bokomslag Problems and Solutions for Undergraduate Real Analysis I
Vetenskap & teknik

Problems and Solutions for Undergraduate Real Analysis I

Kit-Wing Yu

Pocket

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  • 212 sidor
  • 2018
The aim of Problems and Solutions for Undergraduate Real Analysis I, as the name reveals, is to assist undergraduate students or first-year students who study mathematics in learning their first rigorous real analysis course. The wide variety of problems, which are of varying difficulty, include the following topics:
  • Elementary Set Algebra
  • The Real Number System
  • Countable and Uncountable Sets
  • Elementary Topology on Metric Spaces
  • Sequences in Metric Spaces
  • Series of Numbers
  • Limits and Continuity of Functions
  • Differentiation
  • the Riemann-Stieltjes Integral

Furthermore, the main features of this book are listed as follows:
  • The book contains 230 problems, which cover the topics mentioned above, with detailed and complete solutions. As a matter of fact, my solutions show every detail, every step and every theorem that I applied.
  • Each chapter starts with a brief and concise note of introducing the notations, terminologies, basic mathematical concepts or important/famous/frequently used theorems (without proofs) relevant to the topic.
  • Three levels of difficulty have been assigned to problems so that you can sharpen your mathematics step-by-step.
  • Different colors are used frequently in order to highlight or explain problems, examples, remarks, main points/formulas involved, or show the steps of manipulation in some complicated proofs. (ebook only)
  • An appendix about mathematical logic is included. It tells students what concepts of logic (e.g. techniques of proofs) are necessary in advanced mathematics.
    • Författare: Kit-Wing Yu
    • Format: Pocket/Paperback
    • ISBN: 9789887879756
    • Språk: Engelska
    • Antal sidor: 212
    • Utgivningsdatum: 2018-09-22
    • Förlag: 978-988-78797-5-6