The Algebra of Coplanar Vectors and Trigonometry (Classic Reprint)

R. Baldwin Hayward

ISBN 10: 1330159500 / ISBN 13: 9781330159507

Published by Forgotten Books, 2018

About this Item

Print on Demand. This book delves into the fascinating realm of mathematics, exploring the fusion of algebra and geometry through the lens of vectors. It offers a unique perspective on trigonometry, presenting it not as a separate entity but as a natural extension of vector algebra. Emerging from a time when mathematicians grappled with the concept of imaginary numbers, the author builds upon the foundations laid by pioneers like De Morgan and Argand. Their innovative approach to representing complex numbers geometrically paved the way for a deeper understanding of mathematical concepts. This book not only provides a comprehensive treatment of vector algebra and trigonometry but also delves into advanced topics such as infinite series, complex indices, and logarithms. Through clear explanations and illustrative examples, the author illuminates the interconnectedness of these mathematical ideas. By bridging the gap between algebra and geometry, this book unveils the elegance and power of mathematical reasoning, showcasing the profound implications of seemingly abstract concepts in understanding the world around us. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.

Seller Inventory # 9781330159507_0

Bibliographic Details

• Title: The Algebra of Coplanar Vectors and Trigonometry (Classic Reprint)
• Publisher: Forgotten Books
• Publication Date: 2018
• Language: English
• ISBN 10: 1330159500
• ISBN 13: 9781330159507
• Binding: Paperback
• Condition: New
• Book Type: print-on-demand item
• Seller catalogs:
  • Calculus

About this title

Synopsis

Explore how complex numbers come alive on the plane with clear, hands‑on explanations.

In this edition, you’ll see foundational ideas about complex functions, roots of unity, and rational functions laid out with geometric insight and concrete examples. The material guides you from basic concepts to the study of curves and their behavior, all tied to familiar algebraic ideas.

The discussion emphasizes visual representations and step‑by‑step reasoning, helping you see why roots, factors, and radical points matter in a broader mathematical picture. Through worked examples and careful explanations, you’ll learn how changing viewpoints or origins affects the form of a function without changing its value. This edition also explores how cubic functions behave, including their asymptotes and guiding curves, using simple scalar coefficients to keep the narrative approachable.

• Concepts like roots of unity, radical points, and their geometric interpretations
• Techniques for expressing and analyzing conjugate functions derived from rational functions
• Concrete cubic function scenarios that illustrate curve systems and asymptotes
• Strategies for understanding how altering origin or scale changes equations, not results

Ideal for readers who want a solid, practical grounding in complex variables and their plane representations.