Advanced Calculus with Linear Analysis
eBook - PDF

Advanced Calculus with Linear Analysis

  1. 232 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Advanced Calculus with Linear Analysis

About this book

Advanced Calculus with Linear Analysis provides information pertinent to the fundamental aspects of advanced calculus from the point of view of linear spaces. This book covers a variety of topics, including function spaces, infinite series, real number system, sequence spaces, power series, partial differentiation, uniform continuity, and the class of measurable sets. Organized into nine chapters, this book begins with an overview of the concept of a single-valued function, consisting of a rule, a domain, and a range. This text then describes an infinite sequence as an ordered set of elements that can be put into a one-to-one correspondence with the positive integers. Other chapters consider a normed linear space, which is complete if and only if every Cauchy sequence converges to an element in the space. This book discusses as well the convergence of an infinite series, which is determined by the convergence of the infinite sequence of partial sums. This book is a valuable resource for students.

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Yes, you can access Advanced Calculus with Linear Analysis by Joseph R. Lee in PDF and/or ePUB format, as well as other popular books in Mathematics & Calculus. We have over one million books available in our catalogue for you to explore.

Information

Year
2014
Print ISBN
9780124407503
eBook ISBN
9781483266589

Table of contents

  1. Front Cover
  2. Advanced Calculus with Linear Analysis
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. Acknowledgments
  7. Summary of Notation for Linear Spaces
  8. List of Elementary Symbols
  9. CHAPTER I. FUNCTION SPACES
  10. CHAPTER II. SEQUENCE SPACES AND INFINITE SERIES
  11. CHAPTER III. COMPLETENESS PROPERTIES
  12. CHAPTER IV. CONTINUOUS FUNCTIONS
  13. CHAPTER V. DIFFERENTIABLE FUNCTIONS
  14. CHAPTER VI. RIEMANN INTEGRABLE FUNCTIONS
  15. CHAPTER VII. INFINITE SERIES OF FUNCTIONS
  16. CHAPTER VIII. LEBESGUE MEASURE
  17. CHAPTER IX. LEBESGUE INTEGRABLE FUNCTIONS
  18. APPENDIX
  19. SUGGESTIONS FOR FUTHER READING
  20. SOLUTIONS TO SELECTED PROBLEMS
  21. Subject Index