{"product_id":"understanding-calculus-isbn-9780471433071","title":"Understanding Calculus","description":"Everything you need to know-basic essential concepts-about calculus\u003cbr\u003e \u003cbr\u003e For anyone looking for a readable alternative to the usual unwieldy calculus text, here's a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers.\u003cbr\u003e \u003cbr\u003e Understanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first edition's comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green's theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus.\u003cbr\u003e \u003cbr\u003e If the dry \"theorem-and-proof\" approach just doesn't work, and the traditional twenty pound calculus textbook is just too much, this book is for you. \u003cp\u003eAUTHOR'S MESSAGE TO THE READER vii\u003c\/p\u003e \u003cp\u003eANNOTATED TABLE OF CONTENTS ix\u003c\/p\u003e \u003cp\u003eACKNOWLEDGMENTS xv\u003c\/p\u003e \u003cp\u003eCHAPTER 1 Lines 1\u003c\/p\u003e \u003cp\u003eCHAPTER 2 Parabolas, Ellipses, Hyperbolas 7\u003c\/p\u003e \u003cp\u003eCHAPTER 3 Differentiation 13\u003c\/p\u003e \u003cp\u003eCHAPTER 4 Differentiation Formulas 19\u003c\/p\u003e \u003cp\u003eCHAPTER 5 The Chain Rule 25\u003c\/p\u003e \u003cp\u003eCHAPTER 6 Trigonometric Functions 31\u003c\/p\u003e \u003cp\u003eCHAPTER 7 Exponential Functions and Logarithms 39\u003c\/p\u003e \u003cp\u003eCHAPTER 8 Inverse Functions 45\u003c\/p\u003e \u003cp\u003eCHAPTER 9 Derivatives and Graphs 51\u003c\/p\u003e \u003cp\u003eCHAPTER 10 Following the Tangent Line 57\u003c\/p\u003e \u003cp\u003eCHAPTER 11 The Indefinite Integral 63\u003c\/p\u003e \u003cp\u003eCHAPTER 12 The Definite Integral 69\u003c\/p\u003e \u003cp\u003eCHAPTER 13 Work, Volume, and Force 75\u003c\/p\u003e \u003cp\u003eCHAPTER 14 Parametric Equations 81\u003c\/p\u003e \u003cp\u003eCHAPTER 15 Change of Variable 87\u003c\/p\u003e \u003cp\u003eCHAPTER 16 Integrating Rational Functions 91\u003c\/p\u003e \u003cp\u003eCHAPTER 17 Integration By Parts 97\u003c\/p\u003e \u003cp\u003eCHAPTER 18 Trigonometric Integrals 101\u003c\/p\u003e \u003cp\u003eCHAPTER 19 Trigonometric Substitution 107\u003c\/p\u003e \u003cp\u003eCHAPTER 20 Numerical Integration 115\u003c\/p\u003e \u003cp\u003eCHAPTER 21 Limits At oo; Sequences 119\u003c\/p\u003e \u003cp\u003eCHAPTER 22 Improper Integrals 127\u003c\/p\u003e \u003cp\u003eCHAPTER 23 Series 133\u003c\/p\u003e \u003cp\u003eCHAPTER 24 Power Series 141\u003c\/p\u003e \u003cp\u003eCHAPTER 25 Taylor Polynomials 149\u003c\/p\u003e \u003cp\u003eCHAPTER 26 Taylor Series 155\u003c\/p\u003e \u003cp\u003eCHAPTER 27 Separable Differential Equations 161\u003c\/p\u003e \u003cp\u003eCHAPTER 28 First-Order Linear Equations 167\u003c\/p\u003e \u003cp\u003eCHAPTER 29 Homogeneous Second-Order Linear Equations 173\u003c\/p\u003e \u003cp\u003eCHAPTER 30 Nonhomogeneous Second-Order Equations 179\u003c\/p\u003e \u003cp\u003eCHAPTER 31 Vectors 185\u003c\/p\u003e \u003cp\u003eCHAPTER 32 The Dot Product 195\u003c\/p\u003e \u003cp\u003eCHAPTER 33 Lines and Planes in Space 201\u003c\/p\u003e \u003cp\u003eCHAPTER 34 Surfaces 211\u003c\/p\u003e \u003cp\u003eCHAPTER 35 Partial Derivatives 217\u003c\/p\u003e \u003cp\u003eCHAPTER 36 Tangent Plane and Differential Approximation\u003c\/p\u003e \u003cp\u003eCHAPTER 37 Chain Rules 227\u003c\/p\u003e \u003cp\u003eCHAPTER 38 Gradient and Directional Derivatives 233\u003c\/p\u003e \u003cp\u003eCHAPTER 39 Maxima and Minima 239\u003c\/p\u003e \u003cp\u003eCHAPTER 40 Double Integrals 245\u003c\/p\u003e \u003cp\u003eCHAPTER 41 Line Integrals 255\u003c\/p\u003e \u003cp\u003eCHAPTER 42 Green's Theorem 259\u003c\/p\u003e \u003cp\u003eCHAPTER 43 Exact Differentials 267\u003c\/p\u003e \u003cp\u003eANSWERS 273\u003c\/p\u003e \u003cp\u003eINDEX 299\u003c\/p\u003e \u003cp\u003eABOUT THE AUTHOR 303\u003c\/p\u003e  \"...expands coverage to vectors and calculus of several variables...plenty of worked out problems...\" (\u003ci\u003eAmerican Mathematical Monthly\u003c\/i\u003e, August\/September 2003)  \u003cp\u003e\"...material included is well formulated and approachable...recommended.\" (\u003ci\u003eChoice\u003c\/i\u003e, Vol. 41, No. 1, September 2003)\u003c\/p\u003e H. S. BEAR, PhD, is a prolific author who has published several pre-calculus texts and an intermediate-level differential equations text, in addition to numerous research articles. His most recent works include two more advanced texts in analysis: A Primer of Lebesgue Integration, Second Edition and An Introduction to Mathematical Analysis. A dedicated educator, Dr. Bear has taught at six major western state universities before moving to Hawaii, where he has spent most of his career. Dr. Bear has served both as Department Chairman and Graduate Chairman at the University of Hawaii.   Everything you need to know–basic essential concepts–about calculus  \u003cp\u003eFor anyone looking for a readable alternative to the usual unwieldy calculus text, here’s a concise, no-nonsense approach to learning calculus. Following up on the highly popular first edition of Understanding Calculus, Professor H. S. Bear offers an expanded, improved edition that will serve the needs of every mathematics and engineering student, or provide an easy-to-use refresher text for engineers.\u003c\/p\u003e \u003cp\u003eUnderstanding Calculus, Second Edition provides in a condensed format all the material covered in the standard two-year calculus course. In addition to the first edition’s comprehensive treatment of one-variable calculus, it covers vectors, lines, and planes in space; partial derivatives; line integrals; Green’s theorem; and much more. More importantly, it teaches the material in a unique, easy-to-read style that makes calculus fun to learn. By explaining calculus concepts through simple geometric and physical examples rather than formal proofs, Understanding Calculus, Second Edition, makes it easy for anyone to master the essentials of calculus.\u003c\/p\u003e \u003cp\u003eIf the dry \"theorem-and-proof\" approach just doesn’t work, and the traditional twenty pound calculus textbook is just too much, this book is for you.\u003c\/p\u003e","brand":"Wiley-IEEE Press","offers":[{"title":"Default Title","offer_id":47990427779301,"sku":"NP9780471433071","price":135.95,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9780471433071.jpg?v=1761787786","url":"https:\/\/k12savings.com\/products\/understanding-calculus-isbn-9780471433071","provider":"K12savings","version":"1.0","type":"link"}