In this new edition, many small additional topics have been added and existing ones expanded. This book will supply a graduate or undergraduate student in mathematics or theoretical physics with the fundamentals of these objects.
Many of the instruments used for general topology are presented and the basic results are presented in this section. It is assumed that the reader has some knowledge of set theory, algebra, analysis and basic general topology. Certain material includes the basic theorems which are equally significant in building the mathematical knowledge.
Algebraic General topology uses many of the classical examples from, and applications of, the subjects it covers, in particular those where closed form expressions are available, to bring abstract ideas to life.
Helpfully, proofs are offered for almost all assertions throughout. All of the introductory material is presented in full and this is the source with the examples presented in detail.
The content in this pure mathematical book contains, a very wide generalization of general topology. The teachers working with high college students wanting to see the sort of mathematics they would be introduced to as a math graduate.
The lessons in this book cover basic through intermediate material from each of these 8 topics. In addition, all the proof writing skills that are essential for advanced study in mathematics are extensively addressed in this book. Pure Mathematics for Beginners is perfect for an advanced college course in higher mathematics.
This volume uses a technique which is different from other texts while there are many other works about introductory topology. Some chapters deal with the metric space and the topological point set material; the remaining two with more advanced topological material. The authors lead the readers through a number of non-trivial generalizations of the topology of metric spaces to analyze the topology clearly.
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