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1. Conjectures and Refutations: The Growth of Scientific Knowledge (Routledge Classics) by Karl Popper | |
Paperback: 608
Pages
(2002-08-09)
list price: US$20.95 -- used & new: US$12.91 (price subject to change: see help) Asin: 0415285941 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (11)
A luminous beacon: Karl Popper's non-authoritarian system of knowledge
A must read
My conjecture on this book
Conjectures and Refutations
How do we know what we know? We don't, we only guess... |
2. Conjectures of a Guilty Bystander by Thomas Merton | |
Paperback: 384
Pages
(1968-02-09)
list price: US$15.99 -- used & new: US$8.99 (price subject to change: see help) Asin: 0385010184 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (10)
Not the place to start
Conjectures
Important Reflections in a greedy, Apathetic, and a Violent Age
Mature Merton
Monk Shares Insights with a Busy and Violent World |
3. The Poincare Conjecture: In Search of the Shape of the Universe by Donal O'Shea | |
Paperback: 304
Pages
(2007-12-26)
list price: US$15.95 -- used & new: US$4.98 (price subject to change: see help) Asin: B001PTG4IC Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description “O'Shea tells the fascinating story of this mathematical mystery and its solution by the eccentric Mr. Perelman.”—Wall Street Journal In 1904, Henri Poincaré, a giant among mathematicians who transformed the fledging area of topology into a powerful field essential to all mathematics and physics, posed the Poincaré conjecture, a tantalizing puzzle that speaks to the possible shape of the universe. For more than a century, the conjecture resisted attempts to prove or disprove it. As Donal O’Shea reveals in his elegant narrative, Poincaré’s conjecture opens a door to the history of geometry, from the Pythagoreans of ancient Greece to the celebrated geniuses of the nineteenth-century German academy and, ultimately, to a fascinating array of personalities—Poincaré and Bernhard Riemann, William Thurston and Richard Hamilton, and the eccentric genius who appears to have solved it, Grigory Perelman. The solution seems certain to open up new corners of the mathematical universe. Customer Reviews (25)
Great book for mathematically inclined readers
Poincare's Conjecture brought to light
Wonderful popular math
The Poincare Conjecture
The Kindle edition illustrations need work |
4. Uncle Petros and Goldbach's Conjecture: A Novel of Mathematical Obsession by Apostolos Doxiadis | |
Paperback: 220
Pages
(2001-02-03)
list price: US$14.00 -- used & new: US$1.85 (price subject to change: see help) Asin: 1582341281 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description In the tradition of Fermat's Last Theorem and Einstein's Dreams, a novel about mathematical obsession. Petros Papachristos devotes the early part of his life trying to prove one of the greatest mathematical challenges of all time: Goldbach's Conjecture, the deceptively simple claim that every even number greater than two is the sum of two primes. Against a tableau of famous historical figures-among them G.H. Hardy, the self-taught Indian genius Srinivasa Ramanujan, and a young Kurt Godel-Petros works furiously to prove the notoriously difficult conjecture. Decades later, his ambitious young nephew drives the defeated mathematician back into the hunt to prove Goldbach's Conjecture. . . but at the cost of the old man's sanity, and perhaps even his life. 'Your Uncle Petros cast pearls before swine; he took something holy andsacred and great, and shamelessly defiled it!' ... 'His gift, ofcourse!' ... 'The great, unique gift that God had blessed him with, hisphenomenal, unprecedented, mathematical talent! The miserable fool wastedit; he squandered it and threw it out with the garbage. Can you imagine it?The ungrateful bastard never did one day's useful work in mathematics.Never! Nothing! Zero!'Needless to say, such apoplexy only provokes the boy's curiosity, and whathe eventually discovers is a story of obsession and frustration, of UnclePetros's attempts at finding a proof for one of mathematics' greatenigmas--Goldbach's Conjecture. The innumerate may initially find this undramatic material for a novel.Yet Doxiadis offers up a beautifully imagined narrative, which reveals ararefied world of the intellect that few people will ever enter, in whichnumbers are entirely animate entities, each possessed of "a distinctpersonality." Without ever alienating the reader, he demonstrates theenchantments of this art as well as the ambition, envy, and search for glorythat permeate its apostles. Balancing the narrator's own awkward move intoadulthood with the painful memories of his brilliant relative, Doxiadisshows how seductive the world of numbers can be, and how cruel a mistress."A mathematician is born, not made," Petros declares--an inheritance thatproves both a curse and a gift. --Burhan Tufail Customer Reviews (26)
Read it before starting your PhD
well done novel that serves as light and entertaining reading about a mathematical mind obsessed with an unsolved math problem
I dont like this book
A charming small novel
fun read for the mathematicallly curious |
5. Ricci Flow and the Poincare Conjecture (Clay Mathematics Monographs) by John Morgan, Gang Tian | |
Hardcover: 521
Pages
(2007-08-14)
list price: US$69.00 -- used & new: US$46.57 (price subject to change: see help) Asin: 0821843281 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (1)
A proof of the Poincare conjecture? |
6. Ladies: A Conjecture of Personalities by Feather Schwartz Foster | |
Paperback: 255
Pages
(2003-08-05)
list price: US$27.95 -- used & new: US$14.30 (price subject to change: see help) Asin: 1592863612 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (14)
A Delightful Story of the First Ladies of the Land
History Through The Eyes ofWomen History Forgot
Ladies: A Conjecture of Personalities, Wit & Wisdom
If they only knew...
Delightful compilation of what |
7. Mathematical Reasoning: Patterns, Problems, Conjectures, and Proofs by Raymond Nickerson | |
Hardcover: 595
Pages
(2009-12-23)
list price: US$69.95 -- used & new: US$52.25 (price subject to change: see help) Asin: 1848728271 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The development of mathematical competence -- both by humans as a species over millennia and by individuals over their lifetimes -- is a fascinating aspect of human cognition. This book explores when and why the rudiments of mathematical capability first appeared among human beings, what its fundamental concepts are, and how and why it has grown into the richly branching complex of specialties that it is today. It discusses whether the ‘truths’ of mathematics are discoveries or inventions, and what prompts the emergence of concepts that appear to be descriptive of nothing in human experience. Also covered is the role of esthetics in mathematics: What exactly are mathematicians seeing when they describe a mathematical entity as ‘beautiful’? There is discussion of whether mathematical disability is distinguishable from a general cognitive deficit and whether the potential for mathematical reasoning is best developed through instruction. This volume is unique in the vast range of psychological questions it covers, as revealed in the work habits and products of numerous mathematicians. It provides fascinating reading for researchers and students with an interest in cognition in general and mathematical cognition in particular. Instructors of mathematics will also find the book’s insights illuminating. |
8. Intellectual Life and the American South, 1810-1860: An Abridged Edition of Conjectures of Order by Michael O'Brien | |
Hardcover: 400
Pages
(2010-06-01)
list price: US$39.95 -- used & new: US$31.06 (price subject to change: see help) Asin: 0807834009 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
9. The Science of Conjecture: Evidence and Probability before Pascal by James Franklin | |
Paperback: 512
Pages
(2002-07-23)
list price: US$25.00 -- used & new: US$1.31 (price subject to change: see help) Asin: 0801871093 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The Science of Conjecture provides a history of rational methods of dealing withuncertainty. Everyone can take a rough account of risk, Franklin argues, but understanding theprinciples of probability and using them to improve performance poses serious problems, thesolution to which we have only learned over many generations and after much trial and error.This study explores the coming to consciousness of the human understanding of risk. Customer Reviews (4)
Brilliant and Dazzling
Extraordinarily lucid account of abstruse subjects
The science of common sense.
A great read on the development of our modern thinking |
10. A Survey of the Hodge Conjecture (Crm Monograph Series) by James D. Lewis | |
Hardcover: 368
Pages
(1999-04-23)
list price: US$87.00 -- used & new: US$82.00 (price subject to change: see help) Asin: 0821805681 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description |
11. Proofs and Confirmations: The Story of the Alternating-Sign Matrix Conjecture (Spectrum) by David M. Bressoud | |
Paperback: 274
Pages
(1999-08-13)
list price: US$29.95 -- used & new: US$22.50 (price subject to change: see help) Asin: 0521666465 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (3)
Fantastic!
Amazing book on how mathematical research is actually done
Massterpiece of Mathematical Exposition |
12. Kepler's Conjecture: How Some of the Greatest Minds in History Helped Solve One of the Oldest Math Problems in the World by George G. Szpiro | |
Hardcover: 272
Pages
(2003-01-17)
list price: US$24.95 -- used & new: US$22.95 (price subject to change: see help) Asin: 0471086010 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description "No book in recent decades conveys more forcefully and beautifully the excitement of mathematical exploration than Dr. Szpiro’s work." "A gripping and intelligent account of the solution of one of the great problems of mathematics–older than Fermat, and just as baffling. Kepler’s Conjecture offers the nonspecialist genuine insights into the minds of research mathematicians when they are grappling with big, important questions. I enjoyed the book immensely." Sir Walter Raleigh simply wanted to know the best and most efficient way to pack cannonballs in the hold of his ship. In 1611, German astronomer Johannes Kepler responded with the obvious answer: by piling them up the same way that grocers stack oranges or melons. For the next four centuries, Kepler’s conjecture became the figurative loose cannon in the mathematical world as some of the greatest intellects in history set out to prove his theory. Kepler’s Conjecture provides a mesmerizing account of this 400-year quest for an answer that would satisfy even the most skeptical mathematical minds. Customer Reviews (7)
It all started with "stacking cannonballs"
Disappointing
Very good but needed (more) proofreading.
Suboptimal packing
fascinating |
13. The Smith conjecture, Volume 112 (Pure and Applied Mathematics) | |
Hardcover: 243
Pages
(1984-06-11)
list price: US$117.00 Isbn: 0125069804 Canada | United Kingdom | Germany | France | Japan | |
14. Proof, Logic, and Conjecture: The Mathematician's Toolbox by Robert S. Wolf | |
Hardcover: 421
Pages
(1998-12-15)
-- used & new: US$84.85 (price subject to change: see help) Asin: 0716730502 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (7)
The Only Book of Its Kind
This BOOK SUCKS!!
I Wish this had been out when I was a student! I would have preferred more discussion of boolean algebra and lattices, but that is an idiosyncrasy of mine. I also wish that it would include the killer explanation of bi-in-sur-jection, and of into/onto maps that I have sought for decades. (The best of the extant lot is in Kolmogorov & Fomin). This description should also include iso-mono-anti-tone. I am not competent to judge the freedom from mathematical error.
Review by a professor of math and computer science The first four chapters of the book are devoted to logic and proofs;the next three to sets and functions; and the last three to number systems. Everything that should be in such a book is included:propositional and predicate logic, proof by induction,Russell's paradox, functions as sets of ordered pairs, the concept of cardinality;examples of rings and fields, the completeness axiom for the real numbers;complex numbers as pairs of real numbers. Dr. Wolf has brought to this book a lively wit, twenty years of teaching experience with the target audience, and the acumen and scholarship of a highly-trained mathematician and logician.The book thus entertains and educates, without sacrificing accuracy or precision. The twenty years of experience, for example, is highly visible in the section on "Hints for Finding Proofs". The scholarship is visible in the "Suggestions for Further Reading" at the end of each chapter. The wit is visible in the examples. The scholarship and experience are both visible in the selection of exercises. The subjects of proofs and their logical foundations have challenged the minds of some of the world's deepest thinkers.Both the difficulties of the subject, and its beauties,are extraordinary. This book will help the reader to appreciate the beauties and overcome the difficulties.
This book is extremely confusing The truth tables were helpful, but the "or" table needed more explanation from the beginning. 2.1 ex 5d: it's confusing to students to have "trick questions" when learning a concept for the first time."Tricks" should either be saved for more advanced students or not used at all.The many incorrect statements, proofs and such throughout the book violate the "never write down the wrong way to do something rule".It was extrememly confusing.The defininitions for converse etc. were clear until ex2 p. 29 where I got completely lost.Tautologies were helpful. E.S., E.G., U.S., and U.G. were only muddying up the waters and since other texts don't use them, they seemed pointless.Ways to use/prove tables were helpful.Induction was very confusing to start with, especially when using summations, but then seemed to clear itself up in later sections. Get rid of Naive Set Theory.It's wrong and beginning set theory students are only misled by being shown the wrong way first!The union of the power set section needs a clear example as to what the union of a power set is! I'm not sure that beginning students are ready to critique quite so many proofs, especially the "borderline" ones. Figure 7.11 is completely lost any effect on me.I don't understand it at all. A glossary in the back of the text would also be useful. ... Read more |
15. Catalan's Conjecture (Universitext) by René Schoof | |
Paperback: 124
Pages
(2008-11-13)
list price: US$49.95 -- used & new: US$32.99 (price subject to change: see help) Asin: 1848001843 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Eugène Charles Catalan made his famous conjecture – that 8 and 9 are the only two consecutive perfect powers of natural numbers – in 1844 in a letter to the editor of Crelle’s mathematical journal. One hundred and fifty-eight years later, Preda Mihailescu proved it. Catalan’s Conjecture presents this spectacular result in a way that is accessible to the advanced undergraduate. The first few sections of the book require little more than a basic mathematical background and some knowledge of elementary number theory, while later sections involve Galois theory, algebraic number theory and a small amount of commutative algebra. The prerequisites, such as the basic facts from the arithmetic of cyclotomic fields, are all discussed within the text. The author dissects both Mihailescu’s proof and the earlier work it made use of, taking great care to select streamlined and transparent versions of the arguments and to keep the text self-contained. Only in the proof of Thaine’s theorem is a little class field theory used; it is hoped that this application will motivate the interested reader to study the theory further. Beautifully clear and concise, this book will appeal not only to specialists in number theory but to anyone interested in seeing the application of the ideas of algebraic number theory to a famous mathematical problem. |
16. Conjectures and refutations in syntax and semantics (Studies in linguistic analysis) by Michael K Brame | |
Hardcover: 160
Pages
(1976)
Isbn: 0444001859 Canada | United Kingdom | Germany | France | Japan | |
17. The Local Langlands Conjecture for GL(2) (Grundlehren der mathematischen Wissenschaften) by Colin J. Bushnell, Guy Henniart | |
Paperback: 354
Pages
(2010-11-02)
list price: US$125.00 -- used & new: US$125.00 (price subject to change: see help) Asin: 3642068537 Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields. |
18. The Goldbach Conjecture (2nd Edition) | |
Hardcover: 344
Pages
(2003-01)
list price: US$120.00 -- used & new: US$134.99 (price subject to change: see help) Asin: 9812381597 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Customer Reviews (2)
Very good book
Absolutely the best book on this subject |
19. The Last Three Minutes: Conjectures About The Ultimate Fate Of The Universe (Science Masters Series) by Paul Davies | |
Paperback: 176
Pages
(1997-01-09)
list price: US$14.95 -- used & new: US$3.88 (price subject to change: see help) Asin: 0465038514 Average Customer Review: Canada | United Kingdom | Germany | France | Japan | |
Editorial Review Product Description Written in clear language that makes the cutting-edge science of quarks, neutrinos, wormholes, and metaverses accessible to the layman, The Last Three Minutes treats readers to a wide range of conjectures about the ultimate fate of the universe. Along the way, it takes the occasional divergent path to discuss some slightly less cataclysmic topics such as galactic colonization, what would happen if the Earth were struck by the comet Swift-Tuttle (a distinct possibility), the effects of falling in a black hole, and how to create a "baby universe." Wonderfully morbid to the core, this is one of the most original science books to come along in years. Customer Reviews (16)
An understandable explanation of what the fate of the universe will likely be
Escape from Yourself and Join the Stars
The human end and not so much the universe's
Mind Expanding... (or is it contracting?)
A bit dry in the middle.. |
20. Taser Electronic Control Devices and Sudden In-custody Death: Separating Evidence from Conjecture by Howard E. Williams | |
Paperback: 212
Pages
(2008-05-16)
list price: US$39.95 -- used & new: US$39.95 (price subject to change: see help) Asin: 0398077762 Canada | United Kingdom | Germany | France | Japan | |
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