Undergraduate Lecture Notes in Physics

Exercises and Problems in Mathematical Methods of Physics

Authors: Cicogna, Giampaolo

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  • Satisfies the demand from students for a carefully structured book of exercises and problems in the mathematical methods of physics
  • Offers an alternative way to understand the mathematical notions on which modern physics is based
  • Proceeds from easier examples and exercises to more elaborate situations
  • Avoids unnecessary difficulties and excessive formalism
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eBook $19.99
$39.99 (listprice)
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valid through February 29, 2020
  • ISBN 978-3-319-76165-7
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  • Immediate eBook download after purchase
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through February 29, 2020
  • ISBN 978-3-319-76164-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This book presents exercises and problems in the mathematical methods of physics with the aim of offering undergraduate students an alternative way to explore and fully understand the mathematical notions on which modern physics is based. The exercises and problems are proposed not in a random order but rather in a sequence that maximizes their educational value. Each section and subsection starts with exercises based on first definitions, followed by groups of problems devoted to intermediate and, subsequently, more elaborate situations. Some of the problems are unavoidably "routine", but others bring to the fore nontrivial properties that are often omitted or barely mentioned in textbooks. There are also problems where the reader is guided to obtain important results that are usually stated in textbooks without complete proofs. In all, some 350 solved problems covering all mathematical notions useful to physics are included. While the book is intended primarily for undergraduate students of physics, students of mathematics, chemistry, and engineering, as well as their teachers, will also find it of value. 

About the authors

Giampaolo Cicogna worked at the University of Pisa in Italy from 1966 to 2012, as Assistant Professor of Geometry for Physicists and of Complementary Mathematics for Engineers (1966–80) and as Associated Professor of Mathematical Methods of Physics (1967–2012). He joined the university’s staff shortly after graduating in Physics "magna cum laude" at the Department of Physics of Pisa University in 1964. He worked as a collaborator with the Italian Istituto Nazionale di Fisica Nucleare (INFN, National Institute for Nuclear Physics) until 2015. Author of more than 120 publications in international scientific journals, he has acted as a referee for various journals and as a reviewer for academic institutions and for CINECA (referee evaluation procedure), a nonprofit consortium comprising Italian universities, Italian research institutions, and the Italian Ministry of Education, Universities and Research (MIUR).

Table of contents (4 chapters)

Table of contents (4 chapters)
  • Hilbert Spaces

    Pages 1-55

    Cicogna, Giampaolo

  • Functions of a Complex Variable

    Pages 57-71

    Cicogna, Giampaolo

  • Fourier and Laplace Transforms. Distributions

    Pages 73-125

    Cicogna, Giampaolo

  • Groups, Lie Algebras, Symmetries in Physics

    Pages 127-144

    Cicogna, Giampaolo

Buy this book

eBook $19.99
$39.99 (listprice)
price for USA in USD (gross)
valid through February 29, 2020
  • ISBN 978-3-319-76165-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $29.99
$49.99 (listprice)
price for USA in USD
valid through February 29, 2020
  • ISBN 978-3-319-76164-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exercises and Problems in Mathematical Methods of Physics
Authors
Series Title
Undergraduate Lecture Notes in Physics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-76165-7
DOI
10.1007/978-3-319-76165-7
Softcover ISBN
978-3-319-76164-0
Series ISSN
2192-4791
Edition Number
1
Number of Pages
X, 182
Number of Illustrations
8 b/w illustrations
Topics