The curiosity of human beings to study things beyond his earth, many countries sent rockets and satellites to get to know the outer space. Many expeditions to space have been carried out by different countries like USSR, USA, China, Japan, and India, and European Space Agency from time to time. The present treatise Glimpses of Space Exploration consists of thirty-six chapters dealing with unmanned and manned space flights in order to explore the space beyond the earth's atmosphere. The dream and the quest for the great aviation are enunciated herein. Starting from the earth's orbit, its shape, its atmosphere launching of various satellites to the celestial space, this book sheds enough light on space observations. Further, various types of rockets like GSLV, ARIANE and Indian rockets are vividly discussed here. EDUSAT and NANOSAT form a part of this monograph, including NASA's five significant missions, moon missions of various countries, India's Aditya-1 mission, radiowaves from space, discovery of gravitational waves, and scramjet technology in Indian rocketry. Special attention has been given to focus on Einstein's Universe, solar energy, meteorology and women in space science. Global positioning system and sustenance of life with light are also dealt with. After landing on the moon, space-scientists investigate about the environmental conditions of the planetary bodies like Venus and Mars, and make serious researches on whether such conditions are suitable for living creatures. Space applications benefit for sure human race in many ways a lot to be done in the time to come.