About the book
Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and FourierBessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.
Editions of A Student's Guide to Infinite Series and Sequences
- Hardcover
- ISBN 9781107059825
- Paperback
- ISBN 9781107640481
Read an Excerpt
Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and FourierBessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.
Frequently Asked Questions
What is A Student's Guide to Infinite Series and Sequences about?
Why study infinite series? Not all mathematical problems can be solved exactly or have a solution that can be expressed in terms of a known function. In such cases, it is common practice to use an infinite series expansion to approximate or represent a solution. This informal introduction for undergraduate students explores the numerous uses of infinite series and sequences in engineering and the physical sciences. The material has been carefully selected to help the reader develop the techniques needed to confidently utilize infinite series. The book begins with infinite series and sequences before moving onto power series, complex infinite series and finally onto Fourier, Legendre, and FourierBessel series. With a focus on practical applications, the book demonstrates that infinite series are more than an academic exercise and helps students to conceptualize the theory with real world examples and to build their skill set in this area.
What core themes, tropes, or subjects are explored in A Student's Guide to Infinite Series and Sequences?
Mathematics and Science > Physics
Where can I read a sample of A Student's Guide to Infinite Series and Sequences?
You can read an official preview of the few pages here https://www.book2look.com/book/9781107059825
Who is/are the Author/s of the book A Student's Guide to Infinite Series and Sequences?
Jr. Bernhard W. Bach
What are the ISBN numbers for the physical and digital editions?
A Student's Guide to Infinite Series and Sequences is available as hardcover(ISBN 9781107059825) and paperback(ISBN 9781107640481)