Title
A History Of Vector Analysis: The Evolution Of The Idea Of A Vectorial System (Dover Books On Mathematics),New
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On October 16, 1843, Sir William Rowan Hamilton Discovered Quaternions And, On The Very Same Day, Presented His Breakthrough To The Royal Irish Academy. Meanwhile, In A Less Dramatic Style, A German High School Teacher, Hermann Grassmann, Was Developing Another Vectorial System Involving Hypercomplex Numbers Comparable To Quaternions. The Creations Of These Two Mathematicians Led To Other Vectorial Systems, Most Notably The System Of Vector Analysis Formulated By Josiah Willard Gibbs And Oliver Heaviside And Now Almost Universally Employed In Mathematics, Physics And Engineering. Yet The Gibbsheaviside System Won Acceptance Only After Decades Of Debate And Controversy In The Latter Half Of The Nineteenth Century Concerning Which Of The Competing Systems Offered The Greatest Advantages For Mathematical Pedagogy And Practice.This Volume, The First Largescale Study Of The Development Of Vectorial Systems, Traces He Rise Of The Vector Concept From The Discovery Of Complex Numbers Through The Systems Of Hypercomplex Numbers Created By Hamilton And Grassmann To The Final Acceptance Around 1910 Of The Modern System Of Vector Analysis. Professor Michael J. Crowe (University Of Notre Dame) Discusses Each Major Vectorial System As Well As The Motivations That Led To Their Creation, Development, And Acceptance Or Rejection.The Vectorial Approach Revolutionized Mathematical Methods And Teaching In Algebra, Geometry, And Physical Science. As Professor Crowe Explains, In These Areas Traditional Cartesian Methods Were Replaced By Vectorial Approaches. He Also Presents The History Of Ideas Of Vector Addition, Subtraction, Multiplication, Division (In Those Systems Where It Occurs) And Differentiation. His Book Also Contains Refreshing Portraits Of The Personalities Involved In The Competition Among The Various Systems.Teachers, Students, And Practitioners Of Mathematics, Physics, And Engineering As Well As Anyone Interested In The History Of Scientific Ideas Will Find This Volume To Be Well Written, Solidly Argued, And Excellently Documented. Reviewers Have Described It A S 'A Fascinating Volume,' 'An Engaging And Penetrating Historical Study' And 'An Outstanding Book (That) Will Doubtless Long Remain The Standard Work On The Subject.' In 1992 It Won An Award For Excellence From The Jean Scott Foundation Of France.
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- Q: How many pages does this book have? A: This book has two hundred seventy pages. It offers a detailed exploration of the evolution of vector analysis.
- Q: What is the binding type of this book? A: This book is available in paperback binding. This makes it lightweight and easy to handle for reading.
- Q: What are the dimensions of this book? A: The dimensions are five point four four inches in length, zero point six three inches in width, and eight point four four inches in height. These dimensions make it a convenient size for bookshelves.
- Q: Who is the author of this book? A: The author of this book is Michael J. Crowe. He is a noted scholar in the field of mathematics.
- Q: What is the primary subject of this book? A: The primary subject is vector analysis. It discusses the history and evolution of vectorial systems.
- Q: Is this book suitable for beginners in mathematics? A: Yes, this book is suitable for beginners. It provides a well-structured introduction to the history of vector analysis.
- Q: What audience would benefit from reading this book? A: Teachers, students, and practitioners of mathematics, physics, and engineering will benefit from this book. It also appeals to anyone interested in the history of scientific ideas.
- Q: What themes are covered in the book? A: The book covers themes of mathematical pedagogy, the development of vectorial systems, and the historical context of scientific ideas. It emphasizes how vectorial approaches revolutionized various fields.
- Q: Is this book a good resource for teaching mathematics? A: Yes, it is an excellent resource for teaching mathematics. Reviewers have praised it for its engaging historical analysis and clarity.
- Q: What should I do if I receive a damaged book? A: If you receive a damaged book, you should contact the seller for a replacement or refund. Most sellers have a return policy for such issues.
- Q: Can I find this book in digital format? A: This specific edition is primarily available in paperback. However, you may check for digital formats from various online retailers.
- Q: Is there a warranty or return policy for this book? A: Typically, books have a return policy but not a warranty. Check the seller's website for specific return terms.
- Q: What if I have questions about the content of the book? A: If you have questions about the content, you can look for reviews or academic discussions online. Alternatively, consider reaching out to educational forums.
- Q: Does this book include illustrations or diagrams? A: No, this book does not focus on illustrations or diagrams. It primarily consists of text discussing vector analysis.
- Q: Is this book appropriate for advanced mathematics courses? A: Yes, it is appropriate for advanced mathematics courses. It provides historical context and theoretical discussions valuable for deeper study.