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 coveredin the second volume.

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.

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.

I. Fundamentals.- Basic Knowledge.- Functions.- II. Basics.- Derivatives.- Integral.- Functions of Many Variables: Differentiation.- Functions of Many Variables: Integration.- Infinite Numerical and Functional Series.- Ordinary Differential Equations.