This book covers the following topics: Basic Topological, Metric and
Banach Space Notions, The Riemann Integral and Ordinary Differential Equations,
Lebesbgue Integration Theory, Fubini’s Theorem, Approximation Theorems and
Convolutions, Hilbert Spaces and Spectral Theory of Compact Operators, Synthesis
of Integral and Differential Calculus, Miracle Properties of Banach Spaces.
This
book explain the solution of the following two problems: obtaining of Kepler's
laws from Newton's laws and obtaining the fourth Newton's law as a corollary of
Kepler's laws. This small book is devoted to the scholars, who are interested in
physics and mathematics.
This book is intended for beginners. Topics covered includes: Fundamental
Rules for Differentiation, Tangents and Normals, Asymptotes, Curvature,
Envelopes, Curve Tracing, Properties of Special Curves, Successive
Differentiation, Rolle's Theorem and Taylor's Theorem, Maxima and Minima,
Indeterminate Forms.
This book emphasis on
systematic presentation and explanation of basic abstract concepts of
differential Calculus. Topics covered includes: Limits, Continuity and
Differentiation of Real Functions of One Real Variable, Differentiation and
Sketching Graphs Using Analysis.