Mathematics for Natural Scientists: Fundamentals and BasicsThis 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. |
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Mathematics for Natural Scientists: Fundamentals and Basics Lev Kantorovich No preview available - 2015 |
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ˆ ˆ ˆ ˇ ˇ ˇ Ä x Ä angle axis binomial coefficients calculate Cartesian coefficients condition consider continuous function corresponding cosx curve defined definite integral direction diverges double integral equal to zero exact differential example exists exponential function expression finite formula function f.x generalised given hence improper integrals infinite integral sum interval inverse lim x!0 limit line integral linear mathematician method obtained parameter partial derivatives partial sum plane point x0 polar coordinates polynomial positive Problem Proof Prove radius real numbers region respect result right-hand side scalar Sect series converges Show shown in Fig Similarly sine sinx ſº solution solved subintervals surface surface integral Taylor’s tends to zero Theorem triangle uniform convergence variables vector field velocity volume x2 C y2