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Kantorovich L. Mathematics for Natural Scientists: Fundamentals and Basics

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Kantorovich L. Mathematics for Natural Scientists: Fundamentals and Basics
Springer, 2016. — 526 p. — (Undergraduate Lecture Notes in Physics). — ISBN: 978-1-4939-2785-2, 978-1-4939-2784-5.
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.
Basic Knowledge
Functions
Derivatives
Integral
Functions of Many Variables: Differentiation
Functions of Many Variables: Integration
Infinite Numerical and Functional Series
Ordinary Differential Equations
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