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Elementary Real and Complex Analysis (Dover Books on Mathematics)
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Avg. Rating:♥♥♥♥♥
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To me, the best chapters of this book are that about series and integrals. The text is plenty of interesting notions, like that of direction that is related with the notion of limit. I appreciated very much the study that Shilov does about parameter-dependent proper and improper integrals. The topological notions are placed in one intuitive manner. Wi... »
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Elements of the Theory of Functions and Functional Analysis
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Avg. Rating:♥♥♥♥♥
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A concise, well-readable book for as much money as every textbook should cost. There's only one problem I found, but I wouldn't take a star for it, because the book is really very good: since the book is quite old, the nomenclature is very different from the current one. (Eg. the empty set is called void set'', Cauchy sequences is called fundamenta... »
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Special Functions & Their Applications
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Avg. Rating:♥♥♥♥♥
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As the title indicates, the book is designed with the goal of application front and center. That said, it is also important to note that the theoretical background is developed with full mathematical rigor. You can easily see this from the fact that whenever an infinite series is differentiated, its uniform convergence in the region of interest is al... »
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Complex Variables and Applications
Brown and Churchill's book is neither rigorous nor intuitive; it is a true pedagogical nightmare. The authors are extremely sloppy with their exposition, ... »
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Real Mathematical Analysis
Every once in a while, a mathematics book comes along that gets it right. While most math departments are filled with irrelevant, arcane texts; every onc... »
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Schaum's Outline of Laplace Transforms
I have several books on Laplace Transforms; but the Schaum's Outline by Murray Spiegel is particularly well done. The book is logically organized with ma... »
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Functional Analysis
I enjoy perusing Rudin's "Functional Analysis" at this stage in my life. It is fairly nice tome for functional analysis, and its general treatment of topo... »
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