1.
ＥＢ
edited by Fulvia Skof
2.
ＥＢ
edited by Ciro Ciliberto, Roberto Lucchetti
3.
ＥＢ
by Laura Catastini, Franco Ghione
4.
ＥＢ
by Steven G. Krantz
5.
ＥＢ
edited by Kim Williams
6.
ＥＢ
by K. Ramasubramanian, M.S. Sriram
7.
ＥＢ
by Vladimir P. Vizgin
8.
ＥＢ
by Enrique A. González-Velasco
9.
ＥＢ
by Dirk Dalen
10.
ＥＢ
by Michèle Audin
11.
ＥＢ
by Michael N. Fried
出版情報:
New York, NY : Springer Science+Business Media, LLC, 2011
シリーズ名:
Sources and Studies in the History of Mathematics and Physical Sciences ;
子書誌情報:
loading…
オンライン:
http://dx.doi.org/10.1007/978-1-4614-0146-9
所蔵情報:
loading…
12.
ＥＢ
by Felix Klein, Arnold Sommerfeld
13.
ＥＢ
by John M. Steele
14.
ＥＢ
by Mathieu Ossendrijver
15.
ＥＢ
edited by Ralf Krömer, Yannick Chin-Drian
16.
ＥＢ
edited by Salvatore Coen
17.
ＥＢ
by Alexander Ostermann, Gerhard Wanner
18.
ＥＢ
by Władysław Narkiewicz
19.
ＥＢ
by Audun Holme
20.
ＥＢ
by Philip J. Davis, Reuben Hersh, Elena Anne Marchisotto
21.
ＥＢ
by Israel Kleiner
22.
ＥＢ
edited by Christoph Lehner, Jürgen Renn, Matthias Schemmel
23.
ＥＢ
by Ferdinand Verhulst
目次情報:
続きを見る
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
Poincaré
Historical data and biographical details
References
Index.-
The early years
Academic education, 1873-1879
Impressive results in Vesoul and Caen
24.
ＥＢ
edited by Birgit Bergmann, Moritz Epple, Ruti Ungar
25.
ＥＢ
by John Barnes
目次情報:
続きを見る
1 The Golden Number
2 Shapes and Solids
3 The Forth Dimension
4 Projective Geometry
5 Topology
6 Bubbles
7 Harmony of the Spheres
8 Chaos and Fractals
9 Relativity
10 Finale
A More on Four
B Crystals
C Stability
D Stereo Images
E Schlegel Images
F Stability
G Fanoland
Bibliography
Index
1 The Golden Number
2 Shapes and Solids
3 The Forth Dimension
26.
ＥＢ
by Dirk Dalen
目次情報:
続きを見る
Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
The New Topology
Making a Career
The War Years
Mathematics after the War
Politics and Mathematics
The Breakthrough
The Fathers of Dimension
Progress, Recognition, and Frictions
From Berlin to Vienna
The Three Battles
The Thirties
War and Occupation
Post-War Events
The Restless Emeritus
Child and Student
Mathematics and Mysticism
The Dissertation.-Cantor-Schoenflies Topology
27.
ＥＢ
by Steven G. Krantz, Harold R. Parks
目次情報:
続きを見る
Preface
Introduction to the Implicit Function Theorem
History
Basic Ideas
Applications
Variations and Generalizations
Advanced Implicit Function Theorems
Glossary
Bibliography
Index
Preface
Introduction to the Implicit Function Theorem
History
28.
ＥＢ
by Béla Bajnok
目次情報:
続きを見る
Preface to Instructors
Preface to Students
Acknowledgments
I What's Mathematics
1 Let's Play a Game!
2 What's the Name of the Game?
3 How to Make a Statement?- 4 What's True in Mathematics?
5 Famous Classical Theorems
6 Recent Progress in Mathematics
II How to Solve It?
7 Let's be Logical!
8 Setting Examples
9 Quantifier Mechanics
10 Mathematical Structures
11 Working in the Fields (and Other Structures)
12 Universal Proofs
13 The Domino Effect
14 More Domino Games
15 Existential Proofs
16 A Cornucopia of Famous Problems
III Advanced Math for Beginners
17 Good Relations
18 Order, Please!
19 Let's be Functional!
20 Now That's the Limit!
21 Sizing It Up
22 Infinite Delights
23 Number Systems Systematically
24 Games Are Valuable!
IV. Appendices
A. Famous Conjectures in Mathematics
B The Foundations of Set Theory
C All Games Considered
D Top 40 List of Math Theorems. - Index
Preface to Instructors
Preface to Students
Acknowledgments
29.
ＥＢ
by Angelo Guerraggio, Giovanni Paoloni
目次情報:
続きを見る
I. Chronicles of Italian life
II. Professor in Pisa
III. The cats of Torino
IV. Rome, public appointments, the politician
V. Days of firing from a dirigible
VI. From war to peace: Italy’s National Research Council
VII. The end of freedom
VIII. After the cats, fish
IX. Time runs out
Appendix I: Significant dates in Italian history 1849-1945
Appendix II: Significant dates in the life of Vito Volterra 1860-1940
Index of Names
I. Chronicles of Italian life
II. Professor in Pisa
III. The cats of Torino
30.
ＥＢ
edited by Eberhard Knobloch, Hikosaburo Komatsu, Dun Liu
目次情報:
続きを見る
Part I Contributed papers
Seki Takakazu, His Life and Bibliography
Some Reflections on Main Lines of Mathematical Development
Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322
Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties
The Nine Chapters on the Mathematical Procedures and Liu Hui’s Mathematical Theory
On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon
A Comparative Study on Traditional Mathematics of Korea and Japan
The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models
The Suanxue Qimeng and Its Influence on Japanese Mathematics
Power Series Expansions in India Around A. D. 1400
An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami’s Study of the Vietnamese Mathematical Treatise Chi Minh Toan Phap
The Jinkōki of Yoshida Mitsuyoshi
Résumé of Works on Mathematics of Seki Takakazu
Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres
Seki Takakazu’s Method on the Remainder Problem
Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object
Leibniz’s Theory of Elimination and Determinants
Algebra, Elimination and the Complete Book of Mathematics
Some Questions and Observations Around the Mathematics of Seki Takakazu
Ming Antu and His Power Series Expansions
Standing on the Shoulders of the Giant Influence of Seki Takakazu on Takebe Katahiro’s Mathematical Achievements
Takebe Katahiro’s Algorithms for Finding the Circular Arc Length
The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei
Manuscripts in the Edo Period: Preliminary Study on Manuscripts Written by Seki Takakazu
Influence of European Mathematics on Pre-Meiji Japan
On Contemporary Mathematics in Vietnam
Part II Supplements
Notes on Complete Book of Mathematics Vol. 4: Three Essentials
Complete Book of Mathematics Vol. 4: Three Essentials, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Fumiaki Ozaki and Hikosaburo Komatsu
Seki’s Trilogy: Methods of Solving Explicit Problems, Methods of Solving Implicit Problems and Methods of Solving Concealed Problems
Methods of Solving Explicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu
Methods of Solving Implicit Problems, by Seki Takakazu, collated by Hikosaburo Komatsu
Methods of Solving Concealed Problems, by Seki Takakazu, collated by Hikosaburo Komatsu
Notes on Complete Book of Mathematics Vol. 10: Geometry
Complete Book of Mathematics Vol. 10: Geometry, by Seki Takakazu, Takebe Kataakira and Takebe Katahiro, collated by Hikosaburo Komatsu
Seki’s Theory of Elimination as Compared with the Others’
Part I Contributed papers
Seki Takakazu, His Life and Bibliography
Some Reflections on Main Lines of Mathematical Development
31.
ＥＢ
by Krishnaswami Alladi
目次情報:
続きを見る
Foreword (by George Andrews)
Preface
Part I: Ramanujan and other mathematical luminaries
Chapter 1: Ramanujan - an estimation
Chapter 2: Ramanujan - the second century
Chapter 3: L. J. Rogers - a contemporary of Ramanujan
Chapter 4: P. A. MacMahon - Ramanujan's distinguished contemporary
Chapter 5: Fermat and Ramanujan - a comparison
Chapter 6: J. J. Sylvester - Ramanujan's illustrious predecessor
Chapter 7: Erdos and Ramanujan - legends of twentieth century mathematics
Chapter 8: C. G. J. Jacobi - algorist par-excellence
Chapter 9: Evariste Galois - founder of group theory
Chapter 10: Leonhard Euler - most prolific mathematician in history
Chapter 11: G. H. Hardy - Ramanujan's mentor
Chapter 12: J. E. Littlewood - Ramanujan's contemporary and Hardy's collaborator
Chapter 13: Neils Henrik Abel - Norwegian mathematical genius
Chapter 14: Issai Schur - Ramanujan's German contemporary
Chapter 15: Robert Rankin - Scottish link with Ramanujan
Part II: On some aspects of Ramanujan's mathematics
Chapter 16: Ramanujan and pi
Chapter 17: Ramanujan and partitions
Chapter 18: Major progress on a problem of Ramanujan
Part III: Reviews
Chapter 19: Review of “Srinivasa Ramanujan: The Lost Notebook and other unpublished papers”
Chapter 20: Review of “The man who knew infinity - book by Robert Kanigel”
Chapter 21: Review of “Ramanujan: Letters and Commentary - book by Bruce Berndt and Robert Rankin”
Chapter 22: Review of “Ramanujan: Essays and Surveys - book by Bruce Berndt and Robert Rankin”
Chapter 23: Review of “Partitions - a play on Ramanujan”
Part IV: Preserving Ramanujan's legacy
Chapter 24: The Ramanujan Journal - its conception, need and place
Chapter 25: A pilgrimage to Ramanujan's hometown
Chapter 26: The first SASTRA Ramanujan prizes
Chapter 27: Ramanujan's growing influence
Index
Foreword (by George Andrews)
Preface
Part I: Ramanujan and other mathematical luminaries
32.
ＥＢ
by M. Ram Murty, V. Kumar Murty
目次情報:
続きを見る
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
Chapter 3. Ramanujan’s conjecture and l-adic representations
Chapter 4. The Ramanujan conjecture from GL(2) to GL(n)
Chapter 5. The circle method
Chapter 6. Ramanujan and transcendence
Chapter 7. Arithmetic of the partition function
Chapter 8. Some nonlinear identities for divisor functions
Chapter 9. Mock theta functions and mock modular forms
Chapter 10. Prime numbers and highly composite numbers
Chapter 11. Probabilistic number theory
Chapter 12. The Sato-Tate conjecture for the Ramanujan tau-function
Bibliography
Index
Preface
Chapter 1. The Legacy of Srinivasa Ramanujan
Chapter 2. The Ramanujan tau function
33.
ＥＢ
edited by Peter Duren, Lawrence Zalcman
目次情報:
続きを見る
Part 1. Publications of M. M. Schiffer
Doctoral Students of M. M. Schiffer
Chronology of M. M. Schiffer
Part 2. Personal Reminiscences
Paul R. Garabedian, “Recollections of Menahem Max Schiffer”
Robert Finn, “Memories of Menahem Schiffer”
Peter Duren, “Working with Max Schiffer”
Lawrence Zalcman, “Memories of Max Schiffer”
Dennis Hejhal, “Some Reminiscences of My Thesis Advisor, Max Schiffer”
Dov Aharonov, “Max Schiffer at the Technion”
Steven R. Bell, “M. M. Schiffer, Explorer”
Part 3. Selected Papers
Ein neuer Beweis des Endlichkeitssatzes f¨ur Orthogonalinvarianten
Commentary by Lawrence Zalcman
Sur un principe nouveau pour l’´evaluation des fonctions holomorphes
Commentary by Peter Duren
Sur un probl`eme d’extr´emum de la repr´esentation conforme
A method of variation within the family of simple functions
On the coefficients of simple functions
Sur un th´eor`eme de la repr´esentation conforme
Sur la variation de la fonction de Green de domaines plans quelconques
Sur la variation du diam`etre transfini
Variation of the Green function and theory of the p-valued functions
The span of multiply connected domains
Commentary by Brad Osgood
Sur l’´equation diff´erentielle de M. L¨owner
Hadamard’s formula and variation of domain-functions
The kernel function of an orthonormal system
Commentary by Dmitry Khavinson
(with S. Bergman) A representation of Green’s and Neumann’s functions in the theory of partial differential equations of second order
(with S. Bergman) Kernel functions in the theory of partial differential equations of elliptic type
Faber polynomials in the theory of univalent functions
(with P. R. Garabedian) Identities in the theory of conformal mapping
(with A. C. Schaeffer and D. C. Spencer) The coefficient regions of schlicht functions
(with P. R. Garabedian) On existence theorems of potential theory and conformal mapping
(with S. Bergman) Kernel functions and conformal mapping
Variational methods in the theory of conformal mapping
[44] (with P. R. Garabedian and H. Lewy) Axially symmetric cavitational flow
Commentary by Louis Nirenberg
Variation of domain functional
(with P. R. Garabedian) A coefficient inequality for schlicht functions
Part 1. Publications of M. M. Schiffer
Doctoral Students of M. M. Schiffer
Chronology of M. M. Schiffer
34.
ＥＢ
by Ernst Zermelo ; edited by Heinz-Dieter Ebbinghaus, Akihiro Kanamori
出版情報:
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名:
Schriften der Mathematisch-naturwissenschaftlichen Klasse der Heidelberger Akademie der Wissenschaften ; 23
子書誌情報:
loading…
オンライン:
http://dx.doi.org/10.1007/978-3-540-70856-8
所蔵情報:
loading…
目次情報:
続きを見る
Ernst Zermelo’s curriculum vitae by Heinz-Dieter Ebbinghaus
Zermelo 1894
Zermelo 1896a
Boltzmann 1896
Zermelo 1896b
Boltzmann 1897
Zermelo 1899a
Zermelo s1899b
Zermelo 1900
Zermelo 1902a
Zermelo s1902b
Zermelo s1902c
Zermelo 1902d
Zermelo 1904a
Hahn and Zermelo 1904
Zermelo 1906
Riesenfeld and Zermelo 1909
Zermelo 1928
Zermelo 1930c
Zermelo 1931a
Zermelo 1933a
Bibliography
Index
Ernst Zermelo’s curriculum vitae by Heinz-Dieter Ebbinghaus
Zermelo 1894
Zermelo 1896a
35.
ＥＢ
edited by Peter Duren, Lawrence Zalcman
目次情報:
続きを見る
Part 4: Reprints
The Fredholm eigen values of plane domains
Fredholm eigen values of multiply-connected domains
Fredholm eigenvalues and conformal mapping
Fredholm eigenvalues and Grunsky matrices
Commentary by Reiner K¨uhnau
(with G. P´olya) Sur la repr´esentation conforme de l’ext´erieur d’une courbe ferm´ee convexe
Commentary by Peter Duren
Extremum problems and variational methods in conformal mapping
(with Z. Charzy´nski) A new proof of the Bieberbach conjecture for the fourth Coefficient
(with P. L. Duren) A variational method for functions schlicht in an annulus
(with B. Epstein) On the mean-value property of harmonic functions
Commentary by Lawrence Zalcman
(with N. S. Hawley) Half-order differentials on Riemann surfaces
Commentary by John Fay
(with P. R. Garabedian) The local maximum theorem for the coefficients of univalent functions
Some distortion theorems in the theory of conformal mapping
(with G. Schober) An extremal problem for the Fredholm eigenvalues
(with G. Schober) A remark on the paper “An extremal problem for the Fredholm eigenvalues”
(with G. Schober) A variational method for general families of quasiconformal mappings
Commentary by Reiner Kühnau
(with J. Hersch and L. E. Payne) Some inequalities for Stekloff eigenvalues
Commentary by Bodo Dittmar
(with J. A. Hummel) Variational methods for Bieberbach-Eilenberg functions and for pairs
Commentary by Dov Aharonov
(with J. A. Hummel and B. Pinchuk) Bounded univalent functions which cover a fixed disc
Commentary by Bernard Pinchuk
(with G. Schober) The dielectric Green’s function and quasiconformal mapping
Commentary by Brad Osgood
(with A. Chang and G. Schober) On the second variation for univalent functions
(with D. Aharonov and L. Zalcman) Potato kugel
(with P. L. Duren and Y. J. Leung) Support points with maximum radial angle
(with P. L. Duren) Univalent functions which map onto regions of given transfinite diameter
(with P. L. Duren) Robin functions and distortion of capacity under conformal mapping
Issai Schur: Some personal reminiscences
Part 4: Reprints
The Fredholm eigen values of plane domains
Fredholm eigen values of multiply-connected domains
36.
ＥＢ
edited by Alexander Karp, Gert Schubring
目次情報:
続きを見る
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 Different Regions: Pre-Modern Period
7.Mathematics Education in Europe in the Pre-Modern Period
8.Mathematics Education in East Asia in the Pre-modern Period
9.Mathematics Education in the Americas in the Pre-Modern Period
Part 4.Mathematics Education in Different Epochs and in Different Regions: Modern Period
10.Secondary School Mathematics Teaching in Italy from the Early Nineteenth Century to the Mid-Twentieth Century
11.Mathematics Education in France: 1800-1980
12.Mathematics Education in Germany (Modern Times)
13.Mathematics Education in the United Kingdom
14.Mathematics Education in Spain and Portugal
15.Mathematics Education in Russia
16.Mathematics Education in the United States and Canada
17.Mathematics Education in Latin America
18.Mathematics Education in Modern Asia
19.Mathematics Education in Africa
20.Mathematics Education in Islamic Countries in the Modern Time: Case Study of Tunisia
Part 5.History of Teaching Mathematical Subjects in School
21.History of Teaching Arithmetic
22.Notes for a History of the Teaching of Algebra
23.History of Teaching Geometry
24.History of Teaching Calculus
25.History of Teaching Vocational Mathematics
26.Mathematics Teaching Practices
Part 6.Issues and Processes Across Borders
27.History of International Cooperation in Mathematics Education
28.History of Tools and Technologies in Mathematics Education
29.History of Mathematics Teacher Education
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
37.
ＥＢ
edited by Giorgio Giorgi, Tinne Hoff Kjeldsen
目次情報:
Preface and Acknowledgements
Introductory Chapter: A Historical View of Nonlinear Programming: Traces and Emergence
18 historical articles
Preface and Acknowledgements
Introductory Chapter: A Historical View of Nonlinear Programming: Traces and Emergence
18 historical articles
38.
ＥＢ
edited by Günther Frei, Franz Lemmermeyer, Peter J. Roquette
目次情報:
続きを見る
Part I: Introduction to the Correspondence
1. Introduction
2. Emil Artin, his Life and his Work
3. Reminiscing Helmut Hasse
4. Reciprocity Laws for Power Residues
5. Class Field Theory
6. Time Table
Part II: The Letters. References
Name Index
Subject Index
Part I: Introduction to the Correspondence
1. Introduction
2. Emil Artin, his Life and his Work
39.
ＥＢ
by Vladimir Maz'ya
目次情報:
続きを見る
Foreword
The beginning
The time of peace is over
My mother’s story
My father’s story
In Sverdlovsk
Back to Leningrad
Crime without punishment
Even the sun has spots
It is so difficult to become an “A” student
The importance of being an “A” student
Slingshots
Illnesses
“Physcult” and sports
A sharp kid
Foreign languages
My interests
Poetry
Fimka
The first place in the District!
The indecent topic
My circle of reading
I chose mathematics
A circle at the Palace of Pioneers
Two lectures for the school teachers
The English teacher
Arkady Alexeev
Alexeev’s story
Vanity of vanities, all is vanity.-You cannot live without the women. No!
The first Mathmech year
Student contests
We lead our life in major key
A mysterious ID
Musical moments
Valery Maisky
The authorities did not like me
How did I not become a dissident
Misha Danilov
Fractional derivatives
Student Scientific Society (SSS) and Tseitin
“Quasi-publication” and S. M. Lozinsky
The Mathmech choir
My doubts and S. G. Mikhlin’s advice
A few words about Mikhlin The virgin soil
Bakelman’s special course
Job placement
Siegfried
Steel sheets and YMS
Possibility and reality
Defense at the Moscow State University
Defense at the Leningrad University
About V.I. Smirnov
An order: scatter the composed type
About the “Big Seminar”
After the defense of the Doctor’s degree dissertation
Non-travels to foreign countries
Counterexamples to the Hilbert problem
Talent
Farewell, my young years!
Under close surveillance?
Foreword
The beginning
The time of peace is over
40.
ＥＢ
edited by Nathan Sidoli, Glen Van Brummelen
目次情報:
続きを見る
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 Heron’s Formula for the Area of a Triangle
Reading the Lost Folia of the Archimedean Palimpsest
Acts of geometrical construction in the Spherics of Theodosios
Archimedes Among the Ottomans
The “Second” Arabic Translation of Theodosius’ Sphaerica
More Archimedean than Archimedes: A New Trace of Abū Sahl al-Kūhī’s work in Latin
Les mathématiques en Occident musulman
Ibn al-Raqqām’s al-Zīj al-Mustawfī in MS Rabat National Library 2461
An Ottoman astrolabe full of surprises
Un algébriste arabe: Abū Kāmil Šuǧāc ibn Aslam
Abū Kāmil’s Book on Mensuration
Hebrew Texts on the Regular Polyhedra
A Treatise by Bīrūnī on the Rule of Three and its Variations
Safavid Art, Science, and Courtly Education in the Seventeenth Century
Translating Playfair’s Geometry into Arabic
History of Greek Mathematics
Mathematical Reconstructions Out, Textual Studies in
Research on Ancient Greek Mathematical Sciences
41.
ＥＢ
by Johan C.-E. Stén
目次情報:
続きを見る
1 Setting the scene
2 The humble beginnings
3 New prospects in Saint Petersburg
4 Formation of an Academician
5 Professor of astronomy
6 Professional relations and correspondence
7 Academic events in Saint Petersburg
8 Lexell’s work in mathematics
9 Academic Journey 1780–1781
10 Return to an Academy in crisis
12 A sketch of Lexell’s personality
13 Conclusion
14 Appendices
1 Setting the scene
2 The humble beginnings
3 New prospects in Saint Petersburg
42.
ＥＢ
by Paolo Rocchi
目次情報:
続きを見る
1 Interpretations of Probability
2 A Mathematical Approach to the Interpretation Problem
3 Probability Validation
4 About the Compatibility of Methods
5 Criticism on the Philosophical Pollution
6 Some Remarks on the Argument of Probability
7 Classical Modeling of the Probability Argument
8 Structural Modeling of the Probability Argument
9 Mathematical Definitions of Probability on the Basis of the Structural Model
10 Exploring into the Essence of Events.
1 Interpretations of Probability
2 A Mathematical Approach to the Interpretation Problem
3 Probability Validation
43.
ＥＢ
by Robert E. O'Malley
目次情報:
続きを見る
Preface
Ludwig Prandtl's Boundary Layer Theory
Asymptotic Approximations
The Method of Matches Asymptotic Expansions and Its Generalizations
Wendepunkts and Canards (Turning Points and Delayed Bifurcations)
Two-timing, Geometric, and Multi-scale Methods
A Simple Multi-scale Procedure for Both Oscillatory and Boundary Layer Problems
References
Index
Preface
Ludwig Prandtl's Boundary Layer Theory
Asymptotic Approximations
44.
ＥＢ
edited by Arnold Koslow, Arthur Buchsbaum
目次情報:
続きを見る
Preface
Ibn Sina’s Two‐Partite versus Nine‐Partite Logicography by Musa Akrami
Homotopical categories of logics by Peter Arndt
Semi‐implication: A Chapter in Universal Logic by Arnon Avron
A Formal Framework for Hypersequent Calculi and their Fibring by Marcelo Esteban Coniglio and Martin Figallo
Investigating Knowledge and Opinion by John Corcoran and Idris Samawi Ha
The Algebra of Opposition (and universal logic interpretations) by Razvan Diaconescu
Universal Logic as the Science of Patterns by Brian Gaines
Hexagonal Logic of the Field F8 as a Boolean Logic with Three Involutive Modalities by René Guitart
The move from one to two quantifiers by Wilfrid Hodges
On the Contrary: Disjunctive Syllogism and Pragmatic Strengthening by Laurence Horn
Aristotle on Language and Universal Proof by Jean‐Louis Hudry
Béziau on And and Or by Lloyd Humberstone
Universal Logic or Logics in Resemblance Families by Dale Jacquette
Causality and Attribution in an Aristotelian Theory by Srecko Kovac
Using Each Other's Words by Marcus Kracht
On Universality and Formality in 19th Century Symbolic Logic: The Case of Schröder’s “Absolute Algebra” by Javier Legris
Caramuel and the “Quantification of the Predicate” by Wolfgang Lenzen
Lossy Inference Rules and their Bounds: a Brief Review by David Makinson and James Hawthorne
Nonsets by Daniel Parrochia
A Roadmap to Decidability by João Rasga, Cristina Sernadas and Amílcar Sernadas
John Buridan on Non‐Contingency Syllogisms by Stephen Read
Symbolic Existence in Hugh MacColl: a dialogical approach by Juan Redmond
Beziau's Contributions to the Logical Geometry of Modalities and Quantifiers by Hans Smessaert and Lorenz Demey
On Metalogical Pluralism by Vladimir L. Vasyukov
Constructivism and Metamathematics by Jan Woleński.
Preface
Ibn Sina’s Two‐Partite versus Nine‐Partite Logicography by Musa Akrami
Homotopical categories of logics by Peter Arndt
45.
ＥＢ
edited by David E. Rowe, Wann-Sheng Horng
目次情報:
続きを見る
Preface
Set Theory and Foundations of Mathematics
On the Boundaries of Mathematics and Physics
European Mathematics in Transition
Mathematics and its History in Modern Cultures
Traditional Chinese Mathematics
Chinese Mathematics: Transmissions and Transformation
Selected Bibliography of Joseph W. Dauben
Bibliography
Preface
Set Theory and Foundations of Mathematics
On the Boundaries of Mathematics and Physics
46.
ＥＢ
edited by Vincenzo Risi
目次情報:
続きを見る
Vincenzo De Risi: Introduction
Henry Mendell: What’s location got to do with it? Place, Space, and the Infinite in Classical Greek Mathematics
Jeremy Gray: A note on lines and planes in Euclid’s geometry
Alexander Jones: Theon of Smyrna and Ptolemy on Celestial Modelling in Two and Three Dimensions
David Rabouin: Proclus’ Conception of Geometric Space and its Actuality
Franco Farinelli: Subject, Space, Object: The Birth of Modernity
Gary Hatfield: On Natural Geometry and Seeing Distance Directly in Descartes
Douglas Jesseph: Hobbes’s Theory of Space
Andrew Janiak: Mathematics and Infinity in Descartes and Newton
Daniel Garber: Leibniz’s Transcendental Aesthetic
Graciela De Pierris: Hume’s Skepticism and Inductivism concerning Space and Geometry
Michael Friedman: Kant on Geometry and Experience
Vincenzo De Risi: Introduction
Henry Mendell: What’s location got to do with it? Place, Space, and the Infinite in Classical Greek Mathematics
Jeremy Gray: A note on lines and planes in Euclid’s geometry
47.
ＥＢ
edited by Arnold Koslow, Arthur Buchsbaum
目次情報:
続きを見る
1. Katarzyna Gan-Krzywoszyńska (edited by): Personal recollections about JYB by Newton da Costa and others
2. Jean-Yves Beziau: Logical Autobiography 50
3. Marcos Antonio Alves and Itala M. Loffredo D’Ottaviano: A quantitative-informational approach to logical consequence
4. Hajnal Andréka and Istvan Németi: Finite-variable logics do not have weak Beth definability property
5. Irving Anellis: Peirce’s Role in the History of Logic: Lingua Universalis and Calculus Ratiocinator
6. Ignacio Angelelli: The Meaning(s) of “is”: Normative vs. Naturalistic Views of Language
7. Régis Angot-Pélissier: The relation between logic, set theory and topos theory as it is used by Alain Badiou
8. Jonas Becker Arenhart and Décio Krause: Potentiality and Contradiction in Quantum Mechanics
9. Diderik Batens: Two, many and differently many
10. Hilan Bensusan, Alexandre Costa-Leite and Edelcio Gonçalves de Souza: Logics and their galaxies
11. Otavio Bueno: Can Identity be relativized?
12. Luis Estrada-González: From (paraconsistent) topos logic to Universal (topos) Logic
13. Yvon Gauthier: A Note on the Internal Logic of Constructive Mathematics: The Gel’fond-Schneider Theorem in Transcendental Number Theory
14. I. Grattan-Guinness: Is logic universal or hierarchical?
15. Dany Jaspers: The English Tenses, Blanche and the Logical Kite
16. Azriel Laufer and Dov Gabbay: Topological Aspects of Matrix Abduction 1
17. Mai Ben Adar Bessos and Dov Gabbay: Topological Aspects of Matrix Abduction 2
18. Sérgio Marcelino, Carlos Caleiro and Pedro Baltazar: Deciding theoremhood in fibred logics without shared connectives
19. Amirouche Moktefi and Fabien Schang: On rules and refereeing in football
20. Alessio Moretti: Arrow - Hexagons
21. Till Mossakowski, Mihai Codescu, Fabian Neuhaus, and Oliver Kutz: The Distributed Ontology, Modelling and Specification Language – DOL
22. Sergei Odintsov: Belnap constants and Nelson logic
23. Hitoshi Omori and Toshiharu Waragai: Negative modalities in the light of paraconsistency
24. Olga Pombo: Operativity and Representativity of the Sign in Leibniz
25. Henri Prade and Didier Dubois: Being consistent about inconsistency: Toward the rational fusing of inconsistent propositional logic bases
26. Giuseppe Primiero: Realist consequence, epistemic inference, computational correctness
27. Christian de Ronde: Epistemological and Ontological Paraconsistency in Quantum Mechanics: For and Against Bohrian Philosophy
1. Katarzyna Gan-Krzywoszyńska (edited by): Personal recollections about JYB by Newton da Costa and others
2. Jean-Yves Beziau: Logical Autobiography 50
3. Marcos Antonio Alves and Itala M. Loffredo D’Ottaviano: A quantitative-informational approach to logical consequence
48.
ＥＢ
by Paolo Bussotti
目次情報:
続きを見る
Foreword
1.An Introduction: The Historical-Conceptual Reference Frame
2.Description of the most Important Elements of Leibniz’s Planetary Theory
3.An Interlude: Leibniz’s Concept of Inertia
4.The Final Version of Leibniz’s Planetary Theory
5.Gravity and Cosmology
6.Kepler’s Influence on Leibniz’s Planetary Theory, Physics and Philosophy
7.Conclusions
References
Foreword
1.An Introduction: The Historical-Conceptual Reference Frame
2.Description of the most Important Elements of Leibniz’s Planetary Theory
49.
ＥＢ
by Bernard Bercu, Bernard Delyon, Emmanuel Rio
目次情報:
続きを見る
Classical Results
Concentration Inequalities for Sums
Concentration Inequalities for Martingales
Applications in Probability and Statistics
Classical Results
Concentration Inequalities for Sums
Concentration Inequalities for Martingales
50.
ＥＢ
edited by Giovanni Sommaruga, Thomas Strahm
目次情報:
続きを見る
Preface (Martin Davis).-I Introduction (Sommaruga, Strahm).-II Turing and the history of computability theory
1. Conceptual Confluence in 1936: Post & Turing, Martin Davis and Wilfried Sieg
2. Algorithms: From Al-Khwarizmi to Turing and Beyond, Wolfgang Thomas
3. The Stored-Program Universal Computer: Did Zuse Anticipate Turing and von Neumann? Jack Copeland and Giovanni Sommaruga
III Generalizing Turing computability theory
1. Theses for Computation and Recursion on Concrete and Abstract Structures, Solomon Feferman
2. Generalizing Computability Theory to Abstract Algebras, John V. Tucker and Jeffrey Zucker
3. Discrete Transfinite Computation, Philip Welch
4. Semantics-to-Syntax Analyses of Algorithms, Yuri Gurevich
5. The Information Content of Typical Reals, George Barmpalias and Andy Lewis-Pye
6. Proof-theoretic Analysis by Iterated Reflection, Lev Beklemishev.-IV Philosophical reflections
1. Alan Turing and the Foundation of Computer Science, Juraj Hromkovic
2. Proving Things about the Informal, Stewart Shapiro
3. Why Turing’s Thesis is Not a Thesis, Robert Soare
4. Incomputability, Emergent, and Higher Type Computation, S. Barry Cooper
Preface (Martin Davis).-I Introduction (Sommaruga, Strahm).-II Turing and the history of computability theory
1. Conceptual Confluence in 1936: Post & Turing, Martin Davis and Wilfried Sieg
2. Algorithms: From Al-Khwarizmi to Turing and Beyond, Wolfgang Thomas
51.
ＥＢ
by Jeremy Gray
目次情報:
続きを見る
Lagrange and foundations for the calculus
Joseph Fourier
Legendre
Cauchy and continuity
Cauchy: differentiation and integration
Cauchy and complex functions to 1830
Abel
Jacobi
Gauss
Cauchy and complex function theory, 1830-1857
Complex functions and elliptic integrals
Revision
Gauss, Green, and potential theory
Dirichlet, potential theory, and Fourier series
Riemann
Riemann and complex function theory
Riemann's later complex function theory
Responses to Riemann's work
Weierstrass
Weierstrass's foundational results
Revision { and assessment
Uniform Convergence
Integration and trigonometric series
The fundamental theorem of the calculus
The construction of the real numbers
Implicit functions
Towards Lebesgue's theory of integration
Cantor, set theory, and foundations
Topology
Assessment
Lagrange and foundations for the calculus
Joseph Fourier
Legendre
52.
ＥＢ
by Andrea Bonfiglioli, Roberta Fulci
53.
ＥＢ
edited by Annette Lykknes, Donald L. Opitz, Brigitte Van Tiggelen
54.
ＥＢ
by Manfredo P. do Carmo ; edited by Keti Tenenblat
55.
ＥＢ
by Andreas M. Hinz, Sandi Klavžar, Uroš Milutinović, Ciril Petr
目次情報:
続きを見る
Foreword by Ian Stewart
Preface
0 The Beginning of the World
1 The Chinese Rings
2 The Classical Tower of Hanoi
3 Lucas’s Second Problem
4 Sierpinski Graphs
5 The Tower of Hanoi with More Pegs
6 Variations of the Puzzle
7 The Tower of London
8 Tower of Hanoi Variants with Oriented Disc Moves
9 The End of the World
A Hints and Solutions to Exercises
Glossary
Bibliography
Name Index
Subject Index
Symbol Index
Foreword by Ian Stewart
Preface
0 The Beginning of the World
56.
ＥＢ
by Nerida Ellerton, M. A. (Ken) Clements
目次情報:
続きを見る
1 The Scope of this Book
2 Young Children’s Introduction to Mathematics in North America Between 1607 and 1865
3. The Influence of the Cyphering Tradition on North American Elementary- And Middle-School Mathematics Between 1607 and 1865
4. Mathematics Textbooks and the Gradual Decline in the Use of Middle- to Advanced-Level Abbaco Arithmetic Between 1607 and 1865
5. The Struggle for Algebra
6. Pre-College Geometry, Trigonometry, Mensuration, Surveying, and Navigation 1607–1865
7. College Mathematics, 1607–1865
8. Different Perspectives on Mathematics in North America 1607–1865
9. Toward Mathematics for All: Answers to Research Questions, Limitations, and Possibilities for Further Research
1 The Scope of this Book
2 Young Children’s Introduction to Mathematics in North America Between 1607 and 1865
3. The Influence of the Cyphering Tradition on North American Elementary- And Middle-School Mathematics Between 1607 and 1865
ＥＢ
