Introduction to Calculus and Classical Analysis (Undergraduate Texts in Mathematics) - Softcover

Hijab, Omar

Softcover

ISBN 10: 1461428424 ISBN 13: 9781461428428

Publisher: Springer, 2013

Synopsis

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.

Some features of the text:

• The text is completely self-contained and starts with the real number axioms;
  
• The integral is defined as the area under the graph, while the area is defined for every subset of the plane;
  
• There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;
  
• There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;
  
• Traditionally transcendentally presented material, such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;
  
• There are 385 problems with all the solutions at the back of the text.

About this title

From the Back Cover

This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This third edition includes corrections as well as some additional material.

Some features of the text:

• The text is completely self-contained and starts with the real number axioms;
  
• The integral is defined as the area under the graph, while the area is defined for every subset of the plane;
  
• There is a heavy emphasis on computational problems, from the high-school quadratic formula to the formula for the derivative of the zeta function at zero;
  
• There are applications from many parts of analysis, e.g., convexity, the Cantor set, continued fractions, the AGM, the theta and zeta functions, transcendental numbers, the Bessel and gamma functions, and many more;
  
• Traditionally transcendentally presented material,such as infinite products, the Bernoulli series, and the zeta functional equation, is developed over the reals;
  
• There are 385 problems with all the solutions at the back of the text.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 1461428424
• ISBN 13: 9781461428428
• Binding: Paperback
• Edition number: 3
• Number of pages: 376