In what is a rigorous treatment of multivariable differential and integral calculus, this book explains key theorems including Stokes's as well as covering extrema such as Lagrange multipliers. It explores Riemann integration in n dimensions in detail. A wide selection of problems, ranging from simple to challenging, is included with carefully written solutions. Ideal as a classroom text or a self study resource for students, this book will appeal to higher level undergraduates in Mathematics.

Properties of the spectrum of different classes of operators, such as normal operators, self-adjoint operators, unitaries, isometries and compact operators have been discussed.