Guide to Essential Math - 1st Edition

Guide to Essential Math

1st Edition

A Review for Physics, Chemistry and Engineering Students

Authors: Sy Blinder Sy Blinder
Imprint: Academic Press
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This book reminds students in junior, senior and graduate level courses in physics, chemistry and engineering of the math they may have forgotten (or learned imperfectly) which is needed to succeed in science courses. The focus is on math actually used in physics, chemistry and engineering, and the approach to mathematics begins with 12 examples of increasing complexity, designed to hone the student's ability to think in mathematical terms and to apply quantitative methods to scientific problems. By the author's design, no problems are included in the text, to allow the students to focus on their science course assignments.

Key Features

  • Highly accessible presentation of fundamental mathematical techniques needed in science and engineering courses
  • Use of proven pedagogical techniques develolped during the author’s 40 years of teaching experience
  • illustrations and links to reference material on World-Wide-Web
  • Coverage of fairly advanced topics, including vector and matrix algebra, partial differential equations, special functions and complex variables


Upper-level undergraduates and graduate students in physics, chemistry and engineering

Table of Contents

To the Student 1 Mathematical Thinking 1.1 The NCAA Problem 1.2 Gauss and the Arithmetic Series 1.3 The Pythagorean Theorem 1.4 Torus Area and Volume
1.5 Einstein's Velocity Addition Law 1.6 The Birthday Problem 1.7 p¼ in the Gaussian Integral 1.8 Function Equal to its Derivative 1.9 Log of N Factorial for Large N 1.10 Potential and Kinetic Energies 1.11 Lagrangian Mechanics 1.12 Riemann Zeta Function and Prime Numbers 1.13 How to Solve It 1.14 A Note on Mathematical Rigor

  1. Numbers 2.1 Integers 2.2 Primes 2.3 Divisibility 2.4 Fibonacci Numbers 2.5 Rational Numbers 2.6 Exponential Notation 2.7 Powers of 10 2.8 Binary Number System 2.9 Infinity 3 Algebra 3.1 Symbolic Variables 3.2 Legal and Illegal Algebraic Manipulations 3.3 Factor-Label Method 3.4 Powers and Roots 3.5 Logarithms 3.6 The Quadratic Formula 3.7 Imagining i 3.8 Factorials, Permutations and Combinations 3.9 The Binomial Theorem 3.10 e is for Euler 4 Trigonometry 4.1 What Use is Trigonometry? 4.2 The Pythagorean Theorem 4.3 ¼ in the Sky 4.4 Sine and Cosine 4.5 Tangent and Secant 4.6 Trigonometry in the Complex Plane 4.7 De Moivre's Theorem 4.8 Euler's Theorem 4.9 Hyperbolic Functions 5 Analytic Geometry 5.1 Functions and Graphs 5.2 Linear Functions 5.3 Conic Sections 5.4 Conic Sections in Polar Coordinates 6 Calculus 6.1


Academic Press
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About the Author

Sy Blinder

Affiliations and Expertise

Wolfram Research, Inc., Chicago, IL, USA and University of Michigan, Ann Arbor, USA

Sy Blinder

Affiliations and Expertise

Wolfram Research, Inc., Chicago, IL, USA and University of Michigan, Ann Arbor, USA