Differential Calculus by Shanti Narayan and P.K. Mittal

Order Differential Calculus by Shanti Narayan and Mittal from A2Z Book Hub with a 100% book price discount where you pay only nominal delivery charges. S. Chand Publishing brings this foundational mathematics textbook, which introduces limits, continuity, successive differentiation, expansions, and partial derivatives through structured proofs and worked examples. In addition, our quality team manually inspects every pre-owned copy before dispatch to ensure clean pages, sturdy binding, and an intact spine. As a result, students receive a verified academic resource that is completely ready for undergraduate semester examinations and competitive postgraduate entrance tests.

Differential Calculus by Shanti Narayan and Mittal Overview

The authors designed Differential Calculus by Shanti Narayan and Mittal to serve as an indispensable mathematical foundation for undergraduate students across India. Instead of presenting pure mathematical formulas in isolation, the textbook illustrates complex real-variable theorems through progressive geometric explanations and systematic step-by-step proofs. Because of this rigorous pedagogical approach, learners can easily build confidence in handling indeterminate forms, tangent envelopes, and curvature evolutes.

The textbook also integrates extensive collections of chapter-wise solved problems and analytical exercises that serve as standard references for competitive examinations. Therefore, this classic work remains a core recommendation for B.A., B.Sc. Mathematics programs, engineering calculus foundation modules, and postgraduate entrance test preparation.

Key Topics Covered in Differential Calculus by Shanti Narayan and Mittal

• Real number properties, neighbourhood definitions, bounds, and rigorous epsilon-delta limit theorems.
• Continuity and differentiability of single-variable functions, algebraic properties, and uniform continuity.
• Mean value theorems including Rolle’s theorem, Lagrange’s mean value theorem, and Cauchy’s generalized formula.
• Successive differentiation, higher-order derivatives, Leibniz theorem for nth derivatives, and standard formulas.
• Taylor’s and Maclaurin’s series expansions of functions with various forms of remainders.
• Partial differentiation, Euler’s theorem on homogeneous functions, Jacobians, and total differentials.
• Geometric applications including tangents, normals, asymptotes, curvature, envelopes, and singular points.

What You Will Learn

• Evaluate indeterminate mathematical limits and establish continuity using formal analytical methods.
• Apply Leibniz’s theorem to determine higher-order derivatives of complex composite functions accurately.
• Compute partial derivatives and verify Euler’s theorem on multi-variable homogeneous expressions.
• Derive asymptotes, envelopes, and radii of curvature for classical Cartesian and polar curves.

Key Features of Differential Calculus by Shanti Narayan and Mittal

• Rigorous Pedagogical Structure: Blends clear theoretical exposition with immediate illustrative mathematical examples.
• Extensive Problem Sets: Contains hundreds of graded university examination problems for thorough practice.
• Curriculum Aligned: Perfectly matches undergraduate calculus syllabi across premier Indian state and central universities.
• Self-Study Friendly: Organized with clear solution steps so that students can prepare independently for semester tests.

Who Should Buy Differential Calculus by Shanti Narayan and Mittal?

This textbook is particularly recommended for:

• Undergraduate Scholars: B.A. and B.Sc. (General & Hons.) Mathematics candidates studying foundational calculus.
• Engineering Students: B.Tech and B.E. freshmen requiring strong mathematical methods and differential geometry.
• Postgraduate Aspirants: Candidates preparing for IIT-JAM, TIFR, CUET-PG, and university M.Sc. entrance tests.
• Competitive Exam Aspirants: Learners preparing for UPSC Mathematics Optional and CSIR-NET Mathematical Sciences.

About the Authors & Publisher

Shanti Narayan was a legendary Indian mathematics educator and author whose foundational textbooks have guided generations of university scholars across the country. Co-author Dr. P. K. Mittal has contributed extensively to updating and refining the text with modern mathematical problems. In addition, through S. Chand Publishing, their collaborative literature continues to represent the gold standard for higher mathematics education in India.

Verified Book Condition: Used – Like New

Why Buy from A2Z Book Hub?

• Guaranteed Originality: 100% authentic S. Chand Publishing editions.
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