Problems In Calculus Of One Variable is a book that provides the readers with key insights into important concepts pertaining to calculus.
Summary Of The Book
Problems In Calculus Of One Variable is aimed at providing the readers with a solid grounding in calculus with one variable. This book came into being as a result of Maron’s extensive teaching experience at a higher technical institute. Each chapter in this book starts off with a brief introduction of the following concepts, defining important terms and theorems. Through the course of this book, Maron has emphasized on presenting the readers with problems that help them gain a sound theoretical understanding of the subject. Basic concepts in each chapter have been listed in the form of points, enabling the readers to grasp them quickly.
This book contains eight chapters in total. Some chapters include Applications of the Definite Integral, Basic Classes of Integrable Functions, Differentiation of Functions, and Introduction to Mathematical Analysis.
In the first half of this book, Maron guides the readers into functions, number sequences, inverse functions, and evaluating a sequence’s limit. He also throws light on derivatives, the Leibniz formula, and applying Taylor’s formula for evaluating limits. The readers are also guided into integration by substitution, and integration by parts.
The second half of this book contains a truckload of information on integration of rational functions, binomial differentiation, and trigonometric functions. Maron also explains how to utilize the Newton-Leibniz formula for evaluating a definite integral, and physical and geometric applications of improper integrals.
In each chapter, Maron has included detailed methods for solving problems. There are a number of practice problems that are given as well, for testing the reader’s understanding. Additionally, hints and selected answers are provided at the end of this book. At the end of this book, the readers are also provided with miscellaneous examples to illustrate the concepts further. The exercises present in Problems in Calculus of One Variable are suitable for those preparing for engineering entrance exams such as the AIEEE. Additionally, lecturers may also find the content of this book useful for assigning class work or utilizing it in seminars.
This edition of Problems In Calculus Of One Variable has been published by Arihant Publications in 2012.
About I. A. Maron
I. A. Maron is an author.
Apart from this book, Maron has written Computational Mathematics.
Nice book for calculus preparation
24 Mar, 2012
A-Z OF CALCULUS
17 Feb, 2012
An Insight of CALCULUS!
20 Oct, 2012
best book for calculus
10 Jun, 2012
awesome book.awesome packing/transportation.
28 May, 2012