100-1 Problems in Advanced Calculus

100+1 Problems in Advanced Calculus 1st Edition

100+1 Problems in Advanced Calculus 1st Edition by Paolo Toni, Pier Domenico Lamberti and Giacomo Drago

Contents of 100+1 Problems Advanced Calculus Book

  • Summary of basic theory of inequalities
  • Sets, sequences, functions
  • Limits of functions, continuity
  • Differentiation
  • Classical Theorems of differential calculus
  • Monotonicity, concavity, minima, maxima, inflection points
  • Graphs of functions
  • Integrals

About The Book

This book brings together a carefully selected collection of problems in mathematical analysis, laid out to maximize synergy between analytic geometry and algebra and favor mathematical creativity as opposed to only iterative methods.

This book brings together a carefully selected collection of problems in mathematical analysis, laid out to maximize synergy between analytic geometry and algebra and favor mathematical creativity as opposed to only iterative methods.

This book brings together a handpicked set of problems in mathematical analysis, laid out to maximize synergy between analytic geometry and algebra and favor mathematical creativity as opposed to only iterative methods.

Over eight chapters, this work guides the student through the basic principles of the subject, at a level of complexity that requires good use of the imagination.

In this work, all the basic concepts seen in a first-year calculus course are covered. The problems touch on topics such as inequalities, initial point set topology, limits of real-valued functions, differentiation, classical theories of differential calculus (Rolle, Lagrange, Cauchy, l’Hospital), graphs of functions, Riemann integrals and antiderivatives.

Each chapter begins with a theoretical background, in which relevant definitions and theories are given; Then the related problems are displayed. Formalism is kept to a minimum, and solutions can be found at the end of each chapter.

Teachers and students of mathematical analysis, calculus, and advanced calculus aimed at first-year undergraduate students in mathematics, physics, and engineering courses can benefit greatly from this book, which can also serve as a rich supplement to any traditional textbook on these subjects as well

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