Alsamraee H.E. Advanced Calculus Explored: With Applications in Physics, Chemistry, and Beyond

Curious Math Publications, 2019. — 444 p. — ISBN: 0578616823.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 the Author.Introductory Chapters
Differential Calculus.
Basic Integration.
Feynman’s Trick.
Sums of Simple Series.
Series and Calculus
Prerequisites.
Evaluating Series.
Series and Integrals.
Fractional Part Integrals.
A Study in the Special Functions
Gamma Function.
Polygamma Functions.
Beta Function.
Zeta Function.
The Big Picture.
Classical Mechanics.
Physical Chemistry.
Statistical Mechanics.
Miscellaneous.
Appendices
Appendix A.
Appendix B.
Acknowledgements
Answers
Integral Table.
Trigonometric Identities.
Alphabetical Index.True PDF