Spacetime Physics


Edwin F. Taylor - 1966
    Written by two of the field's true pioneers, Spacetime Physics can extend and enhance coverage of specialty relativity in the classroom. This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars.  The chapter on general relativity with new material on gravity waves, black holes, and cosmology.

Just Six Numbers: The Deep Forces That Shape the Universe


Martin J. Rees - 1999
    There are deep connections between stars and atoms, between the cosmos and the microworld. Just six numbers, imprinted in the "big bang," determine the essential features of our entire physical world. Moreover, cosmic evolution is astonishingly sensitive to the values of these numbers. If any one of them were "untuned," there could be no stars and no life. This realization offers a radically new perspective on our universe, our place in it, and the nature of physical laws.

Mathematical Analysis


Tom M. Apostol - 1957
    It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.

Mathematics of Classical and Quantum Physics


Frederick W. Byron Jr. - 1969
    Organized around the central concept of a vector space, the book includes numerous physical applications in the body of the text as well as many problems of a physical nature. It is also one of the purposes of this book to introduce the physicist to the language and style of mathematics as well as the content of those particular subjects with contemporary relevance in physics.Chapters 1 and 2 are devoted to the mathematics of classical physics. Chapters 3, 4 and 5 — the backbone of the book — cover the theory of vector spaces. Chapter 6 covers analytic function theory. In chapters 7, 8, and 9 the authors take up several important techniques of theoretical physics — the Green's function method of solving differential and partial differential equations, and the theory of integral equations. Chapter 10 introduces the theory of groups. The authors have included a large selection of problems at the end of each chapter, some illustrating or extending mathematical points, others stressing physical application of techniques developed in the text.Essentially self-contained, the book assumes only the standard undergraduate preparation in physics and mathematics, i.e. intermediate mechanics, electricity and magnetism, introductory quantum mechanics, advanced calculus and differential equations. The text may be easily adapted for a one-semester course at the graduate or advanced undergraduate level.

Euclid in the Rainforest: Discovering Universal Truth in Logic and Math


Joseph Mazur - 2004
    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

new pattern Physics


D.C. Pandey - 2014
    Not mere luck but mastery over the concepts is what contributes to the success. The revised edition of this specialized book by Arihant is a master practice book of Physics designed according to the examination pattern of JEE Main and Advanced containing more than 8000 questions helping the students in building their confidence for facing the JEE Exams. This master book has been divided into 23 chapters namely Laws of Motion, Rotation, Gravitation, Circular Motion, Wave Optics, Ray Optics, Electrostatics, Current Electricity, Communication System, Modern Physics, Waves, Kinematics 1, Electromagnetic Waves, Properties of Matter, etc. This is a Master Practice Book for Physics consisting of more than 6000 innovative objective problems like MCQs with Single Correct Option, Multiple Correct Options, Assertion-Reason, Linked Comprehension Based, Matrix Matching and Single Integer Answer Type, etc. The different types of objective questions sharpen the comprehension and analytical abilities in the students. Hints and step-by-step explanatory solutions have been provided for all the questions at the end of each chapter. A special section of Previous Yearsandrsquo; IIT JEE Questions with detailed solutions is provided at the end of the book. The book aims to make students learn in depth about the various concepts and subjects covered under the syllabi of physics for JEE Mains and Advanced Exam. As the book has been designed on the New Pattern of JEE Main andamp; Advanced and contains a large collection of new pattern based physics objective questions which may be asked in the upcoming exams, it for sure will help the aspirants climb the ladder of success in the upcoming JEE Main andamp; Advanced. Content 1.Experimental Skills and General Physics 2.Kinematics 3.Kinematics 4.Laws of Motion 5.Work, Power and E

Quantum Physics for Hippies


Lukas Neumeier - 2019
     Quantum Physics for Hippies shatters your perception of reality." - Dr. Mark Müller Bob, a spiritual hippie, meets the witty nerd Alice, who day-dreams about quantum physics all day long. This chance meeting starts them on a mind-blowing journey into the nature of reality that will change their lives forever. Written by quantum physicists and beautifully illustrated, Quantum Physics for Hippies takes the bizarre world of quantum physics and makes it understandable for everyone, hippies and nerds alike. Is this book for you? If you would love to know what quantum physics is really about, but complicated explanations or equations put you off, then this book is for you. Why? We found that there are two types of books about quantum physics. Type A is written by nerds. Usually, they have hundreds of pages, a lot of equations and bury you in useless details. They are mostly correct, but not fun to read. Type B is written by esoterics. They are easy to read, but often full of nonsense, not helping at all in your mission to find the truth. So we decided to write a new type of quantum physics book. Type Hippie-Nerd! Easy, fun to read and correct all at the same time, while still blowing your mind. Happy Readings!

Flow


Philip Ball - 2008
    It is the complex dynamics of flow that structures our atmosphere, land, and oceans.Part of a trilogy of books exploring the science of patterns in nature by acclaimed science writer Philip Ball, this volume explores the elusive rules that govern flow - the science of chaotic behavior.

A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity


Peter Collier - 2012
    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.

Not Even Wrong: The Failure of String Theory and the Search for Unity in Physical Law


Peter Woit - 2006
    In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

Numerical Methods for Scientists and Engineers


Richard Hamming - 1973
    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

Student Solutions Manual for Contemporary Abstract Algebra


Joseph A. Gallian - 2009
    Contains complete worked solutions to all regular exercises and computer exercises in the text; additional test questions and their solutions; an online laboratory manual for the computer algebra system GAP, with exercises tied to the book and an instructor answer key; and links on the author's website to true/false questions, flash cards, essays, software downloads, and other abstract algebra-related materials.

Fractals: Form, chance, and dimension


Benoît B. Mandelbrot - 1975
    

Conned Again, Watson: Cautionary Tales Of Logic, Math, And Probability


Colin Bruce - 2000
    In these cautionary tales of greedy gamblers, reckless businessmen, and ruthless con men, Sherlock Holmes uses his deep understanding of probability, statistics, decision theory, and game theory to solve crimes and protect the innocent. But it's not just the characters in these well-crafted stories that are deceived by statistics or fall prey to gambling fallacies. We all suffer from the results of poor decisions. In this illuminating collection, Bruce entertains while teaching us to avoid similar blunders. From "The Execution of Andrews" to "The Case of the Gambling Nobleman," there has never been a more exciting way to learn when to take a calculated risk-and how to spot a scam.

A Course of Pure Mathematics


G.H. Hardy - 1908
    Since its publication in 1908, it has been a classic work to which successive generations of budding mathematicians have turned at the beginning of their undergraduate courses. In its pages, Hardy combines the enthusiasm of a missionary with the rigor of a purist in his exposition of the fundamental ideas of the differential and integral calculus, of the properties of infinite series and of other topics involving the notion of limit.