New Arrivals · Mathematics & Physics

April 16, 2014
These titles were recently added to the collection of the Public Library of Cincinnati and Hamilton County.

College algebra

April 15, 2014
Spiegel, Murray R., author.
©2014
xii, 388 pages : ill. ; 28 cm
Previous edition: 2006.
Includes index.
Fundamental operations with numbers -- Fundamental operations with algebraic expressions -- Properties of numbers -- Special products -- Factoring -- Fractions -- Exponents -- Radicals -- Simple operations with complex numbers -- Equations in general -- Ratio, proportion, and variation -- Functions and graphs -- Linear equations in one variable -- Equations of lines -- Simultaneous linear equations -- Quadratic equations in one variable -- Conic sections -- Systems of equations involving quadratics -- Inequalities -- Polynomial functions -- Rational functions -- Sequences and series -- Logarithms -- Applications of Logarithms and Exponents -- Permutations and combinations -- The binomial theorem -- Probability -- Determinants -- Matrices -- Mathematical induction -- Partial fractions.

Statistics

April 15, 2014
Spiegel, Murray R.
New York : McGraw-Hill, c2014.
xix, 577 pages : illustrations ; 28 cm.
Includes index.
With 508 solved problems, this book includes: information on frequency distribution, elementary probability theory, elementary sampling theory, statistical decision theory, and analysis of variance; and concise explanation of all course concepts.

Infinitesimal : how a dangerous mathematical theory shaped the modern world

April 14, 2014
Alexander, Amir R., author.
New York : Scientific American/Farrar, Straus and Giroux, 2014.
352 pages : illustrations ; 24 cm
Part I. The war against disorder: the Jesuits against the infinitely small. 1. The children of Ignatius ; 2. Mathematical order ; 3. Mathematical disorder ; 4. "Destroy or be destroyed": the war on the infinitely small ; 5. The battle of the mathematicians -- Part II. Leviathan and the infinitesimal. 6. The coming of Leviathan ; 7. Thomas Hobbes, geometer ; 8. Who was John Wallis? ; 9. Mathematics for a new world -- Epilogue: two modernities.
"The epic battle over a mathematical concept that shook the old order and shaped the world as we know it. On August 10, 1632, five leaders of the Society of Jesus convened in a somber Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander's Infinitesimal is the story of the struggle that pitted Europe's entrenched powers against voices for tolerance and change. It takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. We see how a small mathematical disagreement became a contest over the nature of the heavens and the earth: Was the world entirely known and ruled by a divinely sanctioned rationality and hierarchy? Or was it a vast and mysterious place, ripe for exploration? The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line--and celebrates the spirit of discovery, innovation, and intellectual achievement"-- Provided by publisher.

Enlightening symbols : a short history of mathematical notation and its hidden powers

April 2, 2014
Mazur, Joseph.
Princeton, NJ : Princeton University Press, [2014]
xxiii, 285 pages : illustrations ; 24 cm
Numerals. Curious beginnings ; Certain ancient number systems ; Silk and Royal roads ; The Indian gift ; Arrival in Europe ; The Arab gift ; Liber abbaci ; Refuting origins -- Algebra. Sans symbols ; Diophantus's Arithmetica ; The great art ; Symbol infancy ; The timid symbol ; Hierarchies of dignity ; Vowels and consonants ; The explosion ; A catalogue of symbols ; The symbol master ; The last of the magicians -- The power of symbols. Rendezvous in the mind ; The good symbol ; Invisible gorillas ; Mental pictures -- Appendix A. Leibniz's notation -- Appendix B. Newton's fluxion of x [superscript n] -- Appendix C. Experiment -- Appendix D/ Visualizing complex numbers -- Appendix E. Quaternions.

A force of nature : the frontier genius of Ernest Rutherford

April 1, 2014
Reeves, Richard, 1936-
New York : W. W. Norton & Co., c2008.
207 p., [16] p. of plates : ill. ; 21 cm.
"Born in colonial New Zealand, fifteen mountain miles away from the nearest town, Ernest Rutherford grew up on the frontier - a different world from Cambridge, to which he won a scholarship at the age of twenty-four. His work overseas revolutionized modern physics. Among his discoveries were the orbital structure of the atom and the concept of the "half-life" of radioactive materials, which led to a massive reevaluation of the age of the Earth, previously judged to be just 100 million years old. Rutherford and the young men working under him were the first to split the atom, unlocking tremendous forces - forces, as Rutherford himself predicted, that would bring us the atomic bomb." "Rutherford, awarded a Nobel Prize and made Baron Rutherford by the Queen, was also a great humanist and teacher, coming to the aid of colleagues caught in the Nazi and Soviet regimes. Under his rigorous and boisterous direction, a new generation of remarkable physicists emerged from the famous Cavendish Laboratory. In Richard Reeves's hands, Rutherford comes alive, a ruddy, genial man and a pivotal figure in scientific history."--BOOK JACKET.

The age of radiance : the epic rise and dramatic fall of the Atomic Era

March 27, 2014
Nelson, Craig, 1955- author.
New York, NY : Scribner, 2014.
437 pages, 8 unnumbered pages of plates : illustrations ; 24 cm.
The old world. Radiation : what's in it for me? ; The astonished owner of a new and mysterious power ; Rome : November 10, 1938 ; The mysteries of Budapest -- The new world. The birth of radiance ; The secret of all secrets ; The first cry of a newborn world ; My God, what have we done? -- World's end. How do you keep a cold war cold? ; A totally different scheme, and it will change the course of history ; The origins of modern swimwear ; The delicate balance of terror -- Power and cataclysm. Too cheap to meter ; There fell a great star from heaven, burning as it were a lamp ; Hitting a bullet with a bullet ; On the shores of Fortunate Island ; Under the thrall of a two-faced god.
"A riveting narrative of the Atomic Age--from x-rays and Marie Curie to the Nevada Test Site and the 2011 meltdown in Japan--written by the prizewinning and bestselling author of Rocket Men. Radiation is a complex and paradoxical concept: staggering amounts of energy flow from seemingly inert rock and that energy is both useful and dangerous. While nuclear energy affects our everyday lives--from nuclear medicine and food irradiation to microwave technology--its invisible rays trigger biological damage, birth defects, and cellular mayhem. Written with a biographer's passion, Craig Nelson unlocks one of the great mysteries of the universe in a work that is both tragic and triumphant. From the end of the nineteenth century through the use of the atomic bomb in World War II to the twenty-first century's confrontation with the dangers of nuclear power, Nelson illuminates a pageant of fascinating historical figures: Enrico Fermi, Marie and Pierre Curie, Albert Einstein, FDR, Robert Oppenheimer, and Ronald Reagan, among others. He reveals many little-known details, including how Jewish refugees fleeing Hitler transformed America from a country that created light bulbs and telephones into one that split atoms; how the most grotesque weapon ever invented could realize Alfred Nobel's lifelong dream of global peace; how emergency workers and low-level utility employees fought to contain a run-amok nuclear reactor, while wondering if they would live or die. Brilliantly fascinating and remarkably accessible, The Age of Radiance traces mankind's complicated and difficult relationship with the dangerous power it discovered and made part of civilization"-- Provided by publisher.

Calculus II for dummies

March 13, 2014
Zegarelli, Mark.
Hoboken, NJ : John Wiley & Sons, 2012.
xiv, 368 p. : ill. ; 24 cm.
Includes index.
Introduction to integration -- Indefinite integrals -- Intermediate integration topics -- Infinite series -- Advanced topics -- The part of tens.
An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject. --From publisher description.

Trespassing on Einstein's lawn : a father, a daughter, the meaning of nothing, and the beginning of everything

March 11, 2014
Gefter, Amanda.
©2014
418 pages : illustrations ; 25 cm
A spirited personal account of a father and daughter's quest for answers to some of the universe's biggest questions, written by a consultant for New Scientist magazine and the founder of the CultureLab blog, starts with the author's attempt to sneak into a conference attended by the planet's greatest scientific thinkers.

Trigonometry for dummies

March 10, 2014
Sterling, Mary Jane, author.
Hoboken : John Wiley & Sons, [2014].
xii, 368 pages : illustrations ; 23 cm.
Previous edition: 2005.
Includes index.

Basic math & pre-algebra for dummies

March 3, 2014
Zegarelli, Mark.
Hoboken, NJ : John Wiley & Sons, c2014.
xii, 366 p. : ill. ; 24 cm.
Previous ed.: 2007.
"A Wiley brand."

What is relativity? : an intuitive introduction to Einstein's ideas, and why they matter

February 27, 2014
Bennett, Jeffrey O.
New York : Columbia University Press, [2014]
viii, 192 pages : illustrations ; 24 cm
Getting started -- Voyage to a black hole -- Einstein's special theory of relativity -- Racing light -- Redefining space and time -- A new common sense -- Einstein's general theory of relativity -- Newton's absurdity -- Redefining gravity -- Implications of relativity -- Black holes -- The expanding universe -- Epilogue : your indelible mark on the universe.

Quantum mechanics : the theoretical minimum

February 21, 2014
Susskind, Leonard.
New York : Basic Books, 2014
xx, 365 pages : illustrations ; 22 cm
Includes index.
Systems and experiments -- Quantum states -- Principles of quantum mechanics -- Time and change -- Uncertainty and time dependence -- Combining systems: entanglement -- More on entanglement -- Particles and waves -- Partical dynamics -- The harmonic oscillator.

Wizards, aliens, and starships : physics and math in fantasy and science fiction

February 13, 2014
Adler, Charles L.
Princeton : Princeton University Press, 2014.
xi, 378 pages : illustrations ; 25 cm
Playing the Game -- I. Potter Physics -- Harry Potter and the Great Conservation Laws -- Why Hogwarts is So Dark -- Fantastic Beasts and How to Disprove Them -- II. Space Travel -- Why Computers Get Better and Cars Can't (Much) -- Vacations in Space -- Space Colonies -- The Space Elevator -- Manned Interplanetary Travel -- Advanced Propulsion Systems -- Speculative Propulsion Systems -- Interstellar Travel and Relativity -- Faster Than Light Travel and Time Travel -- III. Worlds and Aliens -- Designing a Habitable Planet -- The Scientific Search for Spock -- The Mathematics of Talking with Aliens -- IV. Year Googol -- The Short-term Survival of Humanity -- World-Building -- Dyson Spheres and Ringworlds -- Advanced Civilizations and the Kardashev Scale -- A Googol Years.
"From teleportation and space elevators to alien contact and interstellar travel, science fiction and fantasy writers have come up with some brilliant and innovative ideas. Yet how plausible are these ideas--for instance, could Mr. Weasley's flying car in Harry Potter really exist? Which concepts might actually happen--and which ones wouldn't work at all? Wizards, Aliens, and Starships delves into the most extraordinary details in science fiction and fantasy--such as time warps, shape changing, rocket launches, and illumination by floating candle--and shows readers the physics and math behind the phenomena. With simple mathematical models, and in most cases using no more than high school algebra, Charles Adler ranges across a plethora of remarkable imaginings, from the works of Ursula K. Le Guin to Star Trek and Avatar, to explore what might become reality. Adler explains why fantasy in the Harry Potter and Dresden Files novels cannot adhere strictly to scientific laws, and when magic might make scientific sense in the muggle world. He examines space travel and wonders why it isn't cheaper and more common today. Adler also discusses exoplanets and how the search for alien life has shifted from radio communications to space-based telescopes. He concludes by investigating the future survival of humanity and other intelligent races. Throughout, he cites an abundance of science fiction and fantasy authors, and includes concise descriptions of stories as well as a glossary of science terms. Wizards, Aliens, and Starships will speak to anyone wanting to know about the correct--and incorrect--science of science fiction and fantasy"-- Provided by publisher.

The improbability principle : why coincidences, miracles, and rare events happen every day

February 13, 2014
Hand, D. J. (David J.), 1950-
New York : Scientific American/Farrar, Straus and Giroux, 2014.
xii, 269 pages : illustrations ; 24 cm
The mystery -- A capricious universe -- What is chance? -- The law of inevitability -- The law of truly large numbers -- The law of selection -- The law of the probability lever -- The law of near enough -- The human mind -- Life, the universe, and everything -- How to use the improbatility principle.
A statistician presents his theory that extraordinary and rare events are actually commonplace and cites stories of two-time lottery winners and other bizarre coincidences to support his theory that unlikely events statistically must happen.

The perfect wave : with neutrinos at the boundary of space and time

February 10, 2014
Päs, H. (Heinrich)
Cambridge, Massachusetts : Harvard University Press, [2014].
x, 295 pages : illustrations, map ; 22 cm
Dawn patrol in Honolulu -- Eleusis, Pato, magic mushrooms -- Quantum physics : the multiverse of Parmenides -- Black dots on a white background : the particle world -- Beyond the desert : symmetries and unification -- From symmetry breaking to supersymmetry -- Birth of an outlaw : the neutrino -- Nuclear decays a thousand meters underground -- New physics is falling from the skies -- Cosmic connections -- Neutrinos : key to the universe -- Extra dimensions, strings, and branes -- Einstein's heritage : what is time? -- How to build a time machine -- Against Hawking and the timekeepers -- Into the wilderness of the terascale -- Epilogue : Major Tom and the singing Socrates.

The sound book : the science of the sonic wonders of the world

February 7, 2014
Cox, Trevor J.
New York : W.W. Norton & Company, 2014.
331 pages : illustrations, map ; 25 cm
"Published in Great Britain by The Bodley Head under the title Sonic wonderland : a scientific odyssey of sound"--Title page verso.
The most reverberant place in the world -- Ringing rocks -- Barking fish -- Echoes of the past -- Going round the bend -- Singing sands -- The quietest places in the world -- Placing sound -- Future wonders.
"With forays into archaeology, neuroscience, biology, and design, Cox explains how sound is made and altered by the environment, how our body reacts to peculiar noises, and how these mysterious wonders illuminate sound's surprising dynamics in everyday settings, from your bedroom to the opera house"--Amazon.com.

The art of problem solving. Volume 1, the basics : solutions manual

February 7, 2014
Lehoczky, Sandor.
Alpine, CA : AoPS, c2006.
144 p. : ill. ; 28 cm.

The perfect theory : a century of geniuses and the battle over general relativity

January 31, 2014
Ferreira, Pedro G.
Boston : Houghton Mifflin Harcourt, 2014.
xv, 288 pages ; 24 cm
If a person falls freely -- The most valuable discovery -- Correct mathematics, abominable physics -- Collapsing stars -- Completely cuckoo -- Radio days -- Wheelerisms -- Singularities -- Unification woes -- Seeing gravity -- The dark universe -- The end of spacetime -- A spectacular extrapolation -- Something is going to happen.
"At the core of Einstein's general theory of relativity are a set of equations that explain the relationship among gravity, space, and time--possibly the most perfect intellectual achievement of modern physics. For over a century, physicists have been exploring, debating, and at times neglecting Einstein's theory in their quest to uncover the history of the universe, the origin of time, and the evolution of solar systems, stars, and galaxies. In this sweeping narrative of science and culture, Pedro Ferreira explains the theory through the human drama surrounding it: the personal feuds and intellectual battles of the biggest names in twentieth-century physics, from Einstein and Eddington to Hawking and Penrose. We are 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 engagingly reveals the greater relevance of general relativity, showing us where it started, where it has led, and where it can still take us"-- Provided by publisher.

Cracking the particle code of the universe : the hunt for the Higgs boson

January 15, 2014
Moffat, John W.
Oxford : Oxford University Press, [2014]
xv, 232 pages : illustrations ; 25 cm
Prelude : CERN, April 2008 -- What is everything made of? -- Detecting subatomic particles -- Group theory and gauge invariance -- Looking for something new at the LHC -- The Higgs particle/field and weak interactions -- Data that go bump in the night -- Trying to identify the 125 GeV bump -- Electroweak gauge theories -- The discovery of a new boson : is it the Higgs or not? -- Do we live in a naturally tuned universe? -- The last word until 2015 -- Glossary.

Speed math

January 13, 2014
Tekriwal, Gaurav, author.
©2014
xi, 272 pages : illustrations ; 23 cm
Includes index.
High-speed operations. Multiplication ; Addition ; Subtraction ; Division ; Checking your answers with digit sums -- High-speed math applications. Fractions ; Decimals ; Percentages ; Divisibility ; Squared numbers ; Cubed numbers ; Numbers to the fourth and fifth powers ; Square and cube roots -- Practice problems -- Answer key.
"Simple methods for doing math quickly in your head; Shortcuts and tricks for on-paper calculations; Helpful insights to improve your understanding"--Page 1 of cover.

College algebra demystified

January 8, 2014
Huettenmueller, Rhonda, author.
New York : McGraw-Hill Education, [2014]
xiii, 497 pages :billustrations ; 24 cm
Includes index.
Fundamentals -- Linear equations and inequalities -- Quadratic equations -- The xy-coordinate plane -- Lines and parabolas -- Nonlinear inequalities -- Functions -- Quadratic functions -- Transformations and combinations -- Polynomial functions -- Systems of equations and inequalities -- Exponents and logarithms.
"An easy-to-use self-teaching guide covering all the fundamentals of college algebra"-- Provided by publisher.

Mathematics minus fear : how to make math fun and beneficial to your everyday life

January 6, 2014
Potter, Lawrence, 1975-
New York : Pegasus Books : Distributed by W.W. Norton, 2013.
xiii, 273 p. : ill. ; 22 cm.
Why? -- Numbers in your head, figures on paper. Small steps ; How many fingers? ; Outside the supermarket ; Putting two and two together ; Go forth and multiply ; 'Countdown' ; Putting numbers to paper ; Borrowing and carrying ; Long, long multiplication ; Long division explained ; Checking it all adds up -- Different kinds of numbers. Kit-Kats and kosher ; A 'Ryche shepemaster' ; Proportion has its problems 1 ; Proportion has its problems 2 ; Colouring in pizzas ; What the Egyptians did ; Equivalent fractions ; Adding fractions on paper ; Turin it upside-down and multiply ; What is the (decimal) point? ; Manipulating decimals ; One hundred percent ; Something of interest ; Prudence is a virtue ; Two hundred percent -- Fear of the unknown. Algebra and broken bones ; Doing the same to both sides ; Change all the signs ; False assumptions ; The logic behind simultaneous equations ; Squabbling schoolboys ; Algebra is democracy ; The saving of Charlie -- Chance would be a fine thing. High expectations for probability ; It's a load of balls ; Muddy waters ; It's not all about numbers ; The weather forecast is wrong ; Back to the classroom ; Putting probability into practice ; Vegas, baby! ; The Law of Large Numbers ; Gambling with life insurance -- Appendix A. Dividing fractions -- Appendix B. Putting sudoku to bed -- Appendix C. Answers to puzzles.

No better time : the brief, remarkable life of Danny Lewin - the genius who transformed the Internet

December 18, 2013
Raskin, Molly Knight.
©2013.
x, 246 pages, 8 unnumbered pages of plates : illustrations ; 24 cm
World wide wait -- Ascent to Israel -- Publish or perish -- May madness -- Secret sauce -- Kings of cache -- Science or snake oil? -- Go-go days -- Overnight zillionaires -- B'Siyata Dishmaya (with the help of Heaven) -- Gutted.
An account of the story of internet genius Danny Lewin presents coverage of his love for Israel, the mathematic algorithm that rendered him an instant billionaire, his contributions as an anti-terrorism soldier and his tragic death during the September 11 attacks.

Statistics : a complete introduction

December 17, 2013
Graham, Alan, 1947-
London : Hodder & Stoughton, 2013.
xiii, 354 p. ; 20 cm.
First published 2001.
A bestselling introductory course that covers all the key areas of Statistics including graphs, data interpretation, spreadsheets, regression, correlation and probability.

Mathematics : a basic introduction

December 17, 2013
Graham, Alan, 1947- author.
©2013
xvii, 284 pages : illustrations ; 20 cm.
First published in Great Britain: 1995.
"Previously published as Teach Yourself Basic Mathematics and Basic Mathematics: Teach Yourself"--Reverse of title page.

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