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Название: Geometric Algebra for Physicists
Авторы: Doran C., Lasenby A.
This book has a good introduction to geometric algebra. This includes an excellent axiomatic presentation, unlike the Hestenes New Foundations book where the basic identities are presented rather randomly.The title of this book "for Physicists", is very accurate. This book assumes a great deal of physics knowledge and many subjects are not covered in enough detail for comprehensibility for first time study. With an engineering education, much of the physics in this book is over my head. Many important details are treated very much more briefly than I would personally like. This is justifiable unfortunately since the book would otherwise be three thousand pages long.In order to understand the parts of this book that I have now covered, I have had to also go off on the side and learn aspects of relativity, tensors, electromagnetism, Lagrangians, Noether's theorem, and much more (QM and more relativity and more E&M are next on my list before returning to this book).Studying this text continues to be a fun project, and if I ever finish this book I believe I will have a fairly good understanding of basic physics. Despite being a very hard book to grasp due to brevity and advanced topics, taking the time to work through the details provides valuable insights, and yields approaches that would not be obvious with only traditional formulations.