INTRODUCTION TO CALCULUS AND ANALYSIS II/2

From the reviews: "These books (Introduction to Calculus and Analysis Vol. I/II) are very well written. The mathematics are rigorous but the many examples that are given and the applications that are treated make the books extremely readable and the arguments easy to understand. These books are ideally suited for an undergraduate calculus course. Each chapter is followed by a number of interesting exercises. More difficult parts are marked with an asterisk. There are many illuminating figures...Of interest to students, mathematicians, scientists and engineers. Even more than that."Newsletter on Computational and Applied Mathematics, 1991"...one of the best textbooks introducing several generations of mathematicians to higher mathematics. ... This excellent book is highly recommended both to instructors and students.Acta Scientiarum Mathematicarum, 1991 TOC:Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane; Vector Form of the Divergence Theorem. Stokes's Theorem; Formula for Integration by Parts in Two Dimensions: Green's Theorem; The Divergence Theorem Applied to the Transformation of Double Integrals; ... .- Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions; The General Linear Differential Equation of the First Order; Linear Differential Equations of Higher Order; General Differential Equations of the First Order; ... .- Calculus of Variations; Functions and Their Extreme Values of a Functional; Generalizations; Problems Involving Subsidiary Conditions. Lagrange Multipliers.- Functions of a Complex Variable: Complex Functions Represented by Power Series; Foundations of the General Theory of Functions of a Complex Variable; The Integration of Analytic Functions; Cauchy's Formula and Its Applications; ... .-