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Mathematics For Physicists

Author: Philippe Dennery
Publisher: Courier Corporation
ISBN: 0486157121
Size: 50.86 MB
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Superb text provides math needed to understand today's more advanced topics in physics and engineering. Theory of functions of a complex variable, linear vector spaces, much more. Problems. 1967 edition.

The Statistical Foundations Of Entropy

Author: Ramshaw John D
Publisher: World Scientific
ISBN: 9813234148
Size: 45.82 MB
Format: PDF, Kindle
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This book presents an innovative unified approach to the statistical foundations of entropy and the fundamentals of equilibrium statistical mechanics. These intimately related subjects are often developed in a fragmented historical manner which obscures the essential simplicity of their logical structure. In contrast, this book critically reassesses and systematically reorganizes the basic concepts into a simpler sequential framework which reveals more clearly their logical relationships. The inherent indistinguishability of identical particles is emphasized, and the resulting unification of classical and quantum statistics is discussed in detail. The discussion is focused entirely on fundamental concepts, so applications are omitted. The book is written at the advanced undergraduate or beginning graduate level, and will be useful as a concise supplement to conventional books and courses in statistical mechanics, thermal physics, and thermodynamics. It is also suitable for self-study by those seeking a deeper and more detailed analysis of the fundamentals. Contents: IntroductionFundamentalsThe Hypothesis of Equal a priori ProbabilitiesConstraintsThe Principle of Maximum EntropyThermodynamic SystemsThe Canonical and Grand Canonical Probability DistributionsMany-Particle SystemsIdentical Particles Are Inherently Indistinguishable Readership: Advanced undergraduate and graduate students, and researchers in statistical physics. Keywords: Entropy;Statistical Mechanics;Statistical Physics;Thermal Physics;Thermodynamics;Information Theory;Probability;Statistics;Fluctuations;Uncertainty;Maximum Entropy;MaxEnt;Indistinguishability;Canonical;Grand Canonical;Boltzmann Distribution;Fermi-Dirac;Bose-Einstein;Gibbs;Boltzmann;JaynesReview: Key Features: The sequential logical structure of the treatment, in which each level naturally follows from and builds upon the previous levels; concepts are not introduced until they are neededDespite brevity (made possible by omitting applications), the fundamental concepts are discussed in greater depth, detail, and generality than is usual in much larger and more expensive booksDiscusses and explains in detail the inherent indistinguishability of identical particles in both classical and quantum mechanics, correcting the misconception to the contrary widespread in most other books, thus unifying classical and quantum statistics within a single general framework

The Feynman Lectures On Physics

Author: Richard P. Feynman
Publisher: Basic Books
ISBN: 0465040853
Size: 19.93 MB
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“The whole thing was basically an experiment,” Richard Feynman said late in his career, looking back on the origins of his lectures. The experiment turned out to be hugely successful, spawning publications that have remained definitive and introductory to physics for decades. Ranging from the basic principles of Newtonian physics through such formidable theories as general relativity and quantum mechanics, Feynman's lectures stand as a monument of clear exposition and deep insight. Timeless and collectible, the lectures are essential reading, not just for students of physics but for anyone seeking an introduction to the field from the inimitable Feynman.

A Most Incomprehensible Thing

Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389469
Size: 28.26 MB
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A clear and enjoyable guide to the mathematics of relativity To really understand relativity – one of the cornerstones of modern physics – you have to get to grips with the mathematics. 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. March 2017. 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.

Quantum Mechanics A Textbook For Undergraduates

Author: MAHESH C. JAIN
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120353382
Size: 69.63 MB
Format: PDF, Kindle
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Primarily intended for the undergraduate students of physics, the book, in its second edition, apprises the students with the fundamentals of quantum mechanics. While retaining the same flow of contents and distinguishing features of the previous edition, the book now encompasses a number of modifications and additions. The author sets out with Planck’s quantum hypothesis and takes the students along through the new concepts and ideas, providing an easy-to-understand description of core quantum concepts and basic mathematical structures. The fundamental principles and the mathematical formalism introduced are amply illustrated through a number of solved examples. Chapter-end exercises and review questions, generally designed as per the examination pattern, serve to reinforce the material learnt. Chapter-end summaries capture the key points discussed in the text. NEW TO THE SECOND EDITION • Incorporates detailed historical introduction to quantum mechanics • Comprises new sections on Time Variation of the Expectation Value of An Observable and Ehrenfest’s Theorem in the respective chapter • Includes several new numerical problems as well as solutions/hints to the existing exercise problems

Mathematics For Physics An Illustrated Handbook

Author: Marsh Adam
Publisher: World Scientific
ISBN: 9813233931
Size: 56.12 MB
Format: PDF
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This unique book complements traditional textbooks by providing a visual yet rigorous survey of the mathematics used in theoretical physics beyond that typically covered in undergraduate math and physics courses. The exposition is pedagogical but compact, and the emphasis is on defining and visualizing concepts and relationships between them, as well as listing common confusions, alternative notations and jargon, and relevant facts and theorems. Special attention is given to detailed figures and geometric viewpoints. Certain topics which are well covered in textbooks, such as historical motivations, proofs and derivations, and tools for practical calculations, are avoided. The primary physical models targeted are general relativity, spinors, and gauge theories, with notable chapters on Riemannian geometry, Clifford algebras, and fiber bundles. Contents: Mathematical StructuresAbstract AlgebraVector AlgebrasTopological SpacesAlgebraic TopologyManifoldsLie GroupsClifford GroupsRiemannian ManifoldsFiber BundlesCategories and Functors Readership: Students in mathematics and physics who want to explore a level deeper into actual mathematical content. Keywords: Gauge Theory;Spinor;Clifford Algebra;Homology;Homotopy;Differential Geometry;Lie Group;Lie Algebra;Pauli Matrix;Dirac Matrix;Riemannian Geometry;Parallel Transport;Ricci Curvature;Divergence;Ehresmann ConnectionReview: Key Features: The approach taken by this book to the subject material differs from other titles in that it is intuitive and visual yet also mathematically rigorous, allowing concise coverage of a large breadth of material and providing a cross-subject synthesis while at the same time serving as a useful referenceThe book is also unique in that it can be used in three ways: as the basis for a course, as a supporting text for related courses, and as a reference. These uses could apply to both undergraduate and graduate students. In addition, there is a substantial audience for the book among independent researchers, amateur physicists, and readers of popular science who want to explore a level deeper into actual mathematical contentThe treatments of Riemannian geometry, Clifford algebras, and fiber bundles are particularly notable, including detailed figures and geometric viewpoints that would seem to be novel to the literature

Surely You Re Joking Mr Feynman Adventures Of A Curious Character

Author: Richard P. Feynman
Publisher: W. W. Norton & Company
ISBN: 0393355683
Size: 15.21 MB
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One of the most famous science books of our time, the phenomenal national bestseller that "buzzes with energy, anecdote and life. It almost makes you want to become a physicist" (Science Digest). Richard P. Feynman, winner of the Nobel Prize in physics, thrived on outrageous adventures. In this lively work that “can shatter the stereotype of the stuffy scientist” (Detroit Free Press), Feynman recounts his experiences trading ideas on atomic physics with Einstein and cracking the uncrackable safes guarding the most deeply held nuclear secrets—and much more of an eyebrow-raising nature. In his stories, Feynman’s life shines through in all its eccentric glory—a combustible mixture of high intelligence, unlimited curiosity, and raging chutzpah. Included for this edition is a new introduction by Bill Gates.

Understanding The Universe

Author: Don Lincoln
Publisher: World Scientific
ISBN: 9814458058
Size: 40.91 MB
Format: PDF
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The Big Bang, the birth of the universe, was a singular event. All of the matter of the universe was concentrated at a single point, with temperatures so high that even the familiar protons and neutrons of atoms did not yet exist, but rather were replaced by a swirling maelstrom of energy, matter and antimatter. Exotic quarks and leptons flickered briefly into existence, before merging back into the energy sea. This book explains the fascinating world of quarks and leptons and the forces that govern their behavior. Told from an experimental physicist's perspective, it forgoes mathematical complexity, using instead particularly accessible figures and apt analogies. In addition to the story of quarks and leptons, which are regarded as well-accepted fact, the author (who is a leading researcher at one of the world's highest energy particle physics laboratories) also discusses mysteries at both the experimental and theoretical frontiers, before tying it all together with the exciting field of cosmology and indeed the birth of the universe itself. The text spans the tiny world of the quark to the depths of the universe with breathtaking clarity. The casual student of science will appreciate the careful distinction between what is known (quarks, leptons and antimatter), what is suspected (Higgs bosons, neutrino oscillations and the reason why the universe has so little antimatter) and what is merely dreamed (supersymmetry, superstrings and extra dimensions). Included is an unprecedented chapter explaining the accelerators and detectors of modern particle physics experiments. The chapter discussing the hunt for the Higgs boson — currently consuming the efforts of nearly 6000 physicists — reveals drama that only big-stakes science can give. Understanding the Universe leaves the reader with a deep appreciation of the fascinating particle realm and reverence for just how much it determines the rich beauty of our universe. Since the release of the first edition, the landscape has changed. The venerable Fermilab Tevatron has ceased operations after a quarter century of extraordinary performance, to be replaced by the CERN Large Hadron Collider, an accelerator with a design energy of seven times greater than the Tevatron and a collision rate of nearly a billion collisions per second. The next few years promise to be very exciting as scientists explore this new realm. This revised edition of Understanding the Universe will leave the reader with a deep appreciation of just why physicists are so excited. Contents:Early HistoryThe Path to Knowledge (History of Particle Physics)Quarks and LeptonsForces: What Holds It All TogetherHunting for the HiggsAccelerators and Detectors: Tools of the TradeNear Term MysteriesExotic Physics (The Next Frontier)Recreating the Universe 10,000,000 Times a SecondEpilogue: Why Do We Do It? Readership: Students, scientists and lay people. Keywords:Quarks;Leptons;Accelerators;UniverseReviews: “Lincoln has an infectious love for physics … (and) demonstrates a humorous writing style that successfully engages the reader.” Publishers Weekly “The author is well equipped to write a book on the topic … It is not light reading, but worth the effort … Lincoln is careful to distinguish between what is known versus what is merely dreamed.” Mensa Bulletin “A veteran of many popular talks on physics, (Lincoln) charmingly relates the tale of humankind's almost insatiable curiosity about the ultimate nature of nature and the quest to determine the basic particles of matter. His style is engaging and obviously directed to informed lay readers, but the more scientifically minded will find it equally appealing … If digested with the notion that this topic is presented in a broad swath, both historically and scientifically, and not meant to be definitive, the work offers readers an appreciation of the investigative procedure, the accumulated body of research, and the people who did the investigating.” Library Journal “Don Lincoln, an experimentalist on DZero at Fermilab, motivates his tale of the development of particle physics, from its origins to its current state, almost entirely by experiments, a refreshing alternative to the usual theoretical treatments. Rather than posing thought experiments, Lincoln describes real experiments that have led to deeper questions and the consequent progress of particle physics … With his light and easy-to-read style, Lincoln's humor and personal tales do much to convey the flavor of modern particle physics research — a picture that is not often painted so realistically in other popular physics books. The content is more complicated than in most similar books, but this is a virtue for its intended audience, as it allows for greater depth.” Symmetry “Knowledgeably written … ‘Understanding the Universe’ provides the nonspecialist general reader with a fascinating and informative introduction to the complex world of quarks, leptons, and the forces that govern particle physics. Written especially to introduce lay readers to subatomic mysteries, (the book) discusses the Big Bang, known and proven theories, suspected hypotheses that have yet to be firmly established, cutting-edge discussions of modern particle physics experiments, and much more. Black-and-white diagrams help illustrate the amazing ideas presented with a minimum of mathematics and a maximum of awe.” Midwest Book Review “Don Lincoln takes us on a rollicking tour of the universe: The reader finds out what we particle physicists understand about it, how we arrived at that understanding and where we think we're going next with our research … Lincoln enlivens the landscape with fresh details, irreverent (yet never unkind) remarks on the cast of characters, and explanations that are homey, humorous and often completely original … In his epilogue Lincoln addresses explicitly the question of why particle physicists ask why … the real reason we do research is simply this: It's tremendously fun to figure the universe out.” American Scientist “… Lincoln offers lay readers a complete tour of particle physics …(he) writes very well, using a mixture of humor, history and analogies as well basic scientific explanations … (and) does a particularly good job of covering the full gamut of particle physics.” Choice “This book is addressed to the curious layman, with only a murky recollection of school physics, who wants to know how far mankind has gone in understanding the world around us … It is an excellent reference for any scientist who is occasionally unsure how best to explain a particular physics concept to a non-specialist audience … his understanding and explanations of complex phenomena are excellent and the book strikes a balance between depth and accessibility.” CERN Courier “The author faces complex topics in a very simple and clever way without using mathematics but by simple (and suitable) analogies. The reading is intriguing and very flowing and, sometimes, very entertaining. The book is peppered with amusing anecdotes that make reading smoother and funny. This book is a masterpiece of scientific disclosure. I recommend its reading for those people who want to delve into the wonders of modern Physics.” Zentralblatt MATH

Fundamentals Of Physics

Author: R. Shankar
Publisher: Yale University Press
ISBN: 0300206798
Size: 12.62 MB
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DIVProfessor R. Shankar, a well-known physicist and contagiously enthusiastic educator, was among the first to offer a course through the innovative Open Yale Course program. His popular online video lectures on introductory physics have been viewed over a million times. In this concise and self-contained book based on his online Yale course, Shankar explains the fundamental concepts of physics from Galileo’s and Newton’s discoveries to the twentieth-century’s revolutionary ideas on relativity and quantum mechanics. The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. It provides an ideal introduction for college-level students of physics, chemistry, and engineering, for motivated AP Physics students, and for general readers interested in advances in the sciences./div