Bộ sách luyện thi ETS 2023 LC&RC
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Sách Mathematical Analysis Functions of Several Real Variables and Applications (sách keo gáy, bìa mềm)
Thể loại:Mathematics - Analysis
Tập:137
Năm:2022
In lần thứ:1
Ngôn ngữ:english
Trang: 678
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-Arzelà 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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