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

Description

Book Synopsis: This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. This is the printing of September 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 Read more

Details

Looking to take your understanding of vector and geometric calculus to the next level? Look no further than our comprehensive textbook on Vector and Geometric Calculus. Designed specifically for undergraduate students, this book offers a unified treatment of both vector and geometric calculus. With its powerful generalizations and a focus on traditional vector calculus topics, this textbook will equip you with the essential vocabulary of mathematics. Plus, it includes a final chapter devoted to differential geometry, a field widely used in various disciplines. Download the book's table of contents, preface, and index from our website now at faculty.luther.edu/~macdonal/vagc.

Let our Vector and Geometric Calculus textbook be your step-by-step guide to mastering geometric algebra and calculus. Building upon the foundation laid by the author's previous work, Linear and Geometric Algebra, this sequel is a must-have resource for any serious student. The author's clear and even writing style, coupled with the originality of presentation, make this textbook an ideal choice for independent learning. Whether you're new to geometric algebra or need a thorough review of linear algebra, this carefully crafted text has got you covered. Don't miss out on the opportunity to enhance your geometric algebra skills – check out our website now at faculty.luther.edu/~macdonal/vagc.

Ready to explore the world of geometric calculus and take your understanding of vector calculus to new heights? Our Vector and Geometric Calculus textbook will transcend your expectations. With its unified treatment of vector and geometric calculus, this comprehensive textbook delves into the essential topics that you will encounter in other texts and fields. The September 2023 printing ensures you're working with the most up-to-date information, while the inclusion of a final chapter on differential geometry expands your knowledge even further. Don't wait any longer to uncover the potential of geometric calculus – visit our website now at faculty.luther.edu/~macdonal/vagc and download the book's table of contents, preface, and index for a sneak peek into what this incredible resource has to offer.

Unleash the power of geometric calculus with our Vector and Geometric Calculus textbook. Designed as a successor to the highly acclaimed Linear and Geometric Algebra, this textbook is your key to mastering the field. Whether you're just beginning your journey into geometric algebra or looking for a review of linear algebra, this text offers a clear and well-structured approach that will guide you every step of the way. With its comprehensive coverage of traditional vector calculus topics and a dedicated chapter on differential geometry, this textbook opens the door to a wide range of applications. Visit our website today at faculty.luther.edu/~macdonal/vagc to access the book's table of contents, preface, and index, and start your transformative learning experience.

Discover the beauty of geometric calculus with our groundbreaking textbook, Vector and Geometric Calculus. Authored by Alan Macdonald, a renowned mathematics teacher, this textbook offers a unique approach to learning geometric algebra while simultaneously reinforcing your knowledge of linear algebra. Perfect for self-study or classroom use, its clarity and originality of presentation set it apart from other resources in the field. Gain a solid foundation in geometric algebra in isolation or complement your existing knowledge – either way, this carefully crafted text is sure to meet your needs. With its September 2023 printing and a dedicated chapter on differential geometry, this textbook is a valuable asset for any enthusiastic student. Take the first step towards geometric excellence – visit our website now at faculty.luther.edu/~macdonal/vagc and realize the boundless potential of geometric calculus.

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