Prathamik Kalan (प्रारंभिक कलन)
by Dr. H.K. Pathak
₹440
Useful for
About this book
Finding a quality Hindi-medium Calculus textbook at university level is rare. Most books at this level are in English, leaving Hindi-medium B.A./B.Sc. students struggling with concepts in a language that is not their strongest. This 552-page book solves that problem.
Written by Dr. H.K. Pathak, Ex-Professor and Former Head, School of Studies in Mathematics, PRSU Raipur, with 3,400+ Google Scholar citations, this book presents university-level calculus entirely in Hindi — theorems, proofs, solved examples and questions, all written for students who understand better in Hindi.
Includes previous year solved papers, MCQs, Objective Questions and HOTS questions as per NEP 2020. Designed for all Chhattisgarh State Universities — PRSU Raipur, Hemchand Yadav University Durg, Guru Ghasidas University Bilaspur. The calculus topics also cover UPSC Mathematics Optional Paper I (continuity, differentiability, MVT, Taylor's theorem, Riemann integrals). Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · भारतीय गणितज्ञ, अनुक्रम एवं सांतत्य
बोधायन, ब्रह्मगुप्त, भास्कराचार्य, लीलावती का योगदान; अनुक्रम, सांतत्य एवं अवकलनीयता
Unit 2 · माध्यमान प्रमेय एवं श्रेणियाँ
रोले प्रमेय, लाग्रांज एवं कोशी माध्यमान प्रमेय, लाइबनित्ज़ प्रमेय, टेलर एवं मैक्लारिन श्रेणी
Unit 3 · वक्रता एवं वक्र आरेखण
वक्रता, अनंत स्पर्शी, वक्र आरेखण (कार्तीय, ध्रुवीय एवं प्राचलिक वक्र), नति-परिवर्तन बिन्दु
Unit 4 · समाकलन
प्राथमिक समाकलन, अतिक्रमणीय फलन, अपचयन सूत्र, निश्चित समाकल
