Description

Book Synopsis
This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

Table of Contents
Quadratic Equations; Diagrams; Functions; Inverse Functions; Numbers; Sets of Real Numbers; Series with Positive Entries; Review and Transition; Continuous Functions; Differentiable Functions; Applications of Differentiation; The Real Numbers; Integration Theory; Applications of Integration Theory.

Analysis: A Gateway To Understanding Mathematics

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    A Hardback by Sean Dineen

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      Book details

      Publisher World Scientific Publishing Co Pte Ltd
      Published 3 July 2012
      ISBN-13 9789814401388
      978-9814401388
      ISBN-10 9814401382
      Also in:
      Calculus

      Description

      Book Synopsis
      This book shows that it is possible to provide a fully rigorous treatment of calculus for those planning a career in an area that uses mathematics regularly (e.g., statistics, mathematics, economics, finance, engineering, etc.). It reveals to students on the ways to approach and understand mathematics. It covers efficiently and rigorously the differential and integral calculus, and its foundations in mathematical analysis. It also aims at a comprehensive, efficient, and rigorous treatment by introducing all the concepts succinctly. Experience has shown that this approach, which treats understanding on par with technical ability, has long term benefits for students.

      Table of Contents
      Quadratic Equations; Diagrams; Functions; Inverse Functions; Numbers; Sets of Real Numbers; Series with Positive Entries; Review and Transition; Continuous Functions; Differentiable Functions; Applications of Differentiation; The Real Numbers; Integration Theory; Applications of Integration Theory.

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