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Title: Both joy and nobility of abstract math in this book (V.2)
Review: This book is for students who enjoy mathematics and who care to understand advanced calculus the way it should be. I haave Ph.D in math. and went cross many advanced calculus books through my career. I found Apostle's book to be the best in three fundamental respects, first, he treat each subject deeply and masterfully leaving no confusion in the reader's mind- see for example his treatment of several variable differentiation .Second, in advance he penpoints the main issues of each subject and discuss complexity of developing theory and generlizing theorems toward more advanced levels. Third, he supplied in his book very intersting and illuminating collections of exercises throughout the book. If you think you are a mathematically oriented thinker you should study advanced calculus the way apostol exhibited in his book. I just say this is a distinguished book for a distinguished student.
