s p o n s o r e d   l i n k s


Calculus Unlimited.pdf

October 27, 2009 · Filed Under Math  · Tags: , , , ,

Taken from Purpose: This book is intended to supplement our text, Calculus (Benjamin/Cummings, 1980), or virtually any other calculus text (see page vii, How To Use This Book With Your Calculus Text). As the title Calculus Unlimited implies, this text presents an alternative treatment of calculus using the method of exhaustion for the derivative and integral in place of limits. With the aid of this method, a definition of the derivative may be introduced in the first lecture of a calculus course for students who are familiar with functions and graphs. Approach: Assuming an intuitive understanding of real numbers, we begin in Chapter 1 with the definition of the derivative. The axioms for real numbers are presented only when needed, in the discussion of continuity. Apart from this, the development is rigorous and contains complete proofs. As you will note, this text has a more geometric flavor than the usual analytic treatment of calculus. For example, our definition of completeness is in terms of convexity rather than least upper bounds, and Dedekind cuts are replaced by the notion of a transition point.

Contents:

  • THE DERIVATIVE
  • TRANSITIONS AND DERIVATIVES
  • ALGEBRAIC RULES FOR DIFFERENTIATION
  • THE REAL NUMBERS
  • CONTINUITY
  • GRAPHING
  • THE MEAN VALUE THEOREM
  • INVERSE FUNCTIONS AND THE CHAIN RULE
  • THE TRIGONOMETRIC FUNCTIONS
  • THE EXPONENTIAL AND LOGARITHM FUNCTIONS
  • THE INTEGRAL
  • THE FUNDAMENTAL THEOREM OF CALCULUS
  • LIMITS AND THE FOUNDATIONS OF CALCULUS

This calculus textbook is available FREE at Caltech Library Service website, we merely collect the information, Online Free Ebooks neither affiliated with the author(s), the website and any brand nor responsible for its content and change of content. (Read our disclaimer here or here before you download the document from the website written above by clicking the below link).

Download free Calculus Unlimited (pages pdf file,8 MB).

Related posts




You might also be interested in reading:
calculus pdf free download, CALCULUS PDF, calculus, free download calculus formulas pdf, Integral Calculus ebook free download, free download text book of calculus, e book calculus, free e books math pdf, calculus download, calculus free ebook download
« Prev

Disclaimer

http://www.onlinefreeebooks.net - provides you collection of links to other websites containing ebooks/manuals/cheatsheets either for computer geeks, technicians, automotive enthusiasts or programmers. We merely take the power of Google Search to find those materials and link to it. NONE OF THOSE MATERIALS ARE HOSTED IN THIS SERVER NOR UPLOADED BY ME IN SOMEONE'S SERVERS.

We are neither affiliated with authors and brands nor responsible for its content and change of content.

Information contained herein is provided "as is" without warranty of any kind, either expressed or implied, including any warranty of merchantability or fitness for a particular purpose. In no event shall ANYONE be held liable for any loss of profit, special, incidental, consequential, or other similar claims.

Comments

Leave a Reply