Introduction to Analysis

<p><b>An essential undergraduate textbook on algebra topology and calculus</b> <p/><i>An Introduction to Analysis</i> is an essential primer on basic results in algebra topology and calculus for undergraduate students considering advanced degrees in mathematics. Ideal for use in a one-year course this unique textbook also introduces students to rigorous proofs and formal mathematical writing--skills they need to excel. <p/>With a range of problems throughout <i>An Introduction to Analysis</i> treats <i>n</i>-dimensional calculus from the beginning--differentiation the Riemann integral series and differential forms and Stokes's theorem--enabling students who are serious about mathematics to progress quickly to more challenging topics. The book discusses basic material on point set topology such as normed and metric spaces topological spaces compact sets and the Baire category theorem. It covers linear algebra as well including vector spaces linear mappings Jordan normal form bilinear mappings and normal mappings. <p/>Proven in the classroom <i>An Introduction to Analysis</i> is the first textbook to bring these topics together in one easy-to-use and comprehensive volume.<br></p><ul><li>Provides a rigorous introduction to calculus in one and several variables</li><li>Introduces students to basic topology</li><li>Covers topics in linear algebra including matrices determinants Jordan normal form and bilinear and normal mappings</li><li>Discusses differential forms and Stokes's theorem in <i>n</i> dimensions</li><li>Also covers the Riemann integral integrability improper integrals and series expansions</li></ul>