This e-book makes a speciality of the vintage Steiner challenge and illustrates how result of the problem's improvement have generated the speculation of minimum Networks, that's platforms of "rubber" branching threads of minimum size. This concept demonstrates a super interconnection between differential and computational geometry, topology, variational calculus, and graph conception. All useful initial details is integrated, and the book's simplified structure and approximately a hundred and fifty illustrations and tables may also help readers advance a concrete realizing of the fabric. All nontrivial statements are proved, and lots of workouts are incorporated.

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