Title
100 Great Problems Of Elementary Mathematics (Dover Books On Mathematics),Used
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The Collection, Drawn From Arithmetic, Algebra, Pure And Algebraic Geometry And Astronomy, Is Extraordinarily Interesting And Attractive.' Mathematical Gazettethis Uncommonly Interesting Volume Covers 100 Of The Most Famous Historical Problems Of Elementary Mathematics. Not Only Does The Book Bear Witness To The Extraordinary Ingenuity Of Some Of The Greatest Mathematical Minds Of History Archimedes, Isaac Newton, Leonhard Euler, Augustin Cauchy, Pierre Fermat, Carl Friedrich Gauss, Gaspard Monge, Jakob Steiner, And Many Others But It Provides Rare Insight And Inspiration To Any Reader, From High School Math Student To Professional Mathematician. This Is Indeed An Unusual And Uniquely Valuable Book.The One Hundred Problems Are Presented In Six Categories: 26 Arithmetical Problems, 15 Planimetric Problems, 25 Classic Problems Concerning Conic Sections And Cycloids, 10 Stereometric Problems, 12 Nautical And Astronomical Problems, And 12 Maxima And Minima Problems. In Addition To Defining The Problems And Giving Full Solutions And Proofs, The Author Recounts Their Origins And History And Discusses Personalities Associated With Them. Often He Gives Not The Original Solution, But One Or Two Simpler Or More Interesting Demonstrations. In Only Two Or Three Instances Does The Solution Assume Anything More Than A Knowledge Of Theorems Of Elementary Mathematics; Hence, This Is A Book With An Extremely Wide Appeal.Some Of The Most Celebrated And Intriguing Items Are: Archimedes' 'Problema Bovinum,' Euler'S Problem Of Polygon Division, Omar Khayyam'S Binomial Expansion, The Euler Number, Newton'S Exponential Series, The Sine And Cosine Series, Mercator'S Logarithmic Series, The Fermateuler Prime Number Theorem, The Feuerbach Circle, The Tangency Problem Of Apollonius, Archimedes' Determination Of Pi, Pascal'S Hexagon Theorem, Desargues' Involution Theorem, The Five Regular Solids, The Mercator Projection, The Kepler Equation, Determination Of The Position Of A Ship At Sea, Lambert'S Comet Problem, And Steiner'S Ellipse, Circle, And Sphere Problems.This Translation, Prepared Especially For Dover By David Antin, Brings Drrie'S 'Triumph Der Mathematik' To The Englishlanguage Audience For The First Time.
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- Q: What is the main focus of '100 Great Problems of Elementary Mathematics'? A: The book covers 100 famous historical problems in elementary mathematics, drawn from various fields including arithmetic, algebra, geometry, and astronomy.
- Q: Who is the author of this book? A: The author of '100 Great Problems of Elementary Mathematics' is Heinrich Dorrie.
- Q: What types of problems are included in this book? A: The book presents problems in six categories: arithmetical, planimetric, conic sections and cycloids, stereometric, nautical and astronomical, and maxima and minima problems.
- Q: Is this book suitable for beginners in mathematics? A: Yes, the book is suitable for a wide audience, from high school students to professional mathematicians, as it provides insights and solutions accessible to various skill levels.
- Q: When was '100 Great Problems of Elementary Mathematics' published? A: The book was published on June 1, 1965.
- Q: What is the format of the book? A: The book is available in paperback format and contains 416 pages.
- Q: Does this book provide solutions and proofs for the problems? A: Yes, the book includes full solutions and proofs for each problem, along with discussions of their origins and historical context.
- Q: Are there any notable problems featured in this book? A: Yes, it features celebrated problems such as Archimedes' 'Problema Bovinum', Euler's polygon division, and Newton's exponential series.
- Q: Is this book a translation of another work? A: Yes, this edition is a translation of Dörrie's 'Triumph der Mathematik', specifically prepared for Dover.
- Q: Can I find historical context for the problems discussed in the book? A: Yes, the author provides historical context and discusses the personalities associated with the problems throughout the text.