Calculus Problems

December 2016 | ISBN-10: 3319154273 | 336 Pages | PDF | 5.74 mb

Authors: Baronti, M., De Mari, F., van der Putten, R., Venturi, I.
Several step-by-step (and absolutely to-the-point!) tutorials help the reader to more quickly learn the material
Offers solved problems that are similar to those assigned in actual tests
Combines a self-contained approach with accessible solved problems

This book, intended as a practical working guide for calculus students, includes 450 exercises. It is designed for undergraduate students in Engineering, Mathematics, Physics, or any other field where rigorous calculus is needed, and will greatly benefit anyone seeking a problem-solving approach to calculus. 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.

Number of Pages
XIII, 366
Number of Illustrations and Tables
132 b/w illustrations
Topics
Analysis
Calculus of Variations and Optimal Control; Optimization

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