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100+1 problems in advanced calculus ...

Toni, Paolo.

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100+1 problems in advanced calculus = a creative journey through the fjords of mathematical analysis for beginners /

Record Type:	Electronic resources : Monograph/item
Title/Author:	100+1 problems in advanced calculus/ by Paolo Toni, Pier Domenico Lamberti, Giacomo Drago.
Reminder of title:	a creative journey through the fjords of mathematical analysis for beginners /
remainder title:	One hundred plus one problems in advanced calculus
Author:	Toni, Paolo.
other author:	Lamberti, Pier Domenico.
Published:	Cham :Springer International Publishing : : 2022.,
Description:	xvii, 220 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Calculus - Problems, exercises, etc. -
Online resource:	https://doi.org/10.1007/978-3-030-91863-7
ISBN:	9783030918637

100+1 problems in advanced calculus = a creative journey through the fjords of mathematical analysis for beginners /
Toni, Paolo.

100+1 problems in advanced calculusa creative journey through the fjords of mathematical analysis for beginners /[electronic resource] :One hundred plus one problems in advanced calculusby Paolo Toni, Pier Domenico Lamberti, Giacomo Drago. - Cham :Springer International Publishing :2022. - xvii, 220 p. :ill., digital ;24 cm. - Problem books in mathematics,2197-8506. - Problem books in mathematics..

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.

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.

ISBN: 9783030918637

Standard No.: 10.1007/978-3-030-91863-7doiSubjects--Topical Terms:

546751
Calculus
--Problems, exercises, etc.

LC Class. No.: QA303.2 / .T65 2022

Dewey Class. No.: 515

100+1 problems in advanced calculus = a creative journey through the fjords of mathematical analysis for beginners /
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245 1 0 $a 100+1 problems in advanced calculus $h [electronic resource] : $b a creative journey through the fjords of mathematical analysis for beginners / $c by Paolo Toni, Pier Domenico Lamberti, Giacomo Drago.
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505 0 $a 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.
520 $a 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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