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Mathematical Analysis - Functions of Several Real Variables and Applications (Paperback, 1st ed. 2022)
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Mathematical Analysis - Functions of Several Real Variables and Applications (Paperback, 1st ed. 2022)
Series: La Matematica per il 3+2, 137
Expected to ship within 9 - 15 working days
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This work is a textbook on Mathematical Analysis written by expert
lecturers in the field. This textbook, other than the classical
differentiation and integration tools for functions of several real
variables, metric spaces, ordinary differential equations, implicit
function and so on, also provides opportunities to go deeper into
certain topics: among them, the Ascoli-Arzela theorem, the
regularity of convex functions in R^n, L^p spaces and absolutely
continuous functions, all topics that are paramount in modern
Mathematical Analysis. Other instances include the Weierstrass
theorem on polynomial approximation of continuous functions or
Peano's existence theorem (typically only existence, without
uniqueness) for nonlinear ODEs and systems under general
assumptions. The content is discussed in an elementary way and, at
a successive stage, some topics are examined from several, more
penetrating, angles. The agile organization of the subject matter
helps instructors to effortlessly determine which parts to present
during lectures and where to stop. The authors believe that any
textbook can contribute to the success of a lecture course only to
a point, and the choices made by lecturers are decisive in this
respect. The book is addressed to graduate or undergraduate honors
students in Mathematics, Physics, Astronomy, Computer Science,
Statistics and Probability, attending Mathematical Analysis courses
at the Faculties of Science, Engineering, Economics and
Architecture.
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