The book (Concepts of Mathematics), having four chapters on diverse topics usually included in the mathematics syllabus of the first year Engineering class of most Universities. The first chapter deals with the Number Property Theory: Divisibility rules, Property, Ratios with suitable example. A brief discussion of Trigonometry is given in the second chapter. Trigonometry chapter include various points like Trigonometric Ratios, Trigonometric Identities, ASTC Rule, Arcs, Sectors, Segments, Trigonometric Graphs, Inverse Trigonometry, Range, Domain, Graph of Sin/Cos/Tan. The third chapter deals with the Coordinate Geometry and it includes coordinate plane, distance between two point, mid point, slope of line, equation of line, transformations, shifts (horizontal and vertical), stretches. Vectors are introduced in the fourth chapter and covered vector definition, addition, subtraction, unit vector, null vector, scalar multiplication, rank, dot product. Few questions are given based on vectors for practice in the last of fourth chapter.