Algebra and Trigonometry

Author:   Sheldon Axler
Publisher:   John Wiley & Sons Inc
ISBN:  

9780470585795


Pages:   784
Publication Date:   08 March 2011
Format:   Hardback
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

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Algebra and Trigonometry


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Full Product Details

Author:   Sheldon Axler
Publisher:   John Wiley & Sons Inc
Imprint:   John Wiley & Sons Inc
Dimensions:   Width: 20.60cm , Height: 3.10cm , Length: 25.40cm
Weight:   1.452kg
ISBN:  

9780470585795


ISBN 10:   047058579
Pages:   784
Publication Date:   08 March 2011
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

About the Author v Preface to the Instructor xvi WileyPLUS xxii Acknowledgments xxiii Preface to the Student xxvi 1 The Real Numbers 1 1.1 The Real Line 2 1.2 Algebra of the Real Numbers 7 1.3 Inequalities, Intervals, and Absolute Value 24 2 Combining Algebra and Geometry 41 2.1 The Coordinate Plane 42 2.2 Lines 57 2.3 Quadratic Expressions and Conic Sections 75 2.4 Area 98 3 Functions and Their Graphs 117 3.1 Functions 118 3.2 Function Transformations and Graphs 142 3.3 Composition of Functions 165 3.4 Inverse Functions 180 3.5 A Graphical Approach to Inverse Functions 197 4 Polynomial and Rational Functions 213 4.1 Integer Exponents 214 4.2 Polynomials 227 4.3 Rational Functions 245 4.4 Complex Numbers 262 5 Exponents and Logarithms 279 5.1 Exponents and Exponential Functions 280 5.2 Logarithms as Inverses of Exponential Functions 293 5.3 Applications of Logarithms 310 5.4 Exponential Growth 328 6 e and the Natural Logarithm 349 6.1 Defining e and ln 350 6.2 Approximations and area with e and ln 366 6.3 Exponential Growth Revisited 376 7 Systems of Equations 387 7.1 Equations and Systems of Equations 388 7.2 Solving Systems of Linear Equations 399 7.3 Solving Systems of Linear Equations Using Matrices 411 7.4 Matrix Algebra 424 8 Sequences, Series, and Limits 447 8.1 Sequences 448 8.2 Series 463 8.3 Limits 483 9 Trigonometric Functions 497 9.1 The Unit Circle 498 9.2 Radians 514 9.3 Cosine and Sine 529 9.4 More Trigonometric Functions 542 9.5 Trigonometry in Right Triangles 555 9.6 Trigonometric Identities 566 10 Trigonometric Algebra and Geometry 583 10.1 Inverse Trigonometric Functions 584 10.2 Inverse Trigonometric Identities 599 10.3 Using Trigonometry to Compute Area 613 10.4 The Law of Sines and the Law of Cosines 628 10.5 Double-Angle and Half-Angle Formulas 644 10.6 Addition and Subtraction Formulas 658 11 Applications of Trigonometry 671 11.1 Parametric Curves 672 11.2 Transformations of Trigonometric Functions 687 11.3 Polar Coordinates 705 11.4 Vectors 718 11.5 The Complex Plane 732 Photo Credits 743 Index 745

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Author Information

Sheldon Axler is well-known within the mathematics community. He has an Ivy League education, having received his AB in mathematics from Princeton in 1971, and his PhD in mathematics from UC Berkeley in 1975. Currently, Sheldon is the Dean of the College of Science and Engineering at SFSU. Previously, he held teaching positions at Michigan State, UC Berkeley, Indiana University, and MIT. He has received numerous grants, awards, and fellowships throughout his career. He regularly speaks at conferences and conventions and has done extensive writing in his discipline. Notably, he is the author of a successful textbook for the second course in linear Algebra, published with Springer and has held several editorial positions for mathematics journals and is currently a series editor for Springer. As the author for Wiley's Precalculus: A Prelude to Calculus, Sheldon has shown himself an able and willing promoter of his title, garnering the interest of his colleagues nationwide and proving himself a valuable and responsive resource for our sales force.

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