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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
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100+1 Problems in Advanced Calculus - A Creative Journey through the Fjords of Mathematical Analysis for Beginners (Hardcover, 1st ed. 2022)
Loot Price: R1,003
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100+1 Problems in Advanced Calculus - A Creative Journey through the Fjords of Mathematical Analysis for Beginners (Hardcover, 1st ed. 2022)
Series: Problem Books in Mathematics
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
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This book convenes a collection of carefully selected problems in
mathematical analysis, crafted to achieve maximum synergy between
analytic geometry and algebra and favoring mathematical creativity
in contrast to mere repetitive techniques. With eight chapters,
this work guides the student through the basic principles of the
subject, with a level of complexity that requires good use of
imagination. In this work, all the fundamental concepts seen in a
first-year Calculus course are covered. Problems touch on topics
like inequalities, elementary point-set topology, limits of
real-valued functions, differentiation, classical theorems of
differential calculus (Rolle, Lagrange, Cauchy, and l'Hospital),
graphs of functions, and Riemann integrals and antiderivatives.
Every chapter starts with a theoretical background, in which
relevant definitions and theorems are provided; then, related
problems are presented. Formalism is kept at a minimum, and
solutions can be found at the end of each chapter. Instructors and
students of Mathematical Analysis, Calculus and Advanced Calculus
aimed at first-year undergraduates in Mathematics, Physics and
Engineering courses can greatly benefit from this book, which can
also serve as a rich supplement to any traditional textbook on
these subjects as well.
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