Description
DOVER PUBLICATIONS Elements Of Pure And Applied Mathematics by Harry Lass
Completely self-contained, this survey offers a single-volume exploration of all the important topics in pure and applied mathematics. Each chapter can be read independently of the others, and all subjects are unified by cross-references to the complete work. Every section concludes with review questions and references, and numerous worked-out examples appear throughout the text._x000D_Starting with discussions of determinants, linear equations, and matrices, the text advances to a review of the essentials of vector analysis. Subsequent chapters include explorations of tensor calculus, a rigorous treatment of complex variable theory, an undergraduate-level treatment of differential equations, and a consideration of orthogonal polynomials, Fourier series, and Fourier integrals appropriate for mathematicians, physicists, and engineers. Additional topics include the Stieltjes integral, the Laplace transform, the calculus of variations, group theory and algebraic equations, probability theory and statistics, and real variable theory._x000D_ _x000D_
Preface1. Linear Equations, Determinants, and Matrices2. Vector Analysis3. Tensor Analysis4. Complex-variable Theory5. Differential Equations6. Orthogonal Polynomials, Fourier Series, and Fourier Integrals7. The Stieltjes Integral, Laplace Transform, and Calculus of Variations8. Group Theory and Algebraic Equations9. Probability Theory and Statistics10. Real-variable TheoryIndex_x000D_