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References E.6 Other References

Some books are just interesting, even if they are not primarily about number theory. I enjoyed all of these a great deal and recommend them.
[1]
  
Richard Evans Schwartz, You Can Count on Monsters, A K Peters, (2010) (Website 64 )
Note.
This delightful picture book has a different monster for each prime number, with bizarre combinations for composites. Personal experience says it satisfies for ages three and up.
[2]
  
Nathan Carter, Visual Group Theory, Mathematical Association of America, (2009). (Website 65 )
Note.
Visualize group theory; gorgeous pictures.
[3]
  
John H. Conway and Richard Guy, The Book of Numbers, Springer, (1996). (Website 66 )
Note.
A joyous and pictorially engaging romp.
[4]
  
Arthur T. Benjamin and Ezra Brown (eds.), Biscuits of Number Theory, Mathematical Association of America, (2009). (Website 67 )
Note.
A very good compendium of many articles (published throughout the years) most appropriate for teachers of undergraduate number theory.
[5]
  
Kerins et al., Famous Functions in Number Theory, American Mathematical Society, (2015). (Website 68 )
Note.
Aimed at bringing number theory to in-practice or pre-practice educators, this has a very nice treatment of arithmetic functions. Once you’ve heard of summation and Moebius inversion as ‘parent’ and ‘child’ relationships, you’ll never think of them the same again.
[6]
  
Kerins et al., Applications of Algebra and Geometry to the Work of Teaching, American Mathematical Society, (2015). (Website 69 )
Note.
Aimed at bringing algebra and geometry to in-practice or pre-practice educators; manages to bring Gaussian and Eisenstein integers and some quadratic forms in at the ground level.
[7]
  
T. S. Michael, How to Guard an Art Gallery, Johns Hopkins, (2009) (Website 70 )
Note.
The subtitle is “and other discrete mathematical adventures”, and that about says it. Covers a surprising amount of number theory in very visual ways.
[8]
  
Robert Young, Excursions in Calculus: An Interplay of the Continuous and Discrete, Mathematical Association of America, (1992) (Website 71 )
Note.
Unfortunately no longer in print, but a very good source of ideas for connecting what we usually think of as the continuous world of calculus and various discrete topics (not just number theory, though this shows up in several chapters).
[9]
  
Dora Musielak, Prime Mystery: The Life and Mathematics of Sophie Germain, AuthorHouse, (2015) (Website 72 )
Note.
The title says it all, and probably the most comprehensive resource on this intriguing mathematician out there. As is typical for a samizdat, it could use more editing and probably speculates a bit much, but given how little we know about Germain still impressive.
[10]
  
Alan Beardon, Mathematical Exploration, Cambridge, (2016) (Website 73 )
Note.
Part of the AIMS 74  Library Series, this book includes plenty of fun, directed, proto-research on topics like families of Pythagorean triples and the conductor. Explore!
[11]
  
Apostolos Doxiadis, Uncle Petros and Goldbach’s Conjecture, Bloomsbury, (2000) (Website 75 )
Note.
This ‘novel of mathematical obsession’ is a Bildungsroman of sorts that does a surprisingly good job of also introducing the still-unproven conjecture that any even number greater than four is the sum of two odd primes.
[12]
  
Riley Tipton Perry, Quantum Computing from the Ground Up, World Scientific, (2012) (Website 76 )
Note.
The best elementary introduction to quantum computing I’ve yet found. That doesn’t make it easy, but it could certainly be used with undergraduates with a modicum of linear algebra and familiarity with complex numbers (and circuitry!). Yes, Shor’s algorithm and QFT is outlined at this level, rather remarkably.
www.richardevanschwartz.com/monsters.html
www.maa.org/publications/ebooks/visual-group-theory
www.springer.com/us/book/9780387979939
www.maa.org/press/books/biscuits-of-number-theory
bookstore.ams.org/sstp-3/
bookstore.ams.org/sstp-2
jhupbooks.press.jhu.edu/content/how-guard-art-gallery-and-other-discrete-mathematical-adventures
www.maa.org/publications/books/excursions-in-calculus
www.authorhouse.com/BookStore/BookDetails/703856-Prime-Mystery
www.cambridge.org/core/books/mathematical-explorations/F926A2DFE3FEC8B34542EC598C8D7DE3
aims.ac.za
apostolosdoxiadis.com/book/uncle-petros-and-goldbachs-conjecture/
www.worldscientific.com/worldscibooks/10.1142/8515