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SPIRES-BOOKS: FIND KEYWORD HISTORY OF MATHEMATICAL SCIENCES *END*INIT* use /tmp/qspiwww.webspi1/7086.16 QRY 131.225.70.96 . find keyword history of mathematical sciences ( in books using www Cover
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Call number:9783319509303:ONLINE Show nearby items on shelf
Title:Random Walks in the Quarter Plane Algebraic Methods, Boundary Value Problems, Applications to Queueing Systems and Analytic Combinatorics
Author(s): Guy Fayolle
Date:2017
Edition:2nd ed. 2017
Size:1 online resource (XVII, 248 p. 17 illus p.)
Contents:Introduction and History -- I The General Theory. - Probabilistic Background. - Foundations of the Analytic Approach. - The Case of a Finite Group -- II Applications to Queueing Systems and Analytic Combinatorics -- A Two-Coupled
Processor Model. - References
ISBN:9783319509303
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Mathematical statistics , Difference equations , Functional equations , Probabilities , Statistics , Mathematics , Probability Theory and Stochastic Processes , Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Scien , Probability and Statistics in Computer Science , Difference and Functional Equations
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Call number:9783319428635:ONLINE Show nearby items on shelf
Title:Exploring Classical Greek Construction Problems with Interactive Geometry Software
Author(s): Ad Meskens
Date:2017
Size:1 online resource (XII, 185 p. 160 illus., 10 illus. in color p.)
Contents:1 Introduction -- 2 The Genesis of Geometry -- 3 Straightedge and compass constructions -- 4 The Delian Problem -- 5 Trisecting an angle -- 6 Squaring the circle -- 7 Constructible numbers -- 8 The Cinderella of regular polygons --
Afterthoughts -- Solutions -- Index
ISBN:9783319428635
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Geometry , History , Mathematics , Mathematics , Geometry , History of Mathematical Sciences , Mathematics Education
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Call number:9781493932108:ONLINE Show nearby items on shelf
Title:Towards a Theory of Spacetime Theories
Author(s):
Date:2017
Publisher:New York, NY : Springer New York
Size:1 online resource (VIII, 335 p. 7 illus p.)
Contents:Inertial Motion, Explanation, and the Foundations of Classical Spacetime Theories -- A Primer on Energy Conditions -- Background Independence, Diffeomorphism Invariance, and the Meaning of Coordinates -- Gauge Theory of Gravity and
Spacetime -- Paving the Way for Transitions - A Case for Weyl Geometry -- A Model-theoretic Analysis of Spacetime Theories -- The Relativity and Equivalence Principles for Self-gravitating Systems -- The Physical Significance of
Symmetries from the Perspective of Conservation Laws -- Raisers of the Lost Spacetime -- Does Time Exist in Quantum Gravity?
ISBN:9781493932108
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Differential geometry , History , Mathematical physics , Physics , Mathematics , History of Mathematical Sciences , Theoretical, Mathematical and Computational Physics , Mathematical Physics , Differential Geometry
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Call number:SPRINGER-2016-9788132227885:ONLINE Show nearby items on shelf
Title:Freedom in Mathematics
Author(s): Pierre Cartier
Date:2016
Size:1 online resource (117 p.)
Note:10.1007/978-81-322-2788-5
Contents:Presentation of the Authors (Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cedric Villani) -- On the Origins of Mathematics -- The Relations between Mathématics and Reality -- Social and Political History of Mathematics Education -- Nature and Issues of the Mathematics Research -- Conclusion -- Annexure
ISBN:9788132227885
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Applied mathematics , Engineering mathematics , History , Social sciences , Mathematics , History of Mathematical Sciences , Applications of Mathematics , Mathematics in the Humanities and Social Sciences
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Call number:SPRINGER-2016-9783764382933:ONLINE Show nearby items on shelf
Title:La correspondance entre Henri Poincaré, les astronomes, et les géodésiens
Author(s):
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-7643-8293-3
Contents:Introduction au Volume 3 -- Textes: Oskar Backlund -- Benjamin Baillaud -- Marcel Bertrand -- Guillaume Bigourdan -- Roland Bonaparte -- Robert Bourgeois -- Henry Bourget -- Martin Brendel -- Octave Callandreau -- Carl Vilhelm Ludvig Charlier -- Wil liam Henry Mahoney Christie -- Nicolæ Coculesco -- Louis Joseph Auguste Commines de Marsilly -- Eugène Cosserat -- George Howard Darwin -- Henri Deslandres -- Hervé Faye -- Camille Flammarion -- Wilhelm Julius Foerster -- Maurice Fouché -- Hugo Gyldé n -- Philippe Hatt -- Friedrich Robert Helmert -- GeorgeWilliam Hill -- Jules Janssen -- Jean Pierre Charles Lallemand -- Albert-Auguste Cochon de Lapparent -- Aimé Laussedat -- Auguste Lebeuf -- AleksandrMikhailovich Liapunov -- Anders Lindstedt -- Norm an Lockyer -- Edgar Odell Lovett -- GeorgeWilliam Myers -- Simon Newcomb -- Henri Joseph Perrotin -- Rodolphe Radau -- Karl Schwarzschild -- Martial Simonin -- Thorvald Nicolai Thiele -- François-Félix Tisserand -- Aloys Verschaffel -- Le Bureau
des longitudes -- Documents divers -- Compléments au Volume 2 -- Bibliographie
ISBN:9783764382933
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Observations, Astronomical , Astronomy , Mathematics , History of Mathematical Sciences , Astronomy, Observations and Techniques , History of Science
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Call number:SPRINGER-2016-9783662486382:ONLINE Show nearby items on shelf
Title:Bayesians Versus Frequentists A Philosophical Debate on Statistical Reasoning
Author(s): Jordi Vallverdú
Date:2016
Edition:1st ed. 2016
Size:1 online resource (110 p.)
Note:10.1007/978-3-662-48638-2
Contents:Some Questions to Begin with -- Ancient Statistics History in a Nutshell -- The Bayesian Approach and its Evolution until the Beginning of 20th Century -- A Conceptual Reply to Reverend Bayes: the Frequentist Approach -- The Co-evolution, Battles a nd Fights of Both Paradigms -- The Birth of Multicausality as the Death of Causality and Their Statistical Corollaries.- Natural vs. Artificial Minds and the Supercomputing Era -- And the Winner is... -- References
ISBN:9783662486382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Philosophy , History , Philosophy and science , Mathematics , Statistics , Philosophy , Philosophy of Science , History of Mathematical Sciences , History of Science , Statistical Theory and Methods
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Call number:SPRINGER-2016-9783319389455:ONLINE Show nearby items on shelf
Title:The Early Period of the Calculus of Variations
Author(s): Paolo Freguglia
Date:2016
Size:1 online resource (293 p.)
Note:10.1007/978-3-319-38945-5
Contents:Preface -- Some Introductory Material -- The Brachystochrone Problem: Johann and Jakob Bernoulli -- Isoperimetrical Problems: Jakob and Johann Bernoulli -- Shortest Lines and Geodesics -- Euler's Memoirs of 1738 and 1741 -- Euler's Method us Inveni endi -- Lagrange's δ-Calculus -- Bibliography -- Index of Names -- Subject Index
ISBN:9783319389455
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Calculus of variations , Mathematics , History of Mathematical Sciences , Calculus of Variations and Optimal Control Optimization
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Call number:SPRINGER-2016-9783319323770:ONLINE Show nearby items on shelf
Title:Pi: The Next Generation A Sourcebook on the Recent History of Pi and Its Computation
Author(s): David H Bailey
Date:2016
Size:1 online resource (507 p.)
Note:10.1007/978-3-319-32377-0
Contents:Foreword -- Preface -- Introduction -- Computation of pi using arithmetic-geometric mean -- Fast multiple-precision evaluation of elementary functions -- The arithmetic-geometric mean of Gauss -- The arithmetic-geometric mean and fast computation of elementary functions -- A simplified version of the fast algorithms of Brent and Salamin -- Is pi normal? -- The computation of pi to 29,360,000 decimal digits using Borweins' quartically convergent algorithm -- Gauss, Landen, Ramanujan, the arithmetic-g eometric mean, ellipses, pi, and the ladies diary -- Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation.-Ramanujan and pi -- 11. Ramanujan, modular equations, and approximations to pi or how to compute one billion digits of pi -- Pi, Euler numbers, and asymptotic expansions -- A spigot algorithm for the digits of pi -- On the rapid computation of various polylogarithmic constants -- Similarities in irrationality proofs for pi, ln 2, ζ(2),
and ζ(3) -- Unbounded spigot algorithms for the digits of pi -- Mathematics by experiment: Plausible reasoning in the 21st century -- Approximations to pi derived from integrals with nonnegative integrands -- Ramanujan's series for 1/π: A survey - - The computation of previously inaccessible digits of π2 and Catalan's constant -- Walking on real numbers -- Birth, growth and computation of pi to ten trillion digits -- Pi day is upon us again and we still do not know if pi is normal -- The Life of p i -- I prefer pi: A brief mathematical history and anthology of articles in the American Mathematical Monthly -- Bibliography -- Index
ISBN:9783319323770
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Computer mathematics , History , Number theory , Mathematics , Computational Mathematics and Numerical Analysis , Number Theory , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319285825:ONLINE Show nearby items on shelf
Title:Mathematical Cultures The London Meetings 2012-2014
Author(s):
Date:2016
Size:1 online resource (24 p.)
Note:10.1007/978-3-319-28582-5
Contents:Introduction -- Understanding the cultural construction of school mathematics -- Envisioning Transformations – The Practice of Topology -- Creative Discomfort: The Culture of the Gelfand Seminar at Moscow University -- Mathematical Culture and Mat hematics Education in Hungary in the XXth Century -- On the Emergence of a New Mathematical Object: an Ethnography of a Duality Transform -- What are we like… -- Mathematics as a social differentiating factor: men of letters, politicians and engineers i n Brazil through the Nineteenth Century -- “The End of Proof”? The integration of different mathematical cultures as experimental mathematics comes of age -- Diversity in Proof Appraisal -- What would the mathematics curriculum look like if instead of concepts and techniques, values were the focus? -- Mathematics and Values -- Purity as a Value in the German-speaking area -- Values in Caring for Proof -- An empirical approach to the mathematical values of problem choice and argumentation -- The
Notion of Fit as a Mathematical Value -- Mathematical Pull -- Mathematics and First Nations in Western Canada: from cultural destruction to a re-awakening of mathematical reflections -- Remunerative Combinatorics: Mathematicians and their Sponsors i n the Mid-Twentieth Century -- Calling a Spade a Spade: Mathematics in the New Pattern of Division of Labour -- Mathematics and mathematical cultures in fiction: the case of Catherine Shaw -- Morality and Mathematics -- The Great Gibberish - Mathematics i n Western Popular Culture -- Is Mathematics an issue of general education?
ISBN:9783319285825
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Philosophy and science , History , Mathematics , Mathematics , History of Mathematical Sciences , Mathematics Education , Philosophy of Science
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Call number:SPRINGER-2016-9783319279022:ONLINE Show nearby items on shelf
Title:Born-Jordan Quantization Theory and Applications
Author(s): Maurice A de Gosson
Date:2016
Edition:1st ed. 2016
Size:1 online resource (226 p.)
Note:10.1007/978-3-319-27902-2
Contents:Born-Jordan Quantization: Physical Motivation: On the Quantization Problem -- Quantization of Monomials -- Basic Hamiltonian Mechanics -- Wave Mechanics and the Schrödinger Equation -- Mathematical Aspects of Born-Jordan Quantization:
The Weyl Correspondence -- The Cohen Class -- Born-Jordan Quantization -- Shubin's Pseudo-Differential Calculus -- Born-Jordan Pseudo-Differential Operators -- Weak Values and the Reconstruction Problem -- Some Advanced Topics:
Metaplectic Operators -- Symplectic Covariance Properties -- Symbol Classes and Function Spaces
ISBN:9783319279022
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Fundamental Theories of Physics: 182
Keywords: Physics , Operator theory , Mathematical physics , Quantum physics , Physics , Quantum Physics , Operator Theory , Mathematical Applications in the Physical Sciences , History and Philosophical Foundations of Physics
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Call number:SPRINGER-2016-9783319274959:ONLINE Show nearby items on shelf
Title:Trick or Truth? The Mysterious Connection Between Physics and Mathematics
Author(s):
Date:2016
Edition:1st ed. 2016
Size:1 online resource (8 p.)
Note:10.1007/978-3-319-27495-9
Contents:Introduction -- Children of the cosmos (S. Wenmackers) -- Mathematics is Physics (M. S. Leifer) -- My god, it's full of clones: Living in a mathematical universe (M. Séguin) -- Let's consider two spherical chickens (T. Bolognesi) --
The raven and the writing desk (I. Durham) -- The deeper roles of mathematics in physical laws (K. H. Knuth) -- How mathematics meets the world (T. Maudlin) -- Mathematics: intuition's consistency check (K. Wharton) -- How not to
factor a miracle (D. K. Wise) -- The language of nature (D. Garfinkle) -- Demystifying the applicability of mathematics (N. Fillion) -- Why mathematics works so well (N. S. Yanofsky) -- Genesis of a pythagorean universe (A. Burov) --
Beyond math (S. Magnusdottir) -- The descent of math (S. I. Walker) -- The ultimate tactics of self-referential systems (C. C. Dantas) -- Cognitive science and the connection between physics and mathematics (A. Gupta Mujumdar) -- A
metaphorical chart of our mathematical ontology (P. Gibbs).-And the math will set you free (C. Stoica) -- Appendix: List of winners
ISBN:9783319274959
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Philosophy and science , Mathematical physics , Mathematical logic , Physics , History and Philosophical Foundations of Physics , Philosophy of Science , Mathematical Applications in the Physical Sciences , Mathematical Logic and Foundations
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Call number:SPRINGER-2016-9783319263427:ONLINE Show nearby items on shelf
Title:Gardens, Knowledge and the Sciences in the Early Modern Period
Author(s):
Date:2016
Size:1 online resource (35 p.)
Note:10.1007/978-3-319-26342-7
Contents:1.Hubertus Fischer, Volker R. Remmert, Joachim Wolschke-Bulmahn: Introduction -- I Scientization and Knowledge about Nature -- 2.Volker R. Remmert: The Art of Garden and Landscape Design and the Mathematical Sciences in the Early Modern Period -- 3. Michael Leslie: “Without design, or Fate, or Force”: Why Couldn’t John Evelyn Complete the “Elysium Britannicum”? -- 4.Chandra Mukerji: The Power of the Sun-King at the Potager du Roi -- II Mathematical Sciences and the Art of Gardening -- 5.Sim one M. Kaiser and Matteo Valleriani: The Organ of the Villa d’Este in Tivoli and the Standards of Pneumatic Engineering in the Renaissance -- 6.Denis Ribouillault: Sundials on the Quirinal: Astronomy and the Early Modern Garden -- 7.Anthony Gerbino: Jac ques Lemercier's 'Scenografia du Chasteau de Montjeu': Printmaking, Cartography, and Landscape in 1620 -- 8.Hubertus Fischer: Utopia, Science and Garden Art in the Early Modern Era -- III Botany between Art and Science -- 9.Alessandro Tosi: Botanical
illustration and the idea of the garden in the sixteenth century between imitation and imagination -- 10.Irina Schmiedel: Gardens on Canvas and Paper: Cataloguing Botanical Abundance in Late Medici Tuscany -- 11.Gregory Grämiger: Reconstructing Ord er: The Spatial Arrangements of Plants in the Hortus Botanicus of Leiden University in its First Years -- 12.Carola Piepenbring-Thomas: Garden visits, observations, reading and excerpts. Martin Fogel (1634-1675) and his techniques of acquiring knowledge - - IV Botanical Knowledge and Horticulture -- 13.Anatole Tchikine: Watering the Renaissance Garden: Horticultural Theory and Irrigation Practice in Sixteenth-Century Tuscany -- 14.Alette Fleischer: Gardening nature, gardening knowledge: The parallel activi ties of stabilizing knowledge and gardens in the early modern period -- 15.Ana Duarte Rodriguez: Gardening knowledge through the circulation of agricultural treatises in Portugal from the sixteenth to eighteenth centuries -- 16.Iris
Lauterbach: Commerce and Erudition: Civic Self Representation by Botany and Horticulture in Germany, 16th to 18th centuries -- V Perspective -- 17.Joachim Wolschke-Bulmahn: Landscape Design and the Natural Sciences in Germany and the United States i n the Early Twentieth Century: “Reactionary Modernism”? -- Index of names
ISBN:9783319263427
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Mathematics , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319260426:ONLINE Show nearby items on shelf
Title:On the Hypotheses Which Lie at the Bases of Geometry
Author(s): Bernhard Riemann
Date:2016
Size:1 online resource (172 p.)
Note:10.1007/978-3-319-26042-6
Contents:Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography
ISBN:9783319260426
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Mathematics , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319255682:ONLINE Show nearby items on shelf
Title:My Search for Ramanujan How I Learned to Count
Author(s): Ken Ono
Date:2016
Size:1 online resource (10 p.)
Note:10.1007/978-3-319-25568-2
Contents:Prologue -- Part I: My Life Before Ramanujan -- Tiger Boy -- My roots -- My childhood -- An Unexpected Letter -- My escape -- Part II: The Legend of Ramanujan -- Little lord -- A creative genius -- An addiction -- Goddess -- Purgatory -- Janaki -- I beg to introduce myself -- These formulas defeated me completely -- Permission from a Goddess -- Together at last -- Culture Shock -- Triumph over racism -- English malaise -- Ramanujan's homecoming -- The tragic end -- Part III: My Life Adrift -- I beli eve in Santa -- Out of the frying pan and into the fire -- Erika -- The Pirate Professor -- Growing pains -- Part IV: Finding my way -- My teacher -- Hitting bottom -- A miracle -- My Hardy -- Hitting my stride -- Bittersweet reunion -- I count now -- The idea of Ramanujan -- My spirituality -- Epilogue -- My pilgrimages -- Face to Face with Ramanujan -- My search goes on -- Afterword -- Two Questions -- Fermat's Last Theorem and the Tokyo-Nikko Conference -- Mathematical gems --
Ramanujan's 1729 Taxicab number -- Approximations to p -- Highly composite numbers -- Euler's partition numbers -- Rogers-Ramanujan identities -- Ramanujan's tau-function
ISBN:9783319255682
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Number theory , Mathematics , Number Theory , History of Mathematical Sciences , History of Science
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Call number:SPRINGER-2016-9783319247564:ONLINE Show nearby items on shelf
Title:Modern Logic 1850-1950, East and West
Author(s):
Date:2016
Size:1 online resource (4 p.)
Note:10.1007/978-3-319-24756-4
Contents:Contributors -- Introduction -- Irving H. Anellis: Preface and Prospectus -- Irving H. Anellis and Francine F. Abeles: The Historical Sources of Tree Graphs and the Tree Method in the Work of Peirce and Gentzen -- Jean Paul Van Bendegem: Logic and A rgumentation in Belgium: The Role of Leo Apostel -- Philippe de Rouilhan: Tarski’s Recantation: Reading the Postscript to “Wahrheitsbegriff” -- Jan Woleński: The Paradox of Analyticity and Related Issues -- David DeVidi and Herbert Korté: Naturali zing Natural Deduction -- Alberto Peruzzi: Category Theory and the Search for Universals: A Very Short Guide for Philosophers -- Roman Murawski: On the Way to Modern Logic – The Case of Polish Logic -- Valentin A. Bazhanov: Russian Origins of Non-Classi cal Logics -- Vladik Kreinovich: Constructive Mathematics in St. Petersburg, Russia: A (Somewhat Subjective) View from Within -- Jonathan P. Seldin: On Normalizing Disjunctive Intermediate Logic -- R.E. Hodel: A Natural Axiom System for Boolean
Algebras with Applications.
ISBN:9783319247564
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Logic , History , Mathematical logic , Mathematics , Mathematical Logic and Foundations , Logic , History of Mathematical Sciences
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Call number:SPRINGER-2016-9783319243795:ONLINE Show nearby items on shelf
Title:Varying Gravity Dirac’s Legacy in Cosmology and Geophysics
Author(s): Helge Kragh
Date:2016
Edition:1st ed. 2016
Size:1 online resource (4 p.)
Note:10.1007/978-3-319-24379-5
Contents:Preface -- 1.Introductory Issues -- 2.Varying Gravity -- 3.The Expanding Earth -- 4.After Plate Tectonics -- Bibliography -- Index
ISBN:9783319243795
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Science Networks. Historical Studies: 54
Keywords: Mathematics , History , Cosmology , Geophysics , Mathematics , History of Mathematical Sciences , Cosmology , Geophysics and Environmental Physics
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Call number:SPRINGER-2016-9783319231020:ONLINE Show nearby items on shelf
Title:Mathematician for All Seasons Recollections and Notes, Vol. 2 (1945–1968)
Author(s): Hugo Steinhaus
Date:2016
Edition:1st ed. 2016
Size:1 online resource (20 p.)
Note:10.1007/978-3-319-23102-0
Contents:Foreword to the first Polish edition -- Introduction to the English edition -- Part I: Jaslo -- The Gymnasium -- In the capital Lwów -- Göttingen -- The return home -- The life of a private scholar -- Part II: In the university town Lwów -- The first occupation -- Interlude: Flashes of memory -- The second occupation -- Homeless wandering -- Osiczyna -- Interlude: Flashes of memory -- Stróze -- Diary entries -- A flash of memory -- Diary entries (continued) -- Between Kraków and Wroclaw -- Wro claw -- A taste of America -- Wroclaw again -- America again -- Home again -- Index of names
ISBN:9783319231020
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Vita Mathematica : 19
Keywords: Mathematics , History , Mathematics , History of Mathematical Sciences , History, general
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Call number:SPRINGER-2016-9783319201344:ONLINE Show nearby items on shelf
Title:Galileo and the Equations of Motion
Author(s): Dino Boccaletti
Date:2016
Edition:1st ed. 2016
Size:1 online resource (175 p.)
Note:10.1007/978-3-319-20134-4
Contents:Part I The Theories on the Motion of Bodies in the Classical Antiquity -- Kinematics among the Greeks -- Dynamics in the Opinion of Aristotle and his Continuators -- The Theories of Motion in the Middle Ages and in the Renaissance --
The first substantial Criticisms to Aristotelian Mechanics – Philoponus and Avempace -- The medieval Kinematics -- Part II A brief Chronology of Galileo’s Life -- The young Galileo and the De Motu -- The Inertia Principle.-The Law of
Fall and the Motion of Projectiles -- The Principle of Relativity
ISBN:9783319201344
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , History , Mathematical physics , Mechanics , Observations, Astronomical , Astronomy , Physics , Mechanics , History and Philosophical Foundations of Physics , Astronomy, Observations and Techniques , History of Science , Mathematical Applications in the Physical Sciences
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Call number:SPRINGER-2016-9783319198637:ONLINE Show nearby items on shelf
Title:Leibniz on the Parallel Postulate and the Foundations of Geometry The Unpublished Manuscripts
Author(s): Vincenzo De Risi
Date:2016
Edition:1st ed. 2016
Size:1 online resource (195 p.)
Note:10.1007/978-3-319-19863-7
Contents:1.Introduction -- 2.The Theory of Parallel Lines in the Age of Leibniz -- 3.Leibniz’ Epistemology of Geometry and the Parallel Postulate -- 4.Leibniz’ Attempts to prove the Parallel Postulate -- 5.Reception and Legacy -- Leibniz’ Texts on Par allel Lines -- Bibliography
ISBN:9783319198637
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Science Networks. Historical Studies: 51
Keywords: Mathematics , Philosophy , Geometry , History , Mathematics , History of Mathematical Sciences , Geometry , History of Philosophy
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Call number:SPRINGER-2016-9783319187990:ONLINE Show nearby items on shelf
Title:Nigel J. Kalton Selecta Volume 2
Author(s):
Date:2016
Size:1 online resource (777 p.)
Note:10.1007/978-3-319-18799-0
Contents:Preface -- 6.Approximation Theory -- 7.Geometry and Banach Spaces -- 8.Interpolation Theory -- 9.Probability and Banach Spaces
ISBN:9783319187990
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Applied mathematics , Engineering mathematics , History , Mathematics , Functional Analysis , History of Mathematical Sciences , Applications of Mathematics
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Call number:SPRINGER-2016-9783319187969:ONLINE Show nearby items on shelf
Title:Nigel J. Kalton Selecta Volume 1
Author(s):
Date:2016
Size:1 online resource (771 p.)
Note:10.1007/978-3-319-18796-9
Contents:Preface -- 1.Nigel Kalton's CV -- 2.Nonlocally Convex Spaces and Sub measures -- 3.Differential Games -- 4.Operator Theory -- 5.Harmonic Analysis and PDEs
ISBN:9783319187969
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functional analysis , Applied mathematics , Engineering mathematics , History , Mathematics , Functional Analysis , History of Mathematical Sciences , Applications of Mathematics
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Call number:SPRINGER-2016-9781493935338:ONLINE Show nearby items on shelf
Title:Enrico Fermi The Obedient Genius
Author(s): Giuseppe Bruzzaniti
Date:2016
Size:1 online resource (3 p.)
Note:10.1007/978-1-4939-3533-8
Contents:Preface to the English Edition -- Preface to the Italian Edition -- The Last Galilean -- 20th Century Physics: 1900-1933 -- Enrico Fermi: Research Itineraries 1921-1933 -- 20th Century Physics: 1934-1954 -- Enrico Fermi: Research Itineraries 1934-1 954 -- Epilogue -- Appendix A: Chronologies -- Appendix B: Documents -- Appendix C: Background Material -- Appendix D: Enrico Fermi's Bibliography
ISBN:9781493935338
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Mathematical physics , Quantum physics , Elementary particles (Physics) , Quantum field theory , Physics , Mathematics , History of Mathematical Sciences , Mathematical Physics , History and Philosophical Foundations of Physics , Elementary Particles, Quantum Field Theory , Quantum Physics
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Call number:SPRINGER-2014-9783642367366:ONLINE Show nearby items on shelf
Title:From Alexandria, Through Baghdad [electronic resource] : Surveys and Studies in the Ancient Greek and Medieval Islamic Mathematical Sciences in Honor of J.L. Berggren
Author(s): Nathan Sidoli
Glen Van Brummelen
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey ofscholarship in the mathematic al sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the bookcontains studies by eminent scholars of the ancient an d medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends andcolleagues
Contents:History of Greek Mathematics
Mathematical Reconstructions Out, Textual Studies in
Research on Ancient Greek Mathematical Sciences
History of Mathematics in the Islamic World
Mathematics and Her Sisters in Medieval Islam
A Survey of Research in the Mathematical Sciences in Medieval Islam from 1996 to 2011
The Life of Pi: From Archimedes to ENIAC and Beyond
Mechanical Astronomy: A Route to the Ancient Discovery of Epicycles and Eccentrics
Some Greek Sundial Meridians
An Archimedean Proof of Herons Formula for the Area of a Triangle
Reading the Lost Folia of the A
ISBN:9783642367366
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2014-9783319044866:ONLINE Show nearby items on shelf
Title:Risk - A Multidisciplinary Introduction [electronic resource]
Author(s): Claudia Klppelberg
Daniel Straub
Isabell M Welpe
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:This is a unique book addressing the integration of risk methodology from various fields. It stimulates intellectual debate and communication across disciplines, promotes better risk management practices and contributes to thedevelopment of risk mana gement methodologies. Book chapters explain fundamental risk models and measurement, and address risk and security issues from diverse areas such as finance and insurance, health sciences, life sciences,engineering and information science. Integrated Risk Sciences is an emerging field, that considers risks in different fields aiming at a common language, and at sharing and improving methods developed in different fields. Readersshould have a Bachelor degree and at least one basic university course in stat istics and probability. The main goal of the book is to provide basic knowledge on risk and security in a common language the authors have taken particularcare to ensure that each chapter can be understood by doctoral students and researchers across disci plines. Each chapter provides simple case studies and examples, open research questions and discussion points, and a selectedbibliography inviting the reader to further studies
Contents:Introduction
Part One. Risk in History and Science: Zachmann, K.: Risk in historical perspective: concepts, contexts, and conjunctions
Ltge, C., Schnebel, E., Westphal, N.: Risk management and business ethics: integrating the human factor
Straub, D., Welpe, I.: Decision
making under risk: a normative and behavioral perspective
Mainzer, K.: The new role of mathematical modelling and its importance for society
Part Two. Quantitative Risk Methodology: Biagini, F. , Meyer
Brandis, T. and Svindland, G. :The mathematical concept of risk
Fasen, V., Klppelberg, C., Menzel, A.: Qu
ISBN:9783319044866
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geology , Computer science , Distribution (Probability theory) , Statistics , System safety , Climatic changes
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Call number:SPRINGER-2014-9783319021119:ONLINE Show nearby items on shelf
Title:The Art of Science [electronic resource] : From Perspective Drawing to Quantum Randomness
Author(s): Rossella Lupacchini
Annarita Angelini
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:Like linear perspective, complex numbers and probability are notable discoveries of the Renaissance. History has been quick to recognize the crucial impact of linear perspective on painting, but reluctant to acknowledge theimportance of complex numbe rs and probability. Both were treated with a great deal of suspicion by the scientific establishment and overlooked for many years. It was only in the twentieth century, when quantum theory defined the notionof complex probability amplitude, that complex numbers merged with probability and transformed the image of the physical world. From a theoretical point of view, however, the space opened to painting by linear perspective and thespace opened to science by complex numbers are equally valuable and share significant characteristics. By exploring that common ground, The Art of Science will lead the reader to complement Leonardos vision of painting as a scienceand to see science as an art. Its aim is to restore a visual dimension to mathematical sciences an element dulled, if not obscured, by historians, philosophers, and scientists themselves
Contents:From Perspective Drawing to the Eighth Dimension
Seeing Reality in Perspective: The Art of Optics and the Science of Painting
The Role of Perspective in the Transformation of European Culture
Visual DifferentialGeometry and Beltramis Hyperbolic Plane
All Done by Mirrors: Symmetries, Quaternions, Spinors, and Clifford Algebras
Artists & Gamblers on the Way to Quantum Physics
Radices Sophisticae, Racines Imaginaires: The Origins of Complex Numbers in the Late Renaissance
Random, Complex, and Quantum
ISBN:9783319021119
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Science Philosophy , Quantum theory , Humanities
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Call number:SPRINGER-2014-9781461491552:ONLINE Show nearby items on shelf
Title:Handbook on the History of Mathematics Education [electronic resource]
Author(s): Alexander Karp
Gert Schubring
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This is the first comprehensive International Handbook on the History of Mathematics Education, covering a wide spectrum of epochs and civilizations, countries and cultures. Until now, much of the research into the rich and variedhistory of mathemati cs education has remained inaccessible to the vast majority of scholars, not least because it has been written in the language, and for readers, of an individual country. And yet a historical overview, howeverbrief, has become an indispensable element of nearly every dissertation and scholarly article. This handbook provides, for the first time, a comprehensive and systematic aid for researchers around the world in finding the informationthey need about historical developments in mathematics education, no t only in their own countries, but globally as well. Although written primarily for mathematics educators, this handbook will also be of interest to researchers of thehistory of education in general, as well as specialists in cultural and even social hist ory
Contents:Part 1. History and Methodology of the Field
1.On historiography of teaching and learning mathematics
2.The History of Mathematics Education: Developing a Research Methodology
Part 2.Mathematics Education in Different Epochs and in Different Regions: Antiquity and the Middle Ages
3.Mathematics Education in Antiquity
4.Mathematics Education in Oriental Antiquity and the Middle Ages
5.Teaching the Mathematical Sciences in Islamic Societies, 8th
17th Centuries
6.Mathematics Education in the European Middle Ages
Part 3.Mathematics Education in Different Epochs and in Differ
ISBN:9781461491552
Series:eBooks
Series:SpringerLink
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2014-9781447156192:ONLINE Show nearby items on shelf
Title:Paul Lvy and Maurice Frchet [electronic resource] : 50 Years of Correspondence in 107 Letters
Author(s): Marc Barbut
Bernard Locker
Laurent Mazliak
Date:2014
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:The fascinating correspondence between Paul Lvy and Maurice Frchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research andpassionate enthusiasm fo r the emerging field of modern probability theory. The letters cover various topics of mathematical importance including academic careers and professional travels, issues concerning students and committees, andthe difficulties both mathematicians met to b e elected to the Paris Academy of Sciences. The technical questions that occupied Lvy and Frchet on almost a daily basis are the primary focus of these letters, which are charged withelation, frustration and humour. Their mathematical victories and setba cks unfolded against the dramatic backdrop of the two World Wars and the occupation of France, during which Lvy was obliged to go into hiding. The clear andpersistent desire of these mathematicians to continue their work whatever the circumstance testifie s to the enlightened spirit of their discipline which was persistent against all odds. The book contains a detailed and comprehensiveintroduction to the central topics of the correspondence. The original text of the letters are also annotated by numerous footnotes for helpful guidance. Paul Lvy and Maurice Frchet will be useful to anybody interested in thehistory of mathematics in the twentieth century and, in particular, the birth of modern probability theory
Contents:Introduction
Introduction to the correspondence
107 Letters from Paul Lvy to Maurice Frchet
ISBN:9781447156192
Series:eBooks
Series:SpringerLink
Series:Sources and Studies in the History of Mathematics and Physical Sciences, 2196-8810
Series:Mathematics and Statistics (Springer-11649)
Keywords: Science History , Functional analysis , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781461487159:ONLINE Show nearby items on shelf
Title:Statistical Analysis of Panel Count Data [electronic resource]
Author(s): Jianguo Sun
Xingqiu Zhao
Date:2013
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Panel count data occur in studies that concern recurrent events, or event history studies, when study subjects are observed only at discrete time points. By recurrent events, we mean the event that can occur or happen multipletimes or repeatedly. Exa mples of recurrent events include disease infections, hospitalizations in medical studies, warranty claims of automobiles or system break-downs in reliability studies. In fact, many other fields yield eventhistory data too such as demographic studies, eco nomic studies and social sciences. For the cases where the study subjects are observed continuously, the resulting data are usually referred to as recurrent event data. This bookcollects and unifies statistical models and methods that have been developed for analyzing panel count data. It provides the first comprehensive coverage of the topic. The main focus is on methodology, but for the benefit of thereader, the applications of the methods to real data are also discussed along with numerical calculation s. There exists a great deal of literature on the analysis of recurrent event data. This book fills the void in the literature onthe analysis of panel count data. This book provides an up-to-date reference for scientists who are conducting research on the analysis of panel count data. It will also be instructional for those who need to analyze panel count datato answer substantive research questions. In addition, it can be used as a text for a graduate course in statistics or biostatistics that assumes a basic knowledge of probability and statistics.
Note:Springer eBooks
Contents:Introduction
Poisson Models and Parameter Inference
Nonparametric Estimation
Nonparametric Comparison of Point Processes
Regression Analysis of Panel Count Data I and II
Analysis of Multivariate Panel Count Data
Other Topics
Some Sets of Data
References
Index
ISBN:9781461487159
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics for Biology and Health, 1431-8776 : v80
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf
Title:Stochastic Differential Games. Theory and Applications [electronic resource]
Author(s): Kandethody M Ramachandran
Chris P Tsokos
Date:2012
Publisher:Paris : Atlantis Press
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction
Note:Springer eBooks
Contents:Introduction, Survey and Background Material
Stochastic Linear Pursuit
Evasion Game
Two Person Zero
Sum Differential Games
General Case
Formal Solutions for Some Classes of Stochastic Linear Pursuit
N
Person Noncooperative Differential Games
Weak Convergence in Two Player Stochastic Differential Games
Weak Convergence in Many Player Games
Some Numerical Methods
Applications to Finance
ISBN:9789491216473
Series:e-books
Series:SpringerLink (Online service)
Series:Atlantis Studies in Probability and Statistics, 1879-6893 : v2
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Distribution (Probability theory) , Economics, Mathematical
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Call number:SPRINGER-2012-9783642230684:ONLINE Show nearby items on shelf
Title:Models of Science Dynamics [electronic resource] : Encounters Between Complexity Theory and Information Sciences
Author(s): Andrea Scharnhorst
Katy Brner
Peter Besselaar
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Models of science dynamics aim to capture the structure and evolution of science. They are developed in an emerging research area in which scholars, scientific institutions and scientific communications become themselves basicobjects of research. In order to understand phenomena as diverse as the structure of evolving co-authorship networks or citation diffusion patterns, different models have been developed. They include conceptual models based onhistorical and ethnographic observations, mathematica l descriptions of measurable phenomena, and computational algorithms. Despite its evident importance, the mathematical modeling of science still lacks a unifying framework and acomprehensive research agenda. This book aims to fill this gap, reviewing and describing major threads in the mathematical modeling of science dynamics for a wider academic and professional audience. The model classes presented herecover stochastic and statistical models, game-theoretic approaches, agent-based simulations, populati on-dynamics models, and complex network models. The book starts with a foundational chapter that defines and operationalizesterminology used in the study of science, and a review chapter that discusses the history of mathematical approaches to modeling sc ience from an algorithmic-historiography perspective. It concludes with a survey of future challengesfor science modeling and discusses their relevance for science policy and science policy studies
Note:Springer eBooks
Contents:Part I Foundations
An Introduction to Modeling Science: Basic Model Types, Key Definitions, and a General Framework for the Comparison of Process Models
Mathematical Approaches to Modeling Science From an Algorithmic
historiography Perspectice
Part II Exemplary Model Type
Knowledge Epidemics and Population Dynamics Models for Describing Idea Diffusion
Agent
based Models of Science
Evolutionary Game Theory and Complex Networks of Scientific Information
Part III Exemplary Model Applications
Dynamic Scientific Co
authorship Networks
Citation Networks
Part IV Outlook
ISBN:9783642230684
Series:e-books
Series:SpringerLink (Online service)
Series:Understanding Complex Systems, 1860-0832
Series:Physics and Astronomy (Springer-11651)
Keywords: Social sciences , Engineering , Social sciences Methodology
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Call number:SPRINGER-2012-9781461424079:ONLINE Show nearby items on shelf
Title:Henri Poincar [electronic resource] : Impatient Genius
Author(s): Ferdinand Verhulst
Date:2012
Publisher:Boston, MA : Springer US : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book describes the life and work of Henri Poincar, detailing most of his unique achievements in mathematics and physics. It is divided into two partsthe first on Poincars life, and the second on his contributionsto the mathematical sciences. Apa rt from biographical details, attention is given to Poincars results on automorphic functions differential equations and dynamical systems celestial mechanics mathematical physics, in particularthe theory of the electron and relativity and topology (analy sis situs). A chapter on philosophy explains Poincars conventionalism in mathematics and his view of conventionalism in physics. The book shows how Poincar reachedhis fundamentally new results in many different fields, how he thought about problems, and h ow one should read his work. Simultaneously, it is made clear how analysis and geometry are intertwined in Poincars thinking and work. Indynamical systems, this becomes clear in his description of invariant manifolds, his association of differential equat ion flow with mappings, and his fixed-point theory. There is no comparable book on Poincar presenting such arelatively complete vision of his life and the working of his very original mind. Scientists and engineers as well as general readers interested in the history of science will find this book of interest. Reviews of this book:Thetitle of this biography is particularly well chosen : Henri Poincar was a true genius, and he was impatient. It gives a fair picture of both the man and the scientist, comple ted by particularly well chosen illustrations. Jean Mawhin,Universit Catholique de Louvain, Belgium Ferdinand Verhulst has written a true scientific biography, introducing Poincar the man, his cultural milieu, and his mathematics. This book shows why, a c entury after his death,Poincar's ideas still shape a substantial part of the mathematical sciences. Philip J Holmes, Princeton University, USA
Note:Springer eBooks
Contents:The early years
Academic education, 1873
1879
Impressive results in Vesoul and Caen
Career in Paris
The prize competition of Oscar II
Philosophy and essays
At the end, what kind of a man?
Automorphic functions
Differential equations and dynamical systems
Analysis Situs
Mathematical Physics
Poincar
Historical data and biographical details
References
Index
ISBN:9781461424079
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Engineering
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Call number:SPRINGER-2011-9788847018365:ONLINE Show nearby items on shelf
Title:Giuseppe Peano between Mathematics and Logic [electronic resource] : Proceeding of the International Conference in honour of Giuseppe Peano on the 150th anniversary of his birth and the centennial of the FormularioMathematico, Turin (Italy), October 23,2008 / edited by Fulvia Skof
Author(s): Fulvia Skof
Date:2011
Publisher:Milano : Springer Milan
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University tocelebrate the 150th anniversa ry of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, agreat attempt to systematise Mathematics in symbolic f orm
Note:Springer eBooks
Contents:Giuseppe Peano and Mathematical Analysis in Italy
Some Contributions of Peano to Analysis in the Light of the Work of Belgian Mathematicians
Peano, his School andNumerical Analysis
Geometric Calculus and Geometry Foundations in Peano
The Formulario between Mathematics and History
Giuseppe Peano: a Revolutionary in Symbolic Logic?
At the Origins of Metalogic
Foundations of Geometry in the School of Peano
ISBN:9788847018365
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Science Philosophy , Logic, Symbolic and mathematical
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Call number:SPRINGER-2011-9783642178542:ONLINE Show nearby items on shelf
Title:Fatou, Julia, Montel [electronic resource] : The Great Prize of Mathematical Sciences of 1918, and Beyond
Author(s): Michle Audin
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
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Note:How did Pierre Fatou and Gaston Julia create what we now call Complex Dynamics, in the context of the early twentieth century and especially of the First World War? The book is based partly on new, unpublished sources.Who werePierre Fatou, Gaston Jul ia, Paul Montel? New biographical information is given on the little known mathematician that was Pierre Fatou. How did the serious WW1 injury of Julia influence mathematical life in France? From the reviews ofthe French edition: Audins book is indeed fil led with marvelous biographical information and analysis, dealing not just with the men mentioned in the books title but a large number of other players, too . the book underreview addresses itself to scholars for whom the history of mathematics has a pa rticular resonance and especially to mathematicians active, or even with merely an interest in, complex dynamics. presents it all to the reader in avery appealing form. (Michael Berg, The Mathematical Association of America, October 2009)
Note:Springer eBooks
Contents:I The Great Prize, the framework
I.1 The iteration problem in 1915
I.2 The protagonists around 19171918
I.3 The war
I.4 Iteration, a few definitions and notation
I.5 Normal families
I.6 Relation to functional equations
II The Great Prize of Mathematical
II.1 Year 1917
II.2 Year 1918
III The memoirs
III.1 Julias memoir
III.2 The (three) memoir(s) of Fatou
III.3 Comments (in the first person)
III.4 To summarise
IV After Fatou and Julia
IV.1 Stop
IV.2 Hausdorff distance (1914) and dimension (1919)
IV.3 Irregular points, J
points, O
point
ISBN:9783642178542
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v2014
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems
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Call number:SPRINGER-2011-9780857291158:ONLINE Show nearby items on shelf
Title:A Short History of Mathematical Population Dynamics [electronic resource]
Author(s): Nicolas Bacar
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
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Note:

As Eugene Wigner stressed, mathematics has proven unreasonably effective in the physical sciences and their technological applications. The role of mathematics in the biological, medical and social sciences has been much moremodest but has recentl y grown thanks to the simulation capacity offered by modern computers.

This book traces the history of population dynamics---a theoretical subject closely connected to genetics, ecology, epidemiology anddemography---where mathematics has brought si gnificant insights. It presents an overview of the genesis of several important themes: exponential growth, from Euler and Malthus to the Chinese one-child policy the development ofstochastic models, from Mendel's laws and the question of extinction of fa mily names to percolation theory for the spread of epidemics, and chaotic populations, where determinism and randomness intertwine.

The reader of thisbook will see, from a different perspective, the problems that scientists face when governments as k for reliable predictions to help control epidemics (AIDS, SARS, swine flu), manage renewable resources (fishing quotas, spread ofgenetically modified organisms) or anticipate demographic evolutions such as aging.

Note:Springer eBooks
Contents:The Fibonacci sequence (1202)
Halleys life table (1693)
Euler and the geometric growth of populations (17481761)
Daniel Bernoulli, dAlembert and the inoculation of smallpox (1760)
Malthus and the obstacles to geometric growth (1798)
Verhulst and the logistic equation (1838)
Bienaym, Cournot and the extinction of family names (18451847)
Mendel and heredity (1865)
Galton, Watson and the extinction problem (18731875)
Lotka and stable population theory (19071911)
The HardyWeinberg law (1908)
Ross and malaria (1911)
Lotka, Volterra and the
ISBN:9780857291158
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Genetics Mathematics , Biology Mathematics , Mathematics_$xHistory
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Call number:SPRINGER-2011-9780387848266:ONLINE Show nearby items on shelf
Title:A Survey of the Almagest [electronic resource] With Annotation and New Commentary by Alexander Jones
Author(s): Olaf Pedersen
Alexander Jones
Date:2011
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
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Note:The Almagest, by the Greek astronomer and mathematician Ptolemy, is the most important surviving treatise on early mathematical astronomy, offering historians valuable insight into the astronomy and mathematics of the ancientworld. Pedersen's 1974 pu blication, A Survey of the Almagest, is the most recent in a long tradition of companions to the Almagest. Part paraphrase and part commentary, Pedersens work has earned the universal praise ofhistorians and serves as the definitive introductory text for students interested in studying the Almagest. In this revised edition, Alexander Jones, a distinguished authority on the history of early astronomy, providessupplementary information and commentary to the original text to account for scholarship that has appeared since 1974. This revision also incorporates various corrections to Pedersen's original text that have been identified since itspublication. This volume is intended to provide students of the history of astronomy with a self-contained introduction to the Almagest, helping them to understand and appreciate Ptolemys great and classical work. From thereviews of A Survey of the Almagest: Pedersen has performed his analysis with great care and technical accuracy. [The book] is written dearly and conci sely. It certainly achieves its aim of making the 'Almagest' accessibleand understandable to students of the history of astronomy. G. J. Toomer, Archives Internationales dHistoire des Sciences The organization of the 'Survey' is done in such a brilliant style that makes the technicallyprohibiting text of the 'Almagest' an enjoyable reading within a clear historical perspective George A. Saliba, Centaurus ['A Survey of the Almagest'] is a mine of well-organized, well-documented, carefully cross-indexedi nformation. Indeed, the general reader will find it an eye-opening introduction to Greek mathematics Victor E. Thoren, Isis
Note:Springer eBooks
Contents:Forward to the revised edition
Preface
The almagest through the ages
Physics and philosophy in the almagest
Ptolemy as a mathematician
Spherical astronomy in the almagest
The motion of the sun
The theories of the moon
Parallaxes and eclipses
The fixed stars
The superior planets
The inferior planets
Retrograde motions and maximum elongations
Latitudes and visibility periods
Epilogue
the other ptolemy
Apendix A: dated observations
Appendix B: numerical parameters
Bibliography
Index of names
Index of subjects
Supplementary notes
Sup
ISBN:9780387848266
Series:e-books
Series:SpringerLink (Online service)
Series:Sources and Studies in the History of Mathematics and Physical Sciences
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics
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Call number:SPRINGER-2010-9781441906007:ONLINE Show nearby items on shelf
Title:Classical Topics in Discrete Geometry [electronic resource]
Author(s): Kroly Bezdek
Date:2010
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:About the author: Karoly Bezdek received his Dr.rer.nat.(1980) and Habilitation (1997) degrees in mathematics from the Etvs Lornd University, in Budapest and his Candidate of Mathematical Sciences (1985) and Doctor ofMathematical Sciences (1994) degr ees from the Hungarian Academy of Sciences. He is the author of more than 100 research papers and currently he is professor and Canada Research Chair of mathematics at the University of Calgary. Aboutthe book: This multipurpose book can serve as a textboo k for a semester long graduate level course giving a brief introduction to Discrete Geometry. It also can serve as a research monograph that leads the reader to the frontiers ofthe most recent research developments in the classical core part of discrete g eometry. Finally, the forty-some selected research problems offer a great chance to use the book as a short problem book aimed at advanced undergraduate andgraduate students as well as researchers. The text is centered around four major and by now classic al problems in discrete geometry. The first is the problem of densest sphere packings, which has more than 100 years of mathematicallyrich history. The second major problem is typically quoted under the approximately 50 years old illumination conjecture o f V. Boltyanski and H. Hadwiger. The third topic is on covering by planks and cylinders with emphases on theaffine invariant version of Tarski's plank problem, which was raised by T. Bang more than 50 years ago. The fourth topic is centered around the Kne ser-Poulsen Conjecture, which also is approximately 50 years old. All four topicswitnessed very recent breakthrough results, explaining their major role in this book
Note:Springer eBooks
Contents:Preface
Part I
Sphere Packings
Finite Packings by Translates of Convex Bodies
Coverings by Homothetic Bodies
Illumination and Related Topics
Coverings by Planks and Cylinders
On the Volume of Finie Arrangements of Spheres
Ball
Polyhedra as Interesctions of Congruent Balls
Part II
Selected Proofs on Sphere Packagings
Selected Proofs on Finite Packagings of Translates of Convex Bodies
Selected Proofs on Illumination and Related Topics
Selected Proofs on Coverings by Planks and Cylinders
Selected Proofs on the Kesner
Poulsen Conjecture
Selected Proofs o
ISBN:9781441906007
Series:e-books
Series:SpringerLink (Online service)
Series:CMS Books in Mathematics, Ouvrages de mathmatiques de la SMC, 1613-5237
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry
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Call number:SPRINGER-2009-9783764385736:ONLINE Show nearby items on shelf
Title:A Lost Mathematician, Takeo Nakasawa [electronic resource] The Forgotten Father of Matroid Theory
Author(s): Hirokazu Nishimura
Susumu Kuroda
Date:2009
Publisher:Basel : Birkhuser Basel
Size:1 online resource
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Note:Matroid theory was invented in the middle of the 1930s by two mathematicians independently, namely, Hassler Whitney in the USA and Takeo Nakasawa in Japan. Whitney became famous, but Nakasawa remained anonymous until two decadesago. He left only four papers to the mathematical community, all of them written in the middle of the 1930s. It was a bad time to have lived in a country that had become as eccentric as possible. Just as Nazism became more and moreflamboyant in Europe in the 1930s, Japan becam e more and more esoteric and fanatical in the same time period. This book explains the little that is known about Nakasawas personal life in a Japan that had, among other failures, lostcontrol over its military. We do not know what forces caused him to be discharged from the Tokyo University of Arts and Sciences. His work was considered brilliant, his papers superb, if somewhat unconventional and mysterious innotation. We do know that, in the latter half of the 1930s, forced to give up his mathematical ca reer, he chose to live as a bureaucrat in Manchuria, at that time a puppet state of Japan. He died in 1946 at Khavarovsk, at the age of33, after one year of forced labor in Siberian and other USSR camps, without sufficient food or shelter to protect his h ealth. This book contains his four papers in German and their English translations as well as some extendedcommentary on the history of Japan during those years. The book also contains 14 photos of him or his family. Although the veil of mystery surroundi ng Nakasawas life has only been partially lifted, the work presented in this bookspeaks eloquently of a tragic loss to the mathematical community
Note:Springer eBooks
Contents:The Life of Takeo Nakasawa
The Life of Takeo Nakasawa
South Manchurian Railway Company (19061945)
South Manchurian Railway Company (19061945)
The Road to the Fifteen Years War (19311945)
The Road to the Fifteen Years War (19311945)
The Fifteen Years War (19311945)
The Fifteen Years War (19311945)
Mathematics around Takeo Nakasawa
Mathematics around Takeo Nakasawa
Chronological Tables
Chronological Tables
Works of Takeo Nakasawa
Zur Axiomatik der linearen Abhngigkeit. I
Zur Axiomatik der linearen Abhngigkeit. II
Zur Axiomatik de
ISBN:9783764385736
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Mathematics_$xHistory
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Call number:SPRINGER-2009-9783540688327:ONLINE Show nearby items on shelf
Title:Historical Encyclopedia of Natural and Mathematical Sciences [electronic resource]
Author(s): Ari Ben-Menahem
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:This milestone extensive work combines the essentials of history biography, chronology, political and economic background with the observations, theories, principles, laws and equations that constitute the specifics ofscience. The 5800-page Encyclo pedia arises from the conviction that the optimal perspective on science is through the lens of history, setting aside traditional divisions of discipline and specialty, and rising above geopoliticalboundaries. Reaching from 4,200 BCE to the 21st century CE, the Encyclopedia relates (as the author himself puts it) not only who did it and when it was done but also precisely what was done. The author, Ari Ben-Menahem, surveys100 generations of great thinkers, offering 2070 detailed biographies of scientists , engineers, explorers and inventors, who left their mark on the history of science and technology. The span of coverage is all-encompassing:mathematics, philosophy, logic, physical and environmental sciences (including physics, chemistry, astronomy, eart h and space sciences and cosmology), life sciences (biology, medicine, physiology, botany, zoology and biochemistry),associated engineering disciplines, and the social sciences (among them economics, psychology, sociology, anthropology, linguistics and mo re). The six-volume Encyclopedia also includes 380 articles summarizing the time-line of ideas inthe leading fields of science, technology, mathematics and philosophy, plus useful tables, figures and photos, and 20 Science Progress Reports detailing scien tific setbacks. Interspersed throughout are quotations, gathered fromthe wit and wisdom of sages, savants and scholars throughout the ages from antiquity to modern times
Note:Springer eBooks
ISBN:9783540688327
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geography , Life sciences , Environmental sciences , Humanities
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Call number:SPRINGER-2007-9781846287916:ONLINE Show nearby items on shelf
Title:Mr Hopkins' Men [electronic resource] : Cambridge Reform and British Mathematics in the 19th Century
Author(s): Alex D. D Craik
Date:2007
Publisher:London : Springer London
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:The 19th century was a key period in the development of the mathematical sciences in Britain. Subjects such as rigid-body dynamics, hydrodynamics, elasticity, optics, heat, electricity and magnetism were extended and given firmerfoundations new areas of pure mathematics were explored and major advances took place in statistics, astronomy, geology and glaciology. The mid-19th century also brought dramatic changes to Cambridge University. Before 1850, the onlypathway to an honours degree was the Mathem atical Tripos - taken by all aspiring students whatever their destined careers - and the best teaching was provided by private tutors, the most renowned being the remarkable William Hopkins.This wide-ranging book tells the story of Hopkins and the educati on and subsequent careers of his top wranglers, many of whom went on to have illustrious careers as bishops, judges, politicians, scientists or educators. It draws onfirst-hand accounts of life at Cambridge to give the reader a glimpse inside its colleges , and it charts the evolution of the curriculum and the slow, often reluctant, reforms that led to Cambridges dominance of British highereducation. It surveys the scientific achievements of the time and considers the disproportionate contributions made by Scottish and Irish alumni in establishing a research community. Gradually, Cambridge was transformed from anear-moribund institution into a world-renowned centre for the mathematical and physical sciences. Many famous scientists and mathematicians are pr ofiled, among them G. Green, G.G. Stokes, J.C. Adams, W. Thomson (Lord Kelvin), A.Cayley and J.C. Maxwell, and many lesser-known figures too, including the first professors in Australia and the tutor to an Indian maharajah. In addition, and as a special h ighlight, Hopkins own collection of portraits of his topstudents, attributed to the artist T.C. Wageman, are published here in colour for the first time. Scholarly yet non-technical, t
Note:Springer eBooks
Contents:Part I: Educating the Elite
Introducing Hopkins and his Wranglers
The Student Experience 1820
1860
Cambridge University in Context
Teaching at Cambridge
William Hopkins
Hopkins Top Wranglers 1829
1854
Part II: Careers of the Wranglers
The Cambridge Stamp
The Growth of a Research Community
Achievements in the Mathematical Sciences
Wranglers at Home: Four Biographies
Wranglers Abroad: Churchmen and Educators in the Colonies
Postscript
ISBN:9781846287916
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Science History , Mathematics_$xHistory
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Call number:SPRINGER-2007-9781846286339:ONLINE Show nearby items on shelf
Title:Worlds Out of Nothing [electronic resource] : A Course in the History of Geometry in the 19th Century
Author(s): Jeremy Gray
Date:2007
Publisher:London : Springer London
Size:1 online resource
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Note:Springer 2013 e-book collections
Note:Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Based on the latest historical research, the book is aimed primarily at undergraduate and graduate students inmathematics but will also appeal to the reader with a general interest in the history of mathematics. Emphasis is placed on understanding the historical significance of the new mathematics: Why was it done? How - if at all - was itappreciated? What new questions did it generate? Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singularpoints of algebraic curves (Plckers equations) and their role in resolving a p aradox in the theory of duality to Riemanns work on differential geometry and to Beltramis role in successfully establishing non-Euclideangeometry as a rigorous mathematical subject. The final part of the book considers how projective geometry, as exempli fied by Kleins Erlangen Program, rose to prominence, and looks at Poincars ideas about non-Euclidean geometryand their physical and philosophical significance. It then concludes with discussions on geometry and formalism, examining the Italian contributio n and Hilberts Foundations of Geometry geometry and physics, with a look at some ofEinsteins ideas and geometry and truth. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the sub ject, advice on how to write essays, and comments on whatinstructors should be looking for. The Springer Undergraduate Mathematics Series (SUMS) is designed for undergraduates in the mathematical sciences. From core foundational material to final year top ics, SUMS books take a fresh andmodern approach and are ideal for self-study or for a one- or two-semester course. Each book includes numerous examples, problems and fully-w
Note:Springer eBooks
Contents:Mathematics in the French Revolution
Poncelet (and Pole and Polar)
Theorems in Projective Geometry
Poncelets Trait
Duality and the Duality Controversy
Poncelet, Chasles, and the Early Years of Projective Geometry
Euclidean Geometry, the Parallel Postulate, and the Work of Lambert and Legendre
Gauss (Schweikart and Taurinus) and Gausss Differential Geometry
Jnos Bolyai
Lobachevskii
Publication and Non
Reception up to 1855
On Writing the History of Geometry 1
Across the Rhine Mbiuss Algebraic Version of Projective Geometry
Plcker, H
ISBN:9781846286339
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Undergraduate Mathematics Series, 1615-2085
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Geometry , Mathematics_$xHistory
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Call number:SPRINGER-2007-9780387698106:ONLINE Show nearby items on shelf
Title:The Statistical Analysis of Recurrent Events [electronic resource]
Author(s): Richard J Cook
Jerald F Lawless
Date:2007
Publisher:New York, NY : Springer New York
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Recurrent event data arise in diverse fields such as medicine, public health, insurance, social science, economics, manufacturing and reliability. The purpose of this book is to present models and statistical methods for theanalysis of recurrent even t data. No single comprehensive treatment of these areas currently exists. The authors provide broad but detailed coverage of the major approaches to analysis, while also emphasizing the modeling assumptionsthat they are based on. Thus, they consider impo rtant models such as Poisson and renewal processes, with extensions to incorporate covariates or random effects. More general intensity-based models are also considered, as well assimpler models that focus on rate or mean functions. Parametric, nonparamet ric and semiparametric methodologies are all covered, with clear descriptions of procedures for estimation, testing and model checking. Important practicaltopics such as observation schemes and selection of individuals for study, the planning of randomize d experiments, events of several types, and the prediction of future events are considered. Methods of modeling and analysis areillustrated through many examples taken from health research and industry. The objectives and interpretations of different anal yses are discussed in detail, and issues of robustness are addressed. Statistical analysis of the examplesis carried out with S-PLUS software and code is given for some examples. This book is directed at graduate students, researchers, and applied statist icians working in industry, government or academia. Some familiarity with survivalanalysis is beneficial since survival software is used to carry out many of the analyses considered. This book can be used as a textbook for a graduate course on the analysi s of recurrent events or as a reference for a more generalcourse on event history analysis. Problems are given at the end of chapters to reinforce the material presented and to provide additional backgr
Note:Springer eBooks
Contents:Models and Frameworks for Analysis of Recurrent Events
Methods Based on Counts and Rate Functions
Analysis of Gap Times
General Intensity
Based Models
Multitype Recurrent Events
Observation Schemes Giving Incomplete or Selective Data
OtherTopics
ISBN:9780387698106
Series:e-books
Series:SpringerLink (Online service)
Series:Statistics for Biology and Health, 1431-8776
Series:Mathematics and Statistics (Springer-11649)
Keywords: Medicine , Epidemiology , Mathematical statistics , System safety , Econometrics , Social sciences Methodology
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Call number:SPRINGER-2006-9780387488097:ONLINE Show nearby items on shelf
Title:Restricted Parameter Space Estimation Problems [electronic resource] : Admissibility and Minimaxity Properties
Author(s): Constance Eeden
Date:2006
Publisher:New York, NY : Springer New York
Size:1 online resource
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Note:This monograph contains a critical review of 50 years of results on questions of admissibility and minimaxity of estimators of parameters that are restricted to closed convex subsets of Rk . It presents results of approximately300 mostly-published pa pers on the subject, and points out relationships between them as well as open problems. The book does not touch on the subject of testing hypotheses for such parameter spaces. It does give an overview of knownalgorithms for computing maximum likelihood e stimators under order-restrictions. The book should be valuable as a reference for researchers and graduate students looking for what is known and unknown in the area of restrictedparameter-space-estimation. It assumes a good knowledge of decision theory. Constance van Eeden is Professeur mrite at the Universit de Montral, Honorary Professor at The University of British Columbia, and Professeureassocie at the Universit du Qubec Montral. She previously held appointments at the Centrum voor Wiskunde en Inf ormatica (19511960), Michigan State University (19601961), University of Minnesota (19611965), andUniversit de Montral (19651989). She was a General Editor of Statistical Theory and Method Abstracts (19902004) and Associate Editor of the Annals of Statist ics (19741977), The Canadian Journal of Statistics (19801994)and Annales des sciences mathmatiques du Qubec (19861998). She is a reviewer for Mathematical Reviews and a member of the Noether Award Committee. The Statistical Society of Canada awarded her t heir Gold Medal in 1990 and theDpartement de mathmatiques et de statistique at the Universit de Montral named their yearly prize for the best-finishing undergraduate student in actuarial studies or statistics, the Prix Constance-van-Eeden. She is a Fellow ofthe Institute of Mathematical Statistics and of the American Statistical Association, and an Elected Member of the International Statistical
Note:Springer eBooks
Contents:Introduction: Some History and Some Examples
A Statement of the Problem, The Notation and Some Definitions
(In)Admissibility and Dominators
Minimax Estimators and their Admissibility
Presence of Nuisance Parameters
The Linear Model
Other Properties
Existence of the Mles and Algorithms to Compute Them
ISBN:9780387488097
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Statistics, 0930-0325 : v188
Series:Mathematics and Statistics (Springer-11649)
Keywords: Statistics , Mathematical statistics
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Call number:SPRINGER-2004-9783642971235:ONLINE Show nearby items on shelf
Title:Physics of the Earth’s Space Environment An Introduction
Author(s): Gerd W Prölss
Date:2004
Size:1 online resource (513 p.)
Note:10.1007/978-3-642-97123-5
Contents:1. Introduction -- 1.1 Definitions and Constraints -- 1.2 Scope and Organization of the Material -- 1.3 Brief History of Space Research -- 2. Neutral Upper Atmosphere -- 2.1 State Parameters of Gases and their Gas Kinetic
Interpretation -- 2.2 Height Profiles of the State Parameters -- 2.3 Barospheric Density Distribution -- 2.4 Exospheric Density Distribution -- 3. Absorption of Solar Radiation Energy -- 3.1 Origin and Characteristics of Solar
Radiation -- 3.2 Extinction of Solar Radiation in the Upper Atmosphere -- 3.3 Heating and Temperature Profile -- 3.4 Thermospheric Winds -- 3.5 Atmospheric Waves -- 4. Ionosphere -- 4.1 Height Profile of Ionospheric State Parameters --
4.2 Ionization Production and Loss -- 4.3 Density Profile in the Lower Ionosphere -- 4.4 Density Profile in the Upper Ionosphere -- 4.5 Density Maximum and Ionospheric Time Constants -- 4.6 Systematic Variations of the Ionization
Density -- 4.7 Radio waves in the Ionosphere -- 5. Magnetosphere -- 5.1 Fundamentals -- 5.2 The Geomagnetic Field Near the Earth -- 5.3 Charged Particle Motion in the Geomagnetic Field -- 5.4 Particle Populations in the Inner
Magnetosphere -- 5.5 The Distant Geomagnetic Field -- 5.6 Particle Populations in the Outer Magnetosphere -- 5.7 Magnetoplasma Waves in the Magnetosphere -- 6. Interplanetary Medium -- 6.1 The Solar Wind -- 6.2 Interplanetary Magnetic
Field -- 6.3 Magnetoplasma Waves in the Interplanetary Medium -- 6.4 Modification of the Solar Wind by the Bow Shock -- 6.5 Interaction of the Solar Wind with the Interstellar Medium -- 6.6 Energetic Particles in Interplanetary Space
-- 7. Absorption and Dissipation of Solar Wind Energy -- 7.1 Topology of the Polar Upper Atmosphere -- 7.2 Electric Fields and Plasma Convection -- 7.3 Ionospheric Conductivity and Currents -- 7.4 Aurorae -- 7.5 Neutral Atmospheric
Effects -- 7.6 Energy Transfer from Solar Wind to Magnetosphere -- 8. Geospheric Storms -- 8.1 Magnetic Storms -- 8.2 Auroral Substorms -- 8.3 Magnetospheric Substorms -- 8.4 Thermospheric Storms -- 8.5 Ionospheric Storms -- 8.6 The
Sun as the Origin of Geospheric Storms -- 8.7 Disturbance Effects on Technological Systems -- A. Formulas, Tables and Derivations -- A.l Selected Mathematical Formulas -- A.2 Physical Parameters of the Earth -- A.3 Planetary Data --
A.4 Model Atmosphere -- A.5 Diffusion Equation for Gases -- A.6 Derivation of the Momentum Balance Equation -- A.7 Energy Balance Equation of an Adiabatic Gas Flow -- A.8 Bernoulh Equation -- A.9 Rankine-Hugoniot Equations -- A.10
Maxwell Equations -- A. 11 Curvature of a Dipole Field Line -- A. 12 Gradient Drift Velocity -- A. 13 System of Equations for Ideal Magnetoplasmadynamics -- A.13.1 Balance Equations of a Magnetoplasma -- A. 13.2 Maxwell Equations and
the Generahzed Ohm’s Law -- A. 13.3 Validity Test of the Approximations -- A. 14 Two Theorems of Magnetoplasmadynamics -- A. 15 Magnetoplasma Waves -- A.15.1 Simplification of the System of Equations -- A.15.2 Wave Propagation Parallel
to a Magnetic Field -- A. 15.3 Wave Propagation Perpendicular to a Magnetic Field -- A.15.4 Validity Test of the Approximations -- A.16 Plasma Instabilities -- B. Figure and Table References
ISBN:9783642971235
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Geophysics , Atmospheric sciences , Space sciences , Physics , Extraterrestrial Physics, Space Sciences , Geophysics/Geodesy , Atmospheric Sciences
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Call number:SPRINGER-2004-9783642189081:ONLINE Show nearby items on shelf
Title:The Legacy of Niels Henrik Abel The Abel Bicentennial, Oslo, 2002
Author(s):
Date:2004
Size:1 online resource (784 p.)
Note:10.1007/978-3-642-18908-1
Contents:The Legacy of Niels Henrik Abel -- Opening address The Abel Bicentennial Conference University of Oslo, June 3, 2002 -- The Life of Niels Henrik Abel -- The Work of Niels Henrik Abel -- The Legacy of Abel in Algebraic Geometry --
Solving Quintics by Radicals -- From Abel to Kronecker: Episodes from 19th Century Algebra -- On the History of the Artin Reciprocity Law in Abelian Extensions of Algebraic Number Fields: How Artin was Led to his Reciprocity Law -- The
Italian School of Algebraic Geometry and Abel’s Legacy -- From Abel’s Heritage: Transcendental Objects in Algebraic Geometry and Their Algebraization -- What is Abel’s Theorem Anyway? -- On Abel’s Hyperelliptic Curves -- Formal
Deformation of Chow Groups -- An Analogue of Abel’s Theorem -- Arithmetic Questions Related to Rationally Connected Varieties -- Hyperbolicity in Complex Geometry -- Abel-Radon Transform and Applications -- Abel Transform and Integral
Geometry -- Abel’s Inverse Problem and Inverse Scattering -- Residues and D-modules -- Algebraic Equations and Hypergeometric Series -- Dirichlet Series and Functional Analysis -- Real Multiplication and Noncommutative Geometry -- On
the Quantum Cohomology of Homogeneous Varieties -- Quantum Principal Bundles up to Homotopy Equivalence -- Non-commutative Crepant Resolutions -- Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra
ISBN:9783642189081
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebraic geometry , Mathematical analysis , Analysis (Mathematics) , Functional analysis , Differential equations , Partial differential equations , History , Mathematics , Algebraic Geometry , Analysis , Functional Analysis , History of Mathematical Sciences , Ordinary Differential Equations , Partial Differential Equations
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Call number:SPRINGER-2004-9783642185861:ONLINE Show nearby items on shelf
Title:Dreams of Calculus Perspectives on Mathematics Education
Author(s): Johan Hoffman
Date:2004
Size:1 online resource (162 p.)
Note:10.1007/978-3-642-18586-1
Contents:I Perspectives -- 1 Introduction -- 2 What? How? For Whom? Why? -- 3 A Brief History of Mathematics Education -- 4 What is Mathematics? -- 5 Virtual Reality and the Matrix -- 6 Mountain Climbing -- 7 Scientific Revolutions -- 8
Education is Based on Science -- 9 The Unreasonable Effectiveness of Mathematics the Natural Sciences? -- 10 Do We live in “The Best of Worlds”? -- 11 The Reasonable Effectiveness Computational Mathematics -- 12 Jazz/Pop/Folk vs.
Classical Music -- 13 The Right to Not Know -- 14 An Agenda -- II Essence -- 15 A Very Short Calculus Course -- 16 The Solar System -- 17 Turbulence and the Clay Prize -- 18 Do Mathematicians Quarrel? -- III Appendix -- A Comments on
the Directives of the Mathematics Delegation -- A.1 The Directives -- A.2 Comments -- A.3 A Sum Up -- B Preface to Body&Soul -- C Public Debate
ISBN:9783642185861
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Mathematical analysis , Analysis (Mathematics) , Computer mathematics , Physics , Computational intelligence , Mathematics , Mathematics, general , Analysis , Computational Mathematics and Numerical Analysis , Mathematical Methods in Physics , Computational Intelligence
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Call number:SPRINGER-2004-9783642185625:ONLINE Show nearby items on shelf
Title:Constantin Carathéodory Mathematics and Politics in Turbulent Times
Author(s): Maria Georgiadou
Date:2004
Size:1 online resource (651 p.)
Note:10.1007/978-3-642-18562-5
Contents:1 Origin and Formative Years -- Chapterchapter 2 Academic Career in Germany -- 3 The Asia-Minor Project -- 4 A Scholar of World Reputation -- 5 National Socialism and War -- 6 The Final Years -- Epilogue -- Appendix I Some
Explanations concerning the Text -- Appendix II A Short Biographical Sketch of the Carathéodory Family -- Appendix III Chronology -- Appendix IV Carathéodory’s Fields of Study and Contributions bearing his Name -- Appendix V A List of
Carathéodory’s Students -- Notes -- Bibliography 601 -- Name Index -- Geographic Index -- Index of Mathematical and Physical Subjects -- Index of Academic Organisations and Institutions -- Some Views of Munich and Ludwig-Maximilian
University
ISBN:9783642185625
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Mathematics , History of Mathematical Sciences
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Call number:SPRINGER-2004-9783034879514:ONLINE Show nearby items on shelf
Title:Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems Controlling • Managing • Organizing
Author(s):
Date:2004
Size:1 online resource (246 p.)
Note:10.1007/978-3-0348-7951-4
Contents:I Mathematical Methods and Technological Thought: Historical Aspects -- 1 Mathematical Methods in Preindustrial Technology and Machines -- 2 Organization and Mathematics: A Look into the Prehistory of Industrial Engineering Ana Millön
Gasca -- 3 Technological Innovation and New Mathematics: van der Pol and the Birth of Nonlinear Dynamics -- 4 Trasferring Formal and Mathematical Tools from War Management to Political, Technological, and Social Intervention
(1940-1960) -- II Technological Knowledge and Mathematical Models in the Analysis, Planning, and Control of Modern Engineering Systems -- 5 Technological Concepts and Mathematical Models in the Evolution of Control Engineering -- 6
Feedback: A Technique and a “Tool for Thought” -- 7 Adequacy of Mathematical Models in Control Theory, Physics, and Environmental Science -- 8 The Development of Systems Science: Concepts of Knowledge as Seen from the Western and
Eastern Perspective -- 9 Coping With Complexity in the Management of Organized Systems -- Index of Names -- Authors
ISBN:9783034879514
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Applied mathematics , Engineering mathematics , Mechanics , Mechanics, Applied , Mathematics , History of Mathematical Sciences , Appl.Mathematics/Computational Methods of Engineering , Theoretical and Applied Mechanics , Mathematics, general
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Call number:SPRINGER-2004-9783034879170:ONLINE Show nearby items on shelf
Title:Modern Algebra and the Rise of Mathematical Structures Second revised edition
Author(s): Leo Corry
Date:2004
Size:1 online resource (452 p.)
Note:10.1007/978-3-0348-7917-0
Contents:Introduction: Structures in Mathematics -- One: Structures in the Images of Mathematics -- 1 Structures in Algebra: Changing Images -- 2 Richard Dedekind: Numbers and Ideals -- 3 David Hilbert: Algebra and Axiomatics -- 4 Concrete and
Abstract: Numbers, Polynomials, Rings -- 5 Emmy Noether: Ideals and Structures -- Two: Structures in the Body of Mathematics -- 6 Oystein Ore: Algebraic Structures -- 7 Nicolas Bourbaki: Theory ofStructures -- 8 Category Theory: Early
Stages -- 9 Categories and Images of Mathematics -- Author Index
ISBN:9783034879170
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Algebra , History , Mathematics , History of Mathematical Sciences , Algebra
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Call number:SPRINGER-2004-9781475743128:ONLINE Show nearby items on shelf
Title:The Arithmetic of Infinitesimals
Author(s): John Wallis
Date:2004
Size:1 online resource (192 p.)
Note:10.1007/978-1-4757-4312-8
Contents:To the most Distinguished and Worthy gentleman and most Skilled Mathematician, Dr William Oughtred, Rector of the church of Aldbury in the Country of Surrey -- To the Most Respected Gentleman Doctor William Oughtred, most widely famed
amongst mathematicians, by John Wallis, Savilian Professor of Geometry at Oxford -- Doctor William Oughtred: A Response to the preceding letter (after the book went to press). In which he makes it known what he thought of that method
-- The Arithmetic of Infinitesimals or a New Method of Inquiring into the Quadrature of Curves, and other more difficult mathematical problems
ISBN:9781475743128
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , History , Number theory , Mathematics , History of Mathematical Sciences , Number Theory
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Call number:SPRINGER-2004-9781475742176:ONLINE Show nearby items on shelf
Title:Pi: A Source Book
Author(s): Lennart Berggren
Date:2004
Edition:Third Edition
Size:1 online resource (797 p.)
Note:10.1007/978-1-4757-4217-6
Contents:Preface -- Acknowledgements -- Introduction -- The Rhind Mathematical Papyrus-Problem 50 -- Engles. Quadrature of the Circle in Ancient Egypt -- Archimedes. Measurement of a Circle -- Phillips. Archimedes the Numerical Analyst -- Lam
& Ang. Circle Measurements in Ancient China -- The Banu Musa: The Measurement of Plane and Solid Figures -- Madhava's. The Power Series for Arctan and Pi -- Hope-Jones. Ludolph van Ceulen -- Viete. Variorum de Revus Mathematicis
Reponsorum Liber VII -- Wallis. Computation of Pi by Successive Interpolations -- Wallis. Arithmetica Infinitorum -- Huygens. De Circuli Magnitudine Inventa -- Gregory. Correspondence with John Collins -- Jones. The First Use of Pi for
the Circle Ratio -- Newton. Of The Method of Fluxions and Infinite Series -- Euler. Chapter 10 of Introduction to Analysis of the Infinite -- Lambert. Mémoire Sur Quelques Proprietés Remarquables Des Quantités Transcendentes
Circulaires et Logarithmiques -- Lambert. Irrationality of Pi -- Shanks. Contributions to Mathematics Comprising Chiefly of the Rectification of the Circle to 607 Places of Decimals -- Hermite. Sur La Fonction Exponentielle
ISBN:9781475742176
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Functions of real variables , Numerical analysis , History , Number theory , Mathematics , History of Mathematical Sciences , Real Functions , Numerical Analysis , Number Theory
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