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College Algebra de Ron Larson

College Algebra

Autor Ron Larson
en Limba Engleză Hardback – 31 dec 2016

Apreciem autoritatea academică a lui Ron Larson, profesor la Penn State University, a cărui vastă experiență în pedagogia matematică fundamentează ediția a 11-a a volumului College Algebra. Cu un portofoliu ce cuprinde zeci de manuale, autorul a rafinat în această lucrare o metodologie care elimină barierele de învățare prin explicații clare și suport digital integrat. Găsim în acest volum o continuitate logică față de alte lucrări fundamentale ale sale, precum Calculus, unde accentul cade pe demonstrarea regulilor matematice prin experiențe de învățare actualizate și suport vizual.

Structura manualului este riguros organizată pentru a asigura o tranziție lină către concepte avansate. Lucrarea debutează cu o secțiune esențială de „Prerechizite”, care revizuiește proprietățile numerelor reale, exponenții și polinoamele, oferind o bază solidă înainte de a aborda ecuațiile, inegalitățile și modelarea matematică. Ulterior, progresia narativă a cursului ghidează studentul prin analiza graficelor și a funcțiilor compuse sau inverse. Credem că elementul distinctiv al acestei ediții îl reprezintă exercițiile „How Do You See It?”, care solicită aplicarea conceptelor în scenarii concrete, alături de secțiunile „Review & Refresh” menite să consolideze abilitățile dobândite anterior.

Deși în lista de titluri similare regăsim abordări diferite ale algebrei, cititorii familiarizați cu Calculus de același autor vor aprecia consecvența stilului didactic și integrarea platformelor CalcChat.com și CalcView.com. Această ediție nu se limitează la teorie, ci pune la dispoziția studentului soluții video și asistență online, transformând manualul într-un instrument de lucru interactiv, adaptat cerințelor curriculare moderne.

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Specificații

ISBN-13: 9781337282291
ISBN-10: 1337282294
Pagini: 752
Dimensiuni: 225 x 285 x 32 mm
Greutate: 1.7 kg
Editura: CENGAGE LEARNING INC

De ce să citești această carte

Recomandăm acest manual studenților care au nevoie de o bază solidă în algebră pentru cursuri avansate de matematică. Cititorul câștigă acces la o metodologie testată, care combină rigoarea academică a lui Ron Larson cu instrumente digitale practice. Este o alegere excelentă pentru cei care doresc să înțeleagă aplicabilitatea matematicii în viața reală prin exerciții de modelare și recapitulări constante.

Despre autor

Ron Larson deține un doctorat în matematică obținut la University of Colorado în 1970 și este, în prezent, profesor la Penn State University. Este recunoscut la nivel internațional ca autor principal al peste 24 de manuale de matematică, acoperind un spectru larg, de la nivelul clasei a șasea până la calcul diferențial și integral. Expertiza sa pedagogică se concentrează pe dezvoltarea unor materiale didactice care să faciliteze înțelegerea conceptelor abstracte prin tehnologie și aplicații practice, fiind un pionier în integrarea suportului digital în educația matematică.

Descriere

Revised edition of: College algebra / Ron Larson. Ninth edition. 2014.

Notă biografică

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS -- a complete text on CD-ROM that was the first mainstream college textbook to be offered on the internet.

Cuprins

P. PREREQUISITES. Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 1 .EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING. Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 2. FUNCTIONS AND THEIR GRAPHS. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving. 3. POLYNOMIAL FUNCTIONS. Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 4. RATIONAL FUNCTIONS AND CONICS. Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 7. MATRICES AND DETERMINANTS. Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 8. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving. APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS. APPENDIX B CONCEPTS IN STATISTICS (WEB). Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.

Recenzii

P. PREREQUISITES. Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 1 .EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING. Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 2. FUNCTIONS AND THEIR GRAPHS. Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving. 3. POLYNOMIAL FUNCTIONS. Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 4. RATIONAL FUNCTIONS AND CONICS. Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 7. MATRICES AND DETERMINANTS. Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving. 8. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving. APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS. APPENDIX B CONCEPTS IN STATISTICS (WEB). Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.