| These reviews are outdated. I used to write these Amazon reviews in my youth, but nowadays I am more likely to write reviews and related materials in other venues such as my podcast, zbMATH, Mathematical Reviews, etc. |
| ancient mathematics, synoptical |
Russo, The Forgotten Revolution
Szabo, The Beginnings of Greek Mathematics
Proclus, A Commentary on the First Book of Euclid's Elements
Sefrin-Weis, Pappus of Alexandria: Book 4 of the Collection
Hart, The Chinese Roots of Linear Algebra
Høyrup, Lengths, Widths, Surfaces: A Portrait of Old Babylonian Algebra and Its Kin
Robson, Mathematics in Ancient Iraq: A Social History
Lee, Zeno of Elea
Flegg, Numbers Through the Ages
Heath (ed.), The Works of Archimedes
Dijksterhuis, Archimedes
Heath, History of Greek Mathematics I
Heath, History of Greek Mathematics II
Goldstein, The Arabic version of Ptolemy's Planetary hypotheses |
| ancient mathematics, critical |
Chemla (ed.), The History of Mathematical Proof in Ancient Traditions
Netz, The Transformation of Mathematics in the Early Mediterranean World
Christianidis (ed.), Classics in the History of Greek Mathematics
Fried & Unguru, Apollonius of Perga's Conica
Koetsier & Bergmans (eds.), Mathematics and the Divine
Cuomo, Pappus of Alexandria and the Mathematics of Late Antiquity
Mueller, Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Knorr, The Ancient Tradition of Geometric Problems
Knorr, Textual Studies in Ancient and Medieval Geometry
Apollonius, Conics Books I-IV |
| early modern mathematics, synoptical |
Bos, Differentials, higher order differentials and the derivative in the Leibnizian calculus
Bos, Redefining Geometrical Exactness
Engelsman, Families of Curves and the Origins of Partial Differentiation
Descartes, The Geometry
300 Jahre Nova methodus von G.W. Leibniz
Hofmann, Leibniz in Paris
Field & Gray (eds.), The Geometrical Work of Girard Desargues
Stedall (ed.), Wallis's Arithmetic of Infinitesimals
Mahoney, The Mathematical Career of Pierre de Fermat
Federico, Descartes on Polyhedra
Domingues, Lacroix and the Calculus
Malet, From indivisibles to infinitesimals
Goulding, Ramus, Savile, and the Renaissance Rediscovery of Mathematical History
Viète, The Analytic Art
Schüling, Die Geschichte der axiomatischen Methode im 16. und beginnenden 17. Jahrhundert
Goethe et al. (eds.), Leibniz, Interrelations between Mathematics and Philosophy |
early modern mathematics, critical
|
Parmentier, La Naissance Du Calcul Differentiel
Guicciardini, Reading the Principia
Guicciardini, Isaac Newton on Mathematical Certainty and Method
Goldstine, A History of the Calculus of Variations from the 17th through the 19th Century
Jahnke (ed.), A History of Analysis
Rosenfeld, A History of Non-Euclidean Geometry
Stedall, A Discourse Concerning Algebra
Brown, The Tangled Origins of the Leibnizian Calculus
Sasaki, Descartes's Mathematical Thought
Goldenbaum & Jesseph (eds.), Infinitesimal Differences
Newton, Philosophical Writings
Alexander, Infinitesimal
Bradley et al., L'Hôpital's Analyse des infiniments petits
Lachterman, The Ethics of Geometry |
| early modern science, synoptical |
Newton, Opticks
Kepler, Mysterium Cosmographicum
Kepler, Conversation with Galileo's Sidereal Messenger
Kepler, Selections from the Astronomia Nova
Gilbert, De Magnete
Boyle, A Free Enquiry into the Vulgarly Received Notion of Nature
Boyle, Selected Philosophical Papers
Copernicus, On the Revolutions of Heavenly Spheres
Blackwell, Galileo, Bellarmine, and the Bible
Finocchiaro, The Galileo Affair: A Documentary History
Truesdell, Essays in the History of Mechanics
Methuen, Kepler's Tübingen
Caspar, Kepler
Nicolson, Pepys' Diary and the new science
Drake, Galileo Studies
Feyerabend, Against Method
Laudan, Science and Hypothesis
Heilbron, Elements of Early Modern Physics
Koestler, The Sleepwalkers
Baumgardt, Johannes Kepler: Life and Letters
Stephenson, Kepler's Physical Astronomy
Boas Hall, Promoting Experimental Learning
Snyder, Eye of the Beholder |
| early modern science, critical |
Kuhn, The Copernican Revolution
Dijksterhuis, The Mechanization of the World Picture
Voelkel, The Composition of Kepler's Astronomia nova
Kozhamthadam, The Discovery of Kepler's Laws
Sepper, Newton's Optical Writings
Herivel, The Background to Newton's Principia
Janiak, Newton as Philosopher
Berkeley, A Treatise Concerning the Principles of Human Knowledge
Levere (ed.), Nature, Experiment, and the Sciences
Cohen, The Newtonian Revolution
Speiser, Discovering the Principles of Mechanics
Franklin, Principle of Inertia in the Middle Ages
Henry, The Scientific Revolution and the Origins of Modern Science
Laudan et al., Scrutinizing Science
Gingerish (ed.), The Nature of Scientific Discovery
Huff, Intellectual Curiosity and the Scientific Revolution
Dear, Discipline and Experience: The Mathematical Way in the Scientific Revolution
Pisano & Capecchi, Tartaglia's Science of Weights and Mechanics in the Sixteenth Century
Thorndike, A History of Magic and Experimental Science |
| Galileo, critical |
Biagioli, Galileo, Courtier
Shea, Galileo's Intellectual Revolution
Finocchiaro, Retrying Galileo, 1633-1992
Wallace, Prelude to Galileo
Finocchiaro, Defending Copernicus and Galileo
Finocchiaro, The Routledge Guidebook to Galileo's Dialogue
Wootton, Galileo: Watcher of the Skies
Frova, Thus Spoke Galileo |
| early modern philosophy, synoptical |
Descartes, Principles of Philosophy
Descartes, Discourse on the Method
Descartes, Rules for the direction of the mind
Descartes, Meditations on First Philosophy
Leibniz, The Labyrinth of the Continuum
Jones, The Good Life in the Scientific Revolution
Nikulin, Matter, Imagination and Geometry
Sorell (ed.), The Cambridge Companion to Hobbes
Brandt, Thomas Hobbes' mechanical conception of nature
Hobbes, The English Works of Thomas Hobbes of Malmesbury: Volume 1
Hobbes, The English Works of Thomas Hobbes of Malmesbury: Volume 7
Pérez-Ramos, Francis Bacon's Idea of Science and the Maker's Knowledge Tradition |
| revisionist history of rigour |
Maclaurin, Collected Letters of Colin Maclaurin
Jesseph, Berkeley's Philosophy of Mathematics
Bressoud, A Radical Approach to Real Analysis
Stahl, Real Analysis: A Historical Approach
Grattan-Guinness, Development of the Foundations of Mathematical Analysis
Boyer, The History of the Calculus and Its Conceptual Development
Baron, The Origins of the Infinitesimal Calculus
Grabiner, The Origins of Cauchy's Rigorous Calculus
Gray, Plato's Ghost: The Modernist Transformation of Mathematics
Trudeau, The Non-Euclidean Revolution |
| history of mathematics, critical |
Robson & Stedall (eds.), The Oxford Handbook of the History of Mathematics
Stedall, The History of Mathematics: A Very Short Introduction
Kleiner, Excursions in the History of Mathematics
Berlinghoff & Gouvêa, Math Through the Ages
Krantz, An Episodic History of Mathematics
Knoebel et al., Mathematical Masterpieces
Dahan-Dalmedico et al., History of Mathematics: Highways and Byways
Smith, A Source Book in Mathematics
Kline, Mathematical Thought from Ancient to Modern Times
Berlinski, Infinite Ascent |
| history of science, synoptical |
Holton, Thematic Origins of Scientific Thought
van der Waerden, Science Awakening II
Needham, Science in Traditional China
Gratzer (ed.), A Bedside Nature
Morgan, Molyneux's Question
Popper, The World of Parmenides
Gal, Meanest Foundations and Nobler Superstructures |
| history of science, critical |
Riskin, Science in the Age of Sensibility
Crombie, The History of Science from Augustine to Galileo
McGrew et al., Philosophy of Science: An Historical Anthology
Achinstein, Science Rules: A Historical Introduction to Scientific Methods
Meli, Equivalence and Priority
Lightman, A Companion to the History of Science |
| mathematics education |
NCTM, Principles and Standards for School Mathematics
Sowder (ed.), Lessons Learned from Research
Krantz, How to Teach Mathematics
Steen (ed.), Calculus for a New Century
Ganter, Changing Calculus
Harel & Dubinsky (eds.), The Concept of Function
Douglas (ed.), Toward a Lean and Lively Calculus
Leinbach et al. (eds.), The Laboratory Approach to Teaching Calculus
NRC, Scientific Research in Education
McKnight, Mathematics Education Research
Sierpinska & Kilpatrick, Mathematics Education as a Research Domain
Priestley, Calculus: A Liberal Art
Kleiner, A History of Abstract Algebra
ICMI, History in Mathematics Education
Kline, Why the professor can't teach
Kahn, The One World Schoolhouse |
| calculus, critical |
Stewart, Calculus
Hughes-Hallett et al., Calculus
Callahan et al., Calculus in Context |
| geometry, synoptical |
Hallett & Majer, David Hilbert's Lectures on the Foundations of Geometry
Stillwell (ed.), Sources of Hyperbolic Geometry
Gray, Janos Bolyai, Non-Euclidean Geometry, and the Nature of Space
Gray, Worlds Out of Nothing
Richards, Mathematical Visions
Klein, Das Erlanger Programm
Klein, Vorlesungen über nicht-euklidische Geometrie
Hilbert, Geometry and the Imagination
Bolyai, Appendix
Meschkowski, Noneuclidean Geometry |
| number theory, synoptical |
Edwards, Riemann's Zeta Function
Edwards, Fermat's Last Theorem
Dirichlet, Lectures on Number Theory
Dedekind, Theory of Algebraic Integers
Weil, Number Theory
Scharlau & Opolka, Von Fermat bis Minkowski |
| analysis, synoptical |
Manheim, The Genesis of Point Set Topology
Poincaré, Papers on Fuchsian Functions
Gray, Linear Differential Equations and Group Theory from Riemann to Poincare
Smithies, Cauchy and the Creation of Complex Function Theory
Flanigan, Complex Variables
Klein, Riemannsche Flächen
Klein, Funktionstheorie in geometrischer Behandlungsweise
Klein, On Riemann's Theory of Algebraic Functions and Their Integrals
Jones, Lebesgue Integration On Euclidean Space |
| algebra, synoptical |
Edwards, Galois Theory
Tignol, Galois' Theory Of Algebraic Equations
Cox, Galois Theory
Hadlock, Field Theory and Its Classical Problems
Polya, Combinatorial Enumerations of Groups, Graphs, and Chemical Compounds |
| foundations, synoptical |
Gödel, On Formally Undecidable Propositions
Mancosu (ed.), From Brouwer To Hilbert
Detlefsen, Hilbert's Program
Lakatos, Mathematics, Science and Epistemology |
| philosophy of space |
Torretti, Philosophy of Geometry from Riemann to Poincaré
Alexander (ed.), The Leibniz-Clarke Correspondence
Daniels, Thomas Reid's Inquiry
Poincaré, Science and Hypothesis
Poincaré, The Value of Science
Pesic (ed.), Beyond Geometry |
| philosophy of science, critical |
McAllister, Beauty & Revolution in Science
Nola & Sankey (eds.), After Popper, Kuhn and Feyerabend
Leplin, A Novel Defense of Scientific Realism
Laudan, Progress and Its Problems
Carruthers, Human Knowledge and Human Nature
Nagel, The Last Word
Duhem, Essays in History and Philosophy of Science
Leibniz, Philosophical Essays
Sankey, The Incommensurability Thesis
Bird, Thomas Kuhn
Fuller, Kuhn vs. Popper
Aspray & Kitcher (eds.), History and Philosophy of Modern Mathematics
Gillies (ed.), Revolutions in Mathematics
Le Lionnais, Great Currents of Mathematical Thought
Resnik, Frege and the Philosophy of Mathematics
Carnap, Philosophical Foundations of Physics
Shenefelt & White, If A, Then B: How the World Discovered Logic
Elgin (ed.), Nelson Goodman's New Riddle of Induction |
| misc. philosophy, synoptical |
Plato, Timaeus
Aristotle, Posterior Analytics
Aristotle, Sophistici Elenchi
Chomsky, Reflections on Language
Chomsky, Cartesian Linguistics
van Fraassen et al., Images of Science
Kuhn, The Structure of Scientific Revolutions
Lakatos, The Methodology of Scientific Research Programmes
Lloyd, Magic, Reason and Experience
Lloyd, Adversaries and Authorities |
| misc. cultural, synoptical |
Helmholtz, Science and Culture
Helmholtz, On the Sensations of Tone
Richards, The Romantic Conception of Life
Alberti, On Painting
Loran, Cézannes Composition
Duberman, Black Mountain
McPhee, Formal theories of mass behavior
Turchin, Historical Dynamics
Fieldhouse, The Theory of Capitalist Imperialism
Thompson, On Growth and Form
Willingham, Why Don't Students Like School? |