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This volume comprises the lectures given at the Fifth Anniversary Symposium held at the Institute of Mathematical Sciences, Madras, India, during January 1967. Professor Dallaporta of Padua delivered the inaugural address on the fundamental problem of quasars "whose study appears to hold im plications for cosmology." He presented a critical review of several attempts to understand their exceptionally large red shifts and also discussed the physical theories concerning the cause of the explosions which give rise to the quasars and to the tremendous energy output they require - questions which still remain unanswered. He stated, in concluding, that we may have to invoke certain aspects of the present theories of elementary particles in order to unravel these mysteries. Professor Mercier, well known for his studies on the philosophical foundations of modern physics, critically examined the various at tempts, such as that of Einstein, to formulate a unified field theory.

Symposia on Theoretical Physics and Mathematics 8: Lectures presented at the 1967 Fifth Anniversary Symposium of the Institute of Mathematical Sciences Madras, India

A General Outlook on the Quasars.- On the Unification of Physical Theories.- A Note on the Representations of Dirac Groups.- Relativistic Wave Equations for Higher Spin and Their Quantization.- Contributions to the Relativistic Generalization of the Kinetic Theory of Gases and Statistical Mechanics.- Variational Methods in Scattering Theory.- The (?+, 2p) Reactions on Nuclei.- Muon Capture as a Probe for Nuclear Structure.- Functional Differential Equations.- On Some Convex Functions and Related Inequalities.- On Harmonic Differential Forms in a General Manifold.- Developments in the Theory of Univalent Functions.- Generalized Analytic Continuation.- Congruent Embedding into Boolean Vector Spaces.- Raikov Systems.- Certain Problems in the Design of Programmed-Motion Systems.- Author Index.