Calculus problems

by Baronti, Marco

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Title Statements

Full title :Calculus problems / Marco Baronti, Filippo De Mari, Robertus van der Putten, Irene Venturi.

Summary

This book, intended as a practical working guide for students in engineering, mathematics, physics, or any other field where rigorous calculus is needed, includes 450 exercises. Each chapter starts with a summary of the main definitions and results, which is followed by a selection of solved exercises accompanied by brief, illustrative comments. A selection of problems with indicated solutions rounds out each chapter. A final chapter explores problems that are not designed with a single issue in mind but instead call for the combination of a variety of techniques, rounding out the book's coverage. Though the book's primary focus is on functions of one real variable, basic ordinary differential equations (separation of variables, linear first order and constant coefficients ODEs) are also discussed. The material is taken from actual written tests that have been delivered at the Engineering School of the University of Genoa. Literally thousands of students have worked on these problems, ensuring their real-world applicability.

Edition Statements

Publication Date:2016

Publication Statements

Publisher(s):Springer
Place of Publication:Switzerland
Language:eng
Publication Date:2016

The Physical Object

Description:xiii, 366 pages : : illustrations ; : 24 cm.

Edition Identifiers

ISBN:9783319154275, 3319154273
oclc:ocn899229635
LC Classification:QA303.2
Dewey Decimal:515.076

Manipulation of graphs -- Invertible mappings -- Maximum, minimum, supremum, infimum -- Sequences -- Limits of functions -- Continuous functions -- Differentiable functions -- Taylor expansions -- The geometry of functions -- Indefinite and definite integrals -- Improper integrals and integral functions -- Numerical series -- Separation of variables -- First order linear differential equations -- Constant coefficient linear differential equations -- Miscellaneous.