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  • Textbook
  • © 2016

Mathematics for Natural Scientists

Fundamentals and Basics

Authors:

  • Provides an exceptionally concise and clear treatment of essential mathematical methods used in physics and engineering
  • Each chapter contains practice problems and solutions
  • Can be used as the basis for a one-semester undergraduate mathematics course for physics and engineering majors

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

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvii
  2. Fundamentals

    1. Front Matter

      Pages 1-1
    2. Basic Knowledge

      • Lev Kantorovich
      Pages 3-66
    3. Functions

      • Lev Kantorovich
      Pages 67-119
  3. Basics

    1. Front Matter

      Pages 121-121
    2. Derivatives

      • Lev Kantorovich
      Pages 123-173
    3. Integral

      • Lev Kantorovich
      Pages 175-259
    4. Functions of Many Variables: Differentiation

      • Lev Kantorovich
      Pages 261-313
    5. Functions of Many Variables: Integration

      • Lev Kantorovich
      Pages 315-415
    6. Infinite Numerical and Functional Series

      • Lev Kantorovich
      Pages 417-453
    7. Ordinary Differential Equations

      • Lev Kantorovich
      Pages 455-520
  4. Back Matter

    Pages 521-526

About this book

This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book.

Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.

Authors and Affiliations

  • Physics, King’s College London, London, United Kingdom

    Lev Kantorovich

About the author

Lev Kantorovich is a member of the Physics faculty at King's College London. He has published two books and over 190 peer reviewed papers. Prof. Kantorovich has taught mathematical methods in physics at King's College for the past 12 years, receiving two Teaching Excellence Awards.

Bibliographic Information

Buy it now

Buying options

eBook USD 69.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access