Complexity of Lattice Problems

In Mathematical Foundations of Public Key Cryptography, the authors integrate the results of more than 20 years of research and teaching experience to help students bridge the gap between math theory and crypto practice.

From the reviews:
“Tells the history of the LLL algorithm and paper. … this helpful and useful volume is a welcome reference book that covers nearly all applications of lattice reduction.”
[Samuel S. Wagstaff, Jr., Mathematical Reviews, Issue 2011 m]

The book introduces new techniques that imply rigorous lower bounds on the com­ plexity of some number-theoretic and cryptographic problems.

Authors: Becchi, Carlo Maria, D'Elia, Massimo
New to this edition is a more detailed discussion on Lorentz transformations, a deeper treatment of quantum mechanics, and a closer comparison of statistical mechanics in classical and in quantum physics
Includes more worked examples of relevant applications as well as solved problems
Provides a rigorous and self-contained presentation within the simplest theoretical framework and using elementary mathematical tools

solidThinking, Inc. announced the availability of Inspire 2018, is a concept design tool that uses topology, topography, lattice, and gauge optimization to produce structural shapes in response to loads. The resulting shapes are polymeshes you can export to other computer-aided design tools as a source of inspiration for your designs. You can also generate .stl files for rapid prototyping.