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Though elementary in nature, this book deals with fundamental issues in mathematics - number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves research topics of earlier periods. The material is very suitable both for advanced high school students and for college students interested in elementary mathematics from a higher standpoint. It will also be very useful to high school teachers seeking an overview of their subject matter.

Mathematics. --- Number theory. --- Number study --- Numbers, Theory of --- Algebra --- Math --- Science

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This is the only book that deals comprehensively with fixed point theorems overall of mathematics. Their importance is due, as the book demonstrates, to their wide applicability. Beyond the first chapter, each of the other seven can be read independently of the others so the reader has much flexibility to follow his/her own interests. The book is written for graduate students and professional mathematicians and could be of interest to physicists, economists and engineers.

Fixed point theory. --- Fixed point theorems (Topology) --- Nonlinear operators --- Coincidence theory (Mathematics) --- Fixed point theory --- 517.98 --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Point fixe, Théorème du. --- Point fixe, Théorème du.