Recent discoveries in cosmology have led to a bizarre new worldview that (to paraphrase Niels Bohr) may be crazy enough to be true. Just consider the litany of mind-boggling new ideas being bandied about lately: the acceleration of cosmic expansion, dark energy (on top of dark matter, yet!), primordial "ripples" in space-time, the quantum creation of the universe from nothing, eternal cosmic inflation, multiple universes . . .Sound crazy enough for you? Fortunately, the new theoretical advances also lead to testable predictions, and we may soon witness the confirmation of some of these predictions by fresh astronomical findings. Alex Vilenkin's own scientific work has been closely tied to the emergence of the new worldview, from the original ideas to the most recent developments. In Many Worlds in One, he gives an exciting, surprisingly entertaining firsthand account of the birth of the new cosmology, and its fascinatingand at times disturbingimplications.
Recent discoveries in cosmology have led to a bizarre new worldview that (to paraphrase Niels Bohr) may be crazy enough to be true. Just consider the litany of mind-boggling new ideas being bandied about lately: the acceleration of cosmic expansion, dark energy (on top of dark matter, yet!), primordial "ripples" in space-time, the quantum creation of the universe from nothing, eternal cosmic inflation, multiple universes . . .Sound crazy enough for you? Fortunately, the new theoretical advances also lead to testable predictions, and we may soon witness the confirmation of some of these predictions by fresh astronomical findings. Alex Vilenkin's own scientific work has been closely tied to the emergence of the new worldview, from the original ideas to the most recent developments. In Many Worlds in One, he gives an exciting, surprisingly entertaining firsthand account of the birth of the new cosmology, and its fascinatingand at times disturbingimplications.
This book was written exactly for 3 months, in the 4th quarter of 2010. Now it is first translated into English for sale in electronic form on Amazon. Can I get $ 300 million out of nowhere? The author claims that it is possible. Do not believe me? The only gain from selling a book in English will cover this amount. So author states...
The Philosophy of Living Experience is the single best introduction to the thought of Alexander Bogdanov (1873–1928), a Russian polymath who was co-founder, with Lenin, of the Bolshevik Party. His landmark achievements are Empiriomonism (1904–6), a philosophy of radical empiricism that he developed to replace what he considered to be the crude materialism of contemporary Marxists, and Tektology: Universal Organisational Science (1912–17), a precursor of cybernetics and systems theory. The Philosophy of Living Experience (1913) was written at a transitional point between the two; it is a final summing up of empiriomonism, an illustration of his theory of the social genesis of ideas, and an anticipation of Tektology.
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full.
This early anthology of Russian poetry was compiled and translated by Deutsch and Yermolinksy and was originally published in 1921. It provides a fascinating and absorbing collection of some of the work of Russia’s greatest poets from the nineteenth and early twentieth centuries. Deutsch and Yermolinksy provide a comprehensive and informative look at the subject, making this work a valuable addition to the bookshelf of any literary historian, enthusiast of Russian poetry or newcomer to the genre. Poets featured include: Alexander Pushkin - Yevgeny Baratynsky - Alexey Koltzov - Mikhail Lermontov - Fyodor Tyutchev - Nikolai Nekrasov - Alexey K. Tolstoy - Apollon Maikov - Afanasy Shenshin-Foeth - Yakov Polonsky - Vladimir Solovyov - N. Minsky - Dmitry Merezhkovsky - Fyodor Sologub - Zinaida Hippius - Konstantin Balmont - Valery Brusov - Ivan Bunin - Vyacheslav Ivanov - Yurgis Baltrushaitis - Maximilian Voloshin - Mikhail Kuzmin - Georgy Chulkov - Alexander Blok - andrey Bely - Victor Hofman - Vasily Bashkin - Sergey Gorodetzky - Anna Akhmatova - Igor Severyanin - Nikolai Kluyev - Lubov Stolitza - Sergi Yesenin - Z. Shishova - Piotr Oreshin - Anatoly Marienhof. This vintage and rare text is being republished in a high quality, modern and affordable format, and comes complete with a new, specially-written concise biography.
This textbook is devoted to Combinatorics and Graph Theory, which are cornerstones of Discrete Mathematics. Every section begins with simple model problems. Following their detailed analysis, the reader is led through the derivation of definitions, concepts and methods for solving typical problems. Theorems then are formulated, proved and illustrated by more problems of increasing difficulty. Topics covered include elementary combinatorial constructions, application to probability theory, introduction to graphs and trees with application to hierarchical clustering algorithms, more advanced counting techniques, and existence theorems in combinatorial analysis. The text systematically employs the basic language of set theory. This approach is often useful for solving combinatorial problems, especially problems where one has to identify some objects, and significantly reduces the number of the students’ errors; it is demonstrated in the text on many examples. The textbook is suitable for undergraduate and entry-level graduate students of mathematics and computer science, lecturers in these fields, and anyone studying combinatorial methods and graphical models for solving various problems. The book contains more than 700 problems and can be used as a reading and problem book for an independent study seminar or self-education.
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems which is written from the unifying viewpoint of distribution theory and enriched with many modern topics which are important to practitioners and researchers. The goal of the book is to give the reader, specialist and non-specialist usable and modern mathematical tools in their research and analysis. This new text is intended for graduate students and researchers in applied mathematics, physical sciences and engineering. The careful explanations, accessible writing style, and many illustrations/examples also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. The present, softcover reprint is designed to make this classic textbook available to a wider audience.
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
This anthology, consisting of two volumes, is intended to equip background researchers, practitioners and students of international mathematics education with intimate knowledge of mathematics education in Russia. Volume I, entitled Russian Mathematics Education: History and World Significance, consists of several chapters written by distinguished authorities from Russia, the United States and other nations. It examines the history of mathematics education in Russia and its relevance to mathematics education throughout the world. The second volume, entitled Russian Mathematics Education: Programs and Practices will examine specific Russian programs in mathematics, their impact and methodological innovations. Although Russian mathematics education is highly respected for its achievements and was once very influential internationally, it has never been explored in depth. This publication does just that.
A spectacular musical and scientific journey from the Bronx to the cosmic horizon that reveals the astonishing links between jazz, science, Einstein, and Coltrane More than fifty years ago, John Coltrane drew the twelve musical notes in a circle and connected them by straight lines, forming a five-pointed star. Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim — The Jazz of Physics reveals that the ancient poetic idea of the "Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.
Modern Hellenismos is a religious movement that reconstructs the ancient Greek religion in a modern context. It is one of many Polytheistic Reconstructionist religions today, and it acknowledges the existence, nature, and worship of ancient Greek gods and their divine involvement in both the universe and human life.
Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.
Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this is the case when they are both determined by the nature of the elements of the set considered (a group of transformations is a typical example). The rules that describe the relationship between a topology and an algebraic operation are almost always transparentandnatural—theoperationhastobecontinuous,jointlyorseparately.
Markov Random Flights is the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Markov random flights is a stochastic dynamic system subject to the control of an external Poisson process and represented by the stochastic motion of a particle that moves at constant finite speed and changes its direction at random Poisson time instants. The initial (and each new) direction is taken at random according to some probability distribution on the unit sphere. Such stochastic motion is the basic model for describing many real finite-velocity transport phenomena arising in statistical physics, chemistry, biology, environmental science and financial markets. Markov random flights acts as an effective tool for modelling the slow and super-slow diffusion processes arising in various fields of science and technology. Features: Provides the first systematic presentation of the theory of Markov random flights in the Euclidean spaces of different dimensions. Suitable for graduate students and specialists and professionals in applied areas. Introduces a new unified approach based on the powerful methods of mathematical analysis, such as integral transforms, generalized, hypergeometric and special functions. Author Alexander D. Kolesnik is a professor, Head of Laboratory (2015–2019) and principal researcher (since 2020) at the Institute of Mathematics and Computer Science, Kishinev (Chișinău), Moldova. He graduated from Moldova State University in 1980 and earned his PhD from the Institute of Mathematics of the National Academy of Sciences of Ukraine, Kiev in 1991. He also earned a PhD Habilitation in mathematics and physics with specialization in stochastic processes, probability and statistics conferred by the Specialized Council at the Institute of Mathematics of the National Academy of Sciences of Ukraine and confirmed by the Supreme Attestation Commission of Ukraine in 2010. His research interests include: probability and statistics, stochastic processes, random evolutions, stochastic dynamic systems, random flights, diffusion processes, transport processes, random walks, stochastic processes in random environments, partial differential equations in stochastic models, statistical physics and wave processes. Dr. Kolesnik has published more than 70 scientific publications, mostly in high-standard international journals and a monograph. He has also acted as external referee for many outstanding international journals in mathematics and physics, being awarded by the "Certificate of Outstanding Contribution in Reviewing" from the journal "Stochastic Processes and their Applications." He was the visiting professor and scholarship holder at universities in Italy and Germany and member of the Board of Global Advisors of the International Federation of Nonlinear Analysts (IFNA), United States of America.
This concise, self-contained textbook gives an in-depth look at problem-solving from a mathematician’s point-of-view. Each chapter builds off the previous one, while introducing a variety of methods that could be used when approaching any given problem. Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader’s technique. The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter. For the reader’s convenience, each exercise is marked with the required background level. This book implements a variety of strategies that can be used to solve mathematical problems in fields such as analysis, calculus, linear and multilinear algebra and combinatorics. It includes applications to mathematical physics, geometry, and other branches of mathematics. Also provided within the text are real-life problems in engineering and technology. Thinking in Problems is intended for advanced undergraduate and graduate students in the classroom or as a self-study guide. Prerequisites include linear algebra and analysis.
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