Improper Riemann Integrals
eBook - ePub

Improper Riemann Integrals

  1. 442 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Improper Riemann Integrals

About this book

The scope of this book is the improper or generalized Riemann integral and infinite sum (series). The reader will study its convergence, principal value, evaluation and application to science and engineering. Improper Riemann integrals and infinite sums are interconnected. In the new edition, the author has involved infinite sums more than he did in the first edition. Apart from having computed and listed a large number of improper integrals and infinite sums, we have also developed the necessary theory and various ways of evaluating them or proving their divergence. Questions, problems and applications involving various improper integrals and infinite sums (series) of numbers emerge in science and application very often. Their complete presentations and all rigorous proofs would require taking the graduate-level courses on these subjects. Here their statements are adjusted to a level students of all levels can understand and use them efficiently as powerful tools in a large list of problems and applications.

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Yes, you can access Improper Riemann Integrals by Ioannis Roussos,Ioannis Markos Roussos in PDF and/or ePUB format, as well as other popular books in Mathematics & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover Page
  2. Half-Title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Acknowledgments
  8. Prologue
  9. Additional Prologue
  10. Note for Readers
  11. 1 Improper Riemann Integrals, Definitions, Criteria
  12. 2 Calculus Techniques
  13. 3 Real Analysis Techniques
  14. 4 Laplace Transform
  15. Bibliography
  16. Index