© 2016

Mathematics for Natural Scientists

Fundamentals and Basics


  • 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 Undergraduate Lecture Notes in Physics book series (ULNP)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Fundamentals

    1. Front Matter
      Pages 1-1
    2. Lev Kantorovich
      Pages 3-66
    3. Lev Kantorovich
      Pages 67-119
  3. Basics

    1. Front Matter
      Pages 121-121
    2. Lev Kantorovich
      Pages 123-173
    3. Lev Kantorovich
      Pages 175-259
    4. Lev Kantorovich
      Pages 261-313
    5. Lev Kantorovich
      Pages 315-415
    6. Lev Kantorovich
      Pages 417-453
    7. Lev Kantorovich
      Pages 455-520
  4. Back Matter
    Pages 521-526

About this book


This book, the first in a two part series, covers a course of mathematics tailored specifically for physics, engineering and chemistry students at the undergraduate level. It is unique in that it begins with logical concepts of mathematics first encountered at A-level and covers them in thorough detail, filling in the gaps in students' knowledge and reasoning. Then the book aids the leap between A-level and university-level mathematics, with complete proofs provided throughout and all complex mathematical concepts and techniques presented in a clear and transparent manner. Numerous examples and problems (with answers) are given for each section and, where appropriate, mathematical concepts are illustrated in a physics context.

This text gives an invaluable foundation to students and a comprehensive aid to lecturers.

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.


Engineering Mathematics Math for engineering students Math for physics students Math for the physical sciences Math used in physics and engineering Mathematical Methods in Physics Mathematics for engineering students Mathematics for physics students Mathematics of physical sciences

Authors and affiliations

  1. 1.PhysicsKing’s College LondonLondonUnited Kingdom

About the authors

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

Industry Sectors
Energy, Utilities & Environment