Exercises and Problems in Mathematical Methods of Physics

  • Giampaolo Cicogna

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Giampaolo Cicogna
    Pages 1-55
  3. Giampaolo Cicogna
    Pages 57-71
  4. Giampaolo Cicogna
    Pages 73-125
  5. Giampaolo Cicogna
    Pages 127-144
  6. Back Matter
    Pages 145-182

About this book

Introduction

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 forenontrivial 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. 

Keywords

Mathematical methods of Physics Fourier expansions Hilbert spaces and linear operators Complex variable methods Fourier and Laplace transforms Distributions Groups and symmetry in Physics Mathematical physics exercise book Solved problems in mathematical physics

Authors and affiliations

  • Giampaolo Cicogna
    • 1
  1. 1.Dipartimento di Fisica “Enrico Fermi”Università di PisaPisaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-76165-7
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-76164-0
  • Online ISBN 978-3-319-76165-7
  • Series Print ISSN 2192-4791
  • Series Online ISSN 2192-4805
  • About this book
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