This book is designed for use as a supplement to all current standard texts or as a textbook for a formal course in Complex Variable Theory and applications. It should also be of considerable value to those taking courses in mathematics, physics, aerodynamics, elasticity or any of the numerous other fields in which complex variable methods are employed. About Author: Murray SpiegelThe Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics. Table Of Contents: 1. Complex Numbers 2. Functions, Limits And Continuity 3. Complex Differentiation And The Cauchy-Riemann Equations 4. Complex Integration And Cauchy?s Theorem 5. Cauchy?s Integral Formulae And Related Theorems 6. Infinite Series Taylor?s And Laurent?s Series 7. The Residue Theorem And Applications 8. Conformal Mapping 9. Physical Applications Of Conformal Mapping 10. Special Topics Special Features: Proofs of important theorems on topics such as Conformal Mapping and Jordan Lemma. Application-based problems on topics such as Riemann Equations, Cauchy?s theorem, Conformal Mapping, Lagrange?s Expansion, Residues Theorem, Rouche?s Theorem, Cauchy?s theorem and Cauchy?s-Goursat theorem, and Consequence of Cauchy?s theorem. Numerous questions from various Indian Universities and competitive exams.
It's like a textbook which doesn't provide you with all the theories that can make you understand the terms. Students will need the help of another one. It provides additional practice problems with answers. So, one can use this as a practice book.
But this book did not help me so much. That's why 2 stars.
Best book for a beginner on Complex Analysis (Complex variables). The definitions and proofs are clear, short and beautiful. The examples and solved exercises are great. I wish there were more books on advanced math like this one. My knowledge on calculus (with real numbers) was good. However, my background on imaginary and complex numbers was pretty weak. This book was a huge help.
Short and pretty much exactly what you'd expect. Assumes familiarity with (real) calculus; in fact, quite a lot of it is just real calculus repeated with less explanation and some footnotes. I'm sad it didn't really touch on complex dynamics at all.
A good book to start teaching yourself about the subject (if unfamiliar). I think learning from doing the exercises really helps, it's like using training wheels. Still I would recommend to pick another book of only complex theory to accompany this one.
You learn a lot with this book. There are solved problems that help you to understand, and there are exercises with which you can practice. Highly recommended.