Free Book Online
Categories
An Invitation to Real Analysis (Mathematical Association of America Textbooks)

Pdf

An Invitation to Real Analysis (Mathematical Association of America Textbooks)

2.3 (3754)

Log in to rate this item

    Available in PDF Format | An Invitation to Real Analysis (Mathematical Association of America Textbooks).pdf | Unknown
    Luis F. Moreno
An Invitation to Real Analysis is written both as a stepping stone to higher calculus and analysis courses, and as foundation for deeper reasoning in applied mathematics. This book also provides a broader foundation in real analysis than is typical for future teachers of secondary mathematics. In connection with this, within the chapters, students are pointed to numerous articles from The College Mathematics Journal and The American Mathematical Monthly. These articles are inviting in their level of exposition and their wide-ranging content. Axioms are presented with an emphasis on the distinguishing characteristics that new ones bring, culminating with the axioms that define the reals. Set theory is another theme found in this book, beginning with what students are familiar with from basic calculus. This theme runs underneath the rigorous development of functions, sequences, and series, and then ends with a chapter on transfinite cardinal numbers and with chapters on basic point-set topology. Differentiation and integration are developed with the standard level of rigor, but always with the goal of forming a firm foundation for the student who desires to pursue deeper study. A historical theme interweaves throughout the book, with many quotes and accounts of interest to all readers. Over 600 exercises and dozens of figures help the learning process. Several topics (continued fractions, for example), are included in the appendices as enrichment material. An annotated bibliography is included.  
4.3 (10507)
  • Pdf

*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch.
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes

Book details

  • PDF | 680 pages
  • Luis F. Moreno
  • Mathematical Association of America
  • Unknown
  • 8
  • Reference
Read online or download a free book: An Invitation to Real Analysis (Mathematical Association of America Textbooks)

Review Text

Name:
The message text:

Other Ebook

Miscellanea