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//-->No BULLSHIT guide toMATH&PHYSICSIvan SavovAugust 1, 2014No bullshit guide to math and physicsby Ivan SavovCopyright © Ivan Savov, 2012, 2013, 2014.All rights reserved.Published byMinireference Co.Montréal, Québec, Canadaminireference.com | @minireference | fb.me/noBSguideFor inquiries, contact the author ativan.savov@gmail.comMathematics Subject Classifications (2010):00A09, 70-01, 97I40, 97I50.Library and Archives Canada Cataloguing in Publication DataA catalog record for this book has been requestedFifth editionv5.0 hg changeset: 345:887451e0b143Previous editions: v1.0 2010, v2.0 2011, v3.0 2012, v4.0 2013.ISBN 978-0-9920010-0-1109 8 765 4321ContentsPrefaceIntroduction1 Math fundamentals1.1 Solving equations . . . . . .1.2 Numbers . . . . . . . . . . .1.3 Variables . . . . . . . . . .1.4 Functions and their inverses1.5 Fractions . . . . . . . . . .1.6 Basic rules of algebra . . . .1.7 Solving quadratic equations1.8 Exponents . . . . . . . . . .1.9 Logarithms . . . . . . . . .1.10 The number line . . . . . .1.11 Inequalities . . . . . . . . .1.12 The Cartesian plane . . . .1.13 Functions . . . . . . . . . .1.14 Function reference . . . . .Line . . . . . . . . . . . . .Square . . . . . . . . . . . .Square root . . . . . . . . .Absolute value . . . . . . .Polynomial functions . . . .Sine . . . . . . . . . . . . .Cosine . . . . . . . . . . . .Tangent . . . . . . . . . . .Exponential . . . . . . . . .Natural logarithm . . . . .Function transformations .General quadratic functionGeneral sine function . . . .1.15 Polynomials . . . . . . . . .ivii1....................................................................................................................................................................................................................................................................................................................................................................................................................................34610121519232730343637404646484950515254555657576062621.161.171.181.191.201.211.221.231.241.25Trigonometry . . . . . .Trigonometric identitiesGeometry . . . . . . . .Circle . . . . . . . . . .Ellipse . . . . . . . . . .Hyperbola . . . . . . . .Solving systems of linearCompound interest . . .Set notation . . . . . . .Math problems . . . . .. . . . . .. . . . . .. . . . . .. . . . . .. . . . . .. . . . . .equations. . . . . .. . . . . .. . . . . ...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................667173757781868991971071071101161211261311321341421441461521551551591681701831881972052152282292392392412522572632 Introduction to physics2.1 Introduction . . . . . . . .2.2 Kinematics . . . . . . . .2.3 Introduction to calculus .2.4 Kinematics with calculus .2.5 Kinematics problems . . .3 Vectors3.1 Great outdoors . .3.2 Vectors . . . . . .3.3 Basis . . . . . . . .3.4 Vector products . .3.5 Complex numbers3.6 Vectors problems .........................................4 Mechanics4.1 Introduction . . . . . . .4.2 Projectile motion . . . .4.3 Forces . . . . . . . . . .4.4 Force diagrams . . . . .4.5 Momentum . . . . . . .4.6 Energy . . . . . . . . . .4.7 Uniform circular motion4.8 Angular motion . . . . .4.9 Simple harmonic motion4.10 Conclusion . . . . . . .4.11 Mechanics problems . .5 Calculus5.1 Introduction . .5.2 Overview . . .5.3 Infinity . . . . .5.4 Limits . . . . .5.5 Limit formulas......................... [ Pobierz całość w formacie PDF ]
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//-->No BULLSHIT guide toMATH&PHYSICSIvan SavovAugust 1, 2014No bullshit guide to math and physicsby Ivan SavovCopyright © Ivan Savov, 2012, 2013, 2014.All rights reserved.Published byMinireference Co.Montréal, Québec, Canadaminireference.com | @minireference | fb.me/noBSguideFor inquiries, contact the author ativan.savov@gmail.comMathematics Subject Classifications (2010):00A09, 70-01, 97I40, 97I50.Library and Archives Canada Cataloguing in Publication DataA catalog record for this book has been requestedFifth editionv5.0 hg changeset: 345:887451e0b143Previous editions: v1.0 2010, v2.0 2011, v3.0 2012, v4.0 2013.ISBN 978-0-9920010-0-1109 8 765 4321ContentsPrefaceIntroduction1 Math fundamentals1.1 Solving equations . . . . . .1.2 Numbers . . . . . . . . . . .1.3 Variables . . . . . . . . . .1.4 Functions and their inverses1.5 Fractions . . . . . . . . . .1.6 Basic rules of algebra . . . .1.7 Solving quadratic equations1.8 Exponents . . . . . . . . . .1.9 Logarithms . . . . . . . . .1.10 The number line . . . . . .1.11 Inequalities . . . . . . . . .1.12 The Cartesian plane . . . .1.13 Functions . . . . . . . . . .1.14 Function reference . . . . .Line . . . . . . . . . . . . .Square . . . . . . . . . . . .Square root . . . . . . . . .Absolute value . . . . . . .Polynomial functions . . . .Sine . . . . . . . . . . . . .Cosine . . . . . . . . . . . .Tangent . . . . . . . . . . .Exponential . . . . . . . . .Natural logarithm . . . . .Function transformations .General quadratic functionGeneral sine function . . . .1.15 Polynomials . . . . . . . . .ivii1....................................................................................................................................................................................................................................................................................................................................................................................................................................34610121519232730343637404646484950515254555657576062621.161.171.181.191.201.211.221.231.241.25Trigonometry . . . . . .Trigonometric identitiesGeometry . . . . . . . .Circle . . . . . . . . . .Ellipse . . . . . . . . . .Hyperbola . . . . . . . .Solving systems of linearCompound interest . . .Set notation . . . . . . .Math problems . . . . .. . . . . .. . . . . .. . . . . .. . . . . .. . . . . .. . . . . .equations. . . . . .. . . . . .. . . . . ...............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................667173757781868991971071071101161211261311321341421441461521551551591681701831881972052152282292392392412522572632 Introduction to physics2.1 Introduction . . . . . . . .2.2 Kinematics . . . . . . . .2.3 Introduction to calculus .2.4 Kinematics with calculus .2.5 Kinematics problems . . .3 Vectors3.1 Great outdoors . .3.2 Vectors . . . . . .3.3 Basis . . . . . . . .3.4 Vector products . .3.5 Complex numbers3.6 Vectors problems .........................................4 Mechanics4.1 Introduction . . . . . . .4.2 Projectile motion . . . .4.3 Forces . . . . . . . . . .4.4 Force diagrams . . . . .4.5 Momentum . . . . . . .4.6 Energy . . . . . . . . . .4.7 Uniform circular motion4.8 Angular motion . . . . .4.9 Simple harmonic motion4.10 Conclusion . . . . . . .4.11 Mechanics problems . .5 Calculus5.1 Introduction . .5.2 Overview . . .5.3 Infinity . . . . .5.4 Limits . . . . .5.5 Limit formulas......................... [ Pobierz całość w formacie PDF ]