Single Variable Differential and Integral Calculus

Mathematical Analysis

Authors: Mahmudov, Elimhan

  • Treatment of countable and uncountable sets, the cardinality of the continuum; Dedekind completeness theorem for the set of real numbers
  • Coverage of polynomials and interpolation, Lagrange and Newton interpolation formulas
  • Inclusion of Lebesgue measure and Lebesgue integrals
  • Interesting applications: potential and kinetic energy, a body in the earth’s gravitational field, escape
  • At the end of each chapter, many of challenging of problems with answers
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eBook $59.99
price for USA (gross)
  • ISBN 978-94-91216-86-2
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  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-94-91216-85-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-94-6239-040-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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About this Textbook

The book “Single variable Differential and Integral Calculus” is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field. This book is unique in the field of mathematical analysis in content and in style. It aims to define, compare and discuss topics in single variable differential and integral calculus, as well as giving application examples in important business fields. Some elementary concepts such as the power of a set, cardinality, measure theory, measurable functions are introduced. It also covers real and complex numbers, vector spaces, topological properties of sets, series and sequences of functions (including complex-valued functions and functions of a complex variable), polynomials and interpolation and extrema of functions. Although analysis is based on the single variable models and applications, theorems and examples are all set to be converted to multi variable extensions. For example, Newton, Riemann, Stieltjes and Lebesque integrals are studied together and compared.

Table of contents (10 chapters)

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-94-91216-86-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-94-91216-85-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-94-6239-040-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Single Variable Differential and Integral Calculus
Book Subtitle
Mathematical Analysis
Authors
Copyright
2013
Publisher
Atlantis Press
Copyright Holder
Atlantis Press
eBook ISBN
978-94-91216-86-2
DOI
10.2991/978-94-91216-86-2
Hardcover ISBN
978-94-91216-85-5
Softcover ISBN
978-94-6239-040-9
Edition Number
1
Number of Pages
XVI, 373
Topics