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1. Collineations and Conic Sections : An Introduction to Projective Geometry in its History. 1st ed. 2020
by Christopher Baltus
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-46287-1
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Preface
1. Introduction
2. Central Collineations
3. The Geometry of Euclid's Elements
4. Conics in Greek Geometry
5. Conic Sections in Early Modern Europe
6. Conic Sections in Early Modern Europe
7. Central Collineations
8. Nineteenth Century
9. Foci
10. Steiner. 11. Desargues and Involution
12. Looking Ahead
13. Matrices and Homogeneous Coordinates
14. Some Applications of Conics in History
15. Vertical Stretch and Isaac Newton's Conics
16. Three Appendices
Bibliography
Preface
1. Introduction
2. Central Collineations
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2. Research in History and Philosophy of Mathematics : The CSHPM 2018 Volume. 1st ed. 2020
edited by Maria Zack, Dirk Schlimm
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Proceedings of the Canadian Society for History and Philosophy of Mathematics/ Société canadienne d’histoire et de philosophie des mathématiques ;
オンライン: https://doi.org/10.1007/978-3-030-31298-5
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Rickey: Professor Bolesław Sobociǹski and Logic at Notre Dame
Lovsted: Fred Sommers' Notations for Aristotelian Logic
Jarry: L'equivalence duale de categories: a third way of analogy?
Pérez-Escobar: Mathematical Modelling and Teleology in Biology
Pelland: Arithmetic, Culture, and Attention
Lavers: Did Frege Solve One of Zeno's Paradoxes?
Ackerberg-Hastings: Charles Davies as a Philosopher of Mathematics Education
Godard and De Boer: Gauss et le modèle du champ magnétique terrestre
Barnett: A Gaussian Tale for the Classroom: Lemniscates, Arithmetic-Geometric Means, and More
Baltus: Philippe de la Hire: Was he Desargues' Schüler?
Rickey: Professor Bolesław Sobociǹski and Logic at Notre Dame
Lovsted: Fred Sommers' Notations for Aristotelian Logic
Jarry: L'equivalence duale de categories: a third way of analogy?
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3. Sophie Germain : Revolutionary Mathematician. 2nd ed. 2020
by Dora Musielak
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Springer Biographies ;
オンライン: https://doi.org/10.1007/978-3-030-38375-6
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Unforgettable Childhood
Lessons from l’École Polytechnique
Sophie’s Sublime Arithmetica
Chladni and His Acoustic Experiments
Euler and the Bernoullis
Germain and Her Biharmonic Equation
Experiments with Vibrating Plates
Elasticity Theory After Germain
Germain and Fermat’s Last Theorem
Pensées de Germain
Friends, Rivals, and Mentors
List of Illustrations
The Last Years
Unanswered Questions
Princess of Mathematics
Germain-Gauss Correspondence
A Bibliography on Sophie Germain
Illustration Credits.-Index
Unforgettable Childhood
Lessons from l’École Polytechnique
Sophie’s Sublime Arithmetica
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4. Stereotomy : Stone Construction and Geometry in Western Europe 1200–1900. 1st ed. 2020
by José Calvo-López
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Mathematics and the Built Environment ; 4
オンライン: https://doi.org/10.1007/978-3-030-43218-8
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Introduction
Writers
Techniques
Members
Problems
A provisional summary
References
Introduction
Writers
Techniques
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5. Research Schools on Number Theory in India : During the 20th Century. 1st ed. 2020
by Purabi Mukherji
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-981-15-9620-9
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Historical Prelude and Introduction
Indian Schools of Research on Number Theory
Impact of the research of the Indian Number Theorists to Modern Mathematics
Epilogue
Historical Prelude and Introduction
Indian Schools of Research on Number Theory
Impact of the research of the Indian Number Theorists to Modern Mathematics
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6. Proving It Her Way : Emmy Noether, a Life in Mathematics. 1st ed. 2020
by David E. Rowe, Mechthild Koreuber
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-62811-6
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Preface
1 Diving into Math with Emmy Noether
2 Emmy Noether: a Portrait
3 Max and Emmy Noether: Mathematics in Erlangen
4 Emmy Noether's Long Struggle to Habilitate in Göttingen
5 Noether's Early Contributions to Modern Algebra
6 Noether's International School in Modern Algebra
7 Emmy Noether's Triumphal Years
8 Cast out of her Country
9 Emmy Noether in Bryn Mawr
Bibliography
Name Index
Preface
1 Diving into Math with Emmy Noether
2 Emmy Noether: a Portrait
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7. Language, Logic, and Mathematics in Schopenhauer. 1st ed. 2020
edited by Jens Lemanski
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Studies in Universal Logic ;
オンライン: https://doi.org/10.1007/978-3-030-33090-3
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Introduction: Jens Lemanski
Section 1: Language
Language as an "Indisputable Tool and Organ" of Reason: Intuition, Concept and Word in Schopenhauer: Matthias Koßler
Problems in Reconstructing Schopenhauer's Theory of Meaning: With References to Influence on Wittgenstein: Michał Dobrzański
Concept Diagrams and the Context Principle: Jens Lemanski
A Comment on Lemanski's "Concept Diagrams and the Context Principle": Gunnar Schumann
The World as Will and I-Language: Schopenhauer's Philosophy as Precursor of Cognitive Sciences: Sascha Dümig
Schopenhauer's Perceptive Invective: Michel-Antoine Xhignesse
Section 2: Logic
Schopenhauer's Eulerian Diagrams: Amirouche Moktefi
Schopenhauer's Logic In Its Historical Context: Valentin Pluder
Arthur Schopenhauer on Naturalness in Logic: Hubert Martin Schüler, Jens Lemanski
Schopenhauer and the Equational Form of Predication: Anna-Sophie Heinemann
From Euler Diagrams in Schopenhauer to Aristotelian Diagrams in Logical Geometry: Lorenz Demey
Metalogic, Schopenhauer, and Universal Logic: Jean-Yves Béziau
Section 3: Mathematics
Schopenhauer and the Mathematical Intuition as the Foundation of Geometry: Marco Segala
Schopenhauer on Intuition and Proof in Mathematics: Jason Costanzo
Schopenhauer on Diagrammatic Proof: Michael Bevan
From Necessary Truths to Feelings: The Foundations of Mathematics in Leibniz and Schopenhauer: Laura Follesa
Introduction: Jens Lemanski
Section 1: Language
Language as an "Indisputable Tool and Organ" of Reason: Intuition, Concept and Word in Schopenhauer: Matthias Koßler
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8. Al-Kashi's Miftah al-Hisab, Volume II: Geometry : Translation and Commentary. 1st ed. 2020
by Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
オンライン: https://doi.org/10.1007/978-3-030-61330-3
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目次情報:
Preface
Introduction
The Fourth Treatise: On Measurements
Preface
Introduction
The Fourth Treatise: On Measurements
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9. Can Mathematics Be Proved Consistent? : Gödel's Shorthand Notes & Lectures on Incompleteness. 1st ed. 2020
by Jan von Plato
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Sources and Studies in the History of Mathematics and Physical Sciences ;
オンライン: https://doi.org/10.1007/978-3-030-50876-0
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I. Gödel's Steps Toward Incompleteness
II. The Saved Sources on Incompleteness
III. The Shorthand Notebooks
IV. The Typewritten Manuscripts
V. Lectures and Seminars on Incompleteness
Index
References
I. Gödel's Steps Toward Incompleteness
II. The Saved Sources on Incompleteness
III. The Shorthand Notebooks
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10. The Essence of Numbers. 1st ed. 2020
by Frédéric Patras
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: History of Mathematics Subseries ; 2278
オンライン: https://doi.org/10.1007/978-3-030-56700-2
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