Advanced Calculus
by Dr. H.K. Pathak
₹450
Useful for
About this book
Advanced Calculus by Dr. H.K. Pathak is written strictly to the NEP 2020 Discipline Specific Elective (DSE) syllabus for B.A./B.Sc. Third Semester, covering all four units of the 60-period course in university sequence.
Partial Differentiation, Maxima-Minima with Lagrange's Multipliers, Beta and Gamma Functions and Multiple Integrals overlap genuinely with the IIT JAM Mathematics and GATE Mathematics (MA) syllabi, so the same book serves both the semester exam and early competitive exam preparation.
Written for students across India, with particular relevance for Chhattisgarh State Universities — PRSU Raipur, Hemchand Yadav Vishwavidyalaya Durg, Guru Ghasidas Vishwavidyalaya Bilaspur and Sant Gahira Guru Vishwavidyalaya Sarguja. Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Limits, Continuity & Partial Differentiation
Limits and continuity of functions of two and three variables; Mean value theorems; Taylor's theorem; Partial differentiation; Euler's theorem; Change of variables
Unit 2 · Differentiability & Fourier Series
Partial derivation and differentiability; Schwartz's theorem; Young's theorem; Implicit function theorem; Fourier series; Fourier expansion of piecewise monotonic functions
Unit 3 · Jacobians, Maxima & Minima
Jacobian; Maxima, minima and saddle points of functions of two variables; Lagrange's multipliers; Envelopes; Evolutes
Unit 4 · Beta, Gamma Functions & Multiple Integrals
Beta and Gamma functions; Double and triple integrals; Dirichlet's integrals; Change of order of integration
