Sanjeev Dhurandhar's Books

General Relativity and Gravitational Waves

Essentials of Theory and Practice

By: Sanjeev Dhurandhar,Sanjit Mitra

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General Relativity and Gravitational Waves

Essentials of Theory and Practice

By: Sanjeev Dhurandhar,Sanjit Mitra

This book serves as a textbook for senior undergraduate students who are learning the subject of general relativity and gravitational waves for the first time. Both authors have been teaching the course in various forms for a few decades and have designed the book as a one stop book at basic level including derivations and exercises. A spectacular prediction of general relativity is gravitational waves. Gravitational waves were first detected by the LIGO detectors in 2015, hundred years after their prediction. Both authors are part of the LIGO Science Collaboration and were authors on the discovery paper. Therefore, a strong motivation for this book is to provide the essential concepts of general relativity theory and gravitational waves with their modern applications to students and to researchers who are new to the multi-disciplinary field of gravitational wave astronomy. One of the advanced topics covered in this book is the fundamentals of gravitational wave data analysis, filling a gap in textbooks on general relativity. The topic blends smoothly with other chapters in the book not only because of the common area of research, but it uses similar differential geometric and algebraic tools that are used in general relativity.

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Page Count

214

Publisher

Springer Nature

Published Date

ISBN 10

3030923355

ISBN 13

9783030923358

General Relativity and Gravitational Waves

Essentials of Theory and Practice

By: Sanjeev Dhurandhar,Sanjit Mitra

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General Relativity and Gravitational Waves

Essentials of Theory and Practice

By: Sanjeev Dhurandhar,Sanjit Mitra

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Page Count

214

Publisher

Springer Nature

Published Date

ISBN 10

3030923355

ISBN 13

9783030923358

Understanding Mathematical Concepts in Physics

Insights from Geometrical and Numerical Approaches

By: Sanjeev Dhurandhar

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Understanding Mathematical Concepts in Physics

Insights from Geometrical and Numerical Approaches

By: Sanjeev Dhurandhar

Modern mathematics has become an essential part of today’s physicist’s arsenal and this book covers several relevant such topics. The primary aim of this book is to present key mathematical concepts in an intuitive way with the help of geometrical and numerical methods - understanding is the key. Not all differential equations can be solved with standard techniques. Examples illustrate how geometrical insights and numerical methods are useful in understanding differential equations in general but are indispensable when extracting relevant information from equations that do not yield to standard methods. Adopting a numerical approach to complex analysis it is shown that Cauchy’s theorem, the Cauchy integral formula, the residue theorem, etc. can be verified by performing hands-on computations with Python codes. Figures elucidate the concept of poles and essential singularities. Further the book covers topology, Hilbert spaces, Fourier transforms (discussing how fast Fourier transform works), modern differential geometry, Lie groups and Lie algebras, probability and useful probability distributions, and statistical detection of signals. Novel features include: (i) Topology is introduced via the notion of continuity on the real line which then naturally leads to topological spaces. (ii) Data analysis in a differential geometric framework and a general description of χ2 discriminators in terms of vector bundles. This book is targeted at physics graduate students and at theoretical (and possibly experimental) physicists. Apart from research students, this book is also useful to active physicists in their research and teaching.

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Published Date

ISBN 10

3031603931

ISBN 13

9783031603938

Book's by Sanjeev Dhurandhar

General Relativity and Gravitational Waves

General Relativity and Gravitational Waves

General Relativity and Gravitational Waves

General Relativity and Gravitational Waves

Understanding Mathematical Concepts in Physics

Understanding Mathematical Concepts in Physics

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