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Vector and Geometric Calculus (Geometric Algebra & Calculus),New
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This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus.This is the printing of December 2023.The book is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one. Its web page is at faculty.luther.edu/~macdonal/laga.Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways.Traditional vector calculus topics are covered, as they must be, since readers will encounter them in other texts and out in the world.Differential geometry is used today in many disciplines. A final chapter is devoted to it.Download the book's table of contents, preface, and index at the book's web site: faculty.luther.edu/~macdonal/vagc.From a review of Linear and Geometric Algebra:Alan Macdonald's text is an excellent resource if you are just beginning the study of geometric algebra and would like to learn or review traditional linear algebra in the process. The clarity and evenness of the writing, as well as the originality of presentation that is evident throughout this text, suggest that the author has been successful as a mathematics teacher in the undergraduate classroom. This carefully crafted text is ideal for anyone learning geometric algebra in relative isolation, which I suspect will be the case for many readers. Jeffrey Dunham, William R. Kenan Jr. Professor of Natural Sciences, Middlebury College
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- Q: What topics are covered in 'Vector and Geometric Calculus'? A: The textbook covers traditional vector calculus topics, differential geometry, and geometric algebra, providing a unified treatment of these subjects.
- Q: Is 'Vector and Geometric Calculus' suitable for beginners? A: This textbook is designed for undergraduate students and serves as a sequel to 'Linear and Geometric Algebra', which is a prerequisite. It may not be ideal for complete beginners without prior exposure to linear algebra.
- Q: Who is the author of 'Vector and Geometric Calculus'? A: The author is Alan Macdonald, who is known for his clarity in teaching mathematical concepts.
- Q: How many pages does the book contain? A: The book contains a total of 211 pages.
- Q: What is the binding type of this textbook? A: The textbook is available in paperback binding.
- Q: When was 'Vector and Geometric Calculus' published? A: The book was published on December 18, 2012.
- Q: What is the item condition of the book? A: The book is listed as new.
- Q: Where can I find additional resources related to this textbook? A: You can download the table of contents, preface, and index from the author's webpage: faculty.luther.edu/~macdonal/vagc.
- Q: Does this book include exercises or problems for practice? A: While the detailed contents are not specified, textbooks in this field typically include exercises and problems to reinforce learning.
- Q: Is this book suitable for advanced studies in calculus? A: While it covers advanced topics like differential geometry, it is primarily aimed at undergraduates, so it may serve as a foundation for further studies.