This book is good if you are not the first time learner, since it introduces measure, integrable functions, etc, in a way that first-time learner may find hard to understand and to relate to other classic books like Royden, Rudin, or Stein. I have to say that I never had any professors or courses that used this book. This is the original book, and it has a companion solution manual of all the exercises in this book:ġa') "Problems in Real Analysis, A Workbook with Solutions 2nd Edition" by Charalambos D. Good and classic textbook most of whose problems have solution online.įor 1, here are are some recommendations:ġa) "Principles of Real Analysis 3rd Edition" by Charalambos D.Textbooks (or problem books) that have solution manual sold along with them.I'd also recommend getting the earlier 2 volumes in the same series-they provide great practice and additional training in real variables for the serious student. Since the book is so comprehensive and the courses in the subject have become so standardized-you may find all the solutions you need in the second half of this book. The exercises are immense, clear and not too difficult and come with complete solutions in the back. Lastly, there's a terrific problem course in measure and integration that comes with complete solutions- Problems in Mathematical Analysis III:Integration by W.J. While I think this is a subject that's underused in teaching analysis and it's quite well presented in this book, it isn't really what you're looking for. Ian Adamson's A General Topology Workbook covers all the main topics of point set topology-open and closed sets,subspaces, general convergence,etc.-through a series of beautiful exercises,all with complete solutions in the second half of the book.The only really "standard" textbook I know on measure theory that has a conventional solutions manual is Robert Bartle's A Modern Theory of Integration-which isn't really a conventional graduate course on measure and integration, but rather a development based on the Henstock-Kurtzwell integral. But I do know a few exceptions and they're mainly problem course texts. I don't agree with this thinking,I think all textbooks,regardless of level,should have complete solutions manuals. Perano, most textbooks on measure theory and topology are considered too high level to have solutions manuals in the usual sense-students at that level who need solutions manuals to get through their courses are considered doomed to failure.
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