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Number Theory and the Periodicity of Matter 2008th Edition

4.7 out of 5 stars 3 customer reviews
ISBN-13: 978-1402066597
ISBN-10: 1402066597
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Editorial Reviews


From the reviews:

"The book launch was held at the University of Pretoria (UP) on 26 March 2008. … It’s a fascinating and original concept and I hope you all get the opportunity to read it. It will challenge your current views of numbers. … If there is a link between numbers and the Periodic Table this will of course have major implications as to the ‘meaning’ on the Periodic Table. It’s great to have original thinkers in our midst!" (South African Chemical Institute Newsletter, Issue 3, 2008)

"Some people believe that there exist links between the natural numbers and the physical world. This … book looks for such links in what the authors call ‘the periodicity of matter.’ Readers with an interest in mathematics, science, or natural philosophy will find the book useful … . it is aimed at researchers working on various branches of physics who might find it interesting to find related ideas in number theory. … can be of interest to mathematicians, physicists and chemists." (Soheila Emamyari and Mehdi Hassani, MathDL, May, 2008)

"This remarkable book will be found interesting by scholars whose expertise lies in one or more of the following disciplines: philosophy, applied mathematics, theoretical, nuclear, and elementary particle physics, as well as physical, theoretical, and mathematical chemistry. … the book Number Theory and the Periodicity of Matter is an exciting and nonstandard feat in the study of Nature. … is recommended to the readers of MATCH Communications in Mathematical and in Computer Chemistry. Yet, its the main readers should be nuclear physicists." (Ivan Gutman, MATCH Communications in Mathematical and in Computer Chemistry, Vol. 60, 2008)

"The authors discuss connections between number and matter and write about primes and the golden ratio somehow underlying nuclear physics. This book learnedly summarizes much scientific knowledge and history (mathematics, chemical physics, nuclear physics, cosmology), and may thus serve some readers independently of its main project. Summing Up: Recommended. Upper-division undergraduates and up." (D. V. Feldman, Choice, Vol. 46 (2), October, 2008)

"This is a book of special interest for particle physicists and chemists. … this is a recommendable and interesting book." (H. Zimmermann, Crystallography Reviews, May, 2009)

"The current volume has been written for readers at diverse levels of scientific and mathematical education as well as an exceptionally wide range of interests in natural phenomena. … the current book a valuable contribution to one’s library." (Joel F. Liebman, Molecular Crystals and Liquid Crystals, Vol. 503, June, 2009)

From the Back Cover

Philosophers have long speculated that a link exists between natural numbers and the physical world...

"...all is number"

John Dalton (1803):
"...Atoms combine in simple numerical ratios..."

Prout’s hypothesis, published anonymously in 1815:
"...the elements are different aggregates of the atoms of primordial hydrogen..."

Alexandre Émile Beguyer de Chancourtois (1862):
"...the properties of the elements are the properties of numbers..."

William Harkins (1921):
"...the ratio Z/(A - Z) never exceeds the value 0.62 in atomic species..."

Within this book, readers with an interest in mathematics, science or natural philosophy will find this expectation addressed...


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Product Details

  • Hardcover: 374 pages
  • Publisher: Springer; 2008 edition (January 28, 2008)
  • Language: English
  • ISBN-10: 1402066597
  • ISBN-13: 978-1402066597
  • Product Dimensions: 6.1 x 0.9 x 9.2 inches
  • Shipping Weight: 1.8 pounds (View shipping rates and policies)
  • Average Customer Review: 4.7 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #3,069,709 in Books (See Top 100 in Books)

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Format: Hardcover
Excerpt: Of all the great innovations and intellectual achievements of mankind there is nothing that rivals the invention of counting and discovery of the number system. The way in which this discovery led to the development of abstract higher mathematics is the least of its merits, compared to the universal fascination that the natural numbers hold for all people. Numbers are at the roots of magic, superstition, religion and science. Numerologists can interpret great historical and cosmic events, predict the future and explain human nature. Better informed, sophisticated people may frown upon and ridicule such claims, but the number of incidents that link numbers to physical effects is simply too large to ignore as mere coincidence. It is in cases like these that the more respectable number theory is substituted for numerology.
Although it is recognized as the most fundamental branch of mathematics, the vocabulary of number theory includes concepts such as prime number, perfect number, amicable number, square number, triangular number, pyramidal number, and even magic number, none of which sounds too scientific and may suggest a different status for the subject. Not surprisingly, number theory remains the pastime of amateurs and professionals alike -- all the way from the great Gauss down. It may be claimed that abstract number theory is loftier than mundane science, never to be degraded into a servant of physical theory. Even so, a constant stream of books rolls from the printing presses of the world, extolling the wonderful synergy that exists between Fibonacci numbers, the golden ratio and self-similar symmetry on the one hand, with works of art (e.g. Da Vinci), architecture (Parthenon), biological growth, classical music and cosmic structure, on the other.
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Format: Hardcover
Some years ago the German doctor of chemistry Peter Plichta published a revolutionary theory in which he is claiming matter and energy to be encoded in numbers. Because the style of Plichta_s writings, see God's Secret Formula: The Deciphering of the Riddle of the Universe and the Prime Number Code, was not always appropriate for scientific argumentation, he could not overcome the initial resistance to his ideas and was seen by the multitude as a mere crank. It was even not advisable to refer to Plichta in a serious scientific paper

Therefore, this book by Jan Boeyens, one of the leading professors of theoretical chemistry, and his coauthor is an extraordinary event, indeed the Newest Kind of Science, see also Chemistry from First Principles. We can be sure that in some years any student of chemistry and physics will be confronted with this new way of thinking, rooted in Plichta's original idea of the prime number cross.
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Format: Paperback
The book is written at an upper graduate level of physics/chemistry. Profusely illustrated with tables, figures, equations. 4 out of 5 stars because many of the cited figures and tables in the text don't correspond to the numbered referents. Quite possibly a table or figure was later added to or deleted from an earlier chapter, and the text in later chapters wasn't revised to reflect the changed numerical sequence of the figures/tables. The correct figure/table could be easily found since it was within 1 or 2 figures/tables. For example, the text refers to Figure 2.14, but given the content of the discussion, Figure 2.15 was intended. A strange comedy of errors in book about number theory! The content of the book is astounding, and unfortunately beyond most of my comprehension. Still for a non-physicist/chemist, it was worth the "read." Most of the main points are made in the Intro and first chapter. A familiarity with the language of the periodic table of elements and particle physics is probably a prerequisite. I'd recommend first reading one or two of several books on the Periodic Table (I liked Eric Scerri's "The Periodic Table: Its Story and Its Significance"), and Bruce Schumm's "Deep Down Things: The Breathtaking Beauty of Particle Physics." I thought it would help me to map out the orbital filling of the entire long hand periodic table, but was thoroughly confused by the 4 periodic tables on page 214: Observed, Idealized, Inverted, and idealized:Inverted. I couldn't get correspondence between the standard orbital filling sequence and the authors' sequence. So, I got lost in the details, but the big picture comes through. The fractal nature of the golden ratio from the quantum to the cosmic scale is breath-taking. This book would make a wonderful read for a physicists' book club. I wish I had the background to follow its detailed arguments.
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Number Theory and the Periodicity of Matter
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