Auteur: A. A. Kirillov

Even the simplest mathematical abstraction of the phenomena of reality- the real line-can be regarded from different points of view by different mathematical disciplines. For example, the algebraic a …

The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retain …

Since Benoit Mandelbrot’s pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the gen …

Isaac Newton encrypted his discoveries in analysis in the form of an anagram, which deciphers to the sentence "It is worthwhile to solve differential equations". Accordingly, one can expres …

Part I of this book is a short review of the classical part of representation theory. The main chapters of representation theory are discussed: representations of finite and compact groups, finite- a …

From the reviews of the first edition:"… In general the articles … are well written in a style that enables one to grasp the ideas. The actual style is a readable mix of the important result …

This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynami …

At first only elementary functions were studied in mathematical analysis. Then new functions were introduced to evaluate integrals. They were named special functions: integral sine, logarithms, the e …

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