Description
A Complete Beginner's Guide to Calculus
Easy-to-Understand Theory, Step-by-Step Proofs, Worked Examples, and 600+ Practice Questions with Answers
Calculus is one of the most important branches of mathematics. It is a powerful mathematical tool used to study change, rates of change, and relationships between different quantities. It plays an essential role in mathematics, science, engineering, economics, and many other fields.
This book is primarily intended for students beginning their study of Calculus, particularly advanced secondary school students, students preparing for university entrance examinations, and undergraduate students taking introductory Calculus courses. It is also suitable for independent learners who wish to develop a strong foundation in Calculus through a clear, structured, and systematic approach.
The book has been carefully prepared to help students progress from fundamental concepts to university-level topics and problems while developing the mathematical knowledge, understanding, and problem-solving skills necessary for effective learning.
Topics Covered
The major components of Calculus are presented systematically throughout the book, with particular emphasis on:
Limits: Understanding fundamental concepts, properties, and techniques of evaluating limits.
Differentiation: Learning differentiation principles, rules, methods, and techniques.
Partial Differentiation: Exploring functions of several variables and their partial derivatives.
Applications of Differentiation: Understanding how differentiation can be applied to solve mathematical problems.
Integration: Developing an understanding of integration concepts, methods, and techniques.
A Concept-Based Approach to Learning
The purpose of this book is not merely to help students memorise mathematical formulas. Instead, it encourages readers to understand the fundamental principles of Calculus by exploring two essential questions: 'Why?' and 'How?'
Each topic is explained as simply and clearly as possible, supported by mathematical theory, detailed step-by-step proofs, and carefully worked examples. The explanations and problem-solving methods are designed to guide students progressively from basic exercises towards more challenging questions and higher-level applications.
What Makes This Book Valuable?
Clear and easy-to-understand explanations of essential Calculus concepts.
Mathematical theories and step-by-step proofs to develop deeper conceptual understanding.
Carefully worked examples demonstrating mathematical techniques and problem-solving methods.
More than 600 practice questions with answers to reinforce learning and improve problem-solving skills.
Systematic coverage of the major topics of introductory Calculus, from fundamental concepts to university-level problems.
Who Should Read This Book?
This book is particularly suitable for:
Advanced secondary school students beginning Calculus.
Students preparing for university entrance examinations.
Undergraduate students studying introductory Calculus.
Independent learners wishing to strengthen their mathematical foundations.
Anyone seeking a systematic and concept-based introduction to Calculus.
'Rather than memorising formulas, understand the concept.'
It is my sincere hope that this book will become a valuable and reliable companion throughout your journey of studying Calculus, helping you develop confidence, mathematical understanding, and the ability to solve problems effectively.
Details
Publisher - Dissanayake Mudiyanselage Buddhike Diyanath Dissanayake
Language - English
Perfect Bound
Contributors
By author
Diyanath Dissanayake
Diyanath Dissanayake
Diyanath Dissanayake
Published Date - 2026-11-09
ISBN - 9786249125117
Dimensions - 22.9 x 15.2 x 3 cm
Page Count - 549
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