Logo - springer
Slogan - springer

Mathematics - Analysis | Single Variable Differential and Integral Calculus - Mathematical Analysis

Single Variable Differential and Integral Calculus

Mathematical Analysis

Mahmudov, Elimhan

2013, XVI, 373 p. 41 illus.

A product of Atlantis Press
Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$59.95

(net) price for USA

ISBN 978-94-91216-86-2

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$79.95

(net) price for USA

ISBN 978-94-91216-85-5

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • 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
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.

Content Level » Upper undergraduate

Keywords » Derivative - Interpolation - Lebesgue integral - Measure theory

Related subjects » Analysis - Dynamical Systems & Differential Equations

Table of contents / Preface / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Analysis.