Hello,
I am a latex publishing professional worked for many scientific and technical books.
I have about 15+ years of experience. I have worked for many US and UK publishers on LaTeX books.
I went through your requirement. Having worked on so many LaTeX books, I can assure you of well coded tex files, pdf created and checked for printer specification. I can also do justice to maths as I am well aware of latex symbols and commands.
I can scan or create your figures in Illustrator. I have working knowledge of Illustration as well.
Looking forward to hearing from you!
Best,
Shashi