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Genre:
Author: Harish Parthasarathy
Publisher: Springer Nature
Release:
File: Pages
ISBN-13: 9789811550584

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This book is primarily intended for Mathematicians, but students in the physical sciences will find here information not usually available in physics texts. The main aim of this book is to provide a unified mathematical account of the conceptual foundations of 20th-Century Physics, in a form suitable for a one-year survey course in Mathematics or Mathematical Physics. Emphasis is laid on the interlocked historical development of mathematical and physical ideas.

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Genre: Science
Author: G.G. Emch
Publisher: Elsevier
Release: 2000-04-01
File: 548 Pages
ISBN-13: 0080872115

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College students in the United States are becoming increasingly incapable of differentiating between proven facts delivered by scientific inquiry and the speculations of pseudoscience. In an effort to help stem this disturbing trend, From Atoms to Galaxies: A Conceptual Physics Approach to Scientific Awareness teaches heightened scientific acuity as it educates students about the physical world and gives them answers to questions large and small. Written by Sadri Hassani, the author of several mathematical physics textbooks, this work covers the essentials of modern physics, in a way that is as thorough as it is compelling and accessible. Some of you might want to know ... . . . How did Galileo come to think about the first law of motion? . . . Did Newton actually discover gravity by way of an apple and an accident? Or maybe you have mulled over... . . . Is it possible for Santa Claus to deliver all his toys? . . . Is it possible to prove that Elvis does not visit Graceland every midnight? Or perhaps you’ve even wondered ... . . . If ancient Taoism really parallels modern physics? . . . If psychoanalysis can actually be called a science? . . . How it is that some philosophies of science may imply that a 650-year-old woman can give birth to a child? No Advanced Mathematics Required A primary textbook for undergraduate students not majoring in physics, From Atoms to Galaxies examines physical laws and their consequences from a conceptual perspective that requires no advanced mathematics. It explains quantum physics, relativity, nuclear and particle physics, gauge theory, quantum field theory, quarks and leptons, and cosmology. Encouraging students to subscribe to proven causation rather than dramatic speculation, the book: Defines the often obscured difference between science and technology, discussing how this confusion taints both common culture and academic rigor Explores the various philosophies of science, demonstrating how errors in our understanding of scientific principles can adversely impact scientific awareness Exposes how pseudoscience and New Age mysticism advance unproven conjectures as dangerous alternatives to proven science Based on courses taught by the author for over 15 years, this textbook has been developed to raise the scientific awareness of the untrained reader who lacks a technical or mathematical background. To accomplish this, the book lays the foundation of the laws that govern our universe in a nontechnical way, emphasizing topics that excite the mind, namely those taken from modern physics, and exposing the abuses made of them by the New Age gurus and other mystagogues. It outlines the methods developed by physicists for the scientific investigation of nature, and contrasts them with those developed by the outsiders who claim to be the owners of scientific methodology. Each chapter includes essays, which use the material developed in that chapter to debunk misconceptions, clarify the nature of science, and explore the history of physics as it relates to the development of ideas. Noting the damage incurred by confusing science and technology, the book strives to help the reader to emphatically demarcate the two, while clearly demonstrating that science is the only element capable of advancing technology.

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Genre: Science
Author: Sadri Hassani
Publisher: CRC Press
Release: 2011-06-13
File: 753 Pages
ISBN-13: 9781439808504

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An overview of the conceptual and historical foundations of fundamental field theories, including their underlying issues, logic and dynamics.

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Genre: Science
Author: Tian Yu Cao
Publisher: Cambridge University Press
Release: 2019-10-31
File: 447 Pages
ISBN-13: 9781108476072

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This book collects selected papers written by invited and plenary speakers of the 15th International Congress on Mathematical Physics (ICMP) in the aftermath of the conference. In extensive review articles and expository texts as well as advanced research articles the world leading experts present the state of the art in modern mathematical physics. New mathematical concepts and ideas are introduced by prominent mathematicalphysicists and mathematicians, covering among others the fields of Dynamical Systems, Operator Algebras, Partial Differential Equations, Probability Theory, Random Matrices, Condensed Matter Physics, Statistical Mechanics, General Relativity, Quantum Mechanics, Quantum Field Theory, Quantum Information and String Theory. All together the contributions in this book give a panoramic view of the latest developments in mathematical physics. They will help readers with a general interest in mathematical physics to get an update on the most recent developments in their field, and give a broad overview on actual and future research directions in this fascinating and rapidly expanding area.

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Genre: Science
Author: Vladas Sidoravicius
Publisher: Springer Science & Business Media
Release: 2009-08-31
File: 872 Pages
ISBN-13: 9789048128105

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The first part is devoted to the topic of quantum gravity and string theories, mainly concerned with recent authoritative results in the study of discretizations in classical and quantum general relativity, non-commutative theories of gravity, (2+1)-dimensional supergravity, and Berezin description of Kaehler quotients. The field to particle transition problem is also considered. The second part deals with cosmology and black holes. Here, cosmological, inflationary, and braneworld scenarios are investigated. Moreover, some scalar field models for the dark matter content of the universe as well as new models of protostellar collapse and fragmentation are presented. This part includes also a study of de Sitter/Anti-de Sitter phase transition for black holes, an understanding of hairy black holes and an improvement of the no-hair theorem proof for the Proca field. The third part is devoted to exact solutions, in particular classical and quantum cosmological solutions in scalar-tensor theories. Additionally, a discussion about conformally flat axisymmetric spacetimes and some considerations on accelerated expansion in scalar-tensor theories are presented. Experimental and some mixed topics are included in the final part. Among them is an experimental foundation of nonlocality and superluminal signal velocity in photonic tunneling, a proposal for testing the weak equivalence principle for charged particles in space. Moreover, a possible new type of skewon field linked to Maxwell theory is also presented, and an authoritative discussion at the interface of quantum and gravitational realms.

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Genre: Science
Author: Alfredo Macias
Publisher: Springer Science & Business Media
Release: 2002-08-31
File: 300 Pages
ISBN-13: 0306472937

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Mathematics is the essential language of science. It enables us to describe abstract physical concepts, and to apply these concepts in practical ways. Yet mathematical skills and concepts are an aspect of physics that many students fear the most. Mathematics for Physics recognizes the challenges faced by students in equipping themselves with the maths skills necessary to gain a full understanding of physics. Working from basic yet fundamental principles, the book builds the students' confidence by leading them through the subject in a steady, progressive way. As its primary aim, Mathematics for Physics shows the relevance of mathematics to the study of physics. Its unique approach demonstrates the application of mathematical concepts alongside the development of the mathematical theory. This stimulating and motivating approach helps students to master the maths and see its application in the context of physics in one seamless learning experience. Mathematics is a subject mastered most readily through active learning. 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. Mathematics for Physics is the perfect introduction to the essential mathematical concepts which all physics students should master. Online Resource Centre: For lecturers: Figures from the book available to download, to facilitate lecture preparation For students: 23 computer programs, coded in FORTRAN, C, and MATLAB, to enable students to investigate and solve a range of problems - from the behaviour of clusters of stars to the design of nuclear reactors - and hence make learning as effective and engaging as possible.

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Genre: Mathematics
Author: Michael M. Woolfson
Publisher: Oxford University Press
Release: 2007
File: 783 Pages
ISBN-13: 0199289298

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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.

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Genre: Education
Author: Simon Friedrich Kraus
Publisher: Springer Nature
Release: 2020-04-29
File: 382 Pages
ISBN-13: 9783658298807

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Time-honored study by a prominent scholar of mathematics traces decisive epochs from the evolution of mathematical ideas in ancient Egypt and Babylonia to major breakthroughs in the 19th and 20th centuries. 1945 edition.

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Genre: Mathematics
Author: E. T. Bell
Publisher: Courier Corporation
Release: 2012-09-11
File: 656 Pages
ISBN-13: 9780486152288

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This book is primarily about the methodological questions involved in attempts to understand two of the most peculiar phenomena in physics, both occurring at the lowest of temperatures. Superconductivity (the disappearance of electrical resistance) and superfluidity (the total absence of viscosity in liquid helium) are not merely peculiar in their own right. Being the only macroscopic quantum phenomena they also manifest a sudden and dramatic change even in those properties which have been amply used within the classical framework and which were thought to be fully understood after the advent of quantum theory. A few years ago we set ourselves the task of carrying out a methodological study of the "most peculiar" phenomena in physics and trying to understand the process by which an observed (rather than predicted) new phenomenon gets "translated" into a physical problem. We thought the best way of deciding which phenomena to choose was to rely on our intuitive notion about the "degrees of peculiarity" developed, no doubt, during the past ten years of active research in theoretical atomic and elementary particle physics. While the merits of the different candidates were compared, we were amazed to realize that neither the phenomena of the very small nor those of the very large could compete with the phenomena of the very cold. These were truly remarkable phenomena if for no other reason than for the difficulties encountered in merely describing them.

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Genre: Science
Author: K. Gavroglu
Publisher: Springer Science & Business Media
Release: 2012-12-06
File: 178 Pages
ISBN-13: 9789400925564

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