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(DC Machine). ডি. সি. মেশিন BY Shri Shivprasad Gangopadhyay and Sudhanshu Samaddar. (NCBA)
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“An Introduction to Analysis: Integral Calculus“ is an authoritative, classic undergraduate textbook primarily utilized by mathematics honors and engineering students across South Asian universities. It is celebrated for its highly rigorous approach to mathematical analysis and its collection of advanced, challenging practice problems.
📋 Technical Specifications
- Authors: Ram Krishna Ghosh & Kantish Chandra Maity
- Publisher: New Central Book Agency (NCBA)
- Edition: 12th Revised Edition (Standard)
- Length: Approximately 460 page
- ISBN-: 978-8173817342
📖 Core Subject Areas & Contents
The textbook bridges the gap between mechanical computation and real analysis by exploring the fundamental proofs behind calculus: [1]
- Basic Methods of Integration: Standard integration rules, substitution techniques, and integration by parts.
- Definite Integrals: Evaluation of localized areas, properties of definite integrals, and calculations using boundaries.
- The Riemann Integral: Advanced conceptual analysis covering the bounds of a set of numbers, Darboux’s theorem, conditions for integrability, and fundamental theorems.
- Geometric Applications: Lengths of curves, areas of plane regions, and volumes/surfaces of solids of revolution.
- Multiple Integrals: Double and triple integrals with variable transformations.
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