Description 
1 online resource (233 pages) 
Series 
Problem books in mathematics 

Problem books in mathematics.

Contents 
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 
Summary 
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 firstyear Calculus course are covered. Problems touch on topics like inequalities, elementary pointset topology, limits of realvalued functions, differentiation, classical theorems of differential calculus (Rolle, Lagrange, Cauchy, and lHospital), 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 firstyear 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 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed March 18, 2022) 
Subject 
Calculus  Problems, exercises, etc


Calculus.


Càlcul.

Genre/Form 
Problems and exercises.


Problems and exercises.


Problemes i exercicis.


Llibres electṛnics.

Form 
Electronic book

Author 
Lamberti, Pier Domenico


Drago, Giacomo

ISBN 
9783030918637 

3030918637 
