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Advanced Calculus: A Transition to Analysis

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en Limba Engleză Hardback – 04 Feb 2010
Advanced Calculus explores the theory of calculus and highlights the connections between calculus and real analysis – providing a mathematically sophisticated introduction to functional analytical concepts.
The text is interesting to read and includes many illustrative worked-out examples and instructive exercises, and precise historical notes to aid in further exploration of calculus. It covers exponential function, and the development of trigonometric functions from the integral.
The text is designed for a one-semester advanced calculus course for advanced undergraduates or graduate students.


  • Appropriate rigor for a one-semester advanced calculus course
  • Presents modern materials and nontraditional ways of stating and proving some results
  • Includes precise historical notes throughout the book outstanding feature is the collection of exercises in each chapter
  • Provides coverage of exponential function, and the development of trigonometric functions from the integral
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Specificații

ISBN-13: 9780123749550
ISBN-10: 0123749557
Pagini: 392
Ilustrații: Illustrated
Dimensiuni: 191 x 235 x 28 mm
Greutate: 0.98 kg
Editura: ELSEVIER SCIENCE

Public țintă

Advanced undergraduate and graduate students studying mathematics, engineering, biology, chemistry, economics, environmental sciences, physics, computer science taking a course in advanced calculus.

Cuprins

Sets, Numbers and Functions; Sequences; Infinite Series; Continuity; Differentiation; Integration; Commutation of Limit Operations; Appendices