Name: Calculus Early Transcendentals With CD (OLD)
Brand: Amit Book Depot
Price: 700 INR
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James Stewart’s Calculus: Early Transcendentals with CD provides a rigors yet accessible introduction to the fundamental concepts of calculus, specifically designed for science, engineering, and mathematics majors. This comprehensive book integrates the “Early Transcendentals” approach—introducing exponential, logarithmic, and trigonometric functions prior to integration techniques—to facilitate a deeper, more intuitive understanding of limits, derivatives, and integrals. Published by Thomson Brooks/Cole, this edition includes a supplementary CD-ROM packed with interactive learning tools, making it an ideal solution for both classroom instruction and independent study.

Complete Syllabus Coverage

The text systematically progresses from foundational principles to advanced multivariable calculus, ensuring students build confidence at every stage. The content is structured to align with a standard three-semester calculus sequence.

Part One: Single-Variable Calculus

- Functions and Models (Ch. 1): Begins with essential precalculus concepts, mathematical modelling, and transformations of functions.

- Limits and Derivatives (Ch. 2): Introduces the limit definition of the derivative, continuity, and tangent line problems.

- Differentiation Rules (Ch. 3): Covers product, quotient, chain rules, implicit differentiation, and derivatives of exponential/logarithmic functions (Early Transcendentals focus).

- Applications of Differentiation (Ch. 4): Explores optimisation, related rates, curve sketching, and L'Hôpital's Rule.

- Integrals (Ch. 5): Defines the definite and indefinite integral, the Fundamental Theorem of Calculus, and Riemann sums.

- Applications of Integration (Ch. 6): Includes area between curves, volume of solids of revolution, and average value of a function.

- Techniques of Integration (Ch. 7): Mastery of integration by parts, trigonometric integrals, partial fractions, and improper integrals.

- Further Applications (Ch. 8): Arc length, surface area of revolution, and physical applications (work, hydrostatic pressure).

- Differential Equations (Ch. 9): Introduces separable and first-order linear differential equations, plus logistic growth models.

- Parametric Equations & Polar Coordinates (Ch. 10): Parametric curves, polar graphing, and area in polar coordinates.

- Infinite Sequences & Series (Ch. 11): Convergence/divergence tests, power series, Taylor and Maclaurin series.

Part Two: Multivariable Calculus

- Vectors and Geometry of Space (Ch. 12): Dot/cross products, equations of lines and planes, quadric surfaces.

- Vector Functions (Ch. 13): Space curves, velocity/acceleration vectors, and curvature.

- Partial Derivatives (Ch. 14): Limits of multivariable functions, tangent planes, directional derivatives, and Lagrange multipliers.

- Multiple Integrals (Ch. 15): Double and triple integrals in rectangular, polar, cylindrical, and spherical coordinates.

- Vector Calculus (Ch. 16): Line integrals, Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem.

- Second-Order Differential Equations (Ch. 17): Homogeneous and nonhomogeneous linear ODEs with constant coefficients.

Key Features & CD-ROM Content

- Included CD-ROM: Features interactive visualisations, additional problem sets, lecture videos, and step-by-step solutions to selected exercises. This digital supplement reinforces graphical, numerical, and algebraic understanding.

- Problem Sets: Thousands of graded exercises ranging from computational drills to real-world applied problems.

- Conceptual Focus: “Concept Check” and “True-False Quiz” sections at each chapter’s end prepare students for exams.

- Appendices: Includes algebra/trigonometry reviews, proofs, and additional tables.

This book by James Stewart, through Thomson Brooks/Cole, remains a gold standard for calculus education, balancing theoretical rigour with practical application.

Have Doubts Regarding This Product ? Ask Your Question

Q1

Does this book cover both single-variable and multivariable calculus?

A1

Yes. Chapters 1-11 cover single-variable calculus (limits, derivatives, integrals, series). Chapters 12-16 cover multivariable topics including partial derivatives and vector calculus.
Q2

What is the “Early Transcendentals” approach mentioned in the title?

A2

It introduces exponential, logarithmic, and trigonometric functions before integration techniques, allowing earlier use of these functions in derivative and limit problems throughout the text.
Q3

Is the CD-ROM essential for using this textbook?

A3

No, the textbook is complete alone. The CD-ROM supplements learning with interactive visualizations, extra practice problems, and lecture clips for difficult topics like vector functions.
Q4

Which chapter covers optimization problems in business or engineering?

A4

Chapter 4 (Applications of Differentiation) covers optimization, related rates, and curve sketching. Physical applications like work and pressure appear in Chapter 8.
Q5

Are differential equations fully covered in this text?

A5

Yes. Chapter 9 introduces first-order ODEs. Chapter 17 covers second-order linear ODEs with constant coefficients, including homogeneous and nonhomogeneous cases.
Q6

Does this book include parametric equations and polar coordinates?

A6

Yes, Chapter 10 is dedicated to parametric equations, polar coordinates, and areas in polar form, essential for calculus on non-rectangular curves.
Q7

How many appendices are included, and what do they cover?

A7

Several appendices review algebra, trigonometry, geometry, and mathematical induction. Also includes proofs of key theorems and a table of integrals.
Q8

Does the book explain Riemann sums and the Fundamental Theorem of Calculus?

A8

Yes, Chapter 5 (Integrals) rigorously defines Riemann sums, the definite integral, and the Fundamental Theorem of Calculus connecting derivatives to integrals.
Q9

Does this text cover triple integrals and coordinate transformations?

A9

Yes. Chapter 15 (Multiple Integrals) covers double and triple integrals in rectangular, polar, cylindrical, and spherical coordinate systems.
Q10

Can this book be used without a graphing calculator?

A10

Yes, but a graphing calculator is recommended for some modeling exercises in Chapter 1 and for visualizing vector functions in Chapters 12-13.

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1. Functions and Models

2. Limits and Derivatives

3. Differentiation Rules

4. Applications of Differentiation

5. Integrals

6. Applications of Integration

7. Techniques of Integration

8. Further Applications of Integration

9. Differential Equations

10. Parametric Equations and Polar Coordinates

11. Infinite Sequences and Series

12. Vectors and the Geometry of Space

13. Vector Functions

14. Partial Derivatives

15. Multiple Integrals

16. Vector Calculus

17. Second-Order Differential Equations

- Appendixes

- Index