This book presents the basic concepts of calculus and its relevance to real-world problems, covering the standard topics in their conventional order. By focusing on applications, it allows readers to view mathematics in a practical and relevant setting. Organized into 12 chapters, this book includes numerous interesting, relevant and up-to date applications that are drawn from the fields of business, economics, social and behavioural sciences, life sciences, physical sciences, and other fields of general interest. It also features MATLAB, which is used to solve a number of problems. The book is ideal as a first course in calculus for mathematics and engineering students. It is also useful for students of other sciences who are interested in learning calculus.
Author(s): Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi
Series: Industrial And Applied Mathematics
Publisher: Springer
Year: 2019
Language: English
Pages: 655
Tags: Calculus
Front Matter ....Pages i-xviii
Functions and Models (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 1-37
Limit and Continuity (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 39-53
Derivatives (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 55-101
Optimization (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 103-127
Sequences and Series (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 129-151
Integration (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 153-191
Applications of Integration (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 193-237
Functions of Several Variables (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 239-306
Vector Calculus (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 307-381
Fourier Methods with Applications (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 383-426
Differential Equations (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 427-474
Calculus with MATLAB (Martin Brokate, Pammy Manchanda, Abul Hasan Siddiqi)....Pages 475-508
Back Matter ....Pages 509-649
