No Bullshit Guide to Math and Physics

by Ivan Savov

Overview

Often calculus and mechanics are taught as separate subjects. It shouldn't be like that. Learning calculus without mechanics is incredibly boring. Learning mechanics without calculus is missing the point. This textbook integrates both subjects and highlights the profound connections between them.

This is the deal. Give me 350 pages of your attention, and I'll teach you everything you need to know about functions, limits, derivatives, integrals, vectors, forces, and accelerations. This book is the only math book you'll need for the first semester of undergraduate studies in science.

With concise, jargon-free lessons on topics in math and physics, each section covers one concept at the level required for a first-year university course. Anyone can pick up this book and become proficient in calculus and mechanics, regardless of their mathematical background.

Product Details

ISBN-13:	9780992001001
Publisher:	Minireference Co.
Publication date:	07/25/2014
Edition description:	5th ed.
Pages:	526
Product dimensions:	5.60(w) x 8.40(h) x 1.10(d)

About the Author

Ivan Savov combines 17 years of tutoring experience with a B.Eng. in electrical engineering, an M.Sc. in physics, and a Ph.D. in computer science from McGill University. Tutoring made him realize that understanding connections between concepts is much more important than memorizing facts. It's not about how many equations you know, but about knowing how to get from one equation to another. He founded the Minireference Publishing company to start a revolution in the textbook industry by making textbooks that don't suck.

Table of Contents

• Preface
• Introduction
• Math fundamentals
• Solving equations
• Numbers
• Number representations
• Variables
• Functions and their inverses
• Basic rules of algebra
• Solving quadratic equations
• Exponents
• Logarithms
• The Cartesian plane
• Functions
• Functions reference
• Function transformations
• Geometry
• Trigonometry
• Trigonometric identities
• Circles and polar coordinates
• Ellipse
• Parabola
• Hyperbola
• Solving systems of linear equations
• Compound interest
• Set notation
• Math problems
• Introduction to physics
• Introduction
• Kinematics
• Introduction to calculus
• Kinematics with calculus
• Kinematics problems
• Vectors
• Great outdoors
• Vectors
• Basis
• Vector products
• Complex numbers
• Vectors problems
• Mechanics
• Introduction
• Projectile motion
• Forces
• Force diagrams
• Momentum
• Energy
• Uniform circular motion
• Angular motion
• Simple harmonic motion
• Conclusion
• Mechanics problems
• Calculus
• Introduction
• Overview
• Infinity
• Limits
• Limit formulas
• Derivatives
• Derivative formulas
• Derivative rules
• Higher derivatives
• Optimization algorithm
• Implicit differentiation
• Integrals
• Riemann sums
• The fundamental theorem of calculus
• Techniques of integration
• Applications of integration
• Improper integrals
• Sequences
• Series
• Conclusion
• Calculus problems
• End matter
• Conclusion
• Acknowledgments
• Further reading
• Answers a solutions
• Notation
• Constants, units, and conversion ratios
• SymPy tutorial
• Calculus formulas
• Mechanics formulas
• Index