More Mathematical Curiosities

A further collection of colorful models to cut out and make offering insights into mathematical concepts and including a minibook of background information and ideas.

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Author: Gerald Jenkins

Publisher: Tarquin Group

ISBN: 1899618368

Category: Juvenile Nonfiction

Page: 34

View: 381

A further collection of colorful models to cut out and make offering insights into mathematical concepts and including a minibook of background information and ideas. Models include triangular dissection nesting pyramids pop up pyramid shapes of constant width cube rainbow flower double sided magic square follow the stars flipflop parallelepideds double helix vanishing area.

Professor Stewart s Cabinet of Mathematical Curiosities

Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincaré Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer.

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Author: Ian Stewart

Publisher: Profile Books

ISBN: 9781847651280

Category: Mathematics

Page: 320

View: 460

School maths is not the interesting part. The real fun is elsewhere. Like a magpie, Ian Stewart has collected the most enlightening, entertaining and vexing 'curiosities' of maths over the years... Now, the private collection is displayed in his cabinet. There are some hidden gems of logic, geometry and probability -- like how to extract a cherry from a cocktail glass (harder than you think), a pop up dodecahedron, the real reason why you can't divide anything by zero and some tips for making money by proving the obvious. Scattered among these are keys to unlocking the mysteries of Fermat's last theorem, the Poincar Conjecture, chaos theory, and the P/NP problem for which a million dollar prize is on offer. There are beguiling secrets about familiar names like Pythagoras or prime numbers, as well as anecdotes about great mathematicians. Pull out the drawers of the Professor's cabinet and who knows what could happen...

Ecological Forecasting

The interested reader is encouraged to read further about chaotic dynamics and
their analysis in any of a number of ... While the discrete-time logistic can produce
chaotic dynamics, it has arguably led to moremathematical curiosities” than ...

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Author: Michael C. Dietze

Publisher: Princeton University Press

ISBN: 9780691160573

Category: Science

Page: 288

View: 920

An authoritative and accessible introduction to the concepts and tools needed to make ecology a more predictive science Ecologists are being asked to respond to unprecedented environmental challenges. How can they provide the best available scientific information about what will happen in the future? Ecological Forecasting is the first book to bring together the concepts and tools needed to make ecology a more predictive science. Ecological Forecasting presents a new way of doing ecology. A closer connection between data and models can help us to project our current understanding of ecological processes into new places and times. This accessible and comprehensive book covers a wealth of topics, including Bayesian calibration and the complexities of real-world data; uncertainty quantification, partitioning, propagation, and analysis; feedbacks from models to measurements; state-space models and data fusion; iterative forecasting and the forecast cycle; and decision support. Features case studies that highlight the advances and opportunities in forecasting across a range of ecological subdisciplines, such as epidemiology, fisheries, endangered species, biodiversity, and the carbon cycle Presents a probabilistic approach to prediction and iteratively updating forecasts based on new data Describes statistical and informatics tools for bringing models and data together, with emphasis on: Quantifying and partitioning uncertainties Dealing with the complexities of real-world data Feedbacks to identifying data needs, improving models, and decision support Numerous hands-on activities in R available online

Lucifer

body , Julia is one of the most in- its editor , Mr. Alan Leo , as a frontispiece
teresting She has always something to its ... and Mr. Leadbeater more
mathematical curiosities ; Intellisupplying the substance . gence , containing
papers on “ The ...

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Author:

Publisher:

ISBN: PSU:000058517277

Category: Theosophy

Page:

View: 196

How to Study as a Mathematics Major

However, even the best struggle with the demands of making the transition to
advanced mathematics. ... It is not a popular mathematics book; it is less focused
on mathematical curiosities or applications, and more focused on how to engage
 ...

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Author: Lara Alcock

Publisher: OUP Oxford

ISBN: 9780191637353

Category: Mathematics

Page: 288

View: 842

Every year, thousands of students in the USA declare mathematics as their major. Many are extremely intelligent and hardworking. However, even the best will encounter challenges, because upper-level mathematics involves not only independent study and learning from lectures, but also a fundamental shift from calculation to proof. This shift is demanding but it need not be mysterious — research has revealed many insights into the mathematical thinking required, and this book translates these into practical advice for a student audience. It covers every aspect of studying as a mathematics major, from tackling abstract intellectual challenges to interacting with professors and making good use of study time. Part 1 discusses the nature of upper-level mathematics, and explains how students can adapt and extend their existing skills in order to develop good understanding. Part 2 covers study skills as these relate to mathematics, and suggests practical approaches to learning effectively while enjoying undergraduate life. As the first mathematics-specific study guide, this friendly, practical text is essential reading for any mathematics major.

Nature

Had Father T = 2/2 • 0-9 , a result worth recording by collectors of Gerard not
sacrificed his position by aiming so much mathematical curiosities . at smart
writing - had he favoured us with more solid We hoped to find something
combative in the ...

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Author: Sir Norman Lockyer

Publisher:

ISBN: MINN:31951P01139827L

Category: Electronic journals

Page:

View: 406

Fundamentals of Modern Statistical Methods

Without these developments, some of the insights and advances from the first half
of the 19th century were doomed to remain nothing more than mathematical
curiosities. Applied researchers would never bother about these results because
 ...

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Author: Rand R. Wilcox

Publisher: Springer Science & Business Media

ISBN: 9781441955241

Category: Social Science

Page: 249

View: 874

Conventional statistical methods have a very serious flaw. They routinely miss differences among groups or associations among variables that are detected by more modern techniques, even under very small departures from normality. Hundreds of journal articles have described the reasons standard techniques can be unsatisfactory, but simple, intuitive explanations are generally unavailable. Situations arise where even highly nonsignificant results become significant when analyzed with more modern methods. Without assuming the reader has any prior training in statistics, Part I of this book describes basic statistical principles from a point of view that makes their shortcomings intuitive and easy to understand. The emphasis is on verbal and graphical descriptions of concepts. Part II describes modern methods that address the problems covered in Part I. Using data from actual studies, many examples are included to illustrate the practical problems with conventional procedures and how more modern methods can make a substantial difference in the conclusions reached in many areas of statistical research. The second edition of this book includes a number of advances and insights that have occurred since the first edition appeared. Included are new results relevant to medians, regression, measures of association, strategies for comparing dependent groups, methods for dealing with heteroscedasticity, and measures of effect size.

More Mathematical Puzzles of Sam Loyd

Second collection of amusing, thought-provoking problems and puzzles from the "Cyclopedia.

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Author: Sam Loyd

Publisher: Courier Corporation

ISBN: 9780486207094

Category: Games

Page: 177

View: 192

Second collection of amusing, thought-provoking problems and puzzles from the "Cyclopedia." Arithmetic, algebra, speed and distance problems, game theory, counter and sliding block problems, similar topics. 166 problems. 150 original drawings, diagrams.

The American Educational Monthly

... so the pupils after all accomplish a great deal . The attention given to arithmetic
, and especially to higher mathematics , is regarded by the writer in the School as
excessive . These “ mathematical curiosities ” are valuable : training is of more ...

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Author:

Publisher:

ISBN: UCAL:B3033914

Category: Education

Page:

View: 129

Mathematical Puzzles and Curiosities

Even then, some scientific PhD programs are so constrained they are nothing
more than a passable permu— tation of the research department's existing ideas,
accepted for publication in journals by devotees to the established order. There is
 ...

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Author: Barry R. Clarke

Publisher: Courier Corporation

ISBN: 9780486315720

Category: Mathematics

Page: 160

View: 121

Intriguing collection features recreational math, logic, and creativity puzzles. Classic and new puzzles include The Monty Hall Problem, The Unexpected Hanging, The Shakespeare Puzzles, and Finger Multiplication.

The Joy of Mathematics

There are many uses of algebra that can explain many mathematical curiosities,
which simply bewonder the uninformed. For example, most teachers will show
their students how to look at a number and determine if it is divisible by 3, but
they ...

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Author: Alfred S. Posamentier

Publisher: Prometheus Books

ISBN: 9781633882980

Category: Mathematics

Page: 319

View: 756

Wouldn't it be great if all school teachers (from kindergarten through high school) would share the joy of mathematics with their students, rather than focus only on the prescribed curriculum that will subsequently be tested? This book reveals some of the wonders of mathematics that are often missing from classrooms. Here's your chance to catch up with the math gems you may have missed. Using jargon-free language and many illustrations, the authors--all veteran math educators--explore five areas--arithmetic, algebra, geometry, probability, and the ways in which mathematics can reinforce common sense. Among other things, you'll learn "the rule of 72," which enables you to quickly determine how long it will take your bank account to double its value at a specific interest rate. Other handy techniques include an automatic algorithm for multiplying numbers mentally and a clever application that will allow you to convert from miles to kilometers (or the reverse) mentally. A delightful presentation of geometric novelties reveals relationships that could have made your study of geometry more fun and enlightening. In the area of probability there is a host of interesting examples: from the famous Monty-Hall problem to the counterintuitive probability of two people having the same birthday in a crowded room. Finally, the authors demonstrate how math will make you a better thinker by improving your organizing abilities and providing useful and surprising solutions to common mathematics problems. You'll come away with an appreciation for math you never thought possible and a true appreciation for this "queen of the sciences."

The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R A Newing

More generally than the spatial models to which we have already made
reference, topological models consider alternatives to be points in some
continuous (manifold embedded in Euclidean) ... These are more than
mathematical curiosities.

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Author: Iain S. McLean

Publisher: Springer Science & Business Media

ISBN: 9789401148603

Category: Political Science

Page: 457

View: 146

R. H. Coase Duncan Black was a close and dear friend. A man of great simplicity, un worldly, modest, diffident, with no pretensions, he was devoted to scholarship. In his single-minded search for the truth, he is an example to us all. Black's first degree at the University of Glasgow was in mathematics and physics. Mathematics as taught at Glasgow seems to have been designed for engineers and did not excite him and he switched to economics, which he found more congenial. But it was not in a lecture in economics but in one on politics that he found his star. One lecturer, A. K. White, discussed the possibility of constructing a pure science of politics. This question caught his imagination, perhaps because of his earlier training in physics, and it came to absorb his thoughts for the rest of his life. But almost certainly nothing would have come of it were it not for his appointment to the newly formed Dundee School of Economics where the rest of the. teaching staff came from the London School of Economics. At Glasgow, economics, as in the time of Adam Smith, was linked with moral philosophy. At Dundee, Black was introduced to the analytical x The Theory o/Committees and Elections approach dominant at the London School of Economics. This gave him the approach he used in his attempt to construct a pure science of politics.

The American Mathematical Monthly

The third discussion is a plea for the more general use of the history of
mathematics in connection with secondary and ... The “ heats of dilution ” of a
solution are mathematical curiosities , in that these quantities are defined with
reference to ...

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Author:

Publisher:

ISBN: STANFORD:36105000828132

Category: Mathematicians

Page:

View: 553

Includes section "Recent publications."

Mathematics for Engineers I

... discovery of these pathological functions was important in that it made
mathematicians distrustful of their geometric intuition and more relaid at on
precise mathematical proof. However, these functions remained only
mathematical curiosities ...

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Author: Gerd Baumann

Publisher: Oldenbourg Verlag

ISBN: 9783486598469

Category: Mathematics

Page: 402

View: 806

"Mathematics for Engineers I" gehört zu einer vierbändigen Reihe und gibt eine Einführung in die Mathematik für Undergraduates, die ein Bachelor-Studium im Bereich Ingenieurwissenschaften aufgenommen haben. In Band I sind die Grundzüge des klassischen Calculus dargestellt. Die Reihe unterscheidet sich von traditionellen Texten dadurch, dass sie interaktiv ist und mit Hilfe des Computer-Algebra-Systems Mathematica die Berechnungen darstellt.

The Massachusetts Teacher

THE FIGURE NINE A MATHEMATICAL CURIOSITY . The properties of the figure
9 ... One more . Let the digits as written be 123456789 987654321 1111111110
and we have 9 ones and of course 9 once more . Or subtract the upper series of ...

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Author:

Publisher:

ISBN: UOM:39015014702149

Category: Education

Page:

View: 204

Curiosities of Industry

Three degrees of mathematical talent were determined — one possessed only by
analysts of the highest order , a second possessed by average mathematicians ,
and a third which involved nothing more than the commonest rules of arithmetic ...

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Author: George Dodd

Publisher:

ISBN: NYPL:33433087550822

Category:

Page:

View: 299

The Joy of X

A Guided Tour of Mathematics, from One to Infinity Steven Strogatz ... edited by W
. Frucht (Wiley, 1999), and I. Stewart, Professor Stewart's Cabinet of Mathematical
Curiosities (Basic Books, 2009). ... 0 and 9, we didn't have to worry about this
annoyance. infinity beyond infinity: For a more mathematical but still very
readable ...

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Author: Steven Strogatz

Publisher: Atlantic Books Ltd

ISBN: 9780857898456

Category: Mathematics

Page: 300

View: 337

Award-winning Steven Strogatz, one of the foremost popularisers of maths, has written a witty and fascinating account of maths' most compelling ideas and how, so often, they are an integral part of everyday life. Maths is everywhere, often where we don't even realise. Award-winning professor Steven Strogatz acts as our guide as he takes us on a tour of numbers that - unbeknownst to the unitiated - connect pop culture, literature, art, philosophy, current affairs, business and even every day life. In The Joy of X, Strogatz explains the great ideas of maths - from negative numbers to calculus, fat tails to infinity - with clarity, wit and insight. He is the maths teacher you never had and this book is perfect for the smart and curious, the expert and the beginner.

The Curiosities of Industry and the Applied Sciences

Three degrees of mathematical talent were determined — one possessed only by
analysts of the highest order , a second possessed by average mathematicians ,
and a third which involved nothing more than the commonest rules of arithmetic ...

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Author: George Dodd

Publisher:

ISBN: WISC:89008415135

Category: Industrial arts

Page: 384

View: 575

The World s Encyclopedia of Wonders and Curiosities

Containing a Full and Authentic Description of the Most Remarkable and
Astonishing Places, Beings, Animals, Customs ... Application has been made to a
gentleman of science , well known for his mathematical abilities , who has
consented to ...

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Author: John Platts

Publisher:

ISBN: IOWA:31858048316164

Category: Encyclopedias and dictionaries

Page: 958

View: 771

Dodd s Curiosities of Industry

Three degrees of mathematical talent were determined - one possessed only by
analysts of the highest order , a second possessed by average mathematicians ,
and a third which involved nothing more than the commonest rules of arithmetic .

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Author:

Publisher:

ISBN: DMM:057002856209

Category:

Page:

View: 733