Mathematical Analysis Volume I is a good textbook that care about student trough the basic topics of Real Analysis in math. In mathematics the students have to learn the concept of exercises very clear and then practices more often, this way can help them to know well about mathematics. This book has the clear lesson in analysis with 500 exercises and many of them are with extensive hints. For students who need to review of basic math concepts before beginning "epsilon-delta" also proofs style, this book is good with material on set theory that has many function.
In this book you will learn about metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact set, sequences and series of functions, after these lesson you will study about differentiation and integration to warm up you math and then is Taylor's theorem, total variation to learn how to proof the function and at the end you have to study about rectifiable arcs and sufficient conditions of intractability. These lessons is very important to the students who study mathematics to improve their abilities. In 500 exercises are for them to practices and learn the methods in analysis.
Download in PDF
In this book you will learn about metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact set, sequences and series of functions, after these lesson you will study about differentiation and integration to warm up you math and then is Taylor's theorem, total variation to learn how to proof the function and at the end you have to study about rectifiable arcs and sufficient conditions of intractability. These lessons is very important to the students who study mathematics to improve their abilities. In 500 exercises are for them to practices and learn the methods in analysis.
Download in PDF
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