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The book presents an introduction to mathematics starting right
from the natural numbers. Covering a vast range of topics in
Arithmetic, Algebra, Trigonometry, Coordinate Geometry, Theory of
Equations, Sets, Matrices and Determinants, Solid Geometry,
Calculus (both Differential and Integral), Analysis the book
concludes with a chapter on Complex Numbers. Altogether, it has
eleven chapters. Generally, the proofs are avoided but many results
especially in Algebra, Trigonometry, Coordinate Geometry and
Complex Numbers have been established. Fundamental theorems of
Arithmetic, Algebra and Calculus are also given. The book is not
intended to be a comprehensive text rather it offers a crash course
of basic mathematics to the beginners and as a reference book to
the advanced learners. Infinity ( ) is generally mistaken as a
number or the logarithm of a negative number is just undefined
concept at least to the beginners. These misconceptions are removed
here. Almost all the authors claim r2 as the area of a circle of
radius r (which, indeed, is zero) for circle having length (i.e.
its circumference 2 r) only and is supposed to be of width zero.
None takes pains to call r2 as the area of a circular (plane)
region of radius r.
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