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Basic Mathematical Insights into Astrophysics

  • Book
  • © 2025

Overview

  • Discusses concepts in mathematics and physics that are routinely used by astronomers
  • Involves the reader in getting to understand the most recent astronomical research and mathematical techniques
  • Contains various appendices that explain the derivations of important formulae used in the text

Part of the book series: Undergraduate Lecture Notes in Physics (ULNP)

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About this book

This book will show how it is possible to explore the Universe not only with telescopes but also with Mathematics. Moreover, this book aims at explaining the equations governing the behavior of the stars, planets, and galaxies, which are very accessible to the average undergraduate who has studied some Mathematics in school. We will also probe into unseen black holes to determine their mass as well as investigate other intriguing celestial phenomena such as dark matter and dark energy, the expansion of the Universe, and explore via Einstein’s Theory of Relativity, the very foundations of space and time itself. You will discover that both Special and General Relativity are absolutely essential for the functioning of the Global Positioning System (GPS), which illustrates how astrophysical ideas can impact everyday lives.

Lastly, this book provides insight into how Mathematics allows us to see and hear how the Universe ticks. Each chapter is a front row seat for those who wish to listen to some of the most beautiful music expressed by the Universe, Mathematics.

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Table of contents (11 chapters)

Authors and Affiliations

  • Department of Mathematics, University of Auckland, Auckland, New Zealand

    Joel L. Schiff

About the author

Joel L. Schiff has a PhD in Mathematics from the University of California Los Angeles (UCLA). He has spent his career at the University of Auckland, Auckland, New Zealand and written eight books on mathematical and scientific subjects including astronomy. With colleague Wayne Walker, he helped developed the Arithmetic Fourier Transform used in signal processing. The author was also the founder publisher of the international journal Meteorite, and in 1999, he and his wife discovered a new asteroid from their backyard observatory. They named it after notable New Zealand meteorite scientist, Brian Mason. As well, the author has for years done astrometrical observations of Near-Earth Asteroids that are sent to the database maintained by the Center for Astrophysics/Harvard & Smithsonian.

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Bibliographic Information

  • Book Title: Basic Mathematical Insights into Astrophysics

  • Authors: Joel L. Schiff

  • Series Title: Undergraduate Lecture Notes in Physics

  • DOI: https://doi.org/10.1007/978-3-031-79100-0

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2025

  • Softcover ISBN: 978-3-031-79099-7Published: 07 January 2025

  • eBook ISBN: 978-3-031-79100-0Published: 06 January 2025

  • Series ISSN: 2192-4791

  • Series E-ISSN: 2192-4805

  • Edition Number: 1

  • Number of Pages: XIV, 247

  • Number of Illustrations: 31 b/w illustrations, 71 illustrations in colour

  • Topics: Astrophysics and Astroparticles, Astronomy, Astrophysics and Cosmology

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