Title
The History Of The Calculus And Its Conceptual Development (Dover Books On Mathematics),New
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This Book, For The First Time, Provides Laymen And Mathematicians Alike With A Detailed Picture Of The Historical Development Of One Of The Most Momentous Achievements Of The Human Intellect The Calculus. It Describes With Accuracy And Perspective The Long Development Of Both The Integral And The Differential Calculus From Their Early Beginnings In Antiquity To Their Final Emancipation In The 19Th Century From Both Physical And Metaphysical Ideas Alike And Their Final Elaboration As Mathematical Abstractions, As We Know Them Today, Defined In Terms Of Formal Logic By Means Of The Idea Of A Limit Of An Infinite Sequence.But While The Importance Of The Calculus And Mathematical Analysis The Core Of Modern Mathematics Cannot Be Overemphasized, The Value Of This First Comprehensive Critical History Of The Calculus Goes Far Beyond The Subject Matter. This Book Will Fully Counteract The Impression Of Laymen, And Of Many Mathematicians, That The Great Achievements Of Mathematics Were Formulated From The Beginning In Final Form. It Will Give Readers A Sense Of Mathematics Not As A Technique, But As A Habit Of Mind, And Serve To Bridge The Gap Between The Sciences And The Humanities. It Will Also Make Abundantly Clear The Modern Understanding Of Mathematics By Showing In Detail How The Concepts Of The Calculus Gradually Changed From The Greek View Of The Reality And Immanence Of Mathematics To The Revised Concept Of Mathematical Rigor Developed By The Great 19Th Century Mathematicians, Which Held That Any Premises Were Valid So Long As They Were Consistent With One Another. It Will Make Clear The Ideas Contributed By Zeno, Plato, Pythagoras, Eudoxus, The Arabic And Scholastic Mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, And Many Others In The Long Passage From The Greek 'Method Of Exhaustion' And Zeno'S Paradoxes To The Modern Concept Of The Limit Independent Of Sense Experience; And Illuminate Not Only The Methods Of Mathematical Discovery, But The Foundations Of Mathematical Thought As Well.
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- Q: How many pages does the book contain? A: The book contains three hundred sixty-eight pages. It provides a comprehensive exploration of the history of calculus.
- Q: What is the binding type of this book? A: The book is a paperback. This allows for easy handling and reading.
- Q: What are the dimensions of the book? A: The book measures five inches in length, zero point five one inches in width, and eight inches in height. Its compact size makes it portable.
- Q: Who is the author of this book? A: The author is Carl B. Boyer. He is recognized for his contributions to the historical understanding of mathematics.
- Q: What is the main focus of this book? A: The main focus is the historical development of calculus. It covers both integral and differential calculus from antiquity to the nineteenth century.
- Q: Is this book suitable for beginners in mathematics? A: Yes, it is suitable for laymen and mathematicians alike. It provides a detailed yet accessible account of calculus's history.
- Q: Can this book help bridge the gap between sciences and humanities? A: Yes, it aims to bridge that gap. It offers insights into mathematics as a habit of mind, not just a technique.
- Q: What historical figures are discussed in the book? A: The book discusses figures like Zeno, Newton, Leibnitz, and many others. Their contributions to calculus are explored throughout the text.
- Q: Is there a specific reading level recommended for this book? A: While there is no specific reading level, it is accessible to anyone interested in the history of mathematics. Readers should have a basic understanding of mathematical concepts.
- Q: How should I care for this paperback book? A: To care for the book, keep it in a dry place and avoid exposure to direct sunlight. This helps preserve its condition.
- Q: Is this book safe for all ages? A: Yes, the book is suitable for all ages. It provides educational content without inappropriate material.
- Q: What if I receive a damaged book? A: If you receive a damaged book, contact the seller for a return or replacement. Most sellers have policies to address such issues.
- Q: Does this book have a warranty? A: Typically, books do not come with a warranty. However, check with the seller for any specific return policies.
- Q: Can I find this book in libraries? A: Yes, many libraries stock this book. It's a significant work in the field of mathematics history.
- Q: How does this book compare to other calculus history books? A: This book is comprehensive and critically acclaimed. It offers a unique perspective on the evolution of calculus compared to other texts.
- Q: What themes are covered in this book? A: The book covers themes such as the evolution of mathematical thought and the transition from ancient to modern concepts of calculus.