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Science & Mathematics - Linear and Geometric Algebra (Geometric Algebra & Calculus)

Description

Book Synopsis: This textbook for the first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. This is the August 2022 printing, corrected and slightly revised. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. Visit the book’s web site for more information: http://faculty.luther.edu/~macdonal/laga I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors. -- David Hestenes, Distinguished Research Professor, Arizona State University Read more

Details

Looking for a comprehensive and innovative approach to learning linear algebra? Look no further than our Linear and Geometric Algebra (Geometric Algebra & Calculus) book. This textbook is specially designed for first undergraduate courses and presents a unified treatment of linear algebra and geometric algebra, covering all the essential topics you need to know. With the August 2022 printing, corrected and slightly revised, you can be confident that you are getting the latest and most accurate information.

Geometric algebra extends the traditional linear algebra concepts, offering a fresh and enhanced perspective on various mathematical topics. But it doesn't stop there - it goes even further by providing a unified mathematical language for physics, computer science, and other fields. With geometric algebra and its geometric calculus extension, you can simplify, generalize, and unify vast areas of mathematics, making it an invaluable resource for any aspiring mathematician or practitioner in related fields.

Whether you're a student looking to supplement your coursework or a self-learner eager to deepen your understanding of linear and geometric algebra, this book is perfect for you. It follows a theorem/proof style, making it ideal for those who are comfortable with this approach. And don't just take our word for it - renowned mathematician David Hestenes commends author Alan Macdonald for his excellent work. Hestenes praises the book's clear exposition and gradual transition from traditional linear algebra to geometric algebra, ensuring that both students and instructors will be delighted and surprised by the gems of geometric algebra they discover.

Ready to embark on your journey into the world of linear and geometric algebra? Visit the book’s web site for more information: Book Website

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