Borthwick D A Primer for Mathematical Analysis 2025
General:
Name: Borthwick D A Primer for Mathematical Analysis 2025
Format: pdf
Size: 1.42 MB
Book:
Title: A Primer for Mathematical Analysis
Author: David Borthwick
Language: angielski
Year: 2025
Subjects: Science & Technology, Mathematics, Mathematics – General & Miscellaneous
Publisher: Springer-Verlag New York, LLC
ISBN: 9783031917134
Total pages: 104
Description:
This book presents a concise introduction to real and complex number systems and metric space theory. The goal is to help students bridge the gap between undergraduate courses in advanced calculus and graduate level material in analysis or related subjects such as differential geometry or probability. The unifying feature in all of these subject areas is the predominance of the limit, and metric space theory is the mathematical language in which limits are formulated. To understand analysis at a graduate level, students need to develop fluency in this language. To facilitate this development, exercises are incorporated into the main text, with many key results posed as problems. Solutions are provided to help readers fill in any gaps.
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