Mathematical Recreations and Essays by W.W. Rouse Ball (PDF)

Description

The classic treatise of W.W. Rouse Ball on various subjects in mathematics, cryptography, time, spatial dimensions, chess, puzzles, and even astrology and the occult including: Arithmetical Fallacies, Bachet’s Weights Problem, Fermat’s Theorem on Binary Powers, Fermat’s Last Theorem, Geometrical Fallacies, Geometrical Paradoxes, Physical Geography, Statical Games of Position, Three-in-a-row. Extension to p-in-a-row, Tesselation, Cross-Fours, Dynamical Games of Position, Shunting Problems, Ferry-Boat Problems, Geodesic Problems, Problems with Counters placed in a row, Problems on a Chess-board with Counters or Pawns, Guarini’s Problem, Geometrical Puzzles (rods, strings, &c.), Some Mechanical Questions, Paradoxes on Motion, Force, Inertia, Centrifugal Force, Work, Stability of Equilibrium, &c., Perpetual Motion, Models, Sailing quicker than the Wind, Boat moved by a rope inside the boat, Results dependent on Hauksbee’s Law, Flight of Birds, Curiosa Physica, Some Miscellaneous Questions, The Fifteen Puzzle, The Tower of Hano, The Eight Queens Problem, Other Problems with Queens and Chess-pieces, The Fifteen School-Girls Problem, Problems connected with a pack of cards, Gergonne’s Pile Problem, The Mouse Trap, Treize, Magic Squares, Notes on the History of Magic Squares, Construction of Odd Magic Squares, Method of Bachet, Method of Dela Hire, Construction of Even Magic Squares, First Method, Composite Magic Squares, Bordered Magic Squares, Hyper-Magic Squares, Pan-diagonal or Nasik Squares, Magic Pencils, Magic Puzzles, Card Square, Domino Squares, Euler’s Problem, Euler’s Theorems, Examples, Mazes, Rules for completely traversing a Maze, Notes on the History of Mazes, Geometrical Trees, The Hamiltonian Game, Knight’s Path on a Chess-Board, Method of DeMontmort and DeMoivre, Method of Euler, Method of Roget, Method of Moon, Method of Jaenisch, Number of possible routes, Paths of other Chess-Pieces, Medieval Course of Studies: Acts, Tripos Verses, The Duplication of the Cube, Lemma of Hippocrates, Solutions of Archytas, Plato, Menaechmus, Apollonius, and Sporus, Solutions of Vieta, Descartes, Gregory of St Vincent, and Newton, The Trisection of an Angle, Solutions of Descartes, Newton, Clairaut, and Chasles, The Quadrature of the Circle, Theorems of Wallis and Brouncker, Mersenne’s Enunciation of the Theorem, List of known results, Cases awaiting verification, History of Investigations, By trial of divisors of known forms, By indeterminate equations, Mechanical methods of Factorizing Numbers, Astrology, Two branches: natal and horary astrology, Rules for casting and reading a horoscope, Houses and their significations, Planets and their significations, Zodiacal signs and their significations, Knowledge that rules were worthless, Notable instances of horoscopy, Lilly’s prediction of the Great Fire and Plague, Flamsteed’s guess, Cardan’s horoscope of Edward VI, Cryptographs and Ciphers, A Cryptograph, A Cipher, Essential Features of Cryptographs and Ciphers, Cryptographs of Three Types, Use of broken symbols, The Scytale, Ciphers: Use of arbitrary symbols unnecessary, Ciphers of Four Types, Requisites in a good Cipher, Cipher Machines, Historical Ciphers, Hyper-space, Speculation on Hyper-space, Space of two dimensions and of one dimension, Space of four dimensions, Existence in such a world, Arguments in favour of the existence of such a world Non-Euclidean Geometries, Elliptic Geometry of two dimensions, Elliptic, Parabolic and Hyperbolic Geometries compared Non-Euclidean Geometries of three or more dimensions, Time and its Measurement, Units for measuring durations (days, weeks, months, years), Boscovich’s Hypothesis, Hypothesis of an Elastic Solid Ether: Labile Ether, Dynamical Theories, The Vortex Ring Hypothesis, The Vortex Sponge Hypothesis, The Ether-Squirts Hypothesis, The Electron Hypothesis, Conjectures as to the cause of Gravity, and Conjectures to explain the finite number of species of Atoms.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐One of the books that I read from the library when I was a child and teenager in the late 1950s and early 1960s was WW Rouse Ball’s “Mathematical Recreations and Essays”. I learned a lot about mathematics from this book. But I have been away from my home town for many years now, and had never seen the book since then. When I saw it available on Amazon, I bought it. Much of it seemed familiar, but there were revisions made, as I see references to years in the 1980s. Also I note that HSM Coxeter is now a co-author. He’s another author from my child and teen days, especially his “Mathematical Models” book which I have. It is still a good book for learning about fun mathematical things, and I highly recommend it, and it reminds me of the old days.

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⭐this is just what I was looking for!

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⭐My favorite — N is prime if, and only if, (N – 1)! + 1 is divisible by N — ormaybe you already know that?

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⭐A classic. Challenging but fascinating. Best consumed in chunks.

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⭐More than I expected. I’ve only had time to skim thru it but as I am interested in design and how things come into being (design wise) I think that this will be a very welcome aid and addition to my library.

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⭐I bought the ebook version and the format is so bad that it is not readable.

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⭐Any fan of mathematical puzzles will go ape over this thoroughly researched, timeless classic. Even for jaded scientists in their forties (such as me) and beyond, there’s always some new gem to be discovered at the turn of a page. The scope of the book is immense, ranging from all manner of “classical” recreations to the puzzles of antiquity (e.g., squaring the circle) to the history of pi to the structure and functionality of the kaleidoscope. It’s all here!

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⭐This is a classic collection of mathematical recreations. Originally written by W.W. Rouse Ball around 1900, this edition has been updated by the great geometer H.S.M. Coxeter. It is a comprehensive first source for information about magic squares, Platonic and Archimedian solids, “Knight’s Tours” and other chessboard recreations, and just about any other variety of math-related puzzle you could name.For a mathematician, Coxeter is an excellent writer, and the book is quite accessible, even to relative math novices. Fans of Martin Gardner’s books, of his “Scientific American” Mathematical Games columns, will want to own this. And because it’s published by Dover, the price is right, too.

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⭐This is a classic work but this Kindle edition does not do it justice. I bought it for the convenience of having a Kindle edition but rapidly returned it as I concluded that it wasn’t even worth 77p. There is no useful navigation, and the even the most elementary mathematical notation is so garbled as to be incomprehensible. The free PDF version from Project Gutenberg is worlds better.

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⭐Warning – The Kindle Edition while listed with a newer edition that was updated by H.S.M. Coxeter is actually the old public domain edition available for free from the Internet Archive (as stated in the Kindle eBook itself).The best version of this book has two authors: the original author W. W. Rouse Ball and H. S. M. Coxeter who updated it. Currently the best bet is to get the latest paperback edition.

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⭐Mathematical Recreations and Essays

⭐Le format poche n’est pas idéal.Le livre est difficile à lire.Il n’est pas assez illustré.Je reste sur ma faim.

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⭐中身は良いです。さまざまな数学系のクイズやパズルは，100年も前のものとは思えない面白さです。ただ問題は，Kindle化のしかたです。おそらく，画像をOCRにかけただけで，何の手も加えていないのではないかと思われます。まず，目次が目次として扱われておらず，本文と同じです。つまり，クリックしてもそのページに飛びません。章が変わるところの改ページも無視されています。そして，至る所といっていいほど，誤字脱字だらけです。最初のページの冒頭から，いきなりPEEFACE＝しょんべん面？（汚くてすみません）ときます。数式が出てくるところなど支離滅裂で，なんのことかさっぱりわかりません。数学の本で数式が読めないというのは致命的です。ちょっとだけ本文の例を示すと，Every even number is of the form 2/1, [正しくは2n]and the successive operations applied to the give (i) 6n, which is even;(ii) J6n = 3n; [正しくはJではなくて分数で上下に書いた1/2](iii) 3x3n = 97i; [もちろん9n](iv) ・^9?2 = w; [1/9 9n = n です](v) 2n.その少し先に「Second Methodf.」とあるのは何かと思ったら，「Second Method†」というダガー印だったり。しかも，それに対応する脚注が本文の続き扱いだったり。表紙と目次の1ページ目だけは画像でしたが，残りはテキスト化されています。でもこんないい加減なテキスト化だったら，全ページ画像データにしてくれたほうが，まだ本文が読めるだけマシです。きちんとしたKindle版が出るまでは，紙の本で読みましょう。

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