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100 Great Problems of Elementary Mathematics"The collection, drawn from arithmetic, algebra, pure and algebraic geometry and astronomy, is extraordinarily interesting and attractive." Mathematical Gazette This 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,
"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 Fermat-Euler 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 D rrie's "Triumph der Mathematik" to the English-language audience for the first time.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/01/1965
ISBN: 9780486613482
Pages: 416
Weight: 0.93lbs
Size: 8.50h x 5.44w x 0.78d
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4.8 ★★★★★
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Product Reviews
★★★★★ 4
Decent if not a little shallow overview but full of typos
Format: Hardcover
Purchased thos book to consider passing to an employee eyeing a promotion. The information is ok to get the broad level concepts across for someone who has no thought about these concepts at all.
However. Man. This book is riddled with more typos than my 2am half drunk reddit posts. Words that are missing spaces between them, phrases that change tense or intent of where the sentence was going to go ... It's pretty drole reading in general and the distractions do not help!
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Reviewed in the United States on January 28, 2024
★★★★★ 5
Great book
Format: Paperback
Very great book. Came quicker than expected. Very great condition!!
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Reviewed in the United States on February 20, 2023
★★★★★ 5
One of the best Project Management Books I've Read!
Format: Kindle
This was a really great read for many reasons. The focus on ensuring your project has a strategic purpose is so important these days, where Program and Project Managers need to make sure the projects they are leading are providing value to the organization. The framework is one that can be applied immediately with the explanation and tools provided in the book and on the author's website. The real-life stories and projects were not only fun to read, but very helpful in understanding how to apply the framework. The examples were very thorough and helpful. There is great information on what is needed from a PM to be successful including managing the team and stakeholders.
On top of all that, when I got to Chapter 10 it was like a bonus chapter for me. Chapter 10's focus is on "managing your inner game", and has great information on ensuring you have the right mindset to be successful. Project Managers have the opportunity (and challenge) to work with many different personalities and in many challenging environments. This chapter provides really great information on how to navigate those waters and be successful. Chapter 10 could seriously be a book in itself.
Chapter 12 was yet another bonus chapter, especially for lifelong learners. It's all about the idea of taking everything we've learned and applying it to our life. As the author states, our lives are essentially a project. Why not apply the same principles to ensure we are achieving our purpose and providing value, with yet again, really great examples to get us started.
Anyone who leads or is involved in any kind of projects or who wants to work better in a team environment would benefit from reading this book.
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Reviewed in the United States on May 5, 2021
★★★★★ 5
Strategic Management Made Simple and Effective
Format: Hardcover
I told Terry Schmidt that would be a better title for his book, “Strategic Management Made Simple and Effective”.
The time-tested Logical Framework Approach (LFA) that Terry champions goes far beyond project management. With its exploratory LogFrame matrix leading from inputs to outcomes, outcomes to purpose, and purpose to goal, the LFA forces you to understand the reason for the project. Projects are not executed for their own reason but to achieve something specific. The LogFrame traverses the ladder from inputs to goal through objectives with success measures, ways to verify success, and assumptions that must hold true be successful.
Terry adds his own concept -- that he calls the Implementation Equation™ -- to help you build the LogFrame: IF inputs AND valid assumptions, THEN outcomes / IF outcomes AND valid assumptions, THEN purpose / IF purpose AND valid assumptions, THEN goal.
This methodology offers you a way to view the LogFrame with multiple perspectives: scientific method, strategic planning, project management, risk management, management by objectives, and, although he does not mention it, also quality management.
In particular, his use of assumptions has helped me to redefine my view of risk management. Rather than brainstorm a large list of possible risks in a registry that becomes impossible to manage, I use the probability that the assumptions needed for success are not valid – and their impact on achieving success, as the true risks that must be actively managed.
A highly entertaining as well as informative book, “Strategic Project Management Made Simple”, or whatever you choose to call it, should be the first guide you reach for when building a portfolio, creating programs or products, or starting a project.
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Reviewed in the United States on November 5, 2021
★★★★★ 5
Easy to Learn Concepts & Great Read
Format: Hardcover
This book is perfect for those curious problem solvers looking to solve simple and complex situations with achievable solutions. The additional resources that come with the book are incredibly helpful in reviewing the multitude of case studies shared. Further, the author provides easy to follow guidance on how to apply the log frame to any situation and shares common pitfalls to avoid. Anyone looking to better understand and implement strategic project planning easily, buy this book!
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Reviewed in the United States on June 27, 2023
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