Preface -- Contents -- Introduction -- 1.1 From classical mechanics to symplectic geometry -- 1.2 Symplectic embedding obstructions -- 1.3 Symplectic embedding constructions -- Proof of Theorem 1 -- 2.1 Comparison of the relations ≤ -- 2.2 Rigidity for ellipsoids -- 2.3 Rigidity for polydiscs ? -- Proof of Theorem 2 -- 3.1 Reformulation of Theorem 2 -- 3.2 The folding construction -- 3.3 End of the proof -- Multiple symplectic folding in four dimensions -- 4.1 Modification of the folding construction -- 4.2 Multiple folding -- 4.3 Embeddings into balls -- 4.4 Embeddings into cubes -- Symplectic folding in higher dimensions -- 5.1 Four types of folding -- 5.2 Embedding polydiscs into cubes -- 5.3 Embedding ellipsoids into balls -- Proof of Theorem 3 -- 6.1 Proof of lim -- 6.2 Proof of lim -- 6.3 Asymptotic embedding invariants -- Symplectic wrapping -- 7.1 The wrapping construction -- 7.2 Folding versus wrapping -- Proof of Theorem 4 -- 8.1 A more general statement -- 8.2 A further motivation for Problem -- 8.3 Proof by symplectic folding -- 8.4 Proof by symplectic lifting -- Packing symplectic manifolds by hand -- 9.1 Motivations for the symplectic packing problem -- 9.2 The packing numbers of the 4-ball and -- 9.3 Explicit maximal packings in four dimensions -- 9.4 Maximal packings in higher dimensions -- Appendix -- Bibliography -- Index.