Book picks similar to
An Introduction to Hilbert Space and Quantum Logic by David William Cohen
mathematics
46-functional-analysis
mmath
quantum-mechanics-mathematics
Imagining the Tenth Dimension: A New Way of Thinking about Time and Space
Rob Bryanton - 2006
Ten dimensions? Most of us have barely gotten used to the idea that there are four.Using simple geometry and an easygoing writing style, author Rob Bryanton starts with the lower dimensions that we are all familiar with, then uses those concepts to build one layer upon another, ultimately arriving at a way of imagining the tenth dimension.Part scientific exploration, part philosophy, this unique book touches upon such diverse topics as dark matter, Feynman's "sum over paths", the quantum observer, and the soul. It is aimed at anyone interested in leading-edge theories about cosmology and the nature of reality, but it is not about mainstream physics. Rather, Imagining the Tenth Dimension is a mind-expanding exercise that could change the way you view this incredible universe in which we live.
An Introduction To Quantum Field Theory
Michael E. Peskin - 1994
The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Field and Wave Electromagnetics
David K. Cheng - 1982
These include applications drawn from important new areas of technology such as optical fibers, radome design, satellite communication, and microstrip lines. There is also added coverage of several new topics, including Hall effect, radar equation and scattering cross section, transients in transmission lines, waveguides and circular cavity resonators, wave propagation in the ionosphere, and helical antennas. New exercises, new problems, and many worked-out examples make this complex material more accessible to students.
On Gravity: A Brief Tour of a Weighty Subject
Anthony Zee - 2018
From the months each of us spent suspended in the womb anticipating birth to the moments when we wait for sleep to transport us to other realities, we are always aware of gravity. In On Gravity, physicist A. Zee combines profound depth with incisive accessibility to take us on an original and compelling tour of Einstein's general theory of relativity.Inspired by Einstein's audacious suggestion that spacetime could ripple, Zee begins with the stunning discovery of gravity waves. He goes on to explain how gravity can be understood in comparison to other classical field theories, presents the idea of curved spacetime and the action principle, and explores cutting-edge topics, including black holes and Hawking radiation. Zee travels as far as the theory reaches, leaving us with tantalizing hints of the utterly unknown, from the intransigence of quantum gravity to the mysteries of dark matter and energy.Concise and precise, and infused with Zee's signature warmth and freshness of style, On Gravity opens a unique pathway to comprehending relativity and gaining deep insight into gravity, spacetime, and the workings of the universe.
Footballistics
James Coventry - 2018
The nature of football continually changes, which means its analysis must also keep pace. This book is for students, thinkers, and theorists of the game.'Ted Hopkins - Carlton premiership player, author, and co-founder of Champion Data. Australian Rules football has been described as the most data-rich sport on Earth. Every time and everywhere an AFL side takes to the field, it is shadowed by an army of statisticians and number crunchers. The information they gather has become the sport's new language and currency. ABC journalist James Coventry, author of the acclaimed Time and Space, has joined forces with a group of razor-sharp analysts to decipher the data, and to use it to question some of football's long-held truisms. Do umpires really favour the home side? Has goal kicking accuracy deteriorated? Is Geelong the true master of the draft? Are blonds unfairly favoured in Brownlow medal voting? And are Victorians the most passionate fans? Through a blend of entertaining storytelling and expert analysis, this book will answer more questions about footy than you ever thought to ask. Praise for Time and Space:'Brilliant, masterful' - The Guardian'Arguably one of the most important books yet written on Australian Rules football.' - Inside History'Should find its way into the hands of every coach.' - AFL Record
What If? Serious Scientific Answers to Absurd Hypothetical Questions
Randall Munroe - 2014
It now has 600,000 to a million page hits daily. Every now and then, Munroe would get emails asking him to arbitrate a science debate. 'My friend and I were arguing about what would happen if a bullet got struck by lightning, and we agreed that you should resolve it . . . ' He liked these questions so much that he started up What If. If your cells suddenly lost the power to divide, how long would you survive? How dangerous is it, really, to be in a swimming pool in a thunderstorm? If we hooked turbines to people exercising in gyms, how much power could we produce? What if everyone only had one soulmate?When (if ever) did the sun go down on the British empire? How fast can you hit a speed bump while driving and live?What would happen if the moon went away?In pursuit of answers, Munroe runs computer simulations, pores over stacks of declassified military research memos, solves differential equations, and consults with nuclear reactor operators. His responses are masterpieces of clarity and hilarity, studded with memorable cartoons and infographics. They often predict the complete annihilation of humankind, or at least a really big explosion. Far more than a book for geeks, WHAT IF: Serious Scientific Answers to Absurd Hypothetical Questions explains the laws of science in operation in a way that every intelligent reader will enjoy and feel much the smarter for having read.
The Fabulous Fibonacci Numbers
Alfred S. Posamentier - 2007
In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.
The Universe Within: From Quantum to Cosmos
Neil Turok - 2012
Every technology we rely on today was created by the human mind, seeking to understand the universe around us. Scientific knowledge is our most precious possession, and our future will be shaped by the breakthroughs to come. In this personal and fascinating work, Neil Turok, Director of the Perimeter Institute for Theoretical Physics, explores the transformative scientific discoveries of the past three centuries -- from classical mechanics, to the nature of light, to the bizarre world of the quantum, and the evolution of the cosmos. Each new discovery has, over time, yielded new technologies causing paradigm shifts in the organization of society. Now, he argues, we are on the cusp of another major transformation: the coming quantum revolution that will supplant our current, dissatisfying digital age. Facing this brave new world, Turok calls for creatively re-inventing the way advanced knowledge is developed and shared, and opening access to the vast, untapped pools of intellectual talent in the developing world. Scientific research, training, and outreach are vital to our future economy, as well as powerful forces for peaceful global progress.
101 Quantum Questions: What You Need to Know about the World You Can't See
Kenneth W. Ford - 2011
These fundamental concepts provide the structure for 101 Quantum Questions, an authoritative yet engaging book for the general reader in which every question and answer brings out one or more basic features of the mysterious world of the quantum--the physics of the very small. Nuclear researcher and master teacher, Ford covers everything from quarks, quantum jumps, and what causes stars to shine, to practical applications ranging from lasers and superconductors to light-emitting diodes. Ford's lively answers are enriched by Paul Hewitt's drawings, numerous photos of physicists, and anecdotes, many from Ford's own experience. Organized for cover-to-cover reading, 101 Quantum Questions also is great for browsing. Some books focus on a single subject such as the standard model of particles, or string theory, or fusion energy. This book touches all those topics and more, showing us that disparate natural phenomena, as well as a host of manmade inventions, can be understood in terms of a few key ideas.
Zero: The Biography of a Dangerous Idea
Charles Seife - 2000
For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.
Everything and More: A Compact History of Infinity
David Foster Wallace - 2003
Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.
The Magic Square - Tricking Your Way to Mental Superpowers (Faking Smart Book 3)
Lewis Smile - 2012
Perform this genius seemingly-mathematical feat on any napkin, any receipt, or even on your friend's arm.You can learn the famous Magic Square, and you can learn it in under 10 minutes.You will have a magician's Grand Finale, in your hands at any moment. This gets audible gasps, and you can wow people with this for the rest of your life...**************************THE PERFORMANCE:**************************Your friend will name a random number. You then speedily write 16 different numbers into a 4x4 grid. With a smug flourish, you then reveal that all combinations and directions within the grid add up to their chosen number. It is simply mind-blowing.Effortlessly perform a trick that it seems only a computer could perform, and learn how in 10 minutes from right now.
37 Years' Chapterwise Solved Papers (2015-1979) IIT JEE Physics
D.C. Pandey - 2014
It takes hours of hard work and one needs to be very dedicated & focused in order to do well in the exams. Every year a large number of students dream of getting into IITs, the premier engineering institutes of our country, but only the ones with thorough preparation and determination succeed in getting admission in undergraduate engineering programs at IITs. Getting into an IIT is all about practice and with this best selling resource from Arihant students preparing for JEE Main & Advanced can get themselves perfected and have an upper edge over other students. The present book for JEE Main and Advanced Physics has been divided into 17 Chapters namely, General Physics, Kinematics, Laws of Motion, Work, Power & Energy, Centre of Mass, Rotation, Gravitation, Simple Harmonic Motion, Properties of Matter, Wave Motion, Heat & Thermodynamics, Optics, Current Electricity, Electrostatics, Magnetics, Electromagnetic Induction & Alternating Current and Modern Physics, according to the syllabi of the entrance examination. This specialized book contains last 37 Years’ (1979-2015) Chapterwise Solved Questions of IIT JEE Physics along with previous years’ solved papers of IIT JEE and JEE Main & Advanced. The entire syllabus of Class 11th and 12th has been dealt with comprehensively in this book. Also all the previous years’ questions along with their authentic & accurate solutions have been covered chapterwise and Topicwise in this book. Also wherever required necessary study material required for comprehensive understanding has been included in each chapter. Solved Paper 2015 JEE Advanced has also been included to help aspirants get an insight into the current pattern of the examination. As the book contains ample number of previous solved questions and relevant theoretical content, it for sure will help the aspirants score higher in the upcoming JEE Main and Advanced Entrance Examination 2016.
Quantum Creativity: Think Quantum, Be Creative
Amit Goswami - 1998
Goswami uses this same duality to explore what he calls “quantum thinking,” which focuses on two levels of thinking—the conscious mind of actuality and the unconscious mind of possibility. He then poses questions that probe the wellspring of creation that exists in each of us. What is creativity? Can anyone be creative? What kinds of creativity are there? And through this inquiry, he lays out a guidebook for understanding the power of the mind to access creativity in a whole new way. Combining the art of creativity with the objectivity of science, Quantum Creativity uses empirical data to support this new method of thinking and outlines how to harness our innate abilities in order to live more creatively. In short, Goswami teaches you how to think quantum to be creative.