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Pragmatic Mathematics for Scientists and Engineers
2024Alexander Godunov and John A. Adam
This is a textbook on basic to intermediate mathematics for undergraduate students majoring in the physical sciences and engineering. Many chapters, covering topics like Green's functions, calculus of variations, and functions of a complex variable, are well-suited for graduate classes. Additionally, researchers can benefit from the book as a mathematical refresher for their professional work.The book provides readers with a fundamental understanding of underlying principles, using derivations based more on mathematical intuition rather than exposing them to multiple theorems, proofs, and lemmas. Each chapter includes highly relevant examples with detailed solutions and explanations, promoting a practical application of knowledge to real problems in the physical sciences. For the convenience of both students and instructors, there are end-of-chapter exercises with answers that can be easily utilized for assignments. The book is not a replacement for calculus textbooks, but rather a guide to the mathematics most relevant to the physical sciences and engineering. In conclusion, this book can be readily adapted for upper-level undergraduate and graduate classes, particularly those focusing on mathematical methods for students in physical sciences, applied mathematics, and engineering majors. [From the publisher]
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Relativity and Cosmology: From First Principles to Interpretations
2024Balša Terzić
Relativity and Cosmology: From First Principles to Interpretations provides a high-quality and highly relevant astrophysics grounding for senior undergraduate students. This comprehensive textbook emphasizes an illustrative, pedagogical approach and aims to strike a balance between the breadth and depth of the material presented, frequently tying new material – relativistic mechanics and gravity – to the classical mechanics and gravity with which readers are more familiar. It includes robust content and corresponding exercises, figures, and appendices on many exciting developments, including relativistic mechanics; Newtonian classical mechanics; relativistic spacetime; special relativity; general relativity; tensor calculus; cosmology; Einstein’s field equations; dark matter; dark energy; and black holes.
This accessible edition delivers helpful and engaging additions to the role and importance of physics in cosmology and relativity. It is ideal for courses in physics, astrophysics, astronomy, and related subjects. [From the publisher]
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An Introduction to Numerical Methods for the Physical Sciences
2020Colm T. Whelan
There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions. There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics. [Amazon.com]
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Atomic Structure
2018Colm T. Whelan
A knowledge of atomic theory should be an essential part of every physicist's and chemist's toolkit. This book provides an introduction to the basic ideas that govern our understanding of microscopic matter, and the essential features of atomic structure and spectra are presented in a direct and easily accessible manner. Semi-classical ideas are reviewed and an introduction to the quantum mechanics of one and two electron systems and their interaction with external electromagnetic fields is featured. Multielectron atoms are also introduced, and the key methods for calculating their properties reviewed. [From Amazon.com]
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A First Course in Mathematical Physics
2016Colm T. Whelan
The book assumes next to no prior knowledge of the topic. The first part introduces the core mathematics, always in conjunction with the physical context. In the second part of the book, a series of examples showcases some of the more conceptually advanced areas of physics, the presentation of which draws on the developments in the first part. A large number of problems helps students to hone their skills in using the presented mathematical methods. Solutions to the problems are available to instructors on an associated password-protected website for lecturers. [From Amazon.com]
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Fragmentation Processes Topics in Atomic and Molecular Physics
2013Colm T. Whelan (Editor)
Revolutionary advances in experimental techniques and spectacular increases in computer power over recent years have enabled researchers to develop a much more profound understanding of the atomic few-body problem. One area of intense focus has been the study of fragmentation processes. Covering the latest research in the field, this edited text is the first to provide a focused and systematic treatment of fragmentation processes, bringing together contributions from a range of leading experts. As well as tackling the more established electron-impact ionization processes, (e,2e), this book also guides the reader through topics such as molecular fragmentation, ion-atom collisions and multi-photon processes. Combining a broad range of topics with an equal mix of theoretical and experimental discussion, this is an invaluable text for graduate students and researchers in atomic collisions, laser physics and chemistry. [From Amazon.com]
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Guesstimation 2.0: Solving Today's Problems on the Back of a Napkin
2012Lawrence Weinstein
Guesstimation 2.0 reveals the simple and effective techniques needed to estimate virtually anything--quickly--and illustrates them using an eclectic array of problems. A stimulating follow-up to Guesstimation, this is the must-have book for anyone preparing for a job interview in technology or finance, where more and more leading businesses test applicants using estimation questions just like these.
The ability to guesstimate on your feet is an essential skill to have in today's world, whether you're trying to distinguish between a billion-dollar subsidy and a trillion-dollar stimulus, a megawatt wind turbine and a gigawatt nuclear plant, or parts-per-million and parts-per-billion contaminants. Lawrence Weinstein begins with a concise tutorial on how to solve these kinds of order of magnitude problems, and then invites readers to have a go themselves. The book features dozens of problems along with helpful hints and easy-to-understand solutions. It also includes appendixes containing useful formulas and more.
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Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin
2008Lawrence Weinstein and John A. Adam
Guesstimation is a book that unlocks the power of approximation--it's popular mathematics rounded to the nearest power of ten! The ability to estimate is an important skill in daily life. More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible assumptions and elementary arithmetic... [From Amazon.com]
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Electron Scattering: From Atoms, Molecules, Nuclei, And Bulk Matter
2005Colm T. Whelan (Editor) and Nigel J. Mason (Editor)
There is a unity to physics; it is a discipline which provides the most fundamental understanding of the dynamics of matter and energy. To understand anything about a physical system you have to interact with it and one of the best ways to learn something is to use electrons as probes. This book is the result of a meeting, which took place in Magdalene College Cambridge in December 2001. Atomic, nuclear, cluster, soHd state, chemical and even bio- physicists got together to consider scattering electrons to explore matter in all its forms. Theory and experiment were represented in about equal measure. It was meeting marked by the most lively of discussions and the free exchange of ideas. We all learnt a lot. The Editors are grateful to EPSRC through its Collaborative Computational Project program (CCP2), lOPP, the Division of Atomic, Molecular, Optical and Plasma Physics (DAMOPP) and the Atomic Molecular Interactions group (AMIG) of the Institute of Physics for financial support. The smooth running of the meeting was enormously facilitated by the efficiency and helpfulness of the staff of Magdalene College, for which we are extremely grateful. This meeting marked the end for one of us (CTW) of a ten-year period as a fellow of the College and he would like to take this opportunity to thank the fellows and staff for the privilege of working with them. [Amazon.com]
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Structural Geology and Personal Computers
1996Declan G. De Paor
This book will help structural geologists keep abreast of rapid changes in work practices resulting from the personal computer revolution. It is organized into six parts: I Computer-Aided Learning; II Microstructural Analysis; III Analysis of Orientation Data; IV Strain and Kinematic Analysis; V Mathematical and Physical Modeling; VI Structural Mapping and GIS. The 45 contributing authors explain how to: set up computer-aided teaching and learning facilities on a low budget; illustrate tectonic strain concepts with a drawing program; integrate multimedia presentations into structural coursework; analyze microstructures with computer-aided microscopy; produce sophisticated stereonets with custom software for both the Mac and IBM PC; evaluate orientation data using a spreadsheet program; model the development of macrostructures and microstructures numerically; integrate structural and geophysical data; and apply PC technology to the production of structural maps, cross sections, and block diagrams... [From Amazon.com]
A gallery of books by faculty in the Department of Physics, College of Sciences, Old Dominion University.
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