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Algebra and Trigonometry de Richard Aufmann

Algebra and Trigonometry

Autor Richard Aufmann, Richard Nation
en Limba Engleză Hardback – 2014

Destinat nivelului de licență, acest manual de referință reprezintă un instrument de bază pentru cursurile introductive de matematică aplicată. Observăm în ediția a 8-a a lucrării Algebra and Trigonometry de Richard Aufmann și Richard Nation un accent sporit pe autonomia studentului, susținut prin metoda interactivă brevetată de autori (AIM). Această metodă transformă lectura pasivă într-un proces activ, oferind exerciții de tip „Try” imediat după fiecare exemplu teoretic, servind drept punct de control esențial înainte de trecerea la teme sau examene. Structura volumului publicat de CENGAGE LEARNING urmărește o progresie logică, începând cu conceptele preliminare despre numere reale și exponenți, continuând cu ecuații, inegalități și studiul aprofundat al funcțiilor și graficelor. Apreciem în mod deosebit includerea secțiunilor „Exploring Concepts with Technology”, care facilitează utilizarea calculatoarelor grafice, și evidențierea notelor de recapitulare care ancorează noile noțiuni în cunoștințele anterior dobândite. Alternativă la Precalculus de Marvin L. Bittinger pentru cursurile de algebră de colegiu, acest manual oferă avantajul unei metodologii pedagogice mai riguros structurate pe feedback imediat, în timp ce Mymathlab for Trigsted Precalculus de Kirk Trigsted se bazează mai mult pe platforme digitale externe. Algebra and Trigonometry rămâne o resursă stabilă în format fizic (hardback), asigurând tot suportul teoretic și practic necesar pentru atingerea fluenței matematice fără a depinde exclusiv de accesul online.

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Specificații

ISBN-13: 9781285449425
ISBN-10: 1285449428
Pagini: 1088
Dimensiuni: 224 x 279 x 38 mm
Greutate: 2.29 kg
Ediția:8th edition
Editura: CENGAGE LEARNING

De ce să citești această carte

Recomandăm această ediție a 8-a studenților care doresc să stăpânească fundamentele algebrei și trigonometriei prin studiu individual. Metoda interactivă Aufmann și notele de recapitulare incluse ajută la eliminarea lacunelor și la consolidarea progresivă a cunoștințelor. Este o resursă excelentă pentru cei care au nevoie de o structură clară, exerciții verificate și ghidaj în utilizarea tehnologiei de calcul în matematică.

Cuprins

PRELIMINARY CONCEPTS. The Real Number System. Integer and Rational Number Exponents. Polynomials. Mid-Chapter P Quiz. Factoring. Rational Expressions. Complex Numbers. Exploring Concepts with Technology. Chapter P Test Prep. Chapter P Review Exercises. Chapter P Test. 1. EQUATIONS AND INEQUALITIES. Linear and Absolute Value Equations. Formulas and Applications. Quadratic Equations. Mid-Chapter 1 Quiz. Other Types of Equations. Inequalities. Variation and Applications. Exploring Concepts with Technology. Chapter 1 Test Prep. Chapter 1 Review Exercises. Chapter 1 Test. Cumulative Review Exercises. 2. FUNCTIONS AND GRAPHS. Two-Dimensional Coordinate System and Graphs. Introduction to Functions. Linear Functions. Mid-Chapter 2 Quiz. Quadratic Functions. Properties of Graphs. Algebra of Functions. Modeling Data using Regression. Exploring Concepts with Technology. Chapter 2 Test Prep. Chapter 2 Review Exercises. Chapter 2 Test. Chapter 2 Cumulative Review Exercises. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Remainder Theorem and Factor Theorem. Polynomial Functions of Higher Degree. Zeros of Polynomial Functions. Mid-Chapter 3 Quiz. Fundamental Theorem of Algebra. Graphs of Rational Functions and Their Applications. Exploring Concepts with Technology. Chapter 3 Test Prep. Chapter 3 Review Exercises. Chapter 3 Test. Cumulative Review Exercises. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Inverse Functions. Exponential Functions and Their Applications. Logarithmic Functions and Their Applications. Properties of Logarithms and Logarithmic Scales. Mid-Chapter 4 Quiz. Exponential and Logarithmic Equations. Exponential Growth and Decay. Modeling Data with Exponential and Logarithmic Functions. Exploring Concepts with Technology. Chapter 4 Test Prep. Chapter 4 Review Exercises. Chapter 4 Test. Cumulative Review Exercises. 5. TRIGONOMETRIC FUNCTIONS. Angles and Arcs. Right Triangle Trigonometry. Trigonometric Functions of Any Angle. Trigonometric Functions of Real Numbers. Mid-Chapter 5 Quiz. Graphs of the Sine and Cosine Functions. Graphs of the Other Trigonometric Functions. Graphing Techniques. Harmonic Motion--An Application of the Sine and Cosine Functions. Exploring Concepts with Technology. Chapter 5 Test Prep. Chapter 5 Review Exercises. Chapter 5 Test. Cumulative Review Exercises. 6. TRIGONOMETRIC IDENTITIES AND EQUATIONS. Verification of Trigonometric Identities. Sum, Difference, and Cofunction Identities. Double- and Half-Angle Identities. Mid-Chapter 6 Quiz. Identities Involving the Sum of Trigonometric Functions. Inverse Trigonometric Functions. Trigonometric Equations. Exploring Concepts with Technology. Chapter 6 Test Prep. Chapter 6 Review Exercises. Chapter 6 Test. Cumulative Review Exercises. 7. APPLICATIONS OF TRIGONOMETRY. Law of Sines. Law of Cosines and Area. Vectors. Mid-Chapter 7 Quiz. Trigonometric Form of Complex Numbers. De Moivre's Theorem. Exploring Concepts with Technology. Chapter 7 Test Prep. Chapter 7 Review Exercises. Chapter 7 Test. Cumulative Review Exercises. 8. TOPICS IN ANALYTIC GEOMETRY. Parabolas. Ellipses. Hyperbolas. Rotation of Axes. Mid-Chapter 8 Quiz. Introduction to Polar Coordinates. Polar Equations of the Conics. Parametric Equations of the Conics. Exploring Concepts with Technology. Chapter 8 Test Prep. Chapter 8 Review Exercises. Chapter 8 Test. Cumulative Review Exercises. 9. SYSTEMS OF EQUATIONS AND INEQUALITIES. Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Nonlinear Systems of Equations. Mid-Chapter 9 Quiz. Partial Fractions. Inequalities in Two Variables and Systems of Inequalities. Linear Programming. Exploring Concepts with Technology. Chapter 9 Test Prep. Chapter 9 Review Exercises. Chapter 9 Test. Cumulative Review Exercises. 10. MATRICES. Gaussian Elimination Method. Algebra of Matrices. Inverse of a Matrix. Mid-Chapter 10 Quiz. Determinants. Exploring Concepts with Technology. Chapter 10 Test Prep. Chapter 10 Review Exercises. Chapter 10 Test. Cumulative Review Exercises. 11. SEQUENCES, SERIES, AND PROBABILITY. Infinite Sequences and Summation Notation. Arithmetic Sequences and Series. Geometric Sequences and Series. Mid-Chapter 11 Quiz. Mathematical Induction. Binomial Theorem. Permutations and Combinations. Introduction to Probability. Exploring Concepts with Technology. Chapter 11 Test Prep. Chapter 11 Review Exercises. Chapter 11 Test. Cumulative Review Exercises. Solutions to the Try Exercises. Answers to Selected Exercises. Instructor Additional Answers. Index.

Descriere

Accessible to students and flexible for instructors, COLLEGE ALGEBRA AND TRIGONOMETRY, Eight Edition, incorporates the dynamic link between concepts and applications to bring mathematics to life. By integrating interactive learning techniques, the Aufmann team helps students to better understand concepts, work independently, and obtain greater mathematical fluency. The text also includes technology features to accommodate courses that allow the option of using graphing calculators. The authors' proven Aufmann Interactive Method allows students to try a skill as it is presented in example form. This interaction between the examples and Try Exercises serves as a checkpoint to students as they read the textbook, do their homework, or study a section. In the eighth edition, Review Notes are featured more prominently throughout the text to help students recognize the key prerequisite skills needed to understand new concepts. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.