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The main subject of this introductory course is transverse optics in cyclic high energy accelerators. It is based on three one-hour lectures on "Basic transverse optics" given at the CERN Accelerator Schools (P. Schmüser, 1986 , 1988, 1990, and J. Rossbach, 1992. Although the emphasis is on periodic solutions and their stability, application of the formalism to non-periodic structures is also treated. We have not expanded the material beyond what can be covered in 3 lectures, but the proofsdoi:10.5170/cern-1994-001.17 fatcat:jmkui4sbkzef7keouvpistm4qe