Riferimenti Bibliografici

Matematica in generale (e quindi anche geometria)

  • John Stillwell - Mathematics and Its History - (3rd ed. 2010)
  • Saunders Mac Lane - Mathematics Form and Function - (1986)
  • Timothy Gowers - The Princeton Companion to Mathematics - (2008)
  • Nicholas J. Hingham - The Princeton Companion to Applied Mathematics - (2015)
  • Richard Earl, James Nicholson - The Concise Oxford Dictionary of Mathematics - (6° ed. 2021)
    di carattere più divulgativo:
  • Timothy Gowers - Mathematics. A Very Short Introduction
    trad.it. Matematica. Un’introduzione. (2004)
  • Alain Goriely - Applied Mathematics. A Very Short Introduction
  • Richard Elwes - Maths 1001: Absolutely Everything That Matters About Mathematics in 1001 Bite-Sized Explanations (2017)
  • Georg Glaeser - A Mathematical Picture Book
    trad.it. Immagini della Matematica
  • Morris Kline - Mathematics in Western Culture - (1964)
    trad.it. Storia di un amore infinito. La matematica nella cultura occidentale (2023)
  • John Courant, Herbert Rollins, Ian Stewart - What Is Mathematics?: An Elementary Approach to Ideas and Methods - (1944, 2° ed. 1996)
    trad.it. Che cos’è la matematica? (2000)

Matematica e mondo reale

  • Apoorva Khare - Beautiful, Simple, Exact, Crazy: Mathematics in the Real World
  • Evan M. Glaezer, John W. McConnell - Real Life Math
  • Saul Stahl, Paul E. Johnson - Mathematics Old and New (2017)
  • Morris Kline - Mathematics for the Nonmathematician
  • Georg Glaeser - Math tools. 500 applications in science and arts (2017)
  • Georg Glaeser - Nature and Numbers: A Mathematical Photo Shooting
  • Ian Stewart - What’s the Use? - (2022)
    trad.it. A cosa serve la matematica? L’irragionevole efficacia di una disciplina (2022)

Geometria in generale

  • Maciej Dunajski - Geometry. A Very Short Introduction - (2022)
  • Irving Adler - A New Look at Geometry
  • Saul Stahl - Geometry from Euclid to Knots
  • H. Graham Flegg - From Geometry to Topology
  • Georg Glaeser - Geometry and Its Applications in Arts, Nature and Technology (2020)
  • Georg Glaeser, Franz Gruber - Experiencing Geometry, Physics, and Biology (2024)
  • John Barnes - Gems of Geometry
  • John Stillwell - The Four Pillars of Geometry
  • David A. Brannan, Matthew F. Esplen, Jeremy Gray - Geometry
  • David Hilbert, S.Cohn-Vossen - Geometry and the imagination
    trad.it. Geometria intuitiva
  • Eli Maor, Eugen Jost - Beautiful Geometry
    trad.it. L’arte della geometria (2020)

Topologia informale

  • Richard Earl - Topology: A Very Short Introduction
  • H. Graham Flegg - From Geometry to Topology
  • David S. Richeson - Euler’s Gem: The Polyhedron Formula and the Birth of Topology
  • Robert Messer, Philip Straffin - Topology Now (2006)
  • V.V. Prasolov - Intuitive Topology
  • Sue E. Goodman - Beginning Topology
  • Peter Saveliev - Topology Illustrated (2016)

Geometria ed Algebra

  • L.Christine Kinsey, Teresa E. Moore - Symmetry, Shape and Space. An Introduction to Mathematics through Geometry
  • D.L. Herrmann, P.J. Sally Jr. - Number, Shape, & Symmetry. An Introduction to Number Theory, Geometry, and Group Theory
  • Seth Braver - The Dark Art of Linear Algebra: An intuitive geometric approach
  • Tim Chartier - When Life is Linear: From Computer Graphics to Bracketology-MAA (2015)
  • Ivan Savov - No Bullshit Guide to Linear Algebra
  • Gerald Farin, Dianne Hansford - Practical Linear Algebra.A Geometry Toolbox
  • Mikhail Postnikov - Lectures on Geometry. Semester I-II

Simmetria e teoria dei gruppi

  • Kristopher Tapp - Symmetry A Mathematical Exploration
  • John Stillwell - Naive Lie Theory
  • Nathan Carter - Visual Group Theory (2009)
  • David W. Farmer - Groups and symmetry A guide to discovering mathematics

Grafi tra informatica,geometria discreta e topologia

  • Gary Chartrand - Introductory Graph Theory
  • Nora Hartsfield, Gerhard Ringel - Pearls in Graph Theory: A Comprehensive Introduction
  • Maarten van Steen - Graph Theory and Complex Networks. An Introduction (2010).
  • Sergey Dorogovtsev - Lectures on Complex Networks (2010)

Teoria dei Nodi

  • Colin Adams - The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots
  • David W. Farmer, Theodore B. Stanford - Knots and surfaces
  • Alexei Sossinsky, Giselle Weiss - Knots: Mathematics with a Twist

Geometria differenziale

  • Jeffrey R. Weeks - The Shape of Space 3ed (2019)
  • Tristan Needham - Visual Differential Geometry and Forms: : A Mathematical Drama in Five Acts (2021)
  • Boris A. Dubrovin, Sergej P. Novikov, Anatolij T. Fomenko - Geometria contemporanea. Metodi e applicazioni (Vol. 1-3)
  • Richard L. Bishop, Samuel I. Goldberg - Tensor Analysis on Manifolds

Geometria e Fisica

  • Hermann Weyl - Space Time Matter (1952)
  • Roger Penrose - The Road to Reality. A Complete Guide to the Laws of the Universe (2007)
    Trad.it. La Strada che porta alla realtà
  • Pietro G. Frè - A Conceptual History of Space and Symmetry. From Plato to the Superworld - (2019)
  • George F. R. Ellis - Flat and Curved Space-Times (2001)
  • V. I. Arnold - Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians (2014)
  • V. I. Arnold - Experimental Mathematics (2015)
  • V.I. Arnold - Metodi matematici della meccanica classica
  • James Nearing - Mathematical Tools for Physics (2010)
  • Alec J. Schramm - Mathematical Methods and Physical Insights (2022)
  • Frederick W. Bryon, Robert W. Fuller - Mathematics of Classical and Quantum Physics
  • Peter Szekeres - A Course in Modern Mathematical Physics. Groups, Hilbert Space and Differential Geometry (2004)
  • Mikio Nakahara - Geometry, Topology and Physics - 2_ed (2003)
  • Yvonne Choquet-Bruhat - Introduction to General Relativity, Black Holes and Cosmology - (2015)
  • Tudor D. Stanescu - Introduction to Topological Quantum Matter & Quantum Computation – (2020)

Letture divulgative in italiano

  • Jordan Ellenberg - Forma: La geometria nascosta nei dati, nella società, nella politica, nell’informazione, nell’universo e in molti altri posti
  • Piergiorgio Odifreddi - C’è spazio per tutti. Il grande racconto della geometria (2011)
  • Piergiorgio Odifreddi - Una via di fuga. Il grande racconto della geometria moderna (2011)
  • Piergiorgio Odifreddi - Abbasso Euclide! Il grande racconto della geometria contemporanea (2013)
  • Peter M. Higgins - La matematica dei social network. Introduzione alla teoria dei grafi
  • Edwin Abbott - Flatlandia. Racconto fantastico a più dimensioni
  • Marco Andreatta - La forma delle cose. L’alfabeto della geometria
  • Laura Catastini, Franco Ghione - Geometrie senza limiti: I mondi non euclidei

Letture divulgative sulla simmetria

  • Alan Holden - Shapes, Spaces and Symmetry
  • John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss - The Symmetries of Things
  • Ian Stewart - Symmetry A Very Short Introduction
  • Ian Stewart - Why Beauty Is Truth. The History of Symmetry *
    trad.it. L’eleganza della verità. Storia della simmetria
  • Ian Stewart, Martin Golubitsky - Fearful Symmetry: Is God a Geometer? *
    trad. it. Terribili simmetrie. Dio è un geometra? (1995)
  • Marcus Du Sautoy - Finding Moonshine: A Mathematician’s Journey Through Symmetry - (2012)
    trad.it. Il disordine perfetto: L’avventura di un matematico nei segreti della simmetria