1 Table of Contents: “... functions -- Lipschitz functions and embeddings -- Path integrals and modulus -- Upper gradients -- Sobolev...”

2 Table of Contents: “...; inequality and the first eigenvalue; 6. Gradient estimate and Harnack inequality; 7. Mean value inequality; 8...”

3 Table of Contents: “... inequalities -- 3. Nonlinear eigenvalue problems -- 4. Elliptic systems of gradient type -- 5. Systems...”

4 “... for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted...”

5 “..., (stochastic) gradient descent, variational Bayes, Monte Carlo, importance sampling and Markov chain Monte...”