Advanced Calculus Explored: With Applications in Physics, Chemistry, and Beyond - Softcover

Alsamraee, Hamza E.

Softcover

ISBN 10: 0578616823 ISBN 13: 9780578616827

Publisher: Curious Math Publications, 2019

Synopsis

Learn Both the Mathematics and the Science!

Are you a student that is often puzzled about how to translate your math background to applications in your science and engineering classes?

Are you a mathematical enthusiast who loves challenging calculus problems?

In this example-focused book, Hamza Alsamraee presents a plethora of techniques and methods to aid the regular student develop their skills to transition to more advanced mathematics.

In Advanced Calculus Explored, you will find

• Advanced mathematical and scientific concepts broken down for the beginner

• Very important special functions such as the gamma, beta, polygamma, and zeta functions introduced, extensively discussed, and used in real-world applications

• Dozens of proofs of famous equations due to well-known mathematicians such as Euler, Gauss, etc.

• Applications of the methods discussed in topics ranging from astrophysics to pharmaceutical engineering

• A variety of illustrations to strengthen both mathematical and scientific understanding

• Many exercise problems accompanying each chapter, with answers!

Advanced Calculus Explored equips readers with the tools they need for success in their STEM courses and provides a multitude of nonstandard problems to engage the mathematically curious reader, enabling the reader to achieve their academic goals. Advanced Calculus Explored helps build a stronger, more intuitive understanding of calculus that will serve the reader in advanced mathematics and science courses.

Learn the tools you need for success.

Read this book and unlock the benefits today!

About this title

About the Author

Hamza Alsamraee is a high school senior and admin of the popular Instagram mathematics page @daily_math_, which has garnered over 40,000 followers in a few months. Besides mathematics and physics, he is a varsity wrestler and an avid philosopher.

From the Back Cover

The typical student is often very puzzled regarding the applications of the mathematics they learn, at least initially. Very few academic texts include both pure mathematics and the applications of that mathematics. Advanced Calculus Explored aims to change that and includes not only dozens of fully worked out pure examples, but an extensive discussion of how the mathematical techniques and methods translate into the mathematical sciences, with topics ranging from pharmaceutical engineering to astrophysics. Moreover, the book not only explains the mathematics behind the applications, but the scientific principles and laws as well!

Another unique aspect of this book comes from its style: it is written with the reader in mind! This book takes an unconventional, example-focused approach to learning mathematics. The theorems used in this book that are beyond the standard first year calculus curriculum are very limited, and the focus is placed on mastering all the techniques introduced in a standard college calculus course or the AP Calculus curriculum. Almost 100 fully worked out examples are given, with dozens of proofs and all the definitions and theorems you need sprinkled throughout the book. About 75 exercise problems are given in the book, with all answers included!

Edition details

• Publisher: Curious Math Publications
• Publication date: 2019
• Language: English
• ISBN 10: 0578616823
• ISBN 13: 9780578616827
• Binding: Paperback
• Number of pages: 448