Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA303.SPR FCT 81634 (Browse shelf) | 1 | Available |
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QA303.SPR FCT 81298 Multivariate calculus and geometry | QA303.SPR FCT 81423 Elementary analysis | QA303.SPR FCT 81508 Calculus with applications | QA303.SPR FCT 81634 More calculus of a single variable | QA303.SPR FCT 94691 Calculus of one variable | QA303.2.SPR FCT 81350 Calculus without derivatives | QA303.2.SPR FCT 81455 Applications of q-calculus in operator theory |
Colocação: Online
This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.
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