An Invitation to Mathematical Physics and Its History
An Invitation to Mathematical Physics and Its History

Author: Jont Allen

Publisher: Springer Nature

Published: 2020-09-22

Total Pages: 394

ISBN-13: 3030537595

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This state of the art book takes an applications based approach to teaching mathematics to engineering and applied sciences students. The book lays emphasis on associating mathematical concepts with their physical counterparts, training students of engineering in mathematics to help them learn how things work. The book covers the concepts of number systems, algebra equations and calculus through discussions on mathematics and physics, discussing their intertwined history in a chronological order. The book includes examples, homework problems, and exercises. This book can be used to teach a first course in engineering mathematics or as a refresher on basic mathematical physics. Besides serving as core textbook, this book will also appeal to undergraduate students with cross-disciplinary interests as a supplementary text or reader.

An Invitation to Quantum Field Theory
An Invitation to Quantum Field Theory

Author: Luis Alvarez-Gaumé

Publisher: Springer Science & Business Media

Published: 2011-11-26

Total Pages: 299

ISBN-13: 3642237274

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This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.

An Invitation To Astrophysics
An Invitation To Astrophysics

Author: Thanu Padmanabhan

Publisher: World Scientific

Published: 2006-02-07

Total Pages: 383

ISBN-13: 9814478733

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This unique book provides a clear and lucid description of several aspects of astrophysics and cosmology in a language understandable to a physicist or beginner in astrophysics. It presents the key topics in all branches of astrophysics and cosmology in a simple and concise language. The emphasis is on currently active research areas and exciting new frontiers rather than on more pedantic topics. Many complicated results are introduced with simple, novel derivations which strengthen the conceptual understanding of the subject. The book also contains over one hundred exercises which will help students in their self study.Undergraduate and graduate students in physics and astrophysics as well as all physicists who are interested in obtaining a quick grasp of astrophysical concepts will find this book useful.

An Invitation to Applied Mathematics
An Invitation to Applied Mathematics

Author: Carmen Chicone

Publisher: Academic Press

Published: 2016-09-24

Total Pages: 880

ISBN-13: 0128041544

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An Invitation to Applied Mathematics: Differential Equations, Modeling, and Computation introduces the reader to the methodology of modern applied mathematics in modeling, analysis, and scientific computing with emphasis on the use of ordinary and partial differential equations. Each topic is introduced with an attractive physical problem, where a mathematical model is constructed using physical and constitutive laws arising from the conservation of mass, conservation of momentum, or Maxwell's electrodynamics. Relevant mathematical analysis (which might employ vector calculus, Fourier series, nonlinear ODEs, bifurcation theory, perturbation theory, potential theory, control theory, or probability theory) or scientific computing (which might include Newton's method, the method of lines, finite differences, finite elements, finite volumes, boundary elements, projection methods, smoothed particle hydrodynamics, or Lagrangian methods) is developed in context and used to make physically significant predictions. The target audience is advanced undergraduates (who have at least a working knowledge of vector calculus and linear ordinary differential equations) or beginning graduate students. Readers will gain a solid and exciting introduction to modeling, mathematical analysis, and computation that provides the key ideas and skills needed to enter the wider world of modern applied mathematics. - Presents an integrated wealth of modeling, analysis, and numerical methods in one volume - Provides practical and comprehensible introductions to complex subjects, for example, conservation laws, CFD, SPH, BEM, and FEM - Includes a rich set of applications, with more appealing problems and projects suggested

Invitation to Quantum Mechanics
Invitation to Quantum Mechanics

Author: Daniel F. Styer

Publisher: World Scientific Publishing Company

Published: 2022-04-24

Total Pages: 297

ISBN-13: 9789811247903

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How do atoms and electrons behave? Are they just like marbles, basketballs, suns, and planets, but smaller?They are not. Atoms and electrons behave in a fashion quite unlike the familiar marbles, basketballs, suns, and planets. This sophomore-level textbook delves into the counterintuitive, intricate, but ultimately fascinating world of quantum mechanics. Building both physical insight and mathematical technique, it opens up a new world to the discerning reader.After discussing experimental demonstrations showing that atoms behave differently from marbles, the book builds up the phenomena of the quantum world -- quantization, interference, and entanglement -- in the simplest possible system, the qubit. Once the phenomena are introduced, it builds mathematical machinery for describing them. It goes on to generalize those concepts and that machinery to more intricate systems. Special attention is paid to identical particles, the source of considerable student confusion. In the last chapter, students get a taste of what is not treated in the book and are invited to continue exploring quantum mechanics. Problems in the book test both conceptual and technical knowledge, and invite students to develop their own questions.

It Keeps Me Seeking
It Keeps Me Seeking

Author: Andrew Briggs

Publisher: Oxford University Press, USA

Published: 2018

Total Pages: 367

ISBN-13: 0198808283

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An exposition on the common phrase "science and religion". Science has something to say about every aspect of human experience, and religion is, broadly speaking, the attempt by people to find and assert meaningfulness.

A Challenge to the Whole Physics World
A Challenge to the Whole Physics World

Author: K.H.K. Geerasee Wijesuriya

Publisher: Lulu.com

Published: 2016-04-21

Total Pages: 158

ISBN-13: 1365062481

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The ideas in this book are innovative and a challenge to the existing whole Physics, Astronomy and Cosmology worlds. The main attempt of this book is to point out some special contradictory facts in Einstein's concepts and some contradictions to current fundamentals of Physics, those have the capability to carry a revolution to the Whole Physics World again. This book is so worthy for Physics Undergraduates, Graduates and scientists, as well as any other researcher and any other person who has an interest in innovative ideas. Geerasee studied at Faculty of Science, University of Colombo Sri Lanka. And she graduated with BSc (Hons) in Physics and Mathematics from the University of Colombo, Sri Lanka in June 2014. Now she is intending to complete her PHD in Physics and Astronomy. Geerasee has been invited by several Astronomy/Physics institutions world-wide and by some private researchers asking to get involve with them to contribute to their researches.

Invitation to Oceanography
Invitation to Oceanography

Author: Paul R. Pinet

Publisher: Jones & Bartlett Learning

Published: 2003

Total Pages: 582

ISBN-13: 9780763721367

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Invitation to Oceanography, Third Edition provides students with a fundamental overview of the four major branches of ocean science: geology, chemistry, physics, and biology. The approach used is a broad one, relying on basic concepts to explain the ocean's many mysteries. Anybody -- whether sailor, surfer, beachcomber, or student -- can learn about the processes and creatures of the oceans by reading this visually exciting book.

Globalizing Physics
Globalizing Physics

Author: Roberto Lalli

Publisher: Oxford University Press

Published: 2024-07-09

Total Pages: 337

ISBN-13: 0198878699

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This is an open access book available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read on the Oxford Academic platform and offered as a free PDF download from OUP and selected open access locations. Following the centenary of the International Union of Pure and Applied Physics, this volume features contributions from leading science historians from around the world on the changing roles of the institution in international affairs from its foundation in 1922 to the present. The case studies presented in this volume show the multitude of functions that IUPAP had and how these were related to the changing international political contexts. The book is divided into three parts. The first discusses the interwar period demonstrating how the exclusion of communities of the Central Powers from international scientific institutions imposed by victorious allied countries made IUPAP ineffective until the end of World War II. The second part analyzes the changing roles assumed by IUPAP starting from its complete renovation after World War II. Case studies covering the role of IUPAP in physics education, in metrology, in joint commissions with other unions and in defining the complex relations between pure and applied physics provide examples of IUPAP's impact on the world of science. Part III squarely addresses the science diplomacy aspects of IUPAP during the Cold War highlighting the importance of IUPAP in furthering diplomatic goals and explaining the origin of the pursuit of the free circulation of scientists as the activity that characterized the main function of international unions during the Cold War. Highlighting how often scientific agendas and political imperatives were entangled in the activities of IUPAP, the book analyzes the work of the Union as exercises of science diplomacy, thus contributing to the current debate on the use of science and technology in international relations.