Skip to main content
SpringerLink
Log in

The Scottish Book. Mathematics from the Scottish Café, with Selected Problems from the New Scottish Book, second edition Edited by R. Daniel Mauldin

BASEL: BIRKHÄUSER, 2015, XVIII+322 PP., US $139.99, ISBN: 978-3-319-22896-9; 978-3-319-22897-6

  • Book Review
  • (Osmo Pekonen, Editor)
  • Published:
The Mathematical Intelligencer Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Figure 1
Figure 2
Figure 3

Notes

  1. Lvov’s prewar population of around \(340\,000\) was about 30% Jewish; almost all of the Jewish inhabitants perished.

References

  1. V. Arnold. Arnold’s Problems. Springer, Berlin; PHASIS, Moscow, 2004.

  2. H. Auerbach. Sur un problème de M. Ulam concernant l’équilibre des corps flottants. Studia Math. 7 (1938), 121–142.

    Article  Google Scholar 

  3. G. Bor, M. Levi, R. Perline, and S. Tabachnikov. Tire tracks and integrable curve evolution. Int. Math. Res. Notes, available online at https://doi.org/10.1093/imrn/rny087, 2018.

  4. J. Bracho, L. Montejano, and D. Oliveros. A classification theorem for Zindler carrousels. J. Dynam. Control Systems 7 (2001), 367–384.

  5. J. Bracho, L Montejano, and D. Oliveros. Carousels, Zindler curves and the floating body problem. Period. Math. Hungar. 49 (2004), 9–23.

  6. R. Duda. Pearls from a Lost City: The Lvov School of Mathematics. American Math. Society, 2014.

  7. R. Foote, M. Levi, and S. Tabachnikov. Tractrices, bicycle tire tracks, hatchet planimeters, and a 100-year-old conjecture. Amer. Math. Monthly 120 (2013), 199–216.

  8. R. Gardner. Geometric Tomography, second edition. Cambridge University Press, 2006.

  9. G. H. Halphen. La corbe élastique plane sous pression uniforme. Chapter V in Traité des fonctions elliptiques et de leurs applications. Deuxième partie: Applications à la mécanique, à la physique, à la géodésie, à la géométrie et au calcul intégral. Gauthier-Villars et fils, Paris, 1888.

  10. J. Konhauser, D. Velleman, and S. Wagon. Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries. Math. Assoc. of America, 1996.

  11. M. Levi. Schrödinger’s equation and “bike tracks”—a connection. J. Geom. Phys. 115 (2017), 124–130.

    Article  MathSciNet  Google Scholar 

  12. M. Levi and S. Tabachnikov. On bicycle tire tracks geometry, hatchet planimeter, Menzin’s conjecture, and oscillation of unicycle tracks. Experimental Math. 18:2 (2009), 173–186.

    Article  MathSciNet  Google Scholar 

  13. M. M. Lévy. Mémoire sur un nouveau cas intégrable du problème de l’élastique et l’une de ses applications. Journal de Math. Pures et Appliquées sér. 3 X (1884), 5–42.

  14. G. Minton. Knotted field lines and computer-assisted proof. Available at https://jointmathematicsmeetings.org/amsmtgs/2168_abstracts/1106-65-2198.pdf.

  15. H. Steinhaus. Mathematical Snapshots. Oxford University Press, 1950.

  16. H. Steinhaus. One Hundred Problems in Elementary Mathematics. Basic Books, 1964.

  17. S. Tabachnikov. Tire track geometry: Variations on a theme. Israel J. Math. 151 (2006), 1–28.

    Article  MathSciNet  Google Scholar 

  18. S. Tabachnikov. On the bicycle transformation and the filament equation: Results and conjectures. J. Geom. Phys. 115 (2017), 116–123.

    Article  MathSciNet  Google Scholar 

  19. S. Ulam. Problems in Modern Mathematics. John Wiley & Sons, 1964.

  20. F. Wegner. Floating bodies of equilibrium. Stud. Appl. Math. 111 (2003), 167–183.

    Article  MathSciNet  Google Scholar 

  21. F. Wegner. Floating bodies of equilibrium I. arXiv:physics/0203061.

  22. F. Wegner. Floating bodies of equilibrium II. arXiv:physics/0205059.

  23. F. Wegner. Floating bodies of equilibrium. Explicit solution. arXiv:physics/0603160.

  24. F. Wegner. Floating bodies of equilibrium in 2D, the tire track problem and electrons in a parabolic magnetic field. arXiv:physics/0701241.

  25. F. Wegner. Three problems—one solution. Available at http://www.tphys.uni-heidelberg.de/~wegner/Fl2mvs/Movies.html#float.

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Pennsylvania State University, University Park, PA, 16802, USA

    Serge Tabachnikov

Authors
  1. Serge Tabachnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Serge Tabachnikov.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

If you are interested in submitting an unsolicited review of a book, film, exhibition, or other object of mathematical interest to the Mathematical Intelligenceror would welcome being assigned a review, please contact the column editor.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Tabachnikov, S. The Scottish Book. Mathematics from the Scottish Café, with Selected Problems from the New Scottish Book, second edition Edited by R. Daniel Mauldin. Math Intelligencer 42, 71–74 (2020). https://doi.org/10.1007/s00283-019-09931-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00283-019-09931-6

Search

Navigation