Calculus (14th Edition) by George B. Thomas
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About this book :-
Calculus (14th Edition) written by
George B. Thomas , JR., Massachusetts Institute of Technology and revised by
Joel Hass, University of California, Davis,
Christopher Heil, Georgia Institute of Technology and
Maurice D. Weir, Naval Postgraduate School.
This is the best book on calculus for three-semester or four-quarter courses in Calculus for students majoring in mathematics, engineering, or science. Thomas' Calculus helps students reach the level of mathematical proficiency and maturity you require, but with support for students who need it through its balance of clear and intuitive explanations, current applications, and generalized concepts. In the 14th Edition, new co-author Christopher Heil (Georgia Institute of Technology) partners with author Joel Hass to preserve what is best about Thomas' time-tested text while reconsidering every word and every piece of art with today's students in mind. The result is a text that goes beyond memorizing formulas and routine procedures to help students generalize key concepts and develop deeper understanding.
Thomas� Calculus, Fourteenth Edition, provides a modern introduction to calculus that focuses on developing conceptual understanding of the underlying mathematical ideas. This text supports a calculus sequence typically taken by students in STEM fields over several semesters. Intuitive and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets are the foundation of this text. We continue to improve this text in keeping with shifts in both the preparation and the goals of today�s students, and in the applications of calculus to a changing world.
Many of today�s students have been exposed to calculus in high school. For some, this translates into a successful experience with calculus in college. For others, however, the result is an overconfidence in their computational abilities coupled with underlying gaps in algebra and trigonometry mastery, as well as poor conceptual understanding. In this text, we seek to meet the needs of the increasingly varied population in the calculus sequence. We have taken care to provide enough review material (in the text and appendices), detailed solutions, and a variety of examples and exercises, to support a complete understanding of calculus for students at varying levels. Additionally, the MyMathLab course that accompanies the text provides adaptive support to meet the needs of all students. Within the text, we present the material in a way that supports the development of mathematical maturity, going beyond memorizing formulas and routine procedures, and we show students how to generalize key concepts once they are introduced. References are made throughout, tying new concepts to related ones that were studied earlier. After studying calculus from Thomas, students will have developed problem-solving and reasoning abilities that will serve them well in many important aspects of their lives. Mastering this beautiful and creative subject, with its many practical applications across so many fields, is its own reward. But the real gifts of studying calculus are 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 book to encourage and support those goals.
Book Detail :-
Author(s): George B Thomus, Hass, Joel; Heil, Christopher; Thomas, George Brinton; Weir, Maurice D
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About Author :-
George Brinton Thomas , a mathematician at
Massachusetts Institute of Technology
whose calculus well-regarded textbook has been used around the world.
Thomas was born Jan. 11, 1914, in Boise, Idaho. When he was only 5 years old, his mother died in the influenza pandemic in 1919, and young George grew up in sometimes difficult circumstances. At one point he lived with his father and stepmother. Thomas began attending Washington State College (now Washington State University), he earned his bechular in 1934 and an M.Sc. in 1936, both in mathematics and mathematics education. On August 15, 1936, Thomas married Jane Heath at her family's home in South Bend, Washington. The couple lived in Pullman, Washington for a year; Thomas worked at a local shoe store to save money for further graduate education.
In 1937, Thomas was accepted into the graduate mathematics program at Cornell University. At Cornell, Thomas worked as an instructor while pursuing his research in number theory. During the Second World War, Thomas was involved in early computation systems and programmed the differential analyzer to calculate firing tables for the Navy. In 1952, George Thomas moved into the Conantum community in Concord, Massachusetts, where many younger Harvard and MIT faculty members lived. Thomas' commitment to education went well beyond Massachusetts Institute of Technology. From 1955-57, he served on the Board of Governors of the Mathematical Association of America, an organization devoted to mathematics, especially at the undergraduate/graduate level. He was alos elected its first Vice-President 1958-59. Thomas also served on the Executive Committee, Mathematics Division, of the American Society for Engineering Education from 1956-59. He was a member of the Commission on Mathematics of the College Entrance Examination Board, 1955-58. He was also one of the editors on a series of high school mathematics texts for Addison-Wesley Publishing.
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Book Contents :-
Calculus (14th Edition) written by
George B. Thomas
cover the following topics.
2. Limits and Continuity
4. Applications of Derivatives
6. Applications of Definite Integrals
7. Transcendental Functions
8. Techniques of Integration
9. First-Order Differential Equations
10. Infinite Sequences and Series
11. Parametric Equations and Polar Coordinates
12. Vectors and the Geometry of Space
13. Vector-Valued Functions and Motion in Space
14. Partial Derivatives
15. Multiple Integrals
16. Integrals and Vector Fields
17. Second-Order Differential Equations
A.1 Real Numbers and the Real Line
A.2 Mathematical Induction
A.3 Lines, Circles, and Parabolas
A.4 Proofs of Limit Theorems
A.5 Commonly Occurring Limits
A.6 Theory of the Real Numbers
A.7 Complex Numbers
A.8 The Distributive Law for Vector Cross Products
A.9 The Mixed Derivative Theorem and the Increment Theorem
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