Product: Differential Calculus for Beginners
Author: Joseph Edwards
Publisher: Arihant Prakashan
Master the Fundamentals of Differential Calculus with a Classic Text
Arihant Prakashan presents a carefully revised edition of Differential Calculus for Beginners by Joseph Edwards, a timeless resource designed for students embarking on their journey into higher mathematics. This book systematically unpacks the core principles of differential calculus, bridging the gap between elementary algebra and advanced mathematical analysis. Whether you are preparing for university-level examinations or building a foundation for engineering and physical sciences, this guide offers a structured pathway to proficiency.
Comprehensive Coverage of Core Topics
The book begins with the concept of the limiting value and tackles elementary undetermined forms, ensuring readers grasp the intuitive idea of a limit before proceeding. From there, the text introduces differentiation from the definition, laying a rigors groundwork for all subsequent rules. Readers will explore fundamental propositions and commit standard forms to memory, enabling efficient problem-solving.
Key chapters include the following:
- Successive differentiation and expansions (including Taylor and Maclaurin series)
- Tangents and Normals: applying derivatives to coordinate geometry
- Asymptotes and Curvature: analysing the behaviour of curves
- Envelopes and Associated Loci, extending geometric applications
- Maxima and Minima, a critical section for optimisation problems in physics and economics
- A deep dive into undetermined forms and the limitations of Taylor’s Theorem
Pedagogical Strengths
Joseph Edwards is renowned for his clarity and logical progression. Each theorem is proved step-by-step, followed by a wealth of worked examples and practice exercises. The chapter on infinitesimals offers an intuitive approach to change, while the discussion on the limitations of Taylor’s theorem provides advanced insight often missing in beginner texts.
Why Choose This Edition from Arihant Prakashan?
- Exam-Oriented: Ideal for B.Sc. Mathematics, IIT JEE, and university calculus courses.
- Conceptual Clarity: Focuses on understanding undetermined forms and successive differentiation without skipping rigour.
- Self-Learning Friendly: Suitable for beginners, with all fundamental propositions explained in detail.
- Value for Money: High-quality print at an affordable price point.
Table of Contents (Abridged)
1. Limiting Value, Elementary Undetermined Forms
2. Differentiation From The Definition
3. Fundamental Propositions
4. Standard Forms
5. Successive Differentiation
6. Expansions
7. Infinitesimals
8. Tangents and Normals
9. Asymptotes
10. Curvature
11. Envelopes
12. Associated Loci
13. Maxima and Minima
14. Undetermined Forms
15. Limitations of Taylor’s Theorem
Who Should Buy?
- High school students (Grades 11-12) with calculus syllabi.
- First-year undergraduate students in mathematics or engineering.
- Self-learners aiming to understand differential calculus from a classic text.
- Coaching institute aspirants needing extra practice on maxima and minima and curvature.
Add Differential Calculus for Beginners by Joseph Edwards to your cart today and build an unshakeable foundation in calculus.
