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Fibonacci Numbers
Since their discovery hundreds of years ago, people have been fascinated by the wondrous properties of Fibonacci numbers. Being of mathematical significance in their own right, Fibonacci numbers have had an impact on areas like art and architecture, and their traces can be found in nature and even the behavior of the stock market. Starting with the basic properties of Fibonacci numbers, the present book explores their relevance in number theory, the theory of continued fractions, geometry and approximation theory. Rather than giving a complete account of the subject, a few chosen examples are treated exhaustively. They not only reveal the bearing of Fibonacci numbers on mathematics, but also provide very readable marvels of mathematical reasoning. This book is the translation of the 6th Russian edition (the first edition appeared in the early fifties and became a standard source of information on the subject).
Linear Algebra: Examples And Applications
This short but rigorous book approaches the main ideas of linear algebra through carefully selected examples and relevant applications. It is intended for students with various interests in mathematics, as well as established scientists seeking to refresh their basic mathematical culture.The book is also a good introduction to functional analysis and quantum theory since it discusses the general principles of linear algebra without finiteness assumptions.
Baroque Tendencies in Contemporary Art
Baroque Tendencies in Contemporary Art is a collection of essays by an international cadre of scholars addressing current trends within the field of contemporary art and how artists and architects reflect upon past traditions and fold them into the present. Often referred to as the Neo-Baroque, scholarship on this topic first emerged in the 1980s with the publication of several notable studies in France (but not translated into English until the 1990s); in addition, a number of recent exhibitions have focused on contemporary responses to the Baroque. The Baroque and the Neo-Baroque are frequently defined as having a propensity for instability, seriality, reflexivity, fluidity, and spectacle....
Meanings of Abstract Art
Traditional art is based on conventions of resemblance between the work and that which it is a representation "of". Abstract art, in contrast, either adopts alternative modes of visual representation or reconfigures mimetic convention. This book explores the relation of abstract art to nature (taking nature in the broadest sense—the world of recognisable objects, creatures, organisms, processes, and states of affairs). Abstract art takes many different forms, but there are shared key structural features centered on two basic relations to nature. The first abstracts from nature, to give selected aspects of it a new and extremely unfamiliar appearance. The second affirms a natural creativity that issues in new, autonomous forms that are not constrained by mimetic conventions. (Such creativity is often attributed to the power of the unconscious.) The book covers three categories: classical modernism (Mondrian, Malevich, Kandinsky, Arp, early American abstraction); post-war abstraction (Pollock, Still, Newman, Smithson, Noguchi, Arte Povera, Michaux, postmodern developments); and the broader historical and philosophical scope.
Mathematics
Discusses mathematics and how it plans an intricate part of daily life rather than an isolated science.
Analytic Number Theory for Beginners
This new edition of Analytic Number Theory for Beginners presents a friendly introduction to analytic number theory for both advanced undergraduate and beginning graduate students, and offers a comfortable transition between the two levels. The text starts with a review of elementary number theory and continues on to present less commonly covered topics such as multiplicative functions, the floor function, the use of big $O$, little $o$, and Vinogradov notation, as well as summation formulas. Standard advanced topics follow, such as the Dirichlet $L$-function, Dirichlet's Theorem for primes in arithmetic progressions, the Riemann Zeta function, the Prime Number Theorem, and, new in this seco...
Fibonacci Numbers
An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike.
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