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.

    We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

    He describes the architecture of space and time, dark matter and dark energy, how galaxies form, why stars implode, how everything began, and how it's all going to end. He considers parallel universes, the fine-tuning of the cosmos for life, what forms extraterrestrial life might take, and the likelihood of life on Earth being snuffed out by an asteroid.Beginning with the Babylonian integration of mathematics into the study of astronomy and cosmology, Stewart traces the evolution of our understanding of the cosmos: How Kepler's laws of planetary motion led Newton to formulate his theory of gravity. How, two centuries later, tiny irregularities in the motion of Mars inspired Einstein to devise his general theory of relativity. How, eighty years ago, the discovery that the universe is expanding led to the development of the Big Bang theory of its origins. How single-point origin and expansion led cosmologists to theorize new components of the universe, such as inflation, dark matter, and dark energy. But does inflation explain the structure of today's universe? Does dark matter actually exist? Could a scientific revolution that will challenge the long-held scientific orthodoxy and once again transform our understanding of the universe be on the way? In an exciting and engaging style, Calculating the Cosmos is a mathematical quest through the intricate realms of astronomy and cosmology.

    Thoroughly updated, this edition offers new, faster techniques for solving differential equations generated by the emergence of high-speed computers.

    Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.

    The Big Bang Cosmology is explored, looking at its observational successes in explaining the expansion of the Universe, the existence and properties of the cosmic microwave background, and the origin of light elements in the universe. Properties of the very early Universe are also covered, including the motivation for a rapid period of expansion known as cosmological inflation. The third edition brings this established undergraduate textbook up-to-date with the rapidly evolving observational situation. This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ideas about the early universe. It also incorporates up-to-date results from the Planck mission, which imaged the anisotropies of the Cosmic Microwave Background radiation over the whole sky. The Advanced Topic sections present subjects with more detailed mathematical approaches to give greater depth to discussions. Student problems with hints for solving them and numerical answers are embedded in the chapters to facilitate the reader's understanding and learning. Cosmology is now part of the core in many degree programs. This current, clear and concise introductory text is relevant to a wide range of astronomy programs worldwide and is essential reading for undergraduates and Masters students, as well as anyone starting research in cosmology.

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

    Fully stocked with solved problemsN950 of themNit shows you how to solve problems that may not have been fully explained in class. Plus you ge"

    Pure Substances, The First And Second Laws, Gases, Psychrometrics, The Vapor, Gas And Refrigeration Cycles, Heat Transfer, Compressible Flow, Chemical Reactions, Fuels, And More Are Presented In Detail And Enhanced With Practical Applications. This Version Presents The Material Using SI Units And Has Ample Material On SI Conversion, Steam Tables, And A Mollier Diagram. A CD-ROM, Included With The Print Version Of The Text, Includes A Fully Functional Version Of Quickfield (Widely Used In Industry), As Well As Numerous Demonstrations And Simulations With MATLAB, And Other Third Party Software.

    The quantum world doesn't play by those rules. Daniel Rice is a government science investigator whose specialty is solving seemingly intractable problems through scientific inquiry.But Daniel's intellectual strength is sorely tested by the bizarre realities he finds in the quantum world. Extra dimensions of space trap the unwary, probability replaces cause and effect, and time isn't what anyone imagined. The other side of the mirror is a place full of dangers, but it's also somewhere a dedicated scientist can uncover secrets that connect humans with something greater. If you liked the authenticity of The Martian, the page-turning pace of Da Vinci Code, and the inspirational world views of Arthur C. Clarke and Carl Sagan, you'll love The Quantum Series. A mind-bending journey from the ultra-small to the vast stage of the Milky Way. Acclaim for The Quantum Series Awarded the indieBRAG Medallion for 2018"Dazzling tale of weird science" - Publisher's Weekly"I can't recall when I last enjoyed a hard science series as much as this one. The concepts were astounding, the characters were easily believable, and the action emotionally driven. Very hard to put down. It kept me reading half the night. You'll be thinking about the far out science ideas promulgated in this series for a long time." - Chuck Juzek"A great story, no hatred, no evil people trying to destroy others, just a wonderful adventure with a fantastic outcome." - Ric Mannen"Fermi's Paradox is finally explained." - PE Gwinn"An exciting plot that kept me glued to my chair instead of mowing the lawn." - PE Gwinn"Probably one of the most entertaining and intellectually stimulating stories I've read in a long time... and I read a LOT!" - Jason Blackford"Great story that proves the universe is indeed full of magic!" - Rand"The protagonists have an almost poetic underpinning that had me rooting for their success." - J. Kareski"BTW, all three books show respect and admiration for women scientists as well as men." - Robin C."Mr. Phillips is the only person who explained quantum physics to me in a way that was not only understandable but entertaining." - Edward L. Heins

     After basic training these lads were sent directly into what was then called the battle for Stalingrad. What none of them knew then was that the average life expectancy of a new soldier in Stalingrad was 24-hours. Based on his words this story describes how this sailor-turned-soldier became one of Russia’s most revered sniper heroes. He became so infamous that Germany sent their own crack super-sniper to kill him. From Zaitsev’s sniper notebook we learn how he managed to stay alive and make some of his 242 confirmed kills. Zeitsev himself tells you exactly what his tricks and tactics of this deadly trade were that enabled him to be better than anyone else. Here’s this author’s description of what he said Stalingrad looked like when he first saw it as a greenhorn soldier: “The men were startled to see the city engulfed in flames. Zaitsev said it was like looking into the mouth of a spewing volcano while above this hellish cauldron layer after layer of German bombers including screaming Stuka dive bombers were feeding that fiery inferno. He could not even imagine that somewhere within that hell men were fighting a war… Vassili said that the city “looked like a smoldering and sulfurous hell, with burned-out buildings glowing like red coals, and fires consuming men and machines. Profiled against the glow of the fires were soldiers on the run. Were they theirs or ours? None of us could tell.” Better wear your asbestos gloves and flak jacket for this one because Vassili takes you right into the molten core of this blast furnace and tells you how he came out of it as the Soviet’s top ranking sniper hero of World War II

    If you've been searching for a basic text on how the atom works, this is it." --Booklist "A masterpiece."--OmniThe legendary Isaac Asimov starts what is perhaps the most fascinating of all his books with a simple query: how finely can a piece of matter be divided? But like many simple questions, this one leads us on a far-flung quest for a final answer, a search that becomes a series of beautifully structured building blocks of knowledge.It begins with the earliest speculations and investigations by the Greeks and Romans, and then, step by step and century by century, it traces the path of discovery that revealed more and more of the nature of the atom, of light, of gravity, of the electromagnetic force--and even the nature and structure of the universe.Atom also encompasses such phenomena as light and electricity; the protons, neutrons and quarks that are the fundamental units of the universe; hard-to-observe "anti-particles"; and other strange bits of matter that challenge our assumptions about the very nature of space and time.Atom is the only book of its kind, by the renowned author whose genius for bringing clarity and excitement to complex subjects has made him the most celebrated science author of our time.

    Since the publication of the First Edition over thirty years ago, Div, Grad, Curl, and All That has been widely renowned for its clear and concise coverage of vector calculus, helping science and engineering students gain a thorough understanding of gradient, curl, and Laplacian operators without required knowledge of advanced mathematics.

    This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    In First You Build a Cloud, K. C. Cole provides cogent explanations through animated prose, metaphors, and anecdotes, allowing us to comprehend the nuances of physics-gravity and light, color and shape, quarks and quasars, particles and stars, force and strength. We also come to see how the physical world is so deeply intertwined with the ways in which we think about culture, poetry, and philosophy. Cole, one of our preeminent science writers, serves as a guide into the world of such legendary scientific minds as Richard Feynman, Victor Weisskopf, brothers Frank Oppenheimer and J. Robert Oppenheimer, Philip Morrison, Vera Kistiakowsky, and Stephen Jay Gould.