This book provides a comprehensive introduction to complex variable theory and its applications to current engineering problems and is designed to make the fundamentals of the subject more easily accessible to readers who have little inclination to wade through the rigors of the axiomatic approach. Modeled after standard calculus books--both in level of exposition and layout--it incorporates physical applications throughout, so that the mathematical methodology appears less sterile to engineers. It makes frequent use of analogies from elementary calculus or algebra to introduce complex concepts, includes fully worked examples, and provides a dual heuristic/analytic discussion of all topics. A downloadable MATLAB toolbox--a state-of-the-art computer aid--is available. Complex Numbers. Analytic Functions. Elementary Functions. Complex Integration. Series Representations for Analytic Functions. Residue Theory. Conformal Mapping. The Transforms of Applied Mathematics. MATLAB ToolBox for Visualization of Conformal Maps. Numerical Construction of Conformal Maps. Table of Conformal Mappings. Features coverage of Julia Sets; modern exposition of the use of complex numbers in linear analysis (e.g., AC circuits, kinematics, signal processing); applications of complex algebra in celestial mechanics and gear kinematics; and an introduction to Cauchy integrals and the Sokhotskyi-Plemeij formulas. For mathematicians and engineers interested in Complex Analysis and Mathematical Physics.
1 有用 吴明士 2015-04-14 02:31:14
前四章写得特别好。后面写得太烂。。其实可能是我智商不够所以才觉得写得烂。内容太神奇了。
1 有用 cosy 2017-01-27 14:45:21
第八章的后三节小节以及其他章的某些小节写得跟天书一样。拉普拉斯变换彻底给跪了一个字没看懂。 啊本来要打五星的。
0 有用 江流有声 2013-08-25 21:59:50
这书不是让人学的是让人背定理的，如此的数学书请滚粗。。
0 有用 🫧🫧 2023-03-16 16:30:38 加拿大
烂书。做数学的错误示范。抄了Ahlfors的书改成习题。羞于承认，因此全书没有引用Ahlfors。