Advanced Calculus for Applications [Hardcover] [Jan 01, 2016] Ramalingam Arul, Manvel Angayarkanni

Calculus is the mathematical study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. It has two major branches, differential calculus, and integral calculus; these two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit. This book covers topics in advanced calculus, providing the foundation for partial differential equations and analysis.