Mathematics in general (and therefore also geometry)
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 - (6th ed. 2021)
of a more popular nature:
Timothy Gowers - Mathematics. A Very Short Introduction
transl.it. Mathematics. An introduction. (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
transl.it. Images of Mathematics
Morris Kline - Mathematics in Western Culture - (1964)
transl.it. History of an infinite love. Mathematics in Western culture (2023)
John Courant, Herbert Rollins, Ian Stewart - What Is Mathematics?: An Elementary Approach to Ideas and Methods - (1944, 2nd ed. 1996)
transl. it. What is mathematics? (2000)
Mathematics and the real world
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)
transl.it. What is mathematics for? The unreasonable effectiveness of a discipline (2022)
Geometry in general
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
transl.it. Intuitive Geometry
Eli Maor, Eugen Jost - Beautiful Geometry
transl.it. The art of geometry (2020)
Informal topology
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)
Geometry and 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
Symmetry and group theory
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
Graphs between computer science,discrete geometry and topology
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)
Node Theory
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
Differential geometry
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, Sergei P. Novikov, Anatolij T. Fomenko - Contemporary Geometry. Methods and Applications (Vol. 1-3)
Richard L. Bishop, Samuel I. Goldberg - Tensor Analysis on Manifolds
Geometry and Physics
Hermann Weyl - Space Time Matter (1952)
Roger Penrose - The Road to Reality. A Complete Guide to the Laws of the Universe (2007)
Trad.it. The Road to Reality
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 - Mathematical methods of classical mechanics
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)
Popular readings in Italian
Jordan Ellenberg - Shape: The hidden geometry in data, society, politics, information, the universe and many other places
Piergiorgio Odifreddi - There is room for everyone. The great tale of geometry (2011)
Piergiorgio Odifreddi - An escape route. The great tale of modern geometry (2011)
Piergiorgio Odifreddi - Abbasso Euclid! The great tale of contemporary geometry (2013)
Peter M. Higgins - The mathematics of social networks. introduction to graph theory
Edwin Abbott - Flatland. multi-dimensional fantasy story
Marco Andreatta - The shape of things. The alphabet of geometry
Laura Catastini, Franco Ghione - Geometries without limits: Non-Euclidean worlds
Popular readings on symmetry
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
transl.it. The Elegance of Truth. history of symmetry
Ian Stewart, Martin Golubitsky - Fearful Symmetry: Is God a Geometer?
transl. it. terrible symmetries. is God a geometer? (1995)
Marcus Du Sautoy - Finding Moonshine: A Mathematician’s Journey Through Symmetry - (2012)
transl.it. The perfect disorder: A mathematician’s adventure into the secrets of symmetry