This book is intended as a textbook for a first course in the theory of functions of one complex variable for students who are mathematically mature enough to understand and execute E – I) arguments. The actual pre requisites for reading this book are quite minimal; not much more than a stiff course in basic calculus and a few facts about partial derivatives. The topics from advanced calculus that are used (e.g., Leibniz’s rule for differ entiating under the integral sign) are proved in detail. Complex Variables is a subject which has something for all mathematicians. In addition to having applications to other parts of analysis, it can rightly claim to be an ancestor of many areas of mathematics (e.g., homotopy theory, manifolds). This view of Complex Analysis as “An Introduction to Mathe matics” has influenced the writing and selection of subject matter for this book. The other guiding principle followed is that all definitions, theorems, etc.
Functions of One Complex Variable II Free Download
April 6, 2022
You may also like
Solution Manual to Mathematical Analysis 2nd Edition PDF
March 25, 2023
Mathematical Analysis provides a transition from elementary calculus to advanced courses in real nad complex function theory and introduces readers to some of...
Ideals, Varieties, and Algorithms An Introduction to Computational Algebraic Geometry and Commutative Algebra 3rd Edition PDF
February 22, 2023
This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz...
Almost Ring Theory PDF
February 22, 2023
This book develops thorough and complete foundations for the method of almost etale extensions, which is at the basis of Faltings’ approach to p-adic...