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University calculus early transcendentals 4th Edition [pdf]

### University Calculus: Early Transcendentals (4E) by Joel R. Hass, Christopher E Heil, Przemyslaw Bogacki, Maurice D Weir, George B. Thomas

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University Calculus: Early Transcendentals (4E) written by Joel R. Hass, Christopher E Heil, Przemyslaw Bogacki, Maurice D Weir, George B. Thomas
University Calculus: Early Transcendentals, Fourth Edition, provides a streamlined treatment of the material in a standard three-semester or four-quarter STEM-oriented course. As the title suggests, the book aims to go beyond what many students may have seen at the high school level. The book emphasizes mathematical precision and conceptual understanding, supporting these goals with clear explanations and examples and carefully crafted exercise sets.
Generalization drives the development of calculus and of mathematical maturity and is pervasive in this text. Slopes of lines generalize to slopes of curves, lengths of line segments to lengths of curves, areas and volumes of regular geometric figures to areas and volumes of shapes with curved boundaries, and finite sums to series. Plane analytic geometry generalizes to the geometry of space, and single variable calculus to the calculus of many variables. Generalization weaves together the many threads of calculus into an elegant tapestry that is rich in ideas and their applications.
Mastering this beautiful subject is its own reward, but the real gift of studying calculus is acquiring the ability to think logically and precisely; understanding what is defined, what is assumed, and what is deduced; and learning how to generalize conceptually. We intend this text to encourage and support those goals.
This is a substantial revision. Every word, symbol, and figure was revisited to ensure clarity, consistency, and conciseness. Additionally, we made the following text-wide changes:
• Updated graphics to bring out clear visualization and mathematical correctness.
• Added new types of homework exercises throughout, including many that are geometric in nature. The new exercises are not just more of the same, but rather give different perspectives and approaches to each topic. In preparing this edition, we analyzed aggregated student usage and performance data from MyLab Math for the previous edition of the text. The results of this analysis increased both the quality and the quantity of the exercises.
(Authors)

Book Detail :-
Title: University Calculus: Early Transcendentals
Edition: 4th
Author(s): Joel R. Hass, Christopher E Heil, Przemyslaw Bogacki, Maurice D Weir, George B. Thomas
Publisher: Pearson
Series:
Year: 2019
Pages: 1210
Type: PDF
Language: English
ISBN: 0134995546,9780134995540
Country: US

Author Joel Hass is from University of California, Davis.

Author Christopher Heil is from Georgia Institute of Technology since 1993. His teaches calculus, linear algebra, analysis, and abstract algebra. He is an experienced author, teacher and served as a consultant on the previous edition of this text. He is researcher in harmonic analysis, including time-frequency analysis, wavelets, and operator theory.

Author Przemyslaw Bogacki is form Old Dominion University. He joined the faculty at Old Dominion University in 1990. He has taught calculus, linear algebra, and numerical methods. He is actively involved in applications of technology in collegiate mathematics. His areas of research include computeraided geometric design and numerical solution of initial value problems for ordinary differential equations.

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Book Contents :-
University Calculus: Early Transcendentals (4E) written by Joel R. Hass, Christopher E Heil, Przemyslaw Bogacki, Maurice D Weir, George B. Thomas cover the following topics.
1. Functions
2. Limits and Continuity
3. Derivatives
4. Applications of Derivatives
5. Integrals
6. Applications of Definite Integrals
7. Integrals and Transcendental Functions
8. Techniques of Integration
9. Infinite Sequences and Series
10. Parametric Equations and Polar Coordinates
11. Vectors and the Geometry of Space
12. Vector-Valued Functions and Motion in Space
13. Partial Derivatives
14. Multiple Integrals
15. Integrals and Vector Fields
16. First-Order Differential Equations
17. Second-Order Differential Equations
Appendix A
Appendix B
Applications Index
Subject Index
Credits
A Brief Table of Integrals

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