Calculus Fundamentals Explained
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Calculus Fundamentals Explained
This textbook is written for everyone who has experienced challenges learning Calculus. This book really teaches you, helps you understand and master Calculus through clear and meaningful explanations of all the ideas, concepts, problems and procedures of Calculus, effective problem solving skills and strategies, fully worked problems with complete, step-by-step explanations.
Fundamentals of Real and Complex Analysis
Author: Asuman Güven Aksoy
language: en
Publisher: Springer Nature
Release Date: 2024-04-18
The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after developing the basic techniques and aims at a larger readership than that of similar textbooks that have been published, as fewer mathematical requisites are required. The idea is to present analysis as a whole and emphasize the strong connections between various branches of the field. Ample examples and exercises reinforce concepts, and a helpful bibliography guides those wishing to delve deeper into particular topics. Graduate students who are studying for their qualifying exams in analysis will find use in this text, as well as those looking to advance their mathematical studies or who are moving on to explore another quantitative science. Chapter 1 contains many tools for higher mathematics; its content is easily accessible, though not elementary. Chapter 2 focuses on topics in real analysis such as p-adic completion, Banach Contraction Mapping Theorem and its applications, Fourier series, Lebesgue measure and integration. One of this chapter’s unique features is its treatment of functional equations. Chapter 3 covers the essential topics in complex analysis: it begins with a geometric introduction to the complex plane, then covers holomorphic functions, complex power series, conformal mappings, and the Riemann mapping theorem. In conjunction with the Bieberbach conjecture, the power and applications of Cauchy’s theorem through the integral formula and residue theorem are presented.
Fundamentals of Dynamics and Analysis of Motion
Author: Marcelo R. M. Crespo da Silva
language: en
Publisher: Courier Dover Publications
Release Date: 2016-04-21
Suitable as both a reference and a text for graduate students, this book stresses the fundamentals of setting up and solving dynamics problems rather than the indiscriminate use of elaborate formulas. Includes tutorials on relevant software. 2015 edition.