An Equation for Every Occasion

An Equation for Every Occasion
Author: John M. Henshaw
Publisher: Johns Hopkins University Press
Total Pages: 200
Release: 2016-06-15
Genre: Mathematics
ISBN: 1421419831

A little math, a bit of history, and a dose of storytelling combine to reveal the importance of equations in everyday life. With this fun romp through the world of equations we encounter in our everyday lives, you’ll find yourself flipping through the stories of fifty-two formulas faster than a deck of cards. John M. Henshaw’s intriguing true accounts, each inspired by a different mathematical equation, are both succinct and easy to read. His tales come from the spheres of sports, business, history, the arts, science, and technology. Anecdotes about famous equations, like E=mc2, appear alongside tales of not-so-famous—but equally fascinating—equations, such as the one used to determine the SPF number for sunscreen. Drawn from the breadth of human endeavor, Henshaw's stories demonstrate the power and utility of math. He entertains us by exploring the ways that equations can be used to explain, among other things, Ponzi schemes, the placebo effect, “dog years,” IQ, the wave mechanics of tsunamis, the troubled modern beekeeping industry, and the Challenger disaster. Smartly conceived and fast paced, his book offers something for anyone curious about math and its impacts.

An Equation for Every Occasion

An Equation for Every Occasion
Author: Chris Waring
Publisher:
Total Pages: 192
Release: 2020-07-23
Genre:
ISBN: 9781789292220

If you're a little worried about what the future holds, you might be stock-piling cans of beans or building an underground bunker. But the real key to surviving in an unpredictable world is understanding the natural forces and relationships that rule everything we do. An Equation for Every Occasiontackles some frankly ridiculous scenarios with essential bullet-proof equations that you'll probably never be able to apply in real life. Whether you paid much attention to the mathematics you were taught at school or not, the inescapable truth is that real life is full of equations and a lot of our everyday decisions are calculated - we just don't always realise it. And that's ok - you absentmindedly use differentiation when you're driving your car and it gets you from A to B. You unthinkingly apply basic geometry when you're crossing the road between traffic and you will pretty much always make it to the other side safely. But what if you were plummeting to your death in a plane with no engine and you needed to know what size parachute to make from your cabinmate's sari in order to jump and survive? These entirely plausible real-life situations clearly require a little more thought. From how to work out the best guard configuration to protect a world-famous painting in the Louvre from being stolen to successfully piloting a space shuttle back to earth from the ISS to saving the planet from total blackout during an energy crisis, Chris Waring demonstrates the mind-bending and humanity-saving beauty of equations.

Beyond the Quartic Equation

Beyond the Quartic Equation
Author: R. Bruce King
Publisher: Springer Science & Business Media
Total Pages: 159
Release: 2009-01-16
Genre: Mathematics
ISBN: 0817648496

The objective of this book is to present for the first time the complete algorithm for roots of the general quintic equation with enough background information to make the key ideas accessible to non-specialists and even to mathematically oriented readers who are not professional mathematicians. The book includes an initial introductory chapter on group theory and symmetry, Galois theory and Tschirnhausen transformations, and some elementary properties of elliptic function in order to make some of the key ideas more accessible to less sophisticated readers. The book also includes a discussion of the much simpler algorithms for roots of the general quadratic, cubic, and quartic equations before discussing the algorithm for the roots of the general quintic equation. A brief discussion of algorithms for roots of general equations of degrees higher than five is also included. "If you want something truly unusual, try [this book] by R. Bruce King, which revives some fascinating, long-lost ideas relating elliptic functions to polynomial equations." --New Scientist

The Mathematics of Love

The Mathematics of Love
Author: Hannah Fry
Publisher: Simon and Schuster
Total Pages: 128
Release: 2015-02-03
Genre: Family & Relationships
ISBN: 1476784884

"A mathematician pulls back the curtain and reveals the hidden patterns--from dating sites to divorce, sex to marriage--behind the rituals of love ... applying mathematical formulas to the most common yet complex questions pertaining to love: What's the chance of finding love? What's the probability that it will last? How do online dating algorithms work, exactly? Can game theory help us decide who to approach in a bar? At what point in your dating life should you settle down?"--Amazon.com.

A Second Course in Elementary Differential Equations

A Second Course in Elementary Differential Equations
Author: Paul Waltman
Publisher: Elsevier
Total Pages: 272
Release: 2014-05-10
Genre: Mathematics
ISBN: 1483276600

A Second Course in Elementary Differential Equations deals with norms, metric spaces, completeness, inner products, and an asymptotic behavior in a natural setting for solving problems in differential equations. The book reviews linear algebra, constant coefficient case, repeated eigenvalues, and the employment of the Putzer algorithm for nondiagonalizable coefficient matrix. The text describes, in geometrical and in an intuitive approach, Liapunov stability, qualitative behavior, the phase plane concepts, polar coordinate techniques, limit cycles, the Poincaré-Bendixson theorem. The book explores, in an analytical procedure, the existence and uniqueness theorems, metric spaces, operators, contraction mapping theorem, and initial value problems. The contraction mapping theorem concerns operators that map a given metric space into itself, in which, where an element of the metric space M, an operator merely associates with it a unique element of M. The text also tackles inner products, orthogonality, bifurcation, as well as linear boundary value problems, (particularly the Sturm-Liouville problem). The book is intended for mathematics or physics students engaged in ordinary differential equations, and for biologists, engineers, economists, or chemists who need to master the prerequisites for a graduate course in mathematics.

The social significance of dining out

The social significance of dining out
Author: Alan Warde
Publisher: Manchester University Press
Total Pages: 266
Release: 2020-05-15
Genre: Social Science
ISBN: 1526134772

Dining out used to be considered exceptional; however, the Food Standards Authority reported that in 2014, one meal in six was eaten away from home in Britain. Previously considered a necessary substitute for an inability to obtain a meal in a family home, dining out has become a popular recreational activity for a majority of the population, offering pleasure as well as refreshment. Based on a major mixed-methods research project on dining out in England, this book offers a unique comparison of the social differences between London, Bristol and Preston from 1995 to 2015, charting the dynamic relationship between eating in and eating out. Addressing topics such as the changing domestic divisions of labour around food preparation, the variety of culinary experience for different sections of the population, and class differences in taste and the pleasures and satisfactions associated with dining out, the authors explore how the practice has evolved across the three cities.

Principles and Prenatal Growth

Principles and Prenatal Growth
Author: F. Falkner
Publisher: Springer Science & Business Media
Total Pages: 637
Release: 2013-03-09
Genre: Science
ISBN: 1468408143

Growth, as we conceive it, is the study of change in an organism not yet mature. Differential growth creates form: external form through growth rates which vary from one part of the body to another and one tissue to another; and internal form through the series of time-entrained events which build up in each cell the special ized complexity of its particular function. We make no distinction, then, between growth and development, and if we have not included accounts of differentiation it is simply because we had to draw a quite arbitrary line somewhere. It is only rather recently that those involved in pediatrics and child health have come to realize that growth is the basic science peculiar to their art. It is a science which uses and incorporates the traditional disciplines of anatomy, physiology, biophysics, biochemistry, and biology. It is indeed apart ofbiology, and the study of human growth is a part of the curriculum of the rejuvenated science of Human Biology. What growth is not is aseries of charts of height and weight. Growth standards are useful and necessary, and their construction is by no means void of intellectualchallenge. Theyare a basic instrument in pediatric epidemiology. But they do not appear in this book, any more than clinical accounts of growth disorders. This appears to be the first large handbook-in three volumes-devoted to Human Growth. Smaller textbooks on the subject began to appear in the late nineteenth century, some written by pediatricians and some by anthropologists.

The Perfect Theory

The Perfect Theory
Author: Pedro G. Ferreira
Publisher: HMH
Total Pages: 309
Release: 2014-02-04
Genre: Science
ISBN: 0547554907

“One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.