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Precalculus: Functions and Graphs, Enhanced Edition 12th edition [Mīkstie vāki]

3.23/5 (26 ratings by Goodreads)
(Anoka-Ramsey Community College), (late of Marquette University)
  • Formāts: Paperback / softback, 992 pages, height x width x depth: 33x203x248 mm, weight: 1655 g
  • Izdošanas datums: 14-Jan-2016
  • Izdevniecība: Brooks/Cole
  • ISBN-10: 1305663098
  • ISBN-13: 9781305663091
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  • Mīkstie vāki
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  • Formāts: Paperback / softback, 992 pages, height x width x depth: 33x203x248 mm, weight: 1655 g
  • Izdošanas datums: 14-Jan-2016
  • Izdevniecība: Brooks/Cole
  • ISBN-10: 1305663098
  • ISBN-13: 9781305663091
Citas grāmatas par šo tēmu:
Clear explanations, an uncluttered and appealing layout, and examples and exercises featuring a variety of real-life applications have made this text popular among students year after year. This Enhanced Edition of Swokowski and Cole's PRECALCULUS: FUNCTIONS AND GRAPHS retains these features, and also has an additional chapter on Limits (Chapter 11) and an Appendix V that includes proofs related to this new chapter. The problems have been consistently praised for being at just the right level for precalculus students like you. The book also provides calculator examples, including specific keystrokes that show you how to use various graphing calculators to solve problems more quickly. Perhaps most important, this book effectively prepares you for further courses in mathematics.
List of Graphing Calculator Topics ix
Preface xi
Chapter 1 Topics From Algebra 1(80)
1.1 Real Numbers
2(14)
1.2 Exponents and Radicals
16(11)
1.3 Algebraic Expressions
27(14)
1.4 Equations
41(16)
1.5 Complex Numbers
57(7)
1.6 Inequalities
64(11)
Chapter 1 Review Exercises
75(2)
Chapter 1 Discussion Exercises
77(2)
Chapter 1 Test
79(2)
Chapter 2 Functions And Graphs 81(102)
2.1 Rectangular Coordinate Systems
82(7)
2.2 Graphs of Equations
89(15)
2.3 Lines
104(16)
2.4 Definition of Function
120(16)
2.5 Graphs of Functions
136(15)
2.6 Quadratic Functions
151(14)
2.7 Operations on Functions
165(9)
Chapter 2 Review Exercises
174(6)
Chapter 2 Discussion Exercises
180(1)
Chapter 2 Test
181(2)
Chapter 3 Polynomial And Rational Functions 183(66)
3.1 Polynomial Functions of Degree Greater Than 2
184(10)
3.2 Properties of Division
194(7)
3.3 Zeros of Polynomials
201(12)
3.4 Complex and Rational Zeros of Polynomials
213(8)
3.5 Rational Functions
221(15)
3.6 Variation
236(8)
Chapter 3 Review Exercises
244(2)
Chapter 3 Discussion Exercises
246(1)
Chapter 3 Test
247(2)
Chapter 4 Inverse, Exponential, And Logarithmic Functions 249(74)
4.1 Inverse Functions
250(11)
4.2 Exponential Functions
261(13)
4.3 The Natural Exponential Function
274(9)
4.4 Logarithmic Functions
283(14)
4.5 Properties of Logarithms
297(8)
4.6 Exponential and Logarithmic Equations
305(11)
Chapter 4 Review Exercises
316(3)
Chapter 4 Discussion Exercises
319(3)
Chapter 4 Test
322(1)
Chapter 5 The Trigonometric Functions 323(92)
5.1 Angles
324(10)
5.2 Trigonometric Functions of Angles
334(15)
5.3 Trigonometric Functions of Real Numbers
349(17)
5.4 Values of the Trigonometric Functions
366(7)
5.5 Trigonometric Graphs
373(13)
5.6 Additional Trigonometric Graphs
386(7)
5.7 Applied Problems
393(12)
Chapter 5 Review Exercises
405(6)
Chapter 5 Discussion Exercises
411(1)
Chapter 5 Test
412(3)
Chapter 6 Analytic Trigonometry 415(66)
6.1 Verifying Trigonometric Identities
416(6)
6.2 Trigonometric Equations
422(14)
6.3 The Addition and Subtraction Formulas
436(10)
6.4 Multiple-Angle Formulas
446(9)
6.5 Product-to-Sum and Sum-to-Product Formulas
455(5)
6.6 The Inverse Trigonometric Functions
460(15)
Chapter 6 Review Exercises
475(2)
Chapter 6 Discussion Exercises
477(2)
Chapter 6 Test
479(2)
Chapter 7 Applications Of Trigonometry 481(62)
7.1 The Law of Sines
482(9)
7.2 The Law of Cosines
491(9)
7.3 Vectors
500(14)
7.4 The Dot Product
514(10)
7.5 Trigonometric Form for Complex Numbers
524(6)
7.6 De Moivre's Theorem and nth Roots of Complex Numbers
530(5)
Chapter 7 Review Exercises
535(3)
Chapter 7 Discussion Exercises
538(2)
Chapter 7 Test
540(3)
Chapter 8 Systems Of Equations And Inequalities 543(92)
8.1 Systems of Equations
544(9)
8.2 Systems of Linear Equations in Two Variables
553(9)
8.3 Systems of Inequalities
562(7)
8.4 Linear Programming
569(8)
8.5 Systems of Linear Equations in More Than Two Variables
577(15)
8.6 The Algebra of Matrices
592(9)
8.7 The Inverse of a Matrix
601(6)
8.8 Determinants
607(6)
8.9 Properties of Determinants
613(8)
8.10 Partial Fractions
621(6)
Chapter 8 Review Exercises
627(3)
Chapter 8 Discussion Exercises
630(2)
Chapter 8 Test
632(3)
Chapter 9 Sequences, Series, And Probability 635(80)
9.1 Infinite Sequences and Summation Notation
636(13)
9.2 Arithmetic Sequences
649(7)
9.3 Geometric Sequences
656(10)
9.4 Mathematical Induction
666(6)
9.5 The Binomial Theorem
672(8)
9.6 Permutations
680(7)
9.7 Distinguishable Permutations and Combinations
687(7)
9.8 Probability
694(15)
Chapter 9 Review Exercises
709(2)
Chapter 9 Discussion Exercises
711(2)
Chapter 9 Test
713(2)
Chapter 10 Topics From Analytic Geometry 715(74)
10.1 Parabolas
716(9)
10.2 Ellipses
725(13)
10.3 Hyperbolas
738(11)
10.4 Plane Curves and Parametric Equations
749(13)
10.5 Polar Coordinates
762(14)
10.6 Polar Equations of Conics
776(6)
Chapter 10 Review Exercises
782(2)
Chapter 10 Discussion Exercises
784(2)
Chapter 10 Test
786(3)
Chapter 11 Limits Of Functions 789
11.1 Introduction to Limits
790(10)
11.2 Definition of Limit
800(8)
11.3 Techniques for Finding Limits
808(9)
11.4 Limits Involving Infinity
817(12)
Chapter 11 Review Exercises
829(1)
Chapter 11 Discussion Exercises
830(1)
Chapter 11 Test
831
Appendixes APP1
I Common Graphs and Their Equations
APP2
II A Summary of Graph Transformations
APP4
III Graphs of Trigonometric Functions and Their Inverses
APP6
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle
APP8
V Theorems on Limits
APP9
Answers to Selected Exercises A1
Index A85
Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole. Jeffery A. Cole has been teaching mathematics and computer science at Anoka-Ramsey Community College since fall 1981. He started working on the Swokowski series of precalculus texts in 1985 as an ancillary author, and has been a co-author since 1991. His contribution to the Swokowski texts also includes joining the revision team of the calculus text in 1989.