Real Analysis and Differential Equations

Know about the book -

Real Analysis and Differential Equations is written by Dr. Jitendra Singh and published by P. V. Mindspire Publishing. It's available with International Standard Book Number or ISBN identification 9334334371 (ISBN 10) and 9789334334371 (ISBN 13).

📘 Real Analysis–I & Differential Equations–I For B.Sc. Mathematics Semester–III | Aligned with NEP 2020 & 2025 Syllabus This comprehensive academic resource is meticulously crafted for B.Sc. Mathematics Semester–III students, following the official syllabus of [UG0809-MAT-63T-251] – Real Analysis–I & Differential Equations–I under the [UG0809 – Three/Four Year B.Sc. (Mathematics)] program. It is fully aligned with the syllabi adopted by: University of Rajasthan, Jaipur Raj Rishi Bhartrihari Matsya University, Alwar Raj Rishi (Autonomous) Government College, Alwar (Raj.) India Developed in accordance with the New Education Policy (NEP) 2020 and the updated 2025 syllabus, this book bridges academic learning with real-world applicability—ideal for both university coursework and competitive exam preparation. 🌟 Key Features 🔹 Dual Academic & Competitive Focus Structured to support students preparing for CSIR-NET, IIT-JAM, GATE, and other state-level entrance exams alongside their university curriculum. 🔹 Real Analysis–I Comprehensive coverage of limits, sequences, convergence, monotonicity, and continuity. Clear presentation of key theorems such as Bolzano–Weierstrass and Heine–Borel. Step-by-step explanations, examples, and proofs to foster rigorous mathematical reasoning. 🔹 Differential Equations–I Detailed discussion on exact and linear differential equations, constant coefficients, and second-order equations. Methods including undetermined coefficients and variation of parameters explained systematically. Practical examples that connect abstract theory with real-world applications. 🔹 Pedagogical Excellence Every chapter includes worked examples, key definitions, and guided MCQ exercises. Concepts are presented with logical progression to promote understanding over memorization. Ideal for mastering both academic exams and conceptual fundamentals. ✨ Why This Book Designed as a reliable academic companion, this book nurtures both conceptual depth and analytical skill, inspiring learners to appreciate the elegance of Real Analysis and the problem-solving power of Differential Equations.