This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students.
DESTINY HAS INTRIGUED THE HUMAN RACE FROM THE BEGINNING OF TIME. THE WHYS AND WHEREFORES OF UNEXPECTED OCCURRENCES, SUCH AS WASHED OUT DREAMS, OR PLEASANT SURPRISES COULD HAPPEN TO ANYONE, ANYWHERE.
THIS IS AN EXCEPTIONAL TRUE STORY OF ONE MAN'S ADVENTURE TO CAPTURE THE WOMAN OF HIS DREAMS, AND DEMONSTRATE HOW A PERSON WITH LOW SELF-ESTEEM CAN OVERCOME INSURMOUNTABLE ODDS, TO REACH THE PINNACLE OF LIFE!
FOLLOWING THE DEATH OF HIS WIFE, DOUG ANDERSON HAD TO RE-EVALUATE EVERYTHING--- HIS PERCEPTION OF HIMSELF; HIS LOW SELF-ESTEEM, HIS OPPORTUNITY FOR MARRIAGE, HIS OVERALL FUTURE.
LET DOUG ANDERSON SHARE WITH YOU THE CIRCUMSTANCES THAT BOTH ENHANCED AND BROUGHT A BEAUTIFUL MILLIONAIRE INTO HIS LIFE.
THE PURPOSE OF THIS BOOK IS TO FACILITATE OTHERS IN FINDING THE MATE OF THEIR DREAMS; WHETHER IT IS A MILLIONAIRE, A LOVE RELATIONSHIP, OR JUST A GOOD FRIEND. THIS STORY WILL GIVE INSIGHT ON HOW TO OBTAIN ALMOST UNREALISTIC GOALS.
EXCERPTS FROM "HOW TO GET A MILLIONAIRE THROUGH INTERNET DATING":
"I was $500,000.00 in debt."
"Oh, I thought, if she would only be impressed!"
"So far, everything was working according to my plans."
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