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The present book is the fourth issue of a series explaining various terms and concepts in Mathematics and Statistics. Introducing the topics in concise form of definitions, main results, theorems and examples, it may serve as a reference book. The topics arranged in alphabetical order starting from Algebra (Classical) and covering up to Geometry (3- dimensional Coordinate) were included in the first volume. Further topics from Differential Geometry up to Jacobians have been included in volume 2, while volume 3 includes the topics from Laplace Transform up to Special Functions. The present volume deals with the topics from Statics up to Vector Spaces.