A Comprehensive Textbook of Classical Mathematics by 
Defending Hypatia: Ramus, Savile, and the Renaissance Rediscovery of Mathematical History by 
Mathematical Lives: Protagonists of the Twentieth Century From Hilbert to Wiles by
Preface.- Hilbert’s Problems. A Research Program for Future Generations: U.Bottazzini.-The Way We Were. The Protagonists of the “Italian Spring” in the First Decades of the Twentieth Century: G.Bolondi et al.- Intermezzo: Verlaine and Poincaré from Etudes littéraires : P.Valéry.- B.Russell. Paradoxes and Other Enigmas: G.Rigamonti.- G.H.Hardy. A Brilliant Mind: R.Lucchetti.- E.Noether. The Mother of Algebra: A.Brigaglia.- Intermezzo: Carciopholus romanus from Furor mathematicus: L.Sinisgalli.- P.A.M.Dirac. The Search for Mathematical Beauty: F.La Teana.- The Theoretical Intelligence and Pratic Vision of J. von Neumann: R.Lucchetti.- K.Gödel. Completeness and Incompleteness: P.Odifreddi.- Intermezzo: In Homage to Gödel: H.M.Enzensberger.- R.Musil. The Audacity of Intelligence: C.Bartocci.- The Life, Death and Miracles of Alan Mathison Turing: S.Termini.- R.Caccioppoli. Naples, Fascism and the Post-War Period: A.Guerraggio.- B. de Finetti. The Foundations of Probability: D.M.Cifarelli.- A Committed Mathematician: G.I.Bischi.- A.N.Kolmogorov. The Basis of Probability, and More...: G.Boffetta et al.- Bourbaki. A Mathematician from Poldavia: G.Bolondi.- Writing and Mathematics in the work of R.Queneau: A.Ferraro.- J.F.Nash, Jr.. The Myth of Icarus: R.Lucchetti.- E.De Giorgi. Intuition and Rigour: G.Dal Maso.- L.Schwartz. Political Commitment and Mathematical Rigour: A.Guerraggio.- R.Thom. Conflict and Genesis of Forms: R.Betti.- Intermezzo: The Dream: J.L.Borges.- A.Grothendick: Enthusiasm and Creativity. A New Language at the Service of Imagination: L.Barbieri Viale.- G.-C.Rota. Mathematician and Philosopher: D.Senato.- S.Smale. Mathematics and Civil Protest: A.Guerraggio.- M.F. Atiyah. The Deep Reasons for Mathematics: C.Bartocci.- V.I.Arnol’d: M.Pedroni.- Enrico Bombieri: C.Bartocci et al.- M.Gardner: E.Peres.- Intermezzo: The Door of Miracles from Le Modulor: Le Corbusier.- F.W.Lawvere: R.Betti.- An Interview with A.Wiles: C.Bartocci
Mathematical Thought from Ancient to Modern Times by 
Oxford Figures by
Marcus du Sautoy: Foreword to Second Edition
I. M. James: Foreword to First Edition
John Fauvel: Introduction: Eight centuries of mathematical traditions
PART I: EARLY DAYS
1: John North: Medieval Oxford
2: John Fauvel and Robert Goulding: Renaissance Oxford
3: Willem Hackmann: Mathematical instruments
PART II: THE 17th CENTURY
4: Allan Chapman: The first professors
5: Raymond Flood: John Wallis
6: Allan Chapman: Edmond Halley
PART III: THE 18th CENTURY
7: Allan Chapman: Oxford's Newtonian school
8: John Fauvel: Georgian Oxford
9: Allan Chapman: Thomas Hornsby and the Radcliffe Observatory
PART IV: THE VICTORIAN ERA
10: Keith Hannabuss: The 19th century
11: Keith Hannabuss: Henry Smith
12: Robin Wilson: Charles Dodgson
13: John Fauvel: James Joseph Sylvester
PART V: THE MODERN ERA
14: Margaret E. Rayner: The 20th century
15: Sir Michael Atiyah: Some personal reminiscences
Peter M. Neumann: Epilogue: Recent developments
A Remarkable Collection of Babylonian Mathematical Texts by
Acknowledgements.- Introduction.- Documentation of Provenance.- Abbreviations.- How to Get a Better Understanding of Mathematical Cuneiform Texts.- Old Babylonian Arithmetical Hand Tablets.- Old Babylonian Arithmetical Table Texts.- Old Babylonian Metrological Table Texts.- Mesopotamian Weight Stones.- Neo-Sumerian Field Maps (Ur III).- An Old Sumerian Metro-Mathematical Table Text (Early Dynastic IIIa).- Old Babylonian Hand Tablets with Practical Mathematics.- Old Babylonian Hand Tablets with Geometric Exercises.- The Beginning and the End of the Sumerian King List.- Three Old Babylonian Mathematical Problem Texts from Uruk.- Three Problem Texts Not Belonging to Any Known Group of Texts.- App. 1. Subtractive Notations for Numbers in Mathematical Cuneiform Texts.- App. 2. The Old Babylonian Combined Multiplication Table.- App. 3. An Old Babylonian Combined Arithmetical Algorithm.- App. 4. Cuneiform Systems of Notations for Numbers and Measures.- App. 5. Old Babylonian Complete Metrological Tables.- App. 6. Metro-Mathematical Cuneiform Texts from the Third Millennium BC.- App. 7. CUNES 50-08-001. A Combined Metro-Mathematical Table Text (ED IIIb).- App. 8. Plimpton 322, a Table of Parameters for igi–igi.bi Problems.- App. 9. Many-Place Squares of Squares in Late Babylonian Mathematical Texts.- App. 10. Color Photos of Selected Texts.- Vocabulary for the MS Texts.- Index of Subjects.- Index of Texts.- References.
Worlds Out of Nothing: A Course in the History of Geometry in the 19th Century by
Mathematics in the French Revolution.- Poncelet (and Pole and Polar).- Theorems in Projective Geometry.- Poncelet’s Traité.- 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 Gauss’s Differential Geometry.- János Bolyai.- Lobachevskii.- Publication and Non-Reception up to 1855.- On Writing the History of Geometry – 1.- Across the Rhine – Möbius’s Algebraic Version of Projective Geometry.- Plücker, Hesse, Higher Plane Curves, and the Resolution of the Duality Paradox.- The Plücker Formulae.- The Mathematical Theory of Plane Curves.- Complex Curves.- Riemann: Geometry and Physics.- Differential Geometry of Surfaces.- Beltrami, Klein, and the Acceptance of Non-Euclidean Geometry.- On Writing the History of Geometry – 2.- Projective Geometry as the Fundamental Geometry.- Hilbert and his Grundlagen der Geometrie.- The Foundations of Projective Geometry in Italy.- Henri Poincaré and the Disc Model of non-Euclidean Geometry.- Is the Geometry of Space Euclidean or Non-Euclidean?.- Summary: Geometry to 1900.- What is Geometry? The Formal Side.- What is Geometry? The Physical Side.- What is Geometry? Is it True? Why is it Important?.- On Writing the History of Geometry – 3
Journey Through Mathematics: Creative Episodes in Its History by
1 TRIGONOMETRY.- 1.1 The Hellenic Period.- 1.2 Ptolemy’s Table of Chords.- 1.3 The Indian Contribution.- 1.4 Trigonometry in the IslamicWorld.- 1.5 Trigonometry in Europe.- 1.6 From Viète to Pitiscus.- 2 LOGARITHMS.- 2.1 Napier’s First Three Tables.- 2.2 Napier’s Logarithms.- 2.3 Briggs’ Logarithms.- 2.4 Hyperbolic Logarithms.- 2.5 Newton’s Binomial Series.- 2.6 The Logarithm According to Euler.- 3 COMPLEX NUMBERS.- 3.1 The Depressed Cubic.- 3.2 Cardano’s Contribution.- 3.3 The Birth of Complex Numbers.- 3.4 Higher-Order Roots of Complex Numbers.- 3.5 The Logarithms of Complex Numbers.- 3.6 CasparWessel’s Breakthrough.- 3.7 Gauss and Hamilton Have the FinalWord.- 4 INFINITE SERIES.- 4.1 The Origins.- 4.2 The Summation of Series.- 4.3 The Expansion of Functions.- 4.4 The Taylor and Maclaurin Series.- 5 THE CALCULUS.- 5.1 The Origins.- 5.2 Fermat’s Method of Maxima and Minima.- 5.3 Fermat’s Treatise on Quadratures.- 5.4 Gregory’s Contributions.- 5.5 Barrow’s Geometric Calculus.- 5.6 From Tangents to Quadratures.- 5.7 Newton’s Method of Infinite Series.- 5.8 Newton’s Method of Fluxions.- 5.9 Was Newton’s Tangent Method Original?.- 5.10 Newton’s First and Last Ratios.- 5.11 Newton’s Last Version of the Calculus.- 5.12 Leibniz’ Calculus: 1673–1675.- 5.13 Leibniz’ Calculus: 1676–1680.- 5.14 The Arithmetical Quadrature.- 5.15 Leibniz’ Publications.- 5.16 The Aftermath.- 6 CONVERGENCE.- 6.1 To the Limit.- 6.2 The Vibrating String MakesWaves.- 6.3 Fourier Puts on the Heat.- 6.4 The Convergence of Series.- 6.5 The Difference Quotient.- 6.6 The Derivative.- 6.7 Cauchy’s Integral Calculus.- 6.8 Uniform Convergence
Science and Mathematics in Ancient Greek Culture by 
