Professor Povey's Perplexing Problems

Pre-University Physics and Maths Puzzles with Solutions

Author: Thomas Povey

Publisher: Oneworld Publications

ISBN: 1780747756

Category: Education

Page: 384

View: 2167

InProfessor Povey's Perplexing Problems, Thomas Povey shares 109 of his favorite problems in physics and maths. A tour de force of imagination and exposition, he guides us through uncompromisingly challenging territory that expands our minds and encourages a playful and exploratory approach to study. "The puzzles," he says, "are like toys. We should pick up the one we most enjoy, and play with it." Whether you are an aspiring scientist or an old-hand, pitting yourself against these problems will test your ability to think, and inspire you with curiosity and enthusiasm for physics. Presented with charm and wit, the questions span the gap between high-school and university-entrance standard material. Detailed answers are lightened with a fascinating and refreshing blend of scientific history, application and personal anecdote. On this delightful and idiosyncratic romp through pre-university maths and physics, the author shows us that behind every single one of these questions lies a new way of thinking about subjects we thought we had understood. He argues that engaging with the unfamiliar is key to forming deeper insights and developing intellectual independence.Professor Povey's Perplexing Problems is a manifesto that science should be playful, and a celebration of the curious.

The Oxbridge Interview Book

Perplexing Problems in Maths, Physics and Engineering, with Solutions

Author: Thomas Povey

Publisher: Oneworld Publications Limited

ISBN: 9781780746029

Category: Education

Page: 288

View: 4781

In The Oxbridge Interview Book, Thomas Povey shares 109 of his favourite problems in the mathematical sciences, guiding us through the wonderful, fascinating and quirky questions that have become synonymous with the Oxbridge interview. Whether you are an aspiring scientist or an old-hand, you can now pit yourself against these uncompromisingly challenging problems, developed—in time honoured tradition—to test an interviewee’s ability to think. Detailed answers are provided, with a refreshing blend of scientific history, application and personal anecdote. In this delightful and idiosyncratic romp through pre-university maths and physics, the author shows us that behind every single one of these questions lies a new way of thinking about subjects we felt we had understood. He argues that engaging with the unfamiliar is key to forming deeper insights and developing intellectual independence. The Oxbridge Interview Book is a manifesto that science should be playful, and that we should celebrate the curious.

Brainteaser Physics

Challenging Physics Puzzlers

Author: Göran Grimvall

Publisher: JHU Press

ISBN: 9780801885112

Category: Mathematics

Page: 162

View: 1420

Does a glass of ice water filled to the brim overflow when the ice melts? Does the energy inside a sauna increase when you heat it up? What's the best way to cool your coffee—adding the creamer first or last? These and other challenging puzzlers provide a fresh—and fun—approach to learning real physics. Presenting both classic and new problems, Brainteaser Physics challenges readers to use imagination and basic physics principles to find the answers. Göran Grimvall provides detailed and accessible explanations of the solutions, sometimes correcting the standard explanations, sometimes putting a new twist on them. He provides diagrams and equations where appropriate and ends each problem by discussing a specific concept or offering an extra challenge. With Brainteaser Physics, students and veteran physicists alike can sharpen their critical and creative thinking—and have fun at the same time.

Advanced Problems in Mathematics

Preparing for University

Author: Stephen Siklos

Publisher: Open Book Publishers

ISBN: 1783741449

Category: Mathematics

Page: 186

View: 6742

This book is intended to help students prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Papers). STEP examinations are used by Cambridge colleges as the basis for conditional offers in mathematics and sometimes in other mathematics-related subjects. They are also used by Warwick University, and many other mathematics departments recommend that their applicants practice on past papers to become accustomed to university-style mathematics. Advanced Problems in Mathematics is recommended as preparation for any undergraduate mathematics course, even for students who do not plan to take the Sixth Term Examination Paper. The questions analysed in this book are all based on recent STEP questions selected to address the syllabus for Papers I and II, which is the A-level core (i.e. C1 to C4) with a few additions. Each question is followed by a comment and a full solution. The comments direct the reader’s attention to key points and put the question in its true mathematical context. The solutions point students to the methodology required to address advanced mathematical problems critically and independently. This book is a must read for any student wishing to apply to scientific subjects at university level and for anybody interested in advanced mathematics.

200 Puzzling Physics Problems

With Hints and Solutions

Author: P. Gnädig,G. Honyek,K. F. Riley

Publisher: Cambridge University Press

ISBN: 9780521774802

Category: Science

Page: 257

View: 5328

This book contains instructive, challenging and fun physics problems for students at all levels.

Puzzles and Paradoxes

Fascinating Excursions in Recreational Mathematics

Author: T. H. O’Beirne

Publisher: Courier Dover Publications

ISBN: 0486824861

Category: Games & Activities

Page: 256

View: 5060

These marvelous, stimulating games for the mind include geometric paradoxes, cube and color arrangement puzzles, calendar paradoxes, much more. Detailed solutions prepare readers for puzzles of even greater complexity.

Problem Solving Through Recreational Mathematics

Author: Bonnie Averbach,Orin Chein

Publisher: Courier Corporation

ISBN: 0486131742

Category: Mathematics

Page: 480

View: 7705

Fascinating approach to mathematical teaching stresses use of recreational problems, puzzles, and games to teach critical thinking. Logic, number and graph theory, games of strategy, much more. Includes answers to selected problems. Free solutions manual available for download at the Dover website.

Mad about Physics

Braintwisters, Paradoxes, and Curiosities

Author: Christopher Jargodzki,Franklin Potter

Publisher: John Wiley & Sons

ISBN: 0471436984

Category: Science

Page: 320

View: 4547

Why is there eight times more ice in Antarctica than in the Arctic? Why can you warm your hands by blowing gently, and cool your hands by blowing hard? Why would a pitcher scuff a baseball?Which weighs more-a pound of feathers or a pound of iron? Let science experts Christopher Jargodzki and Franklin Potter guide you through the curiosities of physics and you'll find the answers to these and hundreds of other quirky conundrums. You'll discover why sounds carry well over water (especially in the summer), how a mouse can be levitated in a magnetic field, why backspin is so important when shooting a basketball, and whether women are indeed as strong as men. With nearly 400 questions and answers on everything from race cars to jumping fleas to vanishing elephants, Mad about Physics presents a comprehensive collection of braintwisters and paradoxes that will challenge and entertain even the brainiest of science lovers. Whether you're a physicist by trade or just want to give your brain a power workout, this collection of intriguing and unusual physics challenges will send you on a highly entertaining ride that reveals the relevance of physics in our everyday lives.

The Stanford Mathematics Problem Book

With Hints and Solutions

Author: George Polya,Jeremy Kilpatrick

Publisher: Courier Corporation

ISBN: 048631832X

Category: Mathematics

Page: 80

View: 8600

Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

The Colossal Book of Mathematics

Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics

Author: Martin Gardner

Publisher: W. W. Norton & Company

ISBN: 9780393020236

Category: Games

Page: 724

View: 8542

The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.

In Praise of Simple Physics

The Science and Mathematics behind Everyday Questions

Author: Paul J. Nahin

Publisher: Princeton University Press

ISBN: 1400880513

Category: Science

Page: 272

View: 7434

Physics can explain many of the things that we commonly encounter. It can tell us why the night is dark, what causes the tides, and even how best to catch a baseball. With In Praise of Simple Physics, popular math and science writer Paul Nahin presents a plethora of situations that explore the science and math behind the wonders of everyday life. Roaming through a diverse range of puzzles, he illustrates how physics shows us ways to wring more energy from renewable sources, to measure the gravity in our car garages, to figure out which of three light switches in the basement controls the light bulb in the attic, and much, much more. How fast can you travel from London to Paris? How do scientists calculate the energy of an atomic bomb explosion? How do you kick a football so it stays in the air and goes a long way downfield? Nahin begins with simpler problems and progresses to more challenging questions, and his entertaining, accessible, and scientifically and mathematically informed explanations are all punctuated by his trademark humor. Readers are presumed to have some background in beginning differential and integral calculus. Whether you simply have a personal interest in physics' influence in the world or you're an engineering and science student who wants to gain more physics know-how, this book has an intriguing scenario for you. In Praise of Simple Physics proves that if we look carefully at the world around us, physics has answers for the most astonishing day-to-day occurrences.

Can You Solve My Problems?

Ingenious, Perplexing, and Totally Satisfying Math and Logic Puzzles

Author: Alex Bellos

Publisher: The Experiment

ISBN: 161519388X

Category: Games & Activities

Page: 352

View: 6117

Puzzle lovers, rejoice! Bestselling math writer Alex Bellos has a challenge for you: 125 of the world's best brainteasers from the last two millennia. Armed with logic alone, you'll detect counterfeit coins, navigate river crossings, and untangle family trees. Then--with just a dash of high school math--you'll tie a rope around the Earth, match wits with a cryptic wizard, and use four 4s to create every number from 1 to 50. (It can be done!) The ultimate casebook for daring puzzlers, Can You Solve My Problems? also tells the story of the puzzle--from ancient China to Victorian England to modern-day Japan. Grab your pencil and get puzzling!

Guesstimation

Solving the World's Problems on the Back of a Cocktail Napkin

Author: Lawrence Weinstein,John A. Adam

Publisher: Princeton University Press

ISBN: 9781400824441

Category: Mathematics

Page: 320

View: 4659

Guesstimation is a book that unlocks the power of approximation--it's popular mathematics rounded to the nearest power of ten! The ability to estimate is an important skill in daily life. More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic. Lawrence Weinstein and John Adam present an eclectic array of estimation problems that range from devilishly simple to quite sophisticated and from serious real-world concerns to downright silly ones. How long would it take a running faucet to fill the inverted dome of the Capitol? What is the total length of all the pickles consumed in the US in one year? What are the relative merits of internal-combustion and electric cars, of coal and nuclear energy? The problems are marvelously diverse, yet the skills to solve them are the same. The authors show how easy it is to derive useful ballpark estimates by breaking complex problems into simpler, more manageable ones--and how there can be many paths to the right answer. The book is written in a question-and-answer format with lots of hints along the way. It includes a handy appendix summarizing the few formulas and basic science concepts needed, and its small size and French-fold design make it conveniently portable. Illustrated with humorous pen-and-ink sketches, Guesstimation will delight popular-math enthusiasts and is ideal for the classroom.

Guesstimation 2.0

Solving Today's Problems on the Back of a Napkin

Author: Lawrence Weinstein

Publisher: Princeton University Press

ISBN: 069115080X

Category: Business & Economics

Page: 359

View: 3974

Guesstimation 2.0 reveals the simple and effective techniques needed to estimate virtually anything--quickly--and illustrates them using an eclectic array of problems. A stimulating follow-up to Guesstimation, this is the must-have book for anyone preparing for a job interview in technology or finance, where more and more leading businesses test applicants using estimation questions just like these. The ability to guesstimate on your feet is an essential skill to have in today's world, whether you're trying to distinguish between a billion-dollar subsidy and a trillion-dollar stimulus, a megawatt wind turbine and a gigawatt nuclear plant, or parts-per-million and parts-per-billion contaminants. Lawrence Weinstein begins with a concise tutorial on how to solve these kinds of order of magnitude problems, and then invites readers to have a go themselves. The book features dozens of problems along with helpful hints and easy-to-understand solutions. It also includes appendixes containing useful formulas and more. Guesstimation 2.0 shows how to estimate everything from how closely you can orbit a neutron star without being pulled apart by gravity, to the fuel used to transport your food from the farm to the store, to the total length of all toilet paper used in the United States. It also enables readers to answer, once and for all, the most asked environmental question of our day: paper or plastic?

300 Creative Physics Problems with Solutions

Author: Laszlo Holics

Publisher: Anthem Press

ISBN: 0857284029

Category: Education

Page: 538

View: 7541

This collection of exercises, compiled for talented high school students, encourages creativity and a deeper understanding of ideas when solving physics problems. Described as 'far beyond high-school level', this book grew out of the idea that teaching should not aim for the merely routine, but challenge pupils and stretch their ability through creativity and thorough comprehension of ideas.

The Cosmic Cocktail

Three Parts Dark Matter

Author: Katherine Freese

Publisher: Princeton University Press

ISBN: 140085007X

Category: Science

Page: 264

View: 5107

The ordinary atoms that make up the known universe—from our bodies and the air we breathe to the planets and stars—constitute only 5 percent of all matter and energy in the cosmos. The rest is known as dark matter and dark energy, because their precise identities are unknown. The Cosmic Cocktail is the inside story of the epic quest to solve one of the most compelling enigmas of modern science—what is the universe made of?—told by one of today's foremost pioneers in the study of dark matter. Blending cutting-edge science with her own behind-the-scenes insights as a leading researcher in the field, acclaimed theoretical physicist Katherine Freese recounts the hunt for dark matter, from the discoveries of visionary scientists like Fritz Zwicky—the Swiss astronomer who coined the term "dark matter" in 1933—to the deluge of data today from underground laboratories, satellites in space, and the Large Hadron Collider. Theorists contend that dark matter consists of fundamental particles known as WIMPs, or weakly interacting massive particles. Billions of them pass through our bodies every second without us even realizing it, yet their gravitational pull is capable of whirling stars and gas at breakneck speeds around the centers of galaxies, and bending light from distant bright objects. Freese describes the larger-than-life characters and clashing personalities behind the race to identify these elusive particles. Many cosmologists believe we are on the verge of solving the mystery. The Cosmic Cocktail provides the foundation needed to fully fathom this epochal moment in humankind’s quest to understand the universe.

Brilliant Green

The Surprising History and Science of Plant Intelligence

Author: Stefano Mancuso,Alessandra Viola

Publisher: Island Press

ISBN: 1610916042

Category: Science

Page: 184

View: 2385

Are plants intelligent? Can they solve problems, communicate, and navigate their surroundings? Or are they passive, incapable of independent action or social behavior? Philosophers and scientists have pondered these questions since ancient Greece, most often concluding that plants are unthinking and inert: they are too silent, too sedentary -- just too different from us. Yet discoveries over the past fifty years have challenged these ideas, shedding new light on the extraordinary capabilities and complex interior lives of plants. In Brilliant Green, Stefano Mancuso, a leading scientist and founder of the field of plant neurobiology, presents a new paradigm in our understanding of the vegetal world. Combining a historical perspective with the latest in plant science, Mancuso argues that, due to cultural prejudices and human arrogance, we continue to underestimate plants. In fact, they process information, sleep, remember, and signal to one another -- showing that, far from passive machines, plants are intelligent and aware. Through a survey of plant capabilities from sight and touch to communication, Mancuso challenges our notion of intelligence, presenting a vision of plant life that is more sophisticated than most imagine. Plants have much to teach us, from network building to innovations in robotics and man-made materials -- but only if we understand more about how they live. Part botany lesson, part manifesto, Brilliant Green is an engaging and passionate examination of the inner workings of the plant kingdom. Financial support for the translation of this book has been provided by SEPS: Segretariato Europeo Per Le Pubblicazioni Scientifiche.

Cambridge Pre-U Mathematics Coursebook

Author: Mark Hennings

Publisher: Cambridge University Press

ISBN: 1316635759

Category: Education

Page: 792

View: 8959

Cambridge Pre-U Mathematics offers a comprehensive resource for students to develop the thinking skills and logic required of the Cambridge Pre-U Mathematics syllabus (9794). This Cambridge Pre-U Mathematics Coursebook provides a comprehensive resource to prepare students for the high level of mathematical knowledge expected for progression through the Pre-U syllabus. The chapters have been arranged to provide logical progression through the course, and includes clear explanation of concepts, detailed worked examples and focused exercises to help practice and consolidate skills.

Teaching introductory physics

Author: Arnold B. Arons

Publisher: John Wiley & Sons Inc

ISBN: 9780471137078

Category: Science

Page: 816

View: 8275

This book is an invaluable resource for physics teachers. It contains an updated version of the author's A Guide to Introductory Physics Teaching (1990), Homework and Test Questions (1994), and a previously unpublished monograph "Introduction to Classical Conservation Laws".