  In this paper a novel calculus system has been established based on the
concept of 'werden'. The basis of logic self-contraction of the theories on
current calculus was shown. Mistakes and defects in the structure and meaning
of the theories on current calculus were exposed. A new quantity-figure model
as the premise of mathematics has been formed after the correction of
definition of the real number and the point. Basic concepts such as the
derivative, the differential, the primitive function and the integral have been
redefined and the theories on calculus have been reestablished. By historical
verification of theories on calculus, it is demonstrated that the
Newton-Leibniz theories on calculus have returned in the form of the novel
theories established in this paper.
