# Essential Calculus: With Applications

## Silverman, Richard A.

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Rigorous but accessible text introduces undergraduate-level students to necessary background math, then clear coverage of differential calculus, differentiation as a tool, integral calculus, integration as a tool, and functions of several variables. Numerous problems and a supplementary section of "Hints and Answers." 1977 edition.

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Contenuti:

To the Instructor; To the Student Chapter 1. Mathematical Background 1.1 Introductory Remarks 1.2 Sets 1.3 Numbers 1.4 Inequalities 1.5 The Absolute Value 1.6 Intervals and Neighborhoods 1.7 Rectangular Coordinates 1.8 Straight Lines 1.9 More about Straight Lines Chapter 2. Differential Calculus 2.1 Functions 2.2 More about Functions 2.3 Graphs 2.4 Derivatives and Limits 2.5 More about Derivatives 2.6 More about Limits 2.7 Differentiation Technique 2.8 Further Differentiation Technique 2.9 Other Kinds of Limits Chapter 3. Differentiation as a Tool 3.1 Velocity and Acceleration 3.2 Related Rates and Business Applications 3.3 Properties of Continuous Functions 3.4 Properties of Differentiable Functions 3.5 Applications of the Mean Value Theorem 3.6 Local Extrema 3.7 Concavity and Inflection Points 3.8 Optimization Problems Chapter 4. Integral Calculus 4.1 The Definite Integral 4.2 Properties of Definite Integrals 4.3 The Logarithm 4.4 The Exponential 4.5 More about the Logarithm and Exponential 4.6 Integration Technique 4.7 Improper Integrals Chapter 5. Integration as a Tool 5.1 Elementary Differential Equations 5.2 Problems of Growth and Decay 5.3 Problems of Motion Chapter 6. Functions of Several Variables 6.1 From Two to n Dimensions 6.2 Limits and Differentiation 6.3 The Chain Rule 6.4 Extrema in n Dimensions Tables; Selected Hints and Answers; Supplementary Hints and Answers; Index

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## 1.Essential Calculus with Applications (Paperback)

Editore: Dover Publications Inc., United States (1990)
ISBN 10: 0486660974 ISBN 13: 9780486660974
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Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. Reprint. 231 x 155 mm. Language: English . Brand New Book. Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other precalculus material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of Supplementary Hints and Answers, enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline. Codice libro della libreria AAC9780486660974

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## 2.Essential Calculus with Applications (Paperback)

Editore: Dover Publications Inc., United States (1990)
ISBN 10: 0486660974 ISBN 13: 9780486660974
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Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. Reprint. 231 x 155 mm. Language: English . Brand New Book. Calculus is an extremely powerful tool for solving a host of practical problems in fields as diverse as physics, biology, and economics, to mention just a few. In this rigorous but accessible text, a noted mathematician introduces undergraduate-level students to the problem-solving techniques that make a working knowledge of calculus indispensable for any mathematician. The author first applies the necessary mathematical background, including sets, inequalities, absolute value, mathematical induction, and other precalculus material. Chapter Two begins the actual study of differential calculus with a discussion of the key concept of function, and a thorough treatment of derivatives and limits. In Chapter Three differentiation is used as a tool; among the topics covered here are velocity, continuous and differentiable functions, the indefinite integral, local extrema, and concrete optimization problems. Chapter Four treats integral calculus, employing the standard definition of the Riemann integral, and deals with the mean value theorem for integrals, the main techniques of integration, and improper integrals. Chapter Five offers a brief introduction to differential equations and their applications, including problems of growth, decay, and motion. The final chapter is devoted to the differential calculus of functions of several variables. Numerous problems and answers, and a newly added section of Supplementary Hints and Answers, enable the student to test his grasp of the material before going on. Concise and well written, this text is ideal as a primary text or as a refresher for anyone wishing to review the fundamentals of this crucial discipline. Codice libro della libreria AAC9780486660974

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## 3.Essential Calculus with Applications (Dover Books on Advanced Mathematics)

Editore: Dover Publications Inc. 1990-07-01 (1990)
ISBN 10: 0486660974 ISBN 13: 9780486660974
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Descrizione libro Dover Publications Inc. 1990-07-01, 1990. Paperback. Condizione libro: New. Codice libro della libreria NU-ING-00554702

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## 4.Essential Calculus with Applications

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Descrizione libro Dover Publications Inc. Paperback. Condizione libro: new. BRAND NEW, Essential Calculus with Applications, Richard A. Silverman. Codice libro della libreria B9780486660974

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## 5.Essential Calculus with Applications

Editore: Dover Publications Inc., New York
ISBN 10: 0486660974 ISBN 13: 9780486660974
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Descrizione libro Dover Publications Inc., New York. paperback. Condizione libro: New. Codice libro della libreria 9780486660974

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## 6.Essential Calculus with Applications

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Descrizione libro Dover Publications Inc., 1990. PAP. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780486660974

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## 7.Essential Calculus with Applications (Dover Books on Mathematics)

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486660974 Brand New Book. Ships from the United States. 30 Day Satisfaction Guarantee!. Codice libro della libreria 15238691

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## 8.Essential Calculus with Applications (Dover Books on Mathematics)

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Descrizione libro Dover Publications, Inc., 1989. Condizione libro: New. *Price HAS BEEN temporarily REDUCED by 10% until Monday, March 27. Order now for BEST SAVINGS* 320 pp., Paperback, NEW!!. Codice libro della libreria ZB1059960

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## 9.Essential Calculus

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Descrizione libro Dover Pubns, 1989. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486660974

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## 10.Essential Calculus with Applications (Dover Books on Mathematics)

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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486660974. Codice libro della libreria Z0486660974ZN

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