title: Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics)
author: D. Hestenes
description: <strong>`</strong>... future authors will owe a great debt to Professors Hestenes and Sobczyk for this pioneering work.<strong>'</strong> <strong>Foundations of Physics, 16, 1986</strong> <br/> <strong>`</strong>I repeat that GC enriches and simplifies everything it touches, not just on an advanced level but also, and perhaps even more so, on an elementary level. I am convinced that GC should be taught to undergraduate in place of the traditional approaches to vector algebra and analysis.<strong>'</strong> <strong>James S. Marsh</strong> in <strong>American Journal of Physics</strong> <br/> <strong>`</strong>If the physics community seizes the opportunity represented by this book, and I hope it does, this book will become the handbook and the bible of GC.<strong>'</strong> <strong>American Journal of Physics, 53:5 (1985)</strong> <br/>
zlib_text: TREATISE OF PLANE GEOMETRY 
   THROUGH GEOMETRIC ALGEBRA 
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
   
  Ramon González Calvet 
   
   
   
  
  TREATISE OF PLANE GEOMETRY THROUGH GEOMETRIC ALGEBRA 
   
  Ramon González Calvet 
    
   
   
  The 
  geometric 
  algebra, 
  initially discovered by Hermann 
  Grassmann 
  (1809-1877) 
  was 
  reformulated by William Kingdon 
  Clifford (1845-1879) through the 
  synthesis 
  of 
  the 
  Grassmann’s 
  extension 
  theory 
  and 
  the 
  quaternions of Sir William Rowan 
  Hamilton (1805-1865). In this way 
  the bases of the geometric algebra 
  were established in the XIX 
  century. Notwithstanding, due to 
  the premature death of Clifford, the 
  vector analysis −a remake of the 
  quaternions by Josiah Willard 
  Gibbs (1839-1903) and Oliver 
  Heaviside (1850-1925)− became, 
  after a long controversy, the 
  geometric language of the XX century; the same vector analysis whose beauty attracted the 
  attention of the author in a course on electromagnetism and led him -being still 
  undergraduate-  to read the Hamilton