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At Last!!: Encoded Totals Second Addition [Paperback]

Steven Kahan (Author)
4.0 out of 5 stars  See all reviews (1 customer review)

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Book Description

July 1994 089503171X 978-0895031716
How long have you been thirsting for tempting, tantalizing teasers, craving for challenging cryptographic conundrums? Well, thirst and crave no longer! Steven Kahan's At Last!! Encoded Totals Second Addition, the long-awaited sequel to Have Some Sums to Solve, will satiate the desires of even the most prolific puzzle enthusiast.

Here is another opportunity to embark upon an exciting excursion through some virtually uncharted terrain in the realm of puzzledom. The author, a renowned authority in the field, proudly presents a second stellar collection of alphametics to challenge his readers. Each is a thought-provoking decoding problem requiring the solver to replace letters of the alphabet with appropriate digits so that the resulting numerical version becomes a valid addition example.

The action commences before the book is ever opened, as the very first alphametic appears as part of the colorful cover design. Once inside, you will encounter the author's dedication, itself phrased alphametically, along with some words of praise from Martin Gardner in the foreword. The preface includes a list of ten helpful hints to aid in the general decoding procedure. Forty new additive alphametics are found in Section 1, and these fall into two categories--ideal, doubly-true type and the narrative type. In the former, all ten digits appear in the solution, and a mathematically valid addition example results by simply reading the problem aloud (e.g., Fifteen + Fifteen + Forty = Seventy). The latter is presented within the context of some informative paragraphs or as part of a brain teaser which also must be solved. Grids are conveniently provided on facing pages for the recording of answers, and interesting integer idiosyncracies are interspersed throughout the text.

Section 2 offers a directed approach to each and every one of the problems, outlining a solution strategy without actually "spilling the beans." Actual solutions appear in Section 3, and these are randomly arranged to prevent inadvertent glances at "next answers." This third section also contains the resolutions of any queries raised in the narrative alphametics.

"Digits? Numbers?? Mathematics!!!" you exclaim with obvious trepidation, cowed by the specter of complicated calculations. Indeed, this reaction is understandable, for deciphering a mathematical problem can often be a perplexing experience. At times, the process becomes so frustrating that the perspective solver throws hands into the air and abandons the project entirely. However, the intent here is precisely the opposite. In truth, the beauty of these puzzles can be traced to the fact that success is not achieved through pure mathematical expertise, but rather through a combination of logical thought and tenacity. Be forewarned that no general process exists for solving alphametics, since each necessitates its own individual approach. Herein lies the adventure, and it is of little consequence whether you are a professional number theorist or an amateur digit shuffler. As you raise the gauntlet to explore the various avenues of attack, come well equipped with foresight and perception.


Editorial Reviews

Review

"Few can equal Kahan in the ability to devise such elegant alphametics. At Last!! Encoded Totals Second Addition is a superb collection sure to delight every alphametics buff. I suspect it will also introduce many a reader to a flourishing subset of recreational mathematics that he or she may not have known about before." -- From the foreword by Martin Gardner

Product Details

  • Paperback: 138 pages
  • Publisher: Baywood Pub Co (July 1994)
  • Language: English
  • ISBN-10: 089503171X
  • ISBN-13: 978-0895031716
  • Product Dimensions: 9 x 6 x 0.2 inches
  • Shipping Weight: 7.2 ounces (View shipping rates and policies)
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #6,075,793 in Books (See Top 100 in Books)

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6 of 6 people found the following review helpful:
4.0 out of 5 stars The second is just as good as the first, February 12, 2001
This review is from: At Last!!: Encoded Totals Second Addition (Paperback)
In his second installment of alphametics Steven Kahan once again hits the sweet spot. An alphametic is an arithmetic problem where the digits of the numbers are replaced by letters. The best problems are those where the words of the problem form a catchy phrase or they express another result. For example,

EIGHTEEN + EIGHTEEN + THREE + THREE + NINE = FIFTYONE

is an alphametic where the words also form a correct sum. Such problems are called ideal doubly-true (i.d.t.) alphametics. Sometimes, additional restrictions are necessary to guarantee a unique solution. For example, although not needed above, an additional restriction might be that EIGHTEEN is even.
These problems, many of which were first published in Journal of Recreational Mathematics, are some of the better ones you will find. As longtime editor of the alphametics column of JRM, Kahan is in a unique position to choose the best from those the readers contribute. To sweeten the mix, several interesting number facts are also included. Complete solutions to all the problems appear at the end, although you really shouldn't peek.
Alphametics are some of my favorite simple math problems. If you like basic mathematics puzzles, then I am sure that you will enjoy these.
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