Calculus : a complete course
著者
書誌事項
Calculus : a complete course
Addison-Wesley, c1999
4th ed
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注記
Previous ed.: 1996
Includes index
Text on lining papers
内容説明・目次
内容説明
This classic text has been praised for its high level of mathematical integrity including complete and precise statements of theorems, use of geometric reasoning in applied problems and the diverse range of applications across the sciences. The Fourth Edition features a new open design and has been reorganized to place emphasis on key topics and to deliver an efficient teaching and learning tool for introductory calculus. *Reorganized for efficiency's sake and to place a greater emphasis on key topics *New open design to promote ease of learning for the student *Early introduction of transcendental functions *Emphasis on geometry, especially in applied problems *Precise statements of theorems *Diverse range of applications from all the sciences including physics, chemistry, engineering and social sciences
目次
*Preliminaries *Limits and Continuity *Transcendental Functions *Applications of Derivatives *Integration *Techniques of Integration *Applications of Integration *Concics, Parametric and Polar Curves *Sequences, Series and Power Series *Vectors and Coordinate Geometry in 3-Space *Vector Functions and Curves *Partial Differentiation *Applications of Partial Derivatives *Multiple Integration *Vector Fields *Vector Calculus *Ordinary Differential EquationsAppendix I: Complex NumbersAppendix II: Complex FunctionsAppendix III: Continuous FunctionsAppendix IV: The Riemann Integral
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