00730nam0-22002771i-450-99000736669040332120021108000736669FED01000736669(Aleph)000736669FED0100073666920021108d1957----km-y0itay50------baitaITy-------001yyDiritto ecclesiasticoCostantino JannacconeMilanoCetim1957291 p.24 cmJannaccone,Costantino<1883-1962>266131ITUNINARICAUNIMARCBK990007366690403321II B 4152779FGBCFGBCDiritto ecclesiastico693622UNINA10937nam 2200589 450 991048872240332120230510093405.03-030-75785-4(CKB)5590000000516497(MiAaPQ)EBC6675929(Au-PeEL)EBL6675929(OCoLC)1260346952(PPN)269152792(EXLCZ)99559000000051649720220327d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierFelix Klein visions for mathematics, applications, and education /Renate Tobies ; revised by the author and translated by Valentine A. PakisCham, Switzerland :Springer,[2021]©20211 online resource (697 pages)Vita Mathematica ;Volume 203-030-75784-6 Intro -- PREFACE -- CONTENTS -- 1 INTRODUCTION -- 1.1 THE STATE OF RESEARCH -- 1.2 GUIDING QUESTIONS -- 1.3 EDITORIAL REMARKS -- Acknowledgements -- 2 FORMATIVE GROUPS -- 2.1 THE KLEIN-KAYSER FAMILY -- 2.1.1 A Royalist and Frugal Westphalian Upbringing -- 2.1.2 Talent in School and Wide Interests as Gifts from His Mother's Side -- 2.1.3 Felix Klein and His Siblings -- 2.2 SCHOOL YEARS IN DÜSSELDORF -- 2.2.1 Earning His Abitur from a Gymnasium at the Age of Sixteen -- 2.2.2 Examination Questions in Mathematics -- 2.2.3 Interests in Natural Science During His School Years -- 2.3 STUDIES AND DOCTORATE IN BONN -- 2.3.1 Coursework and Seminar Awards -- 2.3.2 Assistantship and a Reward for Winning a Physics Contest -- 2.3.3 Assisting Julius Plücker's Research in Geometry -- 2.3.4 Doctoral Procedure -- 2.4 JOINING ALFRED CLEBSCH'S THOUGHT COMMUNITY -- 2.4.1 The Clebsch School -- 2.4.2 The Journal Mathematische Annalen -- 2.4.3 Articles on Line Geometry, 1869 -- 2.5 BROADENING HIS HORIZONS IN BERLIN -- 2.5.1 The Professors in Berlin and Felix Klein -- 2.5.2 Acquaintances from the Mathematical Union: Kiepert, Lie, Stolz -- 2.5.3 Cayley's Metric and Klein's Non-Euclidean Interpretation -- 2.6 IN PARIS WITH SOPHUS LIE -- 2.6.1 Felix Klein and French Mathematicians -- 2.6.2 Collaborative Work with Sophus Lie -- 2.6.2.1 Notes on W-Configurations -- 2.6.2.2 Principal Tangent Curves of the Kummer Surface -- 2.6.3 A Report on Mathematics in Paris -- 2.7 THE FRANCO-PRUSSIAN WAR AND KLEIN'S HABILITATION -- 2.7.1 Wartime Service as a Paramedic and Its Effects -- 2.7.2 Habilitation -- 2.8 TIME AS A PRIVATDOZENT IN GÖTTINGEN -- 2.8.1 Klein's Teaching Activity and Its Context -- 2.8.2 An Overview of Klein's Research Results as a Privatdozent -- 2.8.3 Discussion Groups -- 2.8.3.1 A Three-Man Club with Clebsch and Riecke.2.8.3.2 The Mathematical and Natural-Scientific Student Union -- 2.8.3.3 A Scientific Circle: Eskimo -- 2.8.3.4 The "Social Activity" of Bringing Mathematicians Together -- 3 A PROFESSORSHIP AT THE UNIVERSITY OF ERLANGEN -- 3.1 RESEARCH TRENDS AND DOCTORAL STUDENTS -- 3.1.1 The Vision of the Erlangen Program -- 3.1.2 Klein's Students in Erlangen -- 3.1.3 New Research Trends -- 3.1.3.1 On a New Type of Riemann Surface -- 3.1.3.2 The Theory of Equations -- 3.2 INAUGURAL LECTURE: A PLAN FOR MATHEMATICAL EDUCATION -- 3.3 FIRST TRIP TO GREAT BRITAIN, 1873 -- 3.4 TRIPS TO ITALY -- 3.5 DEVELOPING THE MATHEMATICAL INSTITUTION -- 3.6 FAMILY MATTERS -- 3.6.1 His Friends Marry and Klein Follows Suit -- 3.6.2 Klein's Father-in-Law, the Historian Karl Hegel -- 3.6.3 Anna Hegel, Felix Klein, and Their Family -- 4 A PROFESSORSHIP AT THE POLYTECHNIKUM IN MUNICH -- 4.1 A NEW INSTITUTE AND NEW TEACHING ACTIVITY -- 4.1.1 Creating a Mathematical Institute -- 4.1.2 Reorganizing the Curriculum -- 4.2 DEVELOPING HIS MATHEMATICAL INDIVIDUALITY -- 4.2.1 The Icosahedron Equation -- 4.2.2 Number Theory -- 4.2.3 Elliptic Modular Functions -- 4.2.4 Klein's Circle of Students in Munich -- 4.2.4.1 Phase I: 1875-1876 -- 4.2.4.2 Phase II: 1876-1880 -- 4.3 DISCUSSION GROUPS IN MUNICH -- 4.3.1 A Mathematical Discussion Group with Engineers and Natural Scientists -- 4.3.2 The Mathematical Student Union and the Mathematical Society -- 4.3.3 The Meeting of Natural Scientists in Munich, 1877 -- 4.4 "READY AGAIN FOR A UNIVERSITY IN A SMALL CITY" -- 5 A PROFESSORSHIP FOR GEOMETRY IN LEIPZIG -- 5.1 KLEIN'S START IN LEIPZIG AND HIS INAUGURAL ADDRESS -- 5.2 CREATING A NEW MATHEMATICAL INSTITUTION -- 5.3 TEACHING PROGRAM -- 5.3.1 Lectures: Organization, Reorientation, and Deviation from the Plan -- 5.3.2 The Mathematical Colloquium / Exercises / Seminar -- 5.4 THE KLEINIAN "FLOCK".5.4.1 Post-Doctoral Mathematicians -- 5.4.2 Klein's Foreign Students in Leipzig -- 5.4.2.1 The First Frenchman and the First Briton -- 5.4.2.2 The First Americans -- 5.4.2.3 The Italians -- 5.4.2.4 Mathematicians from Switzerland and Austria-Hungary -- 5.4.2.5 Russian and Other Eastern European Contacts -- 5.5 FIELDS OF RESEARCH -- 5.5.1 Mathematical Physics / Physical Mathematics -- 5.5.1.1 Lamé's Function, Potential Theory, and Carl Neumann -- 5.5.1.2 On Riemann's Theory of Algebraic Functions and Their Integrals -- 5.5.2 Looking Toward Berlin -- 5.5.2.1 Gathering Sources -- 5.5.2.2 The Dirichlet Principle -- 5.5.2.3 Klein's Seminar on the Theory of Abelian Functions (1882) -- 5.5.2.4 Openness vs. Partiality -- 5.5.3 Looking Toward France -- 5.5.3.1 French Contributors to Mathematische Annalen -- 5.5.3.2 Klein's Correspondence with Poincaré -- 5.5.4 Three Fundamental Theorems -- 5.5.4.1 The Loop-Cut Theorem (Rückkehrschnitttheorem) -- 5.5.4.2 Theorem of the Limit-Circle (Grenzkreistheorem) -- 5.5.4.3 The (General) Fundamental Theorem -- 5.5.4.4 Remarks on the Proofs -- 5.5.5 The Polemic about and with Lazarus Fuchs -- 5.5.6 The Icosahedron Book -- 5.5.7 A Book on the Theory of Elliptic Modular Functions -- 5.5.7.1 Supplementing the Theory -- 5.5.7.2 Who Should Be the Editor? - Georg Pick -- 5.5.8 Hyperelliptic and Abelian Functions -- 5.6 FELIX KLEIN AND ALFRED ACKERMANN-TEUBNER -- 5.7 FELIX KLEIN IN LEIPZIG'S INTELLECTUAL COMMUNITIES -- 5.7.1 A Mathematicians' Circle -- 5.7.2 The Societas Jablonoviana -- 5.7.3 The Royal Saxon Society of Sciences in Leipzig -- 5.8 TURNING HIS BACK ON LEIPZIG -- 5.8.1 Weighing Offers from Oxford and Johns Hopkins -- 5.8.2 The Physicist Eduard Riecke Arranges Klein's Move to Göttingen -- 5.8.3 The Appointment of Sophus Lie as Klein's Successor - and the Reactions.6 THE START OF KLEIN'S PROFESSORSHIP IN GÖTTINGEN, 1886-1892 -- 6.1 FAMILY CONSIDERATIONS -- 6.2 DEALING WITH COLLEAGUES, TEACHING, AND CURRICULUM PLANNING -- 6.2.1 The Relationship Between Klein and Schwarz -- 6.2.2 The Göttingen Privatdozenten Hölder and Schoenflies -- 6.2.3 Klein's Teaching in Context -- 6.3 INDEPENDENT AND COLLABORATIVE RESEARCH -- 6.3.1 The Theory of Finite Groups of Linear Substitutions: The Theory of Solving Equations of Higher Degree -- 6.3.2 Hyperelliptic and Abelian Functions -- 6.3.3 The Theory of Elliptic Modular Functions (Monograph) -- 6.3.4 The Theory of Automorphic Functions (Monograph) -- 6.3.5 The Theory of Lamé Functions and Potential Theory -- 6.3.6 Refreshing His Work on Geometry -- 6.3.7 Visions: Internationality, Crystallography, Hilbert's Invariant Theory -- 6.3.7.1 An Eye on Developments Abroad -- 6.3.7.2 Arthur Schoenflies and Crystallography -- 6.3.7.3 Felix Klein and Hilbert's Invariant Theory -- 6.4 BRINGING PEOPLE AND INSTITUTIONS TOGETHER -- 6.4.1 The Professorium in Göttingen -- 6.4.2 A Proposal to Relocate the Technische Hochschule in Hanover to Göttingen -- 6.4.3 The Idea of Reorganizing the Göttingen Society of Sciences -- 6.4.4 Felix Klein and the Founding of the German Mathematical Society -- 6.5 THE PIVOTAL YEAR OF 1892 -- 6.5.1 Refilling Vacant Professorships in Prussia -- 6.5.1.1 Berlin, Breslau, and Klein's System for Classifying Styles of Thought -- 6.5.1.2 Hiring a Successor for H.A. Schwarz in Göttingen -- 6.5.2 A Job Offer from the University of Munich and the Consequences -- 7 SETTING THE COURSE, 1892/93-1895 -- 7.1 KLEIN'S ASSISTANTS AND HIS PRINCIPLES FOR CHOOSING THEM -- 7.2 THE GÖTTINGEN MATHEMATICAL SOCIETY -- 7.3 TURNING TO SECONDARY SCHOOL TEACHERS -- 7.4 A TRIP TO THE UNITED STATES -- 7.4.1 The World's Fair in Chicago and the Mathematical Congress.7.4.2 Twelve Lectures by Klein: The Evanston Colloquium -- 7.4.3 Traveling from University to University -- 7.4.4 Repercussions -- 7.5 THE BEGINNINGS OF WOMEN STUDYING MATHEMATICS -- 7.6 ACTUARIAL MATHEMATICS AS A COURSE OF STUDY -- 7.7 CONTACTING ENGINEERS AND INDUSTRIALISTS -- 7.8 THE ENCYKLOPÄDIE PROJECT -- 7.9 KLEIN SUCCEEDS IN HIRING DAVID HILBERT -- 8 THE FRUITS OF KLEIN'S EFFORTS, 1895-1913 -- 8.1 A CENTER FOR MATHEMATICS, NATURAL SCIENCES, AND TECHNOLOGY -- 8.1.1 The Göttingen Association -- 8.1.2 Applied Mathematics in the New Examination Regulations and the Consequences -- 8.1.3 Aeronautical Research -- 8.2 MAINTAINING HIS SCIENTIFIC REPUTATION -- 8.2.1 Automorphic Functions (Monograph) -- 8.2.2 Geometric Number Theory -- 8.2.3 A Monograph on the Theory of the Spinning Top -- 8.2.4 Inspiring Ideas in the Fields of Mathematical Physics and Technology -- 8.2.4.1 Hydrodynamics / Hydraulics -- 8.2.4.2 Statics -- 8.2.4.3 The Theory of Friction -- 8.2.4.4 The Special Theory of Relativity -- 8.3 PROGRAM: THE HISTORY, PHILOSOPHY, PSYCHOLOGY, ANDINSTRUCTION OF MATHEMATICS -- 8.3.1 The History of Mathematics -- 8.3.2 Philosophical Aspects -- 8.3.3 Psychological-Epistemological Classifications -- 8.3.4 The "Kleinian" Educational Reform -- 8.3.4.1 Suggestions for Reform -- 8.3.4.2 A Polemic about the Teaching of Analysis at the University -- 8.4 INTERNATIONAL SCIENTIFIC COOPERATION -- 8.5 EARLY RETIREMENT AND HONORS -- 8.5.1 Recovering and Working in the Hahnenklee Sanatorium -- 8.5.2 Max Liebermann's Portrait of Felix Klein -- 8.5.3 The Successors to Klein's Professorship -- 9 THE FIRST WORLD WAR AND THE POSTWAR PERIOD -- 9.1 POLITICAL ACTIVITY DURING THE FIRST WORLD WAR -- 9.1.1 The Vows of Allegiance of German Professors to Militarism -- 9.1.2 A Plea for Studying Abroad.9.2 HISTORY OF MATHEMATICS, THE "CRY FOR HELP OF MODERNPHYSICS," AND EDITION PROJECTS.Vita mathematica ;Volume 20.MatemàticsthubMathematiciansGermanyBiographyReformersGermanyBiographyAlemanyathubBiografiesthubLlibres electrònicsthubMatemàticsMathematiciansReformers510.92Tobies Renate535371Pakis Valentine A.MiAaPQMiAaPQMiAaPQBOOK9910488722403321Felix Klein922483UNINA02629oam 2200493 450 991083071390332120230117162105.01-5231-5499-31-119-50636-01-119-50632-8(CKB)4100000011759778(MiAaPQ)EBC6473681(EXLCZ)99410000001175977820210630d2021 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierVibration assisted machining theory, modelling and applications /Lu Zheng, Wanqun Chen, Dehong HuoHoboken, NJ :Wiley,[2021]©20211 online resource (211 pages) illustrationsIncludes index.1-119-50635-2 Introduction to Vibration-Assisted Machining Technology Review of Vibration Systems Vibration System Design and Implementation Kinematics Analysis of Vibration-Assisted Machining Tool Wear and Burr Formation Analysis in Vibration-Assisted Machining Modeling of Cutting Force in Vibration-Assisted Machining Finite Element Modeling and Analysis of Vibration-Assisted Machining Surface Topography Simulation Technology for Vibration-Assisted Machining"Vibration Assisted Machining: Theory, Modelling and Applications comprehensively covers all key aspects of vibration assisted machining such as cutting kinematics and dynamics, effect of workpiece materials and wear of cutting tools and applications. Case studies with detailed guidance on design, modelling and tests of VAM systems, and machining experiment method are included and state-of-the-art research development on cutting force modelling and surface texture generation is considered. Vibration Assisted Machining: Theory, Modelling and Applications provides engineering students, researchers, and manufacturing engineers with the fundamentals of vibration assisted machining and methodologies for developing and implementing such technology to solve practical industry problems"-- Provided by publisherCuttingVibrationMachine-toolsVibrationMachiningCuttingVibration.Machine-toolsVibration.Machining.671.35Huo Dehong1606746Zheng Luactive 2021Chen WanqunMiAaPQMiAaPQUtOrBLWBOOK9910830713903321Vibration assisted machining3932690UNINA