Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
Download or read book Prove Physics Second Edition written by Balungi Francis and published by Blurb. This book was released on 2021-10-22 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since high school, I have been rebellious to how physics derivations are presented with difficult and confusing mathematical tools. I am not used to deriving physics laws using the same mathematical tools that our forefathers of physics used (the same found in various physics text books), which I find not only confusing to me but to the entire scientific community who are categorized as the "Silent Majority". I try so much to tackle the problem from a different perspective without using calculus or differential geometry. I use basic math with simple algebra to arrive at the required proof. This book is the culmination of nearly fifteen years of work that I have done to develop this derivation method. I had never expected it would take anything like as long, but I have discovered vastly more than I ever thought possible, and in fact what I have done now touches almost every existing problem in physics. In the early years, I published some papers in the major scientific research journals which were well received but because they had become scattered, I resolved just to keep working quietly until I had finished, and was ready to present everything in a single coherent way. Two years later this book is the result. And with it my hope is to share what I have done with a wide range of scientists and non-scientists as possible. And now that I have finished building the intellectual structure that I describe in this book, it is my hope that those who read these words can share in the excitement I have had in making the discoveries that were involved. In this book you will learn to derive all the known laws of physics from first principles in your own way and fashion not taught in schools and colleges. "Science should be fun"
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Download or read book Mathematical Physics written by Sadri Hassani and published by Springer Science & Business Media. This book was released on 2002-02-08 with total page 1052 pages. Available in PDF, EPUB and Kindle. Book excerpt: For physics students interested in the mathematics they use, and for math students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation strikes a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained.
Download or read book Elements of Solid State Physics written by Michael N. Rudden and published by John Wiley & Sons. This book was released on 1993-06-07 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elements of Solid State Physics Second Edition M. N. Rudden and J. Wilson University of Northumbria at Newcastle, Newcastle upon Tyne, UK This textbook provides a basic introduction to the principles of solid state physics and semiconductor devices and will prove essential for first and second year students of physics, materials science and electrical/electronic engineering courses. It assumes no prior knowledge of quantum or statistical mechanics and relies on simple models to illustrate the physical principles. However, the opportunity has been taken in this edition to extend the concept of energy bands to a consideration of E--k curves, and certain new material has been added, notably relating to superconductivity and optoelectronic devices, including lasers, following significant developments in these areas. Elements of Solid State Physics, Second Edition, presents the student with an essentially non-mathematical approach to the subject. Arranged in a logical sequence with many clear illustrations, each chapter has a number of worked examples and discussion points, as well as questions and answers. Readers of this fully revised and updated edition will receive a thorough grounding in the principles of solid state physics and should have sufficient knowledge about modern electronic devices to proceed to more advanced texts in this area. Main Contents: Some Aspects of Modern Physics; Structure of Crystalline Solids; Theories of Conduction and Magnetism; Energy Bands in Solids; Quantum Theory of Conduction; Semiconductor Devices.
Download or read book Theoretical Nuclear And Subnuclear Physics Second Edition written by John Dirk Walecka and published by World Scientific Publishing Company. This book was released on 2004-09-29 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a revised and updated version of the most comprehensive text on nuclear and subnuclear physics, first published in 1995. It maintains the original goal of providing a clear, logical, in-depth, and unifying treatment of modern nuclear theory, ranging from the nonrelativistic many-body problem to the standard model of the strong, electromagnetic, and weak interactions. In addition, new chapters on the theoretical and experimental advances made in nuclear and subnuclear physics in the past decade have been incorporated.Four key topics are emphasized: basic nuclear structure, the relativistic nuclear many-body problem, strong-coupling QCD, and electroweak interactions with nuclei. New chapters have been added on the many-particle shell model, effective field theory, density functional theory, heavy-ion reactions and quark-gluon plasma, neutrinos, and electron scattering.This book is designed to provide graduate students with a basic understanding of modern nuclear and hadronic physics needed to explore the frontiers of the field. Researchers will benefit from the updates on developments and the bibliography.
Download or read book Geometry Topology and Physics Second Edition written by Mikio Nakahara and published by CRC Press. This book was released on 2003-06-04 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Download or read book The Complete Idiot s Guide to Physics written by Johnnie T. Dennis and published by Penguin. This book was released on 2003 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for high school and college students required to take at least one physics course, this book offers an easy-to-understand, comprehensive companion to their school textbooks that brings real-world relevance, and even a touch of fun, to Einstein's favorite subject.
Download or read book An Introduction to Nuclear Physics written by W. N. Cottingham and published by Cambridge University Press. This book was released on 2001-02-22 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and concise introduction to nuclear physics suitable for a core undergraduate physics course.
Download or read book Physics written by Eugene Hecht and published by Brooks/Cole Publishing Company. This book was released on 2000 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hecht brings to bear the perspective of both historical concepts and contemporary physics. While the text covers the standard range of material from kinematics to quantum physics, Hecht has carefully limited the math required to basic calculus and very basic vector analysis. He omits obscure, high-level topics while focusing on helping students understand the fundamental concepts of modern-day physics. Calculus and vector analysis are both painstakingly developed as tools, and then used only insofar as they illuminate the physics. Hecht deliberately paces comfortably, justifies where each topic is going, stops to take stock of where the students have been, and points out the marvelous unity of the discourse. Informed by a 20th century perspective and a commitment to providing a conceptual overview of the discipline, Hecht's CALCULUS 2/e keeps students involved and focused.
Download or read book Physics for Mathematicians written by Michael Spivak and published by . This book was released on 2010 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometry Topology and Physics written by Mikio Nakahara and published by Taylor & Francis. This book was released on 2018-10-03 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics, Second Edition introduces the ideas and techniques of differential geometry and topology at a level suitable for postgraduate students and researchers in these fields. The second edition of this popular and established text incorporates a number of changes designed to meet the needs of the reader and reflect the development of the subject. The book features a considerably expanded first chapter, reviewing aspects of path integral quantization and gauge theories. Chapter 2 introduces the mathematical concepts of maps, vector spaces, and topology. The following chapters focus on more elaborate concepts in geometry and topology and discuss the application of these concepts to liquid crystals, superfluid helium, general relativity, and bosonic string theory. Later chapters unify geometry and topology, exploring fiber bundles, characteristic classes, and index theorems. New to this second edition is the proof of the index theorem in terms of supersymmetric quantum mechanics. The final two chapters are devoted to the most fascinating applications of geometry and topology in contemporary physics, namely the study of anomalies in gauge field theories and the analysis of Polakov's bosonic string theory from the geometrical point of view. Geometry, Topology and Physics, Second Edition is an ideal introduction to differential geometry and topology for postgraduate students and researchers in theoretical and mathematical physics.
Download or read book Mathematical Physics written by Donald H. Menzel and published by Courier Corporation. This book was released on 2012-05-23 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Useful treatment of classical mechanics, electromagnetic theory, and relativity includes explanations of function theory, vectors, matrices, dyadics, tensors, partial differential equations, other advanced mathematical techniques. Nearly 200 problems with answers.
Download or read book The World of Physics 2nd Edition written by John Avison and published by Nelson Thornes. This book was released on 2014-11 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and easy to follow textbook including material on forces, machines, motion, properties of matter, electronics and energy, problem-solving investigations and practice in experimental design.
Download or read book Prove Physics written by Balungi Francis and published by . This book was released on 2020-04-03 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was developed, Newton's law of gravitation and many other laws of physics cannot be derived from one grand underlying principle. Deriving Newton's law of gravitation or Einstein general relativity theory, would mean that gravity emerges from something else and that would mean that the only known Newton's law of universal gravity is no longer a fundamental law of physics.Although this might be true, I believe that everything must have an origin. I believe that there is a fundamental universal physical law from which all other known physical laws can be deduced. I also believe that the laws of physics are not picked at random but there exists an underlying principle from which they can be derived with ease. Failure for some minds to grasp this principle doesn't mean that it doesn't exist. Because I was used to deriving and proving formulae in pure math, I didn't like the way the laws of physics were presented to me without proof. A physics tutor would just write down a set of physical laws without proof. There are so many physics books which still do the same thing.Being curious and passionate to finding out how I could derive all the laws of physics from one single equation is proof that this book would have never existed in the first place if had not discovered the hidden principle that underlies all physics.
Download or read book Mathematical Physics written by Bruce R. Kusse and published by John Wiley & Sons. This book was released on 2010-01-05 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: What sets this volume apart from other mathematics texts is its emphasis on mathematical tools commonly used by scientists and engineers to solve real-world problems. Using a unique approach, it covers intermediate and advanced material in a manner appropriate for undergraduate students. Based on author Bruce Kusse's course at the Department of Applied and Engineering Physics at Cornell University, Mathematical Physics begins with essentials such as vector and tensor algebra, curvilinear coordinate systems, complex variables, Fourier series, Fourier and Laplace transforms, differential and integral equations, and solutions to Laplace's equations. The book moves on to explain complex topics that often fall through the cracks in undergraduate programs, including the Dirac delta-function, multivalued complex functions using branch cuts, branch points and Riemann sheets, contravariant and covariant tensors, and an introduction to group theory. This expanded second edition contains a new appendix on the calculus of variation -- a valuable addition to the already superb collection of topics on offer. This is an ideal text for upper-level undergraduates in physics, applied physics, physical chemistry, biophysics, and all areas of engineering. It allows physics professors to prepare students for a wide range of employment in science and engineering and makes an excellent reference for scientists and engineers in industry. Worked out examples appear throughout the book and exercises follow every chapter. Solutions to the odd-numbered exercises are available for lecturers at www.wiley-vch.de/textbooks/.
Download or read book What Is Real written by Adam Becker and published by Basic Books. This book was released on 2018-03-20 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A thorough, illuminating exploration of the most consequential controversy raging in modern science." --New York Times Book Review An Editor's Choice, New York Times Book Review Longlisted for PEN/E.O. Wilson Prize for Literary Science Writing Longlisted for Goodreads Choice Award Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's solipsistic and poorly reasoned Copenhagen interpretation. Indeed, questioning it has long meant professional ruin, yet some daring physicists, such as John Bell, David Bohm, and Hugh Everett, persisted in seeking the true meaning of quantum mechanics. What Is Real? is the gripping story of this battle of ideas and the courageous scientists who dared to stand up for truth. "An excellent, accessible account." --Wall Street Journal "Splendid. . . . Deeply detailed research, accompanied by charming anecdotes about the scientists." --Washington Post
