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

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	100+1 problems in advanced calculusby Paolo Toni, Pier Domenico Lamberti, Giacomo Drago.
其他題名:	a creative journey through the fjords of mathematical analysis for beginners /
其他題名:	One hundred plus one problems in advanced calculus
作者:	Toni, Paolo.
其他作者:	Lamberti, Pier Domenico.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	xvii, 220 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Calculus
電子資源:	https://doi.org/10.1007/978-3-030-91863-7
ISBN:	9783030918637$q(electronic bk.)

100+1 problems in advanced calculusa 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$q(electronic bk.)

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

216672
Calculus

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

Dewey Class. No.: 515

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