A Sequential Introduction to Real Analysis

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Calculus
Cover of the book A Sequential Introduction to Real Analysis by J M Speight, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: J M Speight ISBN: 9781783267859
Publisher: World Scientific Publishing Company Publication: October 29, 2015
Imprint: WSPC (EUROPE)/ICP Language: English
Author: J M Speight
ISBN: 9781783267859
Publisher: World Scientific Publishing Company
Publication: October 29, 2015
Imprint: WSPC (EUROPE)/ICP
Language: English

Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. The result is a coherent, mathematically rigorous, but conceptually simple development of the standard theory of differential and integral calculus ideally suited to undergraduate students learning real analysis for the first time.

This book can be used as the basis of an undergraduate real analysis course, or used as further reading material to give an alternative perspective within a conventional real analysis course.

Request Inspection Copy

Contents:

  • Basic Properties of the Set or Real Numbers
  • Real Sequences
  • Limit Theorems
  • Subsequences
  • Series
  • Continuous Functions
  • Some Symbolic Logic
  • Limits of Functions
  • Differentiable Functions
  • Power Series
  • Integration
  • Logarithms and Irrational Powers
  • What are the Reals?

Readership: Undergraduate mathematics students taking a course in real analysis.
Key Features:

  • Unique treatment of real analysis focusing entirely on sequential notions, which students usually learn more easily than with the conventional approach
  • Coherent and consistent mathematical approach
  • Concise development of all the fundamental results in differential and integral calculus
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. The result is a coherent, mathematically rigorous, but conceptually simple development of the standard theory of differential and integral calculus ideally suited to undergraduate students learning real analysis for the first time.

This book can be used as the basis of an undergraduate real analysis course, or used as further reading material to give an alternative perspective within a conventional real analysis course.

Request Inspection Copy

Contents:

Readership: Undergraduate mathematics students taking a course in real analysis.
Key Features:

More books from World Scientific Publishing Company

Cover of the book China-ASEAN Sub-Regional Cooperation by J M Speight
Cover of the book Islamic Perspectives on the Principles of Biomedical Ethics by J M Speight
Cover of the book Applications of Epidemiological Models to Public Health Policymaking by J M Speight
Cover of the book Women, Work and Welfare in the Middle East and North Africa by J M Speight
Cover of the book Cancer Therapeutics and Imaging by J M Speight
Cover of the book The Standard Model and Beyond by J M Speight
Cover of the book Understanding Voltammetry by J M Speight
Cover of the book Functional Calculi by J M Speight
Cover of the book A New Economic Growth Engine for China by J M Speight
Cover of the book Trade Policies for Development and Transition by J M Speight
Cover of the book Computational Physics by J M Speight
Cover of the book Molecular Imaging Probes for Cancer Research by J M Speight
Cover of the book Institutional Change and the Development of Industrial Clusters in China by J M Speight
Cover of the book Emerging Medical Technologies by J M Speight
Cover of the book Interactions in Multiagent Systems by J M Speight
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy