Complex Analysis with Applications (Undergraduate Texts in Mathematics) by Nakhlé H. Asmar (PDF)

Description

This textbook is intended for a one semester course in complex analysis for upper level undergraduates in mathematics. Applications, primary motivations for this text, are presented hand-in-hand with theory enabling this text to serve well in courses for students in engineering or applied sciences. The overall aim in designing this text is to accommodate students of different mathematical backgrounds and to achieve a balance between presentations of rigorous mathematical proofs and applications. The text is adapted to enable maximum flexibility to instructors and to students who may also choose to progress through the material outside of coursework. Detailed examples may be covered in one course, giving the instructor the option to choose those that are best suited for discussion. Examples showcase a variety of problems with completely worked out solutions, assisting students in working through the exercises. The numerous exercises vary in difficulty from simple applications of formulas to more advanced project-type problems. Detailed hints accompany the more challenging problems. Multi-part exercises may be assigned to individual students, to groups as projects, or serve as further illustrations for the instructor. Widely used graphics clarify both concrete and abstract concepts, helping students visualize the proofs of many results. Freely accessible solutions to every-other-odd exercise are posted to the book’s Springer website. Additional solutions for instructors’ use may be obtained by contacting the authors directly.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I just set down to read this book on complex analysis, but on opening it, the frontispiece ( and the remainder of the book) is Stilwell Mathematics and its History. This appears to be a truly magnificent book, and the first few chapters bear this out. It is just the wrong book!A publishing error resulted in this book being bound in another’s cover.

⭐Another introduction to Complex Analysis ? Yes and I own most of them. This one impressed me with its detailed explanations, multitude of graphs, rigor, and exercises. I highly recommend this. If you want the easiest introduction I would choose Zill & Shanahan, the most difficult Ahlfors, a unique approach Needham.If you want to understand this subject get a book like this one, Zill, or Houston and do the exercises, that’s the key. It take time and effort but in my view the only way to learn mathematics is to do mathematics.

⭐Very well detailed book! The two authors are very competent!

⭐Fantastic book ! and a solution manual on the web!BoA

⭐All in all it is a good book, but some things I don’t like. The letters are small (difficult to read. The pages are full of text (no good overview). The pages are small (the Zill book is bigger). I have many books about complex calculus and for beginners I suggest the famous book of Dennis Zill (Complex Analysis: A First Course with Applications). As soon as I have read the book completly I will write more. On the Springer Website you find a link to “Solutions to select exercises”, but the link don’t work well (you must correct the link-name by hand). At the moment I give 3 1/2 points.

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