Analysis Translated by R. Bartels, W. Gautschi, and C. Witzgall Springer Science+Business Media, LLC J. Stoer R. Bulirsch Institut fiir Angewandte Mathematik
More informationPROGRESS IN INORGANIC CHEMISTRY. Volume 11
PROGRESS IN INORGANIC CHEMISTRY Volume 11 Advisory Board THEODORE L. BROWX UNIVERSITY OF ILLINOIS, URBANA, ILLINOIS JAhlES P. COLLMAK STANFORD UNIVERSITY, STANFORD, CALIFORNIA F. ALBERT COTTON M.I.T.,
More informationENGINEERING PROPERTIES OF NICKEL AND NICKEL ALLOYS
ENGINEERING PROPERTIES OF NICKEL AND NICKEL ALLOYS ENGINEERING PROPERTIES OF NICKEL AND NICKEL AllOYS by John l. Everhart,P. E. Metallurgical Engineer Westfield, New Jersey 9? PLENUM PRESS NEW YORK - LONDON
More informationCourting Disaster. Astrology at the English Court and University in the Later Middle Ages. Palgrave Macmillan
COURTING DISASTER Courting Disaster Astrology at the English Court and University in the Later Middle Ages Hilary M. Carey Lecturer in History University of Newcastle. Australia Palgrave Macmillan ISBN
More informationUV-VIS Spectroscopy and Its Applications
SPRINGER LABORATORY Heinz-Helmut Perkampus UV-VIS Spectroscopy and Its Applications Translated by H. Charlotte Grinter and Dr. T. L. Threlfall With 78 Figures and 21 Tables Springer -Ver lag Berlin Heidelberg
More informationPractical Statistics for Geographers and Earth Scientists
Practical Statistics for Geographers and Earth Scientists Nigel Walford A John Wiley & Sons, Ltd., Publication Practical Statistics for Geographers and Earth Scientists Practical Statistics for Geographers
More informationClassics in Mathematics Lars Hormander. The Analysis of Linear Partial Differential Operators I
Classics in Mathematics Lars Hormander The Analysis of Linear Partial Differential Operators I Born on January 24,1931, on the southern coast of Sweden, Lars Hormander did his secondary schooling as well..
More informationPlate 1. Portrait of Simon Stevin by an unknown artist. Library of Leyden University.
The renovation of the arts and sciences by the Renaissance has been especially glorious in Italy and the Netherlands. Among the outstanding scholars of that period Simon Stevin, born at Bruges and living
More informationChanging times was one of those years. Scientists consider it to be vitally important in the history of astronomy.
Changing times Astronomy is a dynamic and ever-changing science, where new discoveries are regularly made. But some periods prove to eclipse others in terms of revolutionary discoveries. 1609 was one of
More informationSpringer Series in Statistics. Advisors: D. Brillinger, S. Fienberg, J. Gani, J. Hartigan, J. Kiefer, K. Krickeberg
Springer Series in Statistics Advisors: D. Brillinger, S. Fienberg, J. Gani, J. Hartigan, J. Kiefer, K. Krickeberg Springer Series in Statistics Measures of Association for Cross-Classifications Leo A.
More informationTHE TRANSURANIUM ELEMENTS
THE TRANSURANIUM ELEMENTS STUDIES IN SOVIET SCIENCE 1973 Motile Muscle and Cell Models N. I. Arronet Densification of Metal Powders during Sintering V. A. Ivensen The Transuranium Elements V. I. Goldanskii
More informationLandolt-Börnstein / New Series
Landolt-Börnstein / New Series Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series Editor in Chief: W. Martienssen Units and Fundamental Constants in Physics
More informationIntroduction to the Theory and Application of the Laplace Transformation
Gustav Doetsch Introduction to the Theory and Application of the Laplace Transformation With 51 Figures and a Table of Laplace Transforms Translation by Walter Nader Springer-Verlag Berlin Heidelberg New
More informationA Workbook of. Electrochemistry
A Workbook of Electrochemistry A Workbook of Electrochemistry John O'M. Bockris Professor of Physical Chemistry The Flinders University Adelaide, Australia and Ronald A. Fredlein Lecturer in Physical Chemistry
More informationExercises in Basic Ring Theory
Exercises in Basic Ring Theory Kluwer Texts in the Mathematical Sciences VOLUME 20 A Graduate-Level Book Series The titles published in this series are listed at the end of this volume. Exercises in Basic
More informationShallow Refraction Seismics
Shallow Refraction Seismics Series Editor D. S. Parasnis Professor of Applied Geophysics, University of Lulea, Sweden Fellow of the Royal Swedish Academy of Engineering Sciences Shallow Refraction Seismics
More informationSALVO DE MEIS ECLIPSES AN ASTRONOMICAL INTRODUCTION FOR HUMANISTS. IsIAO Istituto Italiano per l Africa e l Oriente
SALVO DE MEIS ECLIPSES AN ASTRONOMICAL INTRODUCTION FOR HUMANISTS IsIAO Istituto Italiano per l Africa e l Oriente ROMA 2002 FOREWORD After the monumental work of Ginzel in 1899, the need of a guide for
More informationFINITE MIXTURE DISTRIBUTIONS
MONOGRAPHS ON APPLl~[) PROBABILITY AND STATISTICS FINITE MIXTURE DISTRIBUTIONS MONOGRAPHS ON APPLIED PROBABILITY AND STATISTICS General Editor D.R. COX, FRS Also available in the series Probability, Statistics
More informationVARIATIONS INTRODUCTION TO THE CALCULUS OF. 3rd Edition. Introduction to the Calculus of Variations Downloaded from
INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition This page intentionally left blank INTRODUCTION TO THE CALCULUS OF VARIATIONS 3rd Edition Bernard Dacorogna Ecole Polytechnique Fédérale Lausanne,
More informationLecture Notes in Physics
Heidelberg New.York Lecture Notes in Physics Edited by J. Ehlers, Mtinchen, K. Hepp, Ztirich and H. A. Weidenmiiller, Heidelberg Managing Editor: W. Beiglback, Heidelberg 13 Michael Ryan University of
More informationEditors,: P. Diehl E. Fluck H. Gunther R. Kosfeld J. Seelig
NMR Basic Principles and Progress 34 Editors,: P. Diehl E. Fluck H. Gunther R. Kosfeld J. Seelig Guest-Editors: E. Fluck, H. Gunther Advisory Board: G. Bodenhausen S. Forsen R. K. Harris C. L. Khetrapal
More informationSpringer-Verlag Berlin Heidelberg GmbH
Springer-Verlag Berlin Heidelberg GmbH Kazuhiro Arai The Economics of Education An Analysis of College-Going Behavior With 18 Figures Springer Kazuhiro Arai Professor of Economics Hitotsubashi University
More informationProbability Theory, Random Processes and Mathematical Statistics
Probability Theory, Random Processes and Mathematical Statistics Mathematics and Its Applications Managing Editor: M.HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume
More informationTheory and Methodology of World Development
Theory and Methodology of World Development The Evolutionary Processes in World Politics Series Series editor: William R. Thompson, Indiana University The Historical Evolution of World-Systems Edited by
More informationSample Pages. Free Newsletter Sign up Today! Learn Through Experience
Learn Through Experience Sample Pages Sample pages from this product are provided for evaluation purposes. The entire product is available for purchase at www.socialstudies.com or www.teachinteract.com
More informationMinerals and Rocks. Editor in Chief P.l.Wyllie, Chicago, IL Editors A.EI Goresy, Heidelberg W von Engelhardt, Tlibingen. T.
Minerals and Rocks 18 Editor in Chief P.l.Wyllie, Chicago, IL Editors A.EI Goresy, Heidelberg W von Engelhardt, Tlibingen. T. Hahn, Aachen G. Gottardi E. Galli Natural Zeolites With 218 Figures Springer-Verlag
More informationNumerical Methods for the Solution of Ill-Posed Problems
Numerical Methods for the Solution of Ill-Posed Problems Mathematics and Its Applications Managing Editor: M.HAZEWINKEL Centre for Mathematics and Computer Science, Amsterdam, The Netherlands Volume 328
More informationThe Handbook of Environmental Chemistry
The Handbook of Environmental Chemistry Volume 3 Part D Edited by 0. Hutzinger Anthropogenic Compounds With Contributions by R. F. Addison, A. B. McKague, A. Larsson, D. J. McLeay, P. E. Ney, G. A. Parker,
More informationInvertebrate Biology A FUNCTIONAL APPROACH P. CALOW CROOM HELM LONDON A HALSTED PRESS BOOK JOHN WI LEY & SONS NEW YORK - TORONTO
INVERTEBRATE BIOLOGY Invertebrate Biology A FUNCTIONAL APPROACH P. CALOW CROOM HELM LONDON A HALSTED PRESS BOOK JOHN WI LEY & SONS NEW YORK - TORONTO 1981 P. Calow Croom Helm Ltd, 2-10 St John's Road,
More informationWORKED EXAMPLES IN X-RAY ANALYSIS
WORKED EXAMPLES IN X-RAY ANALYSIS PHILIPS TECHNICAL LIBRARY WORKED EXAMPLES IN X-RAY ANALYSIS R. JENKINS J.L. DE VRIES Springer Science+Business Media, LLC Springer Science+Business Media New York 1970
More informationField Crop Diseases Handbook
Field Crop Diseases Handbook FIELD CROP DISEASES HANDBOOK Second Edition Robert F. Nyvall, Ph.D. Professor, Plant Pathology and Superintendent, University of Minnesota North Central Experiment Station
More informationA FIRST COURSE IN INTEGRAL EQUATIONS
A FIRST COURSE IN INTEGRAL EQUATIONS This page is intentionally left blank A FIRST COURSE IN INTEGRAL EQUATIONS Abdul-M ajid Wazwaz Saint Xavier University, USA lib World Scientific 1M^ Singapore New Jersey
More informationWillem Jansz Blaeu (Dutch), Celestial Globe, 1606, 5 ½ in Osher Map Library, University of Southern Maine
Farnese Atlas, 137 BCE, National Archaeological Museum of Naples Willem Jansz Blaeu (Dutch), Celestial Globe, 1606, 5 ½ in Osher Map Library, University of Southern Maine Simon Marmion 1460, Mappa Mundi,
More informationControlled Markov Processes and Viscosity Solutions
Controlled Markov Processes and Viscosity Solutions Wendell H. Fleming, H. Mete Soner Controlled Markov Processes and Viscosity Solutions Second Edition Wendell H. Fleming H.M. Soner Div. Applied Mathematics
More informationFRACTIONAL CALCULUS IN PHYSICS
APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS APPLICATIONS OF FRACTIONAL CALCULUS IN PHYSICS Editor Universitat Mainz and Universitat Stuttgart Germany Vfe World Scientific «Singapore New Jersey London
More informationPowder Surface Area and Porosity
Powder Surface Area and Porosity Powder Technology Series Edited by B. Scarlett Department of Chemical Engineering University of Technology Loughborough Powder Surface Area and Porosity S. Lowell PhD Quantachrome
More informationAmerican Geophysical Union
ANTARCTIC American Geophysical Union ANTARCTIC American Geophysical Union Volume I BIOLOGY OF TIlE ANTARCTIC SEAS Milton O. Lee, Ed. Volume 2 ANTARCTIC SNOW AND ICE STUDIES Malcolm Melior, Ed. Volume 3
More informationFinite Element Analysis for Heat Transfer. Theory and Software
Finite Element Analysis for Heat Transfer Theory and Software Hou-Cheng Huang and Asif S. Usmani Finite Element Analysis for Heat Transfer Theory and Software With 62 Figures Springer-Verlag London Berlin
More informationCHRONICLES OF THE RAJ
CHRONICLES OF THE RAJ By the same author KIPLING'S 'LAW': A STUDY OF HIS PHILOSOPHY OF LIFE CHRONICLES OF THE RAJ A Study of Literary Reaction to the Imperial Idea towards the End of the Raj SHAMSUL ISLAM
More informationNuclear Magnetic Resonance Data
Landolt-Börnstein Numerical Data and Functional Relationships in Science and Technology New Series / Editor in Chief: W. Martienssen Group III: Condensed Matter Volume 35 Nuclear Magnetic Resonance Data
More informationLiquid Chromatography Mass Spectrometry. Techniques and Applications
Liquid Chromatography Mass Spectrometry Techniques and Applications MODERN ANALYTICAL CHEMISTRY Series Editor: David Hercules University of Pittsburgh ANALYTICAL ATOMIC SPECTROSCOPY William G. Schrenk
More informationinverse problems and theoretical imaging
inverse problems and theoretical imaging 1.M. Combes A. Grossmann Ph. Tchamitchian (Eds.) Wavelets Time-Frequency Methods and Phase Space Proceedings of the International Conference, Marseille, France,
More informationMinerals, Rocks and Inorganic Materials
Minerals, Rocks and Inorganic Materials Monograph Series of Theoretical and Experimental Studies 5 Edited by W. von Engelhardt, Tiibingen. T. Hahn, Aachen R. Roy, University Park, Pa.. P. J. Wyllie, Chicago,
More informationTHEORY OF MOLECULAR EXCITONS
THEORY OF MOLECULAR EXCITONS THEORY OF MOLECULAR EXCITONS A. S. Davydov Kiev State University Kiev, USSR Translated from Russian by Stephen B. Dresner g? SPRINGER SCIENCE+BUSINESS MEDIA, LLC 1971 Aleksandr
More informationIntroduction to PARTIAL DIFFERENTIAL EQUATIONS THIRD EDITION
Introduction to PARTIAL DIFFERENTIAL EQUATIONS THIRD EDITION K. SANKARA RAO Formerly Professor Department of Mathematics Anna University, Chennai New Delhi-110001 2011 INTRODUCTION TO PARTIAL DIFFERENTIAL
More informationHandbook of vegetation science
Vegetation mapping Handbook of vegetation science FOUNDED BY R. TUXEN H. LIETH, EDITOR IN CHIEF Volume 10 Vegetation mapping Edited by A. w. KOCHLER and I. S. ZONNEVELD Kluwer Academic Publishers Dordrecht
More informationA History Of Astronomy From Thales To Kepler (Dover Books On Astronomy) By J. L. E. Dreyer;Space
A History Of Astronomy From Thales To Kepler (Dover Books On Astronomy) By J. L. E. Dreyer;Space History of Astronomy, Keyword Search Results, - You are only a click away from finding your History of Astronomy
More informationAPHASIA and BRAIN ORGANIZA TION
APHASIA and BRAIN ORGANIZA TION APPLIED PSYCHOLINGUISTICS AND COMMUNICATION DISORDERS APPLIED PSYCHOLINGUISTICS AND MENTAL HEALTH Edited by R. W. Rieber PSYCHOLOGY OF LANGVAGE AND THOUGHT Essays on the
More informationToday FIRST HOMEWORK DUE. Ancient Astronomy. Competing Cosmologies. Geocentric vs. Heliocentric. Ptolemy vs. copernicus.
Today FIRST HOMEWORK DUE Ancient Astronomy Competing Cosmologies Geocentric vs. Heliocentric Ptolemy vs. copernicus Retrograde Motion Phases of Venus Galileo 1 3.1 The Ancient Roots of Science Our goals
More informationDynamics and Randomness
Dynamics and Randomness Nonlinear Phenomena and Complex Systems VOLUME 7 The Centre for Nonlinear Physics and Complex Systems (CFNL), Santiago, Chile, and Kluwer Academic Publishers have established this
More informationDie Grundlehren der mathematischen Wissenschaften
Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Beriicksichtigung der Anwendungsgebiete Band 52 H erau.fgegeben von J. L. Doob. E. Heinz F. Hirzebruch. E. Hopf H.
More information