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In a single text, the student gets a glimpse of a big picture
The treatment of mathematical analysis is rigorous and self-contained
Can be used not only as a textbook for a course but also as a reference book for lecturers in analysis or mathematicians and scientists in general
The book begins at an undergraduate student level, assuming only basic knowledge of calculus in one variable. It rigorously treats topics such as multivariable differential calculus, the Lebesgue integral, vector calculus and differential equations. After having created a solid foundation of topology and linear algebra, the text later expands into more advanced topics such as complex analysis, differential forms, calculus of variations, differential geometry and even functional analysis. Overall, this text provides a unique and well-rounded introduction to the highly developed and multi-faceted subject of mathematical analysis as understood by mathematicians today.