The elements of algebra were known to the ancient Mesopotamians at least 4000 years ago. Today algebra stands as one of the cornerstones of modern mathematics. How then did the subject evolve? How did its constituent ideas and concepts arise, and how have they changed over the years? These are the questions that the authors address in this work. The authors challenge the existing view that the development of algebra was driven by the investigation of determinate equations and in particular their solution by radicals. In short they claim that the study of indeterminate equations was no less important. Historians of mathematics, as well as working algebraists who want to look into the history of their subject, will find this an illuminating read.
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As is so well documented in this book, the concrete applications of geometry was the first of the mathematical arts, closely followed by algebra. While necessary to measure the physical world, geometry as we now know it would have been very limited without the ability to express the ideas in symbols. The authors also convincingly argue that the solving of indeterminate equations was no less significant than the solving of determinate equations in the evolution of algebra...I found this book captivating as the authors present in great detail how algebra evolved from the first primitive steps to the dynamic and encompassing entity that it is today. Every mathematician should take some time to read this book and appreciate what their predecessors did. -- Charles Ashbacher, Charles Ashbacher Technologies
Language Notes
Text: English (translation)
Original Language: Russian
Original Language: Russian
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First Sentence:
The elements of algebra were created in ancient Babylonia, two millennia BCE. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
literal calculus, squarable lunes, indeterminate equations, geometric algebra, ideal factors, ancient mathematics, algebraic integers, splitting field, initial equation, algebraic numbers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Arab East, Leonardo Pisano, Luca Pacioli, Rafael Bombelli, Claudius Ptolemy, Diophantus of Alexandria, Abu Kamil, Auguste Chevalier, Girolamo Cardano, Hippocrates of Chios, Omar Khayam, Xth Supplement New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The elements of algebra were created in ancient Babylonia, two millennia BCE. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
literal calculus, squarable lunes, indeterminate equations, geometric algebra, ideal factors, ancient mathematics, algebraic integers, splitting field, initial equation, algebraic numbers Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euclid's Elements, Arab East, Leonardo Pisano, Luca Pacioli, Rafael Bombelli, Claudius Ptolemy, Diophantus of Alexandria, Abu Kamil, Auguste Chevalier, Girolamo Cardano, Hippocrates of Chios, Omar Khayam, Xth Supplement New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 28
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11
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- Lectures on Number Theory (History of Mathematics Source Series, V. 16) by Peter Gustav Lejeune Dirichlet on page 137, and page 139
- The Book of My Life (New York Review Books Classics) by Girolamo Cardano on page 67, and page 70
- The Exact Sciences in Antiquity by O. Neugebauer in Back Matter
- Geometry and Algebra in Ancient Civilizations by B. L. Van Der Waerden in Back Matter
- Lion Hunting and Other Mathematical Pursuits: A Collection of Mathematics, Verse, and Stories (Dolciani Mathematical Expositions) by Ralph P. Boas Jr in Front Matter
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- Mathematical Evolutions (Spectrum Series) by Abe Shenitzer on page 83, and Back Matter
- The Honors Class: Hilbert's Problems and Their Solvers by Ben Yandell in Back Matter
- The Honors Class: Hilbert's Problems and Their Solvers by Ben Yandell in Back Matter
- Mathematical Delights (Dolciani Mathematical Expositions) by Ross Honsberger in Front Matter
- Which Way Did the Bicycle Go?: And Other Intriguing Mathematical Mysteries (Dolciani Mathematical Expositions) by Joseph D. E. Konhauser in Front Matter
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