This text is a practical course in complex calculus that covers the applications, but does not assume the full rigor of a real analysis background. Topics covered include algebraic and geometric aspects of complex numbers, differentiation, contour integration, evaluation of finite and infinite real integrals, summation of series and the fundamental theorem of algebra. The Residue Theorem for evaluating complex integrals is presented in such a way that those wishing to study the subject at a deeper level should not need to unlearn anything presented here. A working knowledge of real calculus is assumed as is an acquaintance with complex numbers. This will be of interest to undergraduate students of applied mathematics, physical sciences and engineering.
Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by Professor Kac over the last few years at MIT.
The acclaimed Calculus: Concepts and Applications is now available in a new edition, revised to reflect important changes in the Advanced Placement curriculum, and updated to incorporate feedback from instructors throughout the U.S. With over 40 years of experience teaching AP Calculus, Paul Foerster developed Calculus: Concepts and Applications with the high school student in mind, but with all the content of a college-level course.
An easy-to-understand primer on advanced calculus topics
Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.
