Math 157

The Principles of Mathematics,

an e-book work in progress

 
by Dr. Padraig McLoughlin

 

 

 

in memory of my mother,

 

 

 

who is responsible for any of my successes and

in no way can be blamed for any of my shortcomings....

 

You can read the book via the web in HTML form or

download a copy of it in PDF form (which requires Adobe Acrobat Reader) .  

 

 

         Math 157 Book Introduction (HTML)  [book introduction.pdf]

 

         Math 157 Book Table of Contents (HTML)   [book table of contents.pdf]

 

Chapter 0:    Reasoning

    Math 157 Book Chapter Zero (HTML) [chapter zero reasoning.pdf]

Chapter 1:    An Introduction to Logic

   Math 157 Book Chapter One (HTML) [chapter one logic.pdf]

Chapter 2:       An Introduction to the Basic Concepts of Sets,

                   Syllogistic Logic, and Quantification

   Math 157 Book Chapter Two (HTML) [chapter two sets.pdf] 

Chapter 3:        An Introduction to Axioms and Mathematical Systems,

                           Arithmetic, The Peano Axioms, and Mathematical Induction

  Math 157 Book Chapter Three (HTML) [Chapter Three Axiom Systems.pdf]           

Chapter 4:      Combinatorics

  Math 157 Book Chapter Four (for downloading) [PDF -not finished yet]    

Chapter 5:          An Introduction to the Axioms of Probability,

                            Elementary Probability Theory,  and Stochastic Processes

         Math 157 Book Chapter Five (for downloading) [PDF - not produced yet]  

Chapter 6:          More Results from Probability Theory and

                       an Introduction to Mathematical Statistics.

           Math 157 Book Chapter Six (for downloading) [PDF- not produced yet]            

  Math 157 Book Chapter Seven (for downloading) [PDF- not produced yet]            

  Math 157 Book Chapter Eight (for downloading) [PDF- not produced yet]            

Math 157 Book Solutions Manual (for downloading and printing) [PDF]

Math 157 Student Created Solutions [HTML or DOC]

Math 157 Book Chapter Two (for reading on the web) [HTML]

      Math 157 Book Chapter One (for reading on the web) [HTML]

Math 157 Book Chapter Three (for reading on the web) [HTML]

 

© M. P. M. M. McLoughlin, 2000 - 2004.