Logo - springer
Slogan - springer

Birkhäuser - Birkhäuser Mathematics | Analysis II

Analysis II

Amann, Herbert, Escher, Joachim

2008, XII, 400 p.

A product of Birkhäuser Basel
Available Formats:

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.


(net) price for USA

ISBN 978-3-7643-7478-5

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Softcover (also known as softback) version.

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

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-3-7643-7472-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • Cauchy’s integral theorems and the theory of holomorphic functions including the homological version of the residue theorem are derived as an application of the theory of line integrals
  • In addition to the calculation of important definite integrals which appear in Mathematics and in Physics, theoretic properties of the Gamma function and Riemann’s Zeta function are explored
  • Numerous examples with varying degrees of difficulty and many informative figures
  • Continues the modern and clear development that started in Volume I

The second volume of this introduction into analysis deals with the integration theory of functions of one variable, the multidimensional differential calculus and the theory of curves and line integrals. The modern and clear development that started in Volume I is continued. In this way a sustainable basis will be created which allows the reader to deal with interesting applications that sometimes go considerably beyond the material that is represented in traditional textbooks. This applies, for instance, to the exploration of Nemytskii operators which enable a transparent introduction into the calculus of variations and the derivation of the Euler-Lagrange equations.

The book contains numerous examples with varying degrees of difficulty and many informative figures.

This volume will interest advanced undergraduate and graduate students, advisors and teachers.

Content Level » Lower undergraduate

Keywords » Calculation - Complex analysis - Derivation - Derivative - Fourier series - Manifold - Meromorphic function - Real analysis - Variable - calculus - differential equation - equation - function - gamma function

Related subjects » Birkhäuser Mathematics

Table of contents / Preface 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

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