The Net Advance of Physics:
GEOMETRY:

GEOMETRY:

• General: TEXTBOOKS:
  • The Elements by Euclid. (Complete Greek text with English translation by Richard Fitzpatrick, 2008).
    • The First Six Books of Euclid's Elements, in Which Coloured Diagrams and Symbols are Used Instead of Letters for the Greater Ease of Learners by Oliver Byrne [London: Pickering, 1847]
  • Planimetry by A. P. Kiselyov [1892] 236 pp. In Russian. The Glagolev edition of the famous geometry textbook, slightly revised by N. Ershov et al.
  • Elementary Synthetic Geometry by George Bruce Halsted [New York: Wiley, 1896]

• Types: ALGEBRAIC GEOMETRY; DIFFERENTIAL GEOMETRY; FINSLER; NON-COMMUTATIVE; RIEMANNIAN; SYMPLECTIC; TROPICAL;

• Type: COMPUTATIONAL:
  • Statistical depth meets computational geometry: a short survey by Peter J. Rousseeuw and Mia Hubert [2015/08]

• Type: CONTACT:
  • Topological Methods in the Quest for Periodic Orbits by Joa Weber [2018/02]

• Type: DISCRETE / DIGITAL:
  • Digital Geometry: A Survey by Li Chen and David Coeurjolly [2018/07]

• Type: EUCLIDEAN:
  • Geometry Formulas and Facts by Silvio Levy [From CRC Standard Mathematical Tables and Formulas, 30th Edition, (1995)]

  • Euclid's Elements:
    • The thirteen books of Euclid's Elements. Original Greek text with Heath's English translation. [Clay Mathematics Institute]
    • Java Version by D. E. Joyce [Clark University, 1998] Attempts to illustrate every proposition with the Geometry Applet.
    • Euclid's Elements of Geometry. Oliver Byrne's (amazing) 1847 illustrated translation, with modern notes, links to the Perseus Project's Greek text, and more. [University of British Columbia]
  • Euclidean distance geometry and applications by Leo Liberti et al. [2012/05]

• Type: EUCLIDEAN: CURVES & SURFACES:
  • General:
    • Geometry Formulas and Facts by Silvio Levy [From CRC Standard Mathematical Tables and Formulas, 30th Edition, (1995)]
    • Library of Curves and Surfaces [Harvey Mudd College]
    • Geometry on surfaces, a source for mathematical developments by N. A'Campo and A. Papadopoulos [2024/02]

  • Some Particular Curves: WITCH OF AGNESI;

• Type: EUCLIDEAN: Re: CLIFFORD ALGEBRA:
  • Treatise of plane geometry through the geometric algebra by Ramon González Calvet (2001/07)

• Type: FINITE:
  • Finite Euclidean and Non-Euclidean Geometries by René De Vogelaere [1991] 786 pp.

• Type: EUCLIDEAN: LATTICES:
  • Euclidean Lattices, Theta Invariants, and Thermodynamic Formalism by Jean-Benoît Bost [2019/09]

• Type: HYPERBOLIC:
  • The geometry of sound rays in a wind by G. W. Gibbons and C. M. Warnick [2011/02]
  • Hyperbolic geometry by B. Loustau [2020/03] 181 pp.

• Type: INCIDENCE:
  • Ruled surface theory and incidence geometry by Larry Guth [2016/06]

• Type: MORPHOMETRIC:
  • Riemannian Geometry for Shape Analysis and Computational Anatomy by Martins Bruviers [2018/07]

• Type: NON-ARCHIMEDEAN:
  • Non-Archimedean Geometry [MathWorld]
  • Non-Archimedean Geometry and Physics on Adelic Spaces by Branko Dragovich (2003/06)

• Type: PROJECTIVE:
  • On Hilbert's Fourth Problem by Athanase Papadopoulos [2013/12]
  • An introduction to Noncommutative Projective Geometry by Daniel Rogalski [2014/03]
  • Map Projection by Ebrahim Ghaderpour [2014/12]
  • The Octonionic Projective Plane by Malte Lackmann [2019/09]

• Type: RANDOM:
  • What is a random surface? by S. Sheffield [2022/03]

• Aspects: SPHERES; POLYHEDRA;

• Aspects: MEASURE THEORY:
  • Rectifiability: A survey by P. Mattila [2021/12] 124 pp.

• Aspects: ORIGAMI:
  • Geometrische Konstruktionen und Origami by Kay Paulus [2018/10]

• Aspects: PACKINGS:
  • Patterns formed by coins by A. M. Mishchenko [2013/04] Graph theory of circle packing.
  • Three lectures on statistical mechanics by Veit Elser [2014]
  • The magic of 8 and 24 by A. Okounov [2022/07] Sphere packing.

• Aspects: TESSELLATIONS:
  • Three lectures on statistical mechanics by Veit Elser [2014]
  • Tessellations by Chaim Goodman-Strauss [2016/06]
  • Can You Pave The Plane Nicely With Identical Tiles? by Chuanming Zong [2018/03] Amazingly, this ancient problem does not seem to have been entirely resolved until 2017.
  • Tesselations of surfaces by G. Faraco [2023/03]

• Aspects: TRANSFORMATIONS: CONFORMAL:
  • From the Lorentz Group to the Celestial Sphere by Blagoje Oblak [2015/08]

• Aspects: TRANSFORMATIONS: MÖBIUS:
  • RF engineering basic concepts: the Smith chart by F. Caspers [2012/01]

• Re: QUANTUM MECHANICS;

• Re: DYNAMICAL SYSTEMS:
  • Lines in positive genus: An introduction to flat surfaces by Diana Davis [2015/07]

• Re: GRAPH THEORY:
  • Distance Geometry and Data Science by Leo Liberti [2019/09]

• Re: THERMODYNAMICS:
  • Euclidean Lattices, Theta Invariants, and Thermodynamic Formalism by Jean-Benoît Bost [2019/09]

THE NET ADVANCE OF PHYSICS