Download or read book Comparison of Mathematics and Physics Education II written by Frederik Dilling and published by Springer Nature. This book was released on 2022-07-01 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interdisciplinary teaching is considered as one of the main goals of education worldwide. At the same time, it poses an immense challenge to teachers who have been trained in only one of the combines subjects. This is true even for closely related disciplines such as mathematics and physics. In this volume, practice-oriented educational comparisons are made across various topics that are highly relevant in both subjects. Furthermore, practical examples are presented in the form of lesson plans in which exemplary implementation in class is presented, considering both educational perspectives.

Download or read book Comparison of Mathematics and Physics Education I written by Simon Friedrich Kraus and published by Springer Nature. This book was released on 2020-04-29 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, which is the output of a DAAD-funded collaboration between the University of Siegen and the Hanoi National University of Education, discusses and summarizes theoretical foundations of common grounds of mathematics and physics education. This interdisciplinary perspective enables especially teachers who have only been trained in one of these subjects to enrich their pedagogical content knowledge. The starting point is a description of characteristics of the disciplines and their historical genesis, followed by comparative studies. This edited volume brings together thirteen stimulating contributions on educational aspects of both disciplines written jointly by experienced researchers from Germany and Vietnam.

Download or read book Mathematics in Physics Education written by Gesche Pospiech and published by Springer. This book was released on 2019-07-02 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about mathematics in physics education, the difficulties students have in learning physics, and the way in which mathematization can help to improve physics teaching and learning. The book brings together different teaching and learning perspectives, and addresses both fundamental considerations and practical aspects. Divided into four parts, the book starts out with theoretical viewpoints that enlighten the interplay of physics and mathematics also including historical developments. The second part delves into the learners’ perspective. It addresses aspects of the learning by secondary school students as well as by students just entering university, or teacher students. Topics discussed range from problem solving over the role of graphs to integrated mathematics and physics learning. The third part includes a broad range of subjects from teachers’ views and knowledge, the analysis of classroom discourse and an evaluated teaching proposal. The last part describes approaches that take up mathematization in a broader interpretation, and includes the presentation of a model for physics teachers’ pedagogical content knowledge (PCK) specific to the role of mathematics in physics.

Download or read book Mathematics of Classical and Quantum Physics written by Frederick W. Byron and published by Courier Corporation. This book was released on 2012-04-26 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate-level text offers unified treatment of mathematics applicable to many branches of physics. Theory of vector spaces, analytic function theory, theory of integral equations, group theory, and more. Many problems. Bibliography.

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 Lost in Math written by Sabine Hossenfelder and published by Basic Books. This book was released on 2018-06-12 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this "provocative" book (New York Times), a contrarian physicist argues that her field's modern obsession with beauty has given us wonderful math but bad science. Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

Download or read book Mr Tompkins in Paperback written by George Gamow and published by Cambridge University Press. This book was released on 2012-03-26 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since his first appearance over sixty years ago, Mr Tompkins has become known and loved by many readers as the bank clerk whose fantastic dreams lead him into a world inside the atom. This classic provides a delightful explanation of the central concepts in physics, from atomic structure to relativity.

Download or read book Mathematics for Physics written by Michael Stone and published by Cambridge University Press. This book was released on 2009-07-09 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Download or read book Physics in a New Era written by National Research Council and published by National Academies Press. This book was released on 2001-07-15 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics at the beginning of the twenty-first century has reached new levels of accomplishment and impact in a society and nation that are changing rapidly. Accomplishments have led us into the information age and fueled broad technological and economic development. The pace of discovery is quickening and stronger links with other fields such as the biological sciences are being developed. The intellectual reach has never been greater, and the questions being asked are more ambitious than ever before. Physics in a New Era is the final report of the NRC's six-volume decadal physics survey. The book reviews the frontiers of physics research, examines the role of physics in our society, and makes recommendations designed to strengthen physics and its ability to serve important needs such as national security, the economy, information technology, and education.

Download or read book Equations of Mathematical Physics written by A. N. Tikhonov and published by Courier Corporation. This book was released on 2013-09-16 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical physics plays an important role in the study of many physical processes — hydrodynamics, elasticity, and electrodynamics, to name just a few. Because of the enormous range and variety of problems dealt with by mathematical physics, this thorough advanced undergraduate- or graduate-level text considers only those problems leading to partial differential equations. Contents: I. Classification of Partial Differential Equations II. Evaluations of the Hyperbolic Type III. Equations of the Parabolic Type IV. Equations of Elliptic Type V. Wave Propagation in Space VI. Heat Conduction in Space VII. Equations of Elliptic Type (Continuation) The authors — two well-known Russian mathematicians — have focused on typical physical processes and the principal types of equations dealing with them. Special attention is paid throughout to mathematical formulation, rigorous solutions, and physical interpretation of the results obtained. Carefully chosen problems designed to promote technical skills are contained in each chapter, along with extremely useful appendixes that supply applications of solution methods described in the main text. At the end of the book, a helpful supplement discusses special functions, including spherical and cylindrical functions.

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 Mathematics for Physics written by Michael M. Woolfson and published by Oxford University Press. This book was released on 2007 with total page 805 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics for Physics features both print and online support, with many in-text exercises and end-of-chapter problems, and web-based computer programs, to both stimulate learning and build understanding.

Download or read book Masters of Theory written by Andrew Warwick and published by University of Chicago Press. This book was released on 2011-04-15 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the the Susan Elizabeth Abrams Prize in History of Science. When Isaac Newton published the Principia three centuries ago, only a few scholars were capable of understanding his conceptually demanding work. Yet this esoteric knowledge quickly became accessible in the nineteenth and early twentieth centuries when Britain produced many leading mathematical physicists. In this book, Andrew Warwick shows how the education of these "masters of theory" led them to transform our understanding of everything from the flight of a boomerang to the structure of the universe. Warwick focuses on Cambridge University, where many of the best physicists trained. He begins by tracing the dramatic changes in undergraduate education there since the eighteenth century, especially the gradual emergence of the private tutor as the most important teacher of mathematics. Next he explores the material culture of mathematics instruction, showing how the humble pen and paper so crucial to this study transformed everything from classroom teaching to final examinations. Balancing their intense intellectual work with strenuous physical exercise, the students themselves—known as the "Wranglers"—helped foster the competitive spirit that drove them in the classroom and informed the Victorian ideal of a manly student. Finally, by investigating several historical "cases," such as the reception of Albert Einstein's special and general theories of relativity, Warwick shows how the production, transmission, and reception of new knowledge was profoundly shaped by the skills taught to Cambridge undergraduates. Drawing on a wealth of new archival evidence and illustrations, Masters of Theory examines the origins of a cultural tradition within which the complex world of theoretical physics was made commonplace.

Download or read book Now The Physics of Time written by Richard A. Muller and published by W. W. Norton & Company. This book was released on 2016-09-20 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the celebrated author of the best-selling Physics for Future Presidents comes “a provocative, strongly argued book on the fundamental nature of time” (Lee Smolin). You are reading the word "now" right now. But what does that mean? "Now" has bedeviled philosophers, priests, and modern-day physicists from Augustine to Einstein and beyond. In Now, eminent physicist Richard A. Muller takes up the challenge. He begins with remarkably clear explanations of relativity, entropy, entanglement, the Big Bang, and more, setting the stage for his own revolutionary theory of time, one that makes testable predictions. Muller’s monumental work will spark major debate about the most fundamental assumptions of our universe, and may crack one of physics’ longest-standing enigmas.

Download or read book Understanding Physics Using Mathematical Reasoning written by Andrzej Sokolowski and published by Springer Nature. This book was released on 2021-08-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.

Download or read book Mathematical Methods For Physics written by H. W. Wyld and published by CRC Press. This book was released on 2018-03-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic book helps students learn the basics in physics by bridging the gap between mathematics and the basic fundamental laws of physics. With supplemental material such as graphs and equations, Mathematical Methods for Physics creates a strong, solid anchor of learning. The text has three parts: Part I focuses on the use of special functions in solving the homogeneous partial differential equations of physics, and emphasizes applications to topics such as electrostatics, wave guides, and resonant cavities, vibrations of membranes, heat flow, potential flow in fluids, plane and spherical waves. Part II deals with the solution of inhomogeneous differential equations with particular emphasis on problems in electromagnetism, Green's functions for Poisson's equation, the wave equation and the diffusion equation, and the solution of integral equations by iteration, eigenfunction expansion and the Fredholm series. Finally, Part II explores complex variable techniques, including evalution of itegrals, dispersion relations, special functions in the complex plane, one-sided Fourier transforms, and Laplace transforms.

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 432 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.