In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject.This text is part of the Walter Rudin Student Series in Advanced Mathematics.

    More than 250 challenging practice questions have been completely revised to closely model the format, tone, topics, and difficulty of the real exam. An integrated study system based on proven pedagogy, exam coverage includes step-by-step exercises, special Exam Watch notes, On-the-Job elements, and Self Tests with in-depth answer explanations to help reinforce and teach practical skills.Praise for the author:"Finally A Java certification book that explains everything clearly. All you need to pass the exam is in this book."--Solveig Haugland, Technical Trainer and Former Sun Course Developer"Who better to write a Java study guide than Kathy Sierra, the reigning queen of Java instruction? Kathy Sierra has done it again--here is a study guide that almost guarantees you a certification "--James Cubeta, Systems Engineer, SGI"The thing I appreciate most about Kathy is her quest to make us all remember that we are teaching people and not just lecturing about Java. Her passion and desire for the highest quality education that meets the needs of the individual student is positively unparalleled at SunEd. Undoubtedly there are hundreds of students who have benefited from taking Kathy's classes."--Victor Peters, founder Next Step Education & Software Sun Certified Java Instructor"I want to thank Kathy for the EXCELLENT Study Guide. The book is well written, every concept is clearly explained using a real life example, and the book states what you specifically need to know for the exam. The way it's written, you feel that you're in a classroom and someone is actually teaching you the difficult concepts, but not in a dry, formal manner. The questions at the end of the chapters are also REALLY good, and I am sure they will help candidates pass the test. Watch out for this Wickedly Smart book."-Alfred Raouf, Web Solution Developer, Kemety.Net"The Sun Certification exam was certainly no walk in the park but Kathy's material allowed me to not only pass the exam, but Ace it "--Mary Whetsel, Sr. Technology Specialist, Application Strategy and Integration, The St. Paul Companies

    Cameron Webb’s brief but biting assault on the wide spectrum of religiosity that dominates 21st century America, from the hateful and anti-intellectual dogma of the Christian Right to the whitewashed progressivism of religious moderates. It is also a fascinating and humbling journey into the heart of the universe's most mind-numbing wonders.Drawing on recent insights from cosmology and evolution, Despicable Meme paints a vivid portrait of a cosmos unlike anything ever imagined by the provincial, human-centered faiths of the past – a universe of countless worlds spread across unfathomable distances and times, and where, on at least one of those worlds, the slow march of time would combine with the purposeless mechanisms of chemistry and physics to create a being capable of believing that he alone is the reason for it all.With piercing intelligence and candor, Despicable Meme exposes the folly of that conceit and dispenses with the widespread but utterly improbable notion of a personal creator. But it saves its harshest criticism for the vapid accommodationism of religious liberals, those who unknowingly or uncaringly give cover to the misogynistic, racist, homophobic paranoia of the fanatics by refusing to condemn, or quietly tolerating, the outlandish and immoral doctrines that lie festering at the center of their own “moderate” faiths.Despicable Meme is not only a blistering condemnation of radical fundamentalism, it is an impassioned appeal to the rest of us to once and for all abandon the superstitions of the religion we were raised in and embrace the beauty of an endlessly wondrous, but godless, universe.Show less

    Astonishing and unforgettable, this is a captivating story about the effects of abuse on the mind of a child, the heart wrenching struggles of an impoverished family, and how a young girl strives and dreams for something better. Born in the Philippines in the 1960s, Xulli is the first child of many. By the time she is four, she is taking care of three other siblings with both her mother and father working. In the beginning things were difficult but not desperate. But then life turns exceedingly ugly when her father begins binging on gin, spending nearly every penny he earns on his addiction and leaving his family on the brink of starvation on a daily basis. The alcohol makes her abusive father mean. And very violent. At first, his anger is mostly directed at her mother, but after a particularly nasty beating, she flees for her life, leaving the children with him. Her father then turns his attention to Xulli and her siblings. Cruelly, he tries to teach the youngest ones that they don’t need their mother or milk by putting hot peppers on the nipples of their bottles. With her mother missing, Xulli must find a way to protect her siblings from their father and provide for their needs. Eventually her mother returns and the abusive cycle continues. Plagued by death, loss, and periods of starvation, Xulli struggles to provide for her siblings, when she is just a child herself. Even through many horrible experiences and extraordinary challenges, her spirit shines, never giving up hope. Demonstrating an extraordinary resiliency to survive against all odds, Xulli inspires us as she finds the courage to succeed in her own life. A note from the author: “I have written this book to raise awareness of the wide spread domestic violence and child abuse that is so prevalent in the Filipino culture. All too often children in the Philippines are robbed of their basic human rights to an education because they have to become parents to their siblings or have been sold for money. Through my writing and work, it is my passionate goal to help stop domestic violence and child abuse by educating the very young as well as adults about the effects of physical, emotional, and mental abuse, and show those in need how and where to seek help.” Victoria Mulato Note: When you order a copy of Sister Moon of the Philippines, a percentage of the proceeds from the sale of this book will be donated to organizations that are working to preventing child abuse.

    Designed for the student of experimental physics who does not intend to take more advanced graduate courses in theoretical physics, the material consists of notes on the third of a three-semester course given at the California Institute of Technology.

    In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    . . in which Sydney Padua transforms one of the most compelling scientific collaborations into a hilarious series of adventures. Meet Victorian London’s most dynamic duo: Charles Babbage, the unrealized inventor of the computer, and his accomplice, Ada, Countess of Lovelace, the peculiar protoprogrammer and daughter of Lord Byron. When Lovelace translated a description of Babbage’s plans for an enormous mechanical calculating machine in 1842, she added annotations three times longer than the original work. Her footnotes contained the first appearance of the general computing theory, a hundred years before an actual computer was built. Sadly, Lovelace died of cancer a decade after publishing the paper, and Babbage never built any of his machines. But do not despair! The Thrilling Adventures of Lovelace and Babbage presents a rollicking alternate reality in which Lovelace and Babbage do build the Difference Engine and then use it to build runaway economic models, battle the scourge of spelling errors, explore the wilder realms of mathematics, and, of course, fight crime—for the sake of both London and science. Complete with extensive footnotes that rival those penned by Lovelace herself, historical curiosities, and never-before-seen diagrams of Babbage’s mechanical, steam-powered computer, The Thrilling Adventures of Lovelace and Babbage is wonderfully whimsical, utterly unusual, and, above all, entirely irresistible.(With black-and-white illustrations throughout.)

    From Mary, Queen of Scots, trapped by her own code, to the Navajo Code Talkers who helped the Allies win World War II, to the incredible (and incredibly simple) logisitical breakthrough that made Internet commerce secure, The Code Book tells the story of the most powerful intellectual weapon ever known: secrecy.Throughout the text are clear technical and mathematical explanations, and portraits of the remarkable personalities who wrote and broke the world’s most difficult codes. Accessible, compelling, and remarkably far-reaching, this book will forever alter your view of history and what drives it. It will also make you wonder how private that e-mail you just sent really is.

    "This book will change the outlook of those who read it." - Murali Vijay, Indian Cricketer "This book changed the way I looked at vacation planning and...I only wish that I had access to it at the start of my career." - Muthu Krishnan From the Author This step by step guide to your version of the Rich Life includes: - How your attitude toward money should move over from 'past looking' to 'future focusing' -How to find mistake fares to Europe, Pacific and Far East and make that extended 4-day weekend, Thai trip for under 10k INR - Years of research resulting in 40 resources of 'free and cheap accommodations' for vacations - Tried-and-tested scripts to negotiate down credit card, Dish TV, Phone and Internet Bills - How credit cards can help you lower home-loan payments - How to setup the cashflow, so that you can make Diwali, Birthdays and other repetitive expenditures, a breeze - How to make big purchases like a home or a car - a walk in the park - How to invest for your retirement with peanut money now - Enjoy guilt-free irrational spending while also being responsible over the future - Automate every part of your money-life If you are in a 9-5 and are even part-disgruntled, Gamechanger is going to be the turning point of your life

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.