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This stuy presents the theory of image and contrast formation, and the analytical modes in transmission electron microscopy. The principles of the particle-and wave-optics of electrons are described. Electron-specimen interactions are discussed for evaluating the theory of scattering and phase contrast. Also analyzed are the kinematic and dynamical theories of electron diffraction and their applications for crystal-structure determination and the imaging of lattices and their defects. X-ray microanalysis and electron energy-loss spectroscopy are treated as analytical methods. This third edition includes a brief discussion of Schottky emission guns, some clarification of minor details, and references to the recent literature.