Calculus: Early Transcendentals

Calculus Early Transcendentals, 9e continues to evolve to fulfill the needs of a changing market by providing flexible solutions to teaching and learning needs of all kinds. Calculus, 9e excels in increasing student comprehension and conceptual understanding of the mathematics. The new edition retains the strengths of earlier editions: e.g., Anton's trademark clarity of exposition; sound mathematics; excellent exercises and examples; and appropriate level, while incorporating new ideas that have withstood the objective scrutiny of many skilled and thoughtful instructors, and their students.

NEW to this Edition

 

• Exercise Sets: New true/false exercises and new expository writing exercises have been added.

   

• Making Connections: Contains a select group of exercises that draw on ideas developed in the entire chapter rather than focusing on a single section as with the regular exercise sets.

   

• Centroids and Center of Gravity: A new section on centroids and center of gravity in two dimensions is now included. (Chapter 6)

   

• Visualization: Illustrations make extensive use of modern computer graphics to clarify concepts and to develop the student's ability to visualize mathematical objects, particularly those in 3-space. For students working with graphing technology, many exercises develop the ability to generate and analyze mathematical curves and surfaces.

   

• New Chapter 0: The precalculus review material from Chapter 1 is now in Chapter 0, a chapter which focuses exclusively on the preliminary topics that students need to start the calculus course.

   

• Parametric equations reorganized: This edition returns to the traditional organization: the material on parametric equations is now first introduced and then discussed in detail in Section 10.1 (Parametric Curves). However, to support those instructors who want to continue the 8th edition path of giving an early exposure to parametric curves, web materials and self-contained exercise sets on the topic in Section 6.4 are available.

   

• Differential equations reorganized: The chapter on differential equations has been reordered and revised so that instructors who cover only separable equations can do so without a forced diversion into general first-order equations and other unrelated topics. This chapter can be skipped entirely by those who do not cover differential equations at all in calculus.

   

• Related Rates and Local Linearity: The sections on related rates and local linearity now follow the sections on implicit differentiation and logarithmic, exponential, and inverse trigonometric functions, making a richer variety of techniques and functions available to study related rates and local linearity.

   

• Rectilinear Motion Reorganized: Aspects of rectilinear motion that were discussed in the introductory discussion of derivatives in the 8th edition have been deferred so as to not distract from the primary task of developing the notion of the derivative. This also provides a less fragmented development of rectilinear motion.

   

• Additional Student-Friendly Reorganization: The sections "Graphing Functions Using Calculators and Computer Algebra Systems" and "Mathematical Models" are now text appendices; and the section "Second-Order Linear Homogeneous Differential Equations; The Vibrating String" is now posted on the web site that supports this text.

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