Calculus For Scientists And Engineers

Description

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. 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