Standard text for studying ferroelectric and pyroelectric devices. Develops the modern theory of ferroelectricity in terms of soft modes and lattice dynamics, covering modern techniques of measurement such as x-ray, optic, and neutron scattering. First published in 1977. Softcover.

Principles and Applications of Ferroelectrics and Related Materials (Oxford Classic Texts in the Physical Sciences)

Science & Math

Lines, M. E.

Physics

Oxford University Press

On the Shoulders of Giants

Mathematics is the only science with a methodology based upon deductive logic, whereas physics is a quantitative science based upon experiment and observation in which trial and error are inherent. Physics uses the most relevant mathematics, for example using group theory to explain the theoretical basis for the crystalline structure of solids, an illustration of how, time and time again, a mathematical theorem perhaps developed by a Greek philosopher is relevant to today's newly developed physics proof.On the Shoulders of Giants investigates the relationship between the disciplines of physics and mathematics and shows how many of the most significant advances of 20th-century physics rely on mathematics developed, sometimes much earlier, with no particular physics application in mind. Quoting from mathematicians such as Poincaré and Euclid and physicists such as Newton and Feynman, the links between the two disciplines are explored in the author's entertaining style, providing a fascinating account of the twists and turns in scientific progress through the ages.Challenging, stimulating, and questioning, the book explains how the uncanny ability of formal and abstract mathematics can interpret the properties of the physical world. Using a wide ranging set of examples, it illustrates the manner in which mathematics has been applied to physics and even points to directions for future research. The book discusses how to fill space without leaving gaps; Euclidean geometry, its limitations, and the bending of space; the laws of musical harmony, sound vibrations, and the confinement of electrons in solids; how to tile a floor efficiently; Newton's Laws of Motion, chaos, and the weather; group theory and garlic; the laws of chance; route-planning in Konigsberg with Euler; the rules that turn bath bubbles into suds; the shape of soot; and the Schrödinger equation and why a pendulum can never stop.Requiring some prior knowledge of physics and mathematics, this well-illustrated book will be of interest to all readers with an interest in physics and mathematics, in learning more about the role of mathematics as the formal language of physics, and in how physics and mathematics have influenced scientific research.

History & Philosophy

Routledge

Think of a Number

How many colors are needed to color a map? Must hailstones numbers always fall to the ground? Can statistics prove anything? What is a perfect square, and who has found the ultimate one? How do numbers affect national security? What kinds of problems confront the traveling salesman? Does anyone know how best to pack balls together? What is life like in 4 (or 3 1/2) dimensions? How does a clock count, and why should we care? What number secrets do sunflowers and pine cones conceal? What is a monster doing in mathematics? These and many other fascinating questions about familiar numbers like 1, 2, and 3 are explored in Malcolm Line's second adventure into the world of numbers. Written in a lively and readable style, Think of a Number relates the story of some of the most famous problems that have confronted the world's experts over the centuries, from the earliest interests of the ancient Greeks to the very cutting-edge of modern research involving today's most powerful computers. The book explores the relationship between numbers and nature in its broadest sense and discovers the beauty of fractals and chaos. Requiring little or no prior knowledge of mathematics, this resource will be fascinating reading for anyone with an interest in numbers and their role in the natural world.

Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.

A Number for your Thoughts: Facts and Speculations About Numbers from Euclid to the Latest Computers

Taylor&Francis

Mathematics is the only science with a methodology based upon deductive logic, whereas physics is a quantitative science based upon experiment and observation in which trial and error are inherent. Physics uses the most relevant mathematics, for example using group theory to explain the theoretical basis for the crystalline structure of solids, an illustration of how, time and time again, a mathematical theorem perhaps developed by a Greek philosopher is relevant to today's newly developed physics proof. On the Shoulders of Giants investigates the relationship between the disciplines of physics and mathematics and shows how many of the most significant advances of 20th-century physics rely on mathematics developed, sometimes much earlier, with no particular physics application in mind. Quoting from mathematicians such as Poincar nd Euclid and physicists such as Newton and Feynman, the links between the two disciplines are explored in the author's entertaining style, providing a fascinating account of the twists and turns in scientific progress through the ages. Challenging, stimulating, and questioning, the book explains how the uncanny ability of formal and abstract mathematics can interpret the properties of the physical world. Using a wide ranging set of examples, it illustrates the manner in which mathematics has been applied to physics and even points to directions for future research. The book discusses how to fill space without leaving gaps; Euclidean geometry, its limitations, and the bending of space; the laws of musical harmony, sound vibrations, and the confinement of electrons in solids; how to tile a floor efficiently; Newton's Laws of Motion, chaos, and the weather; group theory and garlic; the laws of chance; route-planning in Konigsberg with Euler; the rules that turn bath bubbles into suds; the shape of soot; and the Schr dinger equation and why a pendulum can never stop. Requiring some prior knowledge of physics and mathemati

How many colors are needed to color a map? Must hailstones numbers always fall to the ground? Can statistics prove anything? What is a perfect square, and who has found the ultimate one? How do numbers affect national security? What kinds of problems confront the traveling salesman? Does anyone know how best to pack balls together? What is life like in 4 (or 3 1/2) dimensions? How does a clock count, and why should we care? What number secrets do sunflowers and pine cones conceal? What is a monster doing in mathematics? These and many other fascinating questions about familiar numbers like 1, 2, and 3 are explored in Malcolm Line's second adventure into the world of numbers. Written in a lively and readable style, Think of a Number relates the story of some of the most famous problems that have confronted the world's experts over the centuries, from the earliest interests of the ancient Greeks to the very cutting-edge of modern research involving today's most powerful computers. The book explores the relationship between numbers and nature in its broadest sense and discovers the beauty of fractals and chaos. Requiring little or no prior knowledge of mathematics, this resource will be fascinating reading for anyone with an interest in numbers and their role in the natural world.

CRC-Press

See the best price to sell, buy, or rent books by Lines, M. E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Lines, M. E.

See the best price to sell, buy, or rent books by Lines, M. E.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Principles and Applications of Ferroelectrics and Related Materials (Oxford Classic Texts in the Physical Sciences)

On the Shoulders of Giants

Think of a Number

A Number for your Thoughts: Facts and Speculations About Numbers from Euclid to the Latest Computers

On the Shoulders of Giants

Think of a Number