1 Table of Contents: “...1. Basics on Morse homology -- 2. Perturbations of gradient flow trajectories -- 3. Nonlocal...”

2 Table of Contents: “...Generic bifurcation of periodic points -- Singularity theory for equivariant gradient bifurcation...”

3 Table of Contents: “.... General properties of the Morse-Smale diffeomorphisms -- 3. The topological classification of the gradient...”

4 Table of Contents: “... equations -- 2.8 A homotopy index continuation method and periodic solutions of second-order gradient...”

5 Table of Contents: “... as Wasserstein-type gradient flows (X. Fernández-Real) -- On the Origins, Nature and Impact of Bourgain...”

6 “...Classical vector analysis deals with vector fields; the gradient, divergence, and curl operators...”

7 “... gradient. The book highlights the mean curvature operator and its variants, and investigates the validity...”

8 Table of Contents: “...Remarks and Examples -- An Analytic Definition of the Gradient Equivariant Degree -- Technicalities...”

9 “... gradient vector field f = - \lU of the potential energy U, and denotes the difference of the kinetic energy...”

10 Table of Contents: “..., Susan Electrodeposition in support: concentration gradients, an ohmic model and the genesis of branching...”

11 Table of Contents: “... Gradient -- 1.4 Harmonic Functions -- 1.5 Weakly Harmonic Functions -- 1.6 Harmonic Approximation Lemma...”