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Agarwal Narendra Mystery of Wave Particle Duality


Mystery of Wave Particle Duality is prevailing since 17th century with the proposition of wave theory of light. With the discoveries of electron as negatively charged particle and its travel as wave further deepened the mystery. This book raises the curtain from this mystery with proofs and claims that there is no other solution to wave particle duality. How the electrons as well as photons generate electromagnetic field waves is also explained.

8789 RUR

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Muhammad Azeem Burkhiya The Nature of Divine Space


The creation of Space as discussed within the Holy Quran. The relationship between the elements, carbon, electrons, photons in the process of creation.

1177 RUR

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Thad Ulrich Quantum Electronics


Quantum electronics is a term that was used mainly between the 1950s and 1970s to denote the area of physics dealing with the effects of quantum mechanics on the behavior of electrons in matter, together with their interactions with photons. Today, it is rarely considered a sub-field in its own right, and it has been absorbed by other fields.

3777 RUR

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Lenard Metzger Beyond Einstein


The author points out what he considers to be some erroneous assumptions in Einstein's theories of relativity. This allowed going beyond these theories in the development of a non-relativistic, unified theory of gravitation and electromagnetism. What causes gravity and establishes the speed of light is described. The possibility of faster than light travel is discussed. Included are new ideas about the structure of atoms, the emission of photons and the interaction of gravity with atoms and photons. Also presented is the part played by gravity in the formation of black holes, the Big Bang, the expanding Universe and dark matter. A structure of the Cosmos is described that could lead to future Big Bangs.

1158 RUR

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Werner Heisenberg, Carl Eckart The Physical Principles of the Quantum Theory


2015 Reprint of 1930 Edition. Full Facsimile of the original edition. Not reproduced with Optical Recognition Software. In this classic account, based on lectures delivered at the University of Chicago, Heisenberg presents a complete physical picture of quantum theory. Quantum theory is a fundamental branch of physics which describes physical phenomena at scales typical of the quantum realm of atomic and subatomic length scales, where the action is on the order of the Planck constant. At these scales, many everyday concepts concerning physical objects and energy (including the photons making up visible light) are believed to behave and interact extremely differently than is usually seen in daily life.

1112 RUR

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Hendrik Antoon Lorentz The Theory of Electrons and Its Applications to the Phenomena Light Radiant Heat


Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.

903 RUR

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Leonid Koralov, Yakov G. Sinai Theory of Probability and Random Processes


A one-year course in probability theory and the theory of random processes, taught at Princeton University to undergraduate and graduate students, forms the core of this book. It provides a comprehensive and self-contained exposition of classical probability theory and the theory of random processes. The book includes detailed discussion of Lebesgue integration, Markov chains, random walks, laws of large numbers, limit theorems, and their relation to Renormalization Group theory. It also includes the theory of stationary random processes, martingales, generalized random processes, and Brownian motion.

6502 RUR

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Jean-Marc ROBIN Dynamical Mean Field Theory


This book is a short introduction to the Dynamical Mean-Field Theory for strongly correlated electrons. Its purpose is to focus on various local decoupling schemes in order to derive a self-consistent approximation and to map the lattice problem onto an impurity problem. Hubbard, Holstein, and Falicov-Kimball models are mainly used to provide examples of calculation. Numerous basic c/c++ programs are given along the book to develop confidence in computing actual numerical results.

4302 RUR

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The Theory of Electrons, and Its Applications to the Phenomena Light Radiant Heat


Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

1352 RUR

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Kiatezua Lubanzadio Luyaluka Towards the Formulation of a Systematic Theodicy African Traditional Religion and its Reinterpretation Empirical Cosmology


Scientific Essay from the year 2015 in the subject Theology - Miscellaneous, , language: English, abstract: The conflict between science and religion in Western thinking is the result of a materialistic epistemological choice which led to the elimination of the central role the soul played in pre-Socratic Grecian civilization. In contrast, the Black-African holistic epistemology affirms the centrality of the notion of God in understanding the world, and this naturally implies the possibility of a unity of science and religion. Hence, this article demonstrates this unity through a formulation of a systematic theodicy of African traditional religion. And second, this work shows the natural convergence between the cosmological concept that emerges from African theodicy and the observations of empirical science concerning the expansion, gravitation and movements of celestial bodies in the temporal universe. At the subatomic level, the convergence is seen in the interpretation of the particle/wave behavior of light quanta, in the process of entanglement of particle and in the stability of atoms. Juxtaposing the above, this paper offers a new interpretation of the nature of electrons and photons as true particles in undulating trajectories.

1964 RUR

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Christoph von Mettenheim Einstein, Popper and the Crisis of theoretical Physics


EINSTEIN, POPPER AND THE THEORY OF LIGHT AND MATTER discusses under philosophical, logical and mathematical aspects the theory of light and the problem of explaining gravitation, one of the oldest problems of philosophy and physics. Assuming the cause of gravity to lie in a force of attraction without a material agent would violate fundamental principles of physics. Newton saw that, and he knew that his theory left gravity well described but unexplained. Michael Faraday also saw the problem but could not solve it. Both relied on the ether hypothesis, which was given up at the beginning of the 20th Century in favour of Quantum Theory and the Theory of Relativity. Quantum Theory and the Theory of Relativity, however, rested on serious logical and mathematical mistakes. Max Planck gave no reasons for the individibility of the quantum, and his quantum jump assumed velocity without taking time. Einstein based his theory on a mathematical self-contradiction that remained undiscovered in a whole century. Both theories must be abandoned.In that difficult situation applying Karl Popper´s theory of science leads to a revival of the ether hypothesis in a different shape. If matter is not distinct from ether but is itself a process composed of ether particles, then their elasticity will explain the phenomena of light, of gravity, of the stability of matter, of the vortex shape of galaxies, and several other phenomena as well.

3789 RUR

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Alexander Bolonkin Wind Energy. Electron Jet Generators and Propulsions


In given book considered the topics: utilization wind energy at high altitude, transfer of energy from airborne wind turbines to ground surface, new non turbine electron wind and water electric generators and propulsion system. Author offers a new method of getting electric energy from wind. A special injector injects electrons into the atmosphere. Wind picks up the electrons and moves them in the direction of wind which is also against the direction of electric field. At some distance from injector a unique grid acquires the electrons, thus charging and producing electricity. Author offers a new high efficiency propulsion non turbine system using electrons for acceleration of the craft. As this system does not heat the air, it does not have the heating limitations of conventional air ramjet hypersonic engines. Offered engine can produce a thrust from a zero flight speed up to the desired escape velocity for space launch. It can work in any planet atmosphere (gas, liquid) and at high altitude.

2389 RUR

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Ph.D. James R. Jones Primary Theories of Crime and Victimization. Second Edition


This text focuses on the history of criminology, which includes the criminological time periods, persons most associated with each era, and their contentions and contributions. The earlier crime research epochs that are the concentration of the beginning of the text are the classical school of criminology, positivist criminology, sociological criminology (also known as the Chicago school), conflict criminology, and developmental criminology. It also concentrates on the ways crime is recorded in the United States and the strengths and weaknesses of each method. The focal point of the crime recording section of the text is on the Uniform Crime Report (UCR), National Crime Victimization Survey (NCVS), and self-report surveys. The theories of crime and delinquency that are examined are strain theory, differential association theory, conflict theory, social bonding theory, rational choice theory, social structure theory, social disorganization theory, cultural deviance theory, differential association theory, differential reinforcement theory, labeling theory, and theories of victimization. Finally, the text concludes with chapters on causes of violent crimes, juvenile delinquency, white-collar crime, and terrorism.

2127 RUR

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Neverov Vladislav, Androsova Elena Triune General Theory of Differential Calculus


The monograph is devoted to a new theory of differential calculus, organically and naturally including three components: finite, infinite and continual theory of differential calculus. The new triune theory overlaps multiply the classical theory scope of application due to that unlike the classical theory which is focused exclusively on the function, the author theory is focused both on function and function increments, and increments of any order. The offered theory has perfect theoretical and practical proofs and study. The book is available for a wide range of readers - from the leading experts in mathematical analysis to schoolchildren of secondary schools.

8202 RUR

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Eddington Arthur Relativity Theory Of Protons And Electrons


This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface.We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

2427 RUR

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David Eisenbud, Joe Harris The Geometry of Schemes


Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

6439 RUR

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Kopylova Elena Dispersion Decay and Scattering Theory


A simplified, yet rigorous treatment of scattering theory methods and their applications Dispersion Decay and Scattering Theory provides thorough, easy-to-understand guidance on the application of scattering theory methods to modern problems in mathematics, quantum physics, and mathematical physics. Introducing spectral methods with applications to dispersion time-decay and scattering theory, this book presents, for the first time, the Agmon-Jensen-Kato spectral theory for the Schr?dinger equation, extending the theory to the Klein-Gordon equation. The dispersion decay plays a crucial role in the modern application to asymptotic stability of solitons of nonlinear Schr?dinger and Klein-Gordon equations. The authors clearly explain the fundamental concepts and formulas of the Schr?dinger operators, discuss the basic properties of the Schr?dinger equation, and offer in-depth coverage of Agmon-Jensen-Kato theory of the dispersion decay in the weighted Sobolev norms. The book also details the application of dispersion decay to scattering and spectral theories, the scattering cross section, and the weighted energy decay for 3D Klein-Gordon and wave equations. Complete streamlined proofs for key areas of the Agmon-Jensen-Kato approach, such as the high-energy decay of the resolvent and the limiting absorption principle are also included. Dispersion Decay and Scattering Theory is a suitable book for courses on scattering theory, partial differential equations, and functional analysis at the graduate level. The book also serves as an excellent resource for researchers, professionals, and academics in the fields of mathematics, mathematical physics, and quantum physics who would like to better understand scattering theory and partial differential equations and gain problem-solving skills in diverse areas, from high-energy physics to wave propagation and hydrodynamics.

8312.7 RUR

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Felix Klein, George Gavin Morrice Lectures on the Icosahedron and Solution of Fifth Degree


In this classic of mathematical literature, first published in 1884, Felix Klein elegantly demonstrates how the rotation of icosahedron can be used to solve complex quintic equations. Divided into two parts-"Theory of the Icosahedron" and "The Theory of Equations of the Fifth Degree"-The Icosahedron covers:. the regular solids and the theory of groups. introduction of (x + iy). statement and discussion of the fundamental problem, according to the theory of functions. the algebraical character of the fundamental problem. general theorems and survey of the subject. the historical development of the theory of equations of the fifth degree. introduction of geometrical material. the canonical equations of the fifth degree. the problem of the A's and the Jacobian equations of the sixth degree. the general equation of the fifth degreeComplete with detailed equations and instructive material, The Icosahedron will be valued by experts in higher mathematics and students of algebra alike.German mathematician FELIX KLEIN (1849-1925) specialized in function theory, group theory, and non-Euclidean geometry. His published works include Elementary Mathematics from an Advanced Standpoint: Arithmetic, Algebra, Analysis; Elementary Mathematics from an Advanced Standpoint: Geometry; and Famous Problems of Elementary Geometry.

2402 RUR

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Song Kaifu Number theory problems studies


Number theory is a subdiscipline of math which studies the properties of numbers. "Study on Number Theory" section includes basic theory and special explored section The section of basic theories is a supplement to the main part of Elementary number theory, including, Pythagoras equation, congruence theory, unitary congruence equation, quadratic congruence equation and the original root and so on, and the basic theories also make considerable improvement for the above. May this old and promising subject become a part of middle-school math teaching. The part of thematic Exploratory includes the following chapters: a concrete explanation of Fermat conjecture; the primality test for Fermat Number Fn;the application of congruence equations; the distribution of related prime numbers; primes pair of even numbers; the fundamental problems of transfinite numbers.

6414 RUR

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Judith Roitman Introduction to Modern Set Theory


Introduction to Modern Set Theory is designed for aone-semester course in set theory at the advanced undergraduate or beginning graduate level. Three features are the full integration into the text of the study of models of set theory, the use of illustrative examples both in the text and in the exercises, and the integration of consistency results and large cardinals into the text early on. This book is aimed at two audiences: studentswho are interested in studying set theory for its own sake, and studentsin other areas who may be curious about applications of set theory totheir field. In particular, great care is taken to develop the intuitions thatlie behind modern, as well as classical, set theory, and to connect settheory with the rest of mathematics.

952 RUR

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Patrick Muldowney A Modern Theory of Random Variation. With Applications in Stochastic Calculus, Financial Mathematics, and Feynman Integration


A ground-breaking and practical treatment of probability and stochastic processes A Modern Theory of Random Variation is a new and radical re-formulation of the mathematical underpinnings of subjects as diverse as investment, communication engineering, and quantum mechanics. Setting aside the classical theory of probability measure spaces, the book utilizes a mathematically rigorous version of the theory of random variation that bases itself exclusively on finitely additive probability distribution functions. In place of twentieth century Lebesgue integration and measure theory, the author uses the simpler concept of Riemann sums, and the non-absolute Riemann-type integration of Henstock. Readers are supplied with an accessible approach to standard elements of probability theory such as the central limmit theorem and Brownian motion as well as remarkable, new results on Feynman diagrams and stochastic integrals. Throughout the book, detailed numerical demonstrations accompany the discussions of abstract mathematical theory, from the simplest elements of the subject to the most complex. In addition, an array of numerical examples and vivid illustrations showcase how the presented methods and applications can be undertaken at various levels of complexity. A Modern Theory of Random Variation is a suitable book for courses on mathematical analysis, probability theory, and mathematical finance at the upper-undergraduate and graduate levels. The book is also an indispensible resource for researchers and practitioners who are seeking new concepts, techniques and methodologies in data analysis, numerical calculation, and financial asset valuation. Patrick Muldowney, PhD, served as lecturer at the Magee Business School of the UNiversity of Ulster for over twenty years. Dr. Muldowney has published extensively in his areas of research, including integration theory, financial mathematics, and random variation.

10151.09 RUR

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Jorg Friedrich The Plasma Chemistry of Polymer Surfaces. Advanced Techniques for Surface Design


More than 99% of all visible matter in the universe occurs as highly ionized gas plasma with high energy content. Electrical low- and atmospheric-pressure plasmas are characterized by continuous source of moderate quantities of energy or enthalpy transferred predominantly as kinetic energy of electrons. Therefore, such energetically unbalanced plasmas have low gas temperature but produce sufficient energy for inelastic collisions with atoms and molecules in the gas phase, thus producing reactive species and photons, which are able to initiate all types of polymerizations or activate any surface of low reactive polymers. However, the broadly distributed energies in the plasma exceed partially the binding energies in polymers, thus initiating very often unselective reactions and polymer degradation. The intention of this book is to present new plasma processes and new plasma reactions of high selectivity and high yield. This book aims to bridge classical and plasma chemistry, particularly focusing on polymer chemistry in the bulk and on the surface under plasma exposure. The stability of surface functionalization and the qualitative and quantitative measurement of functional groups at polymer surface are featured prominently, and chemical pathways for suppressing the undesirable side effects of plasma exposure are proposed and illustrated with numerous examples. Special attention is paid to the smooth transition from inanimate polymer surfaces to modified bioactive polymer surfaces. A wide range of techniques, plasma types and applications are demonstrated.

2234.04 RUR

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Victor G Kac, Ashok K Raina BOMBAY LECTURES ON HIGHEST WEIGHT REPRESENTATIONS OF INFINITE DIMENSIONAL LIE ALGEBRA


This book is a collection of a series of lectures given by Prof. V Kac at Tata Institute, India in Dec '85 and Jan '86. These lectures focus on the idea of a highest weight representation, which goes through four different incarnations.The first is the canonical commutation relations of the infinite-dimensional Heisenberg Algebra (= oscillator algebra). The second is the highest weight representations of the Lie algebra gl∞ of infinite matrices, along with their applications to the theory of soliton equations, discovered by Sato and Date, Jimbo, Kashiwara and Miwa. The third is the unitary highest weight representations of the current (= affine Kac-Moody) algebras. These algebras appear in the lectures twice, in the reduction theory of soliton equations (KP → KdV) and in the Sugawara construction as the main tool in the study of the fourth incarnation of the main idea, the theory of the highest weight representations of the Virasoro algebra.This book should be very useful for both mathematicians and physicists. To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite-dimensional Lie algebras; and to physicists, this theory is turning into an important component of such domains of theoretical physics as soliton theory, theory of two-dimensional statistical models, and string theory.

7464 RUR

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Giorgio Celant Interpolation and Extrapolation Optimal Designs V1. Polynomial Regression Approximation Theory


This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.

10804.74 RUR

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Behera Rajiba Lochan The Verification Theory of Meaning. A Quinean Prospective


The book "The Verification Theory of Meaning: A Quinean Prospective" attempts at presenting a clear perspective on the verification theory of meaning in the field of philosophy of language. In the introductory chapter, the aim of meaning theory and the task of positivists are elaborated. Other topics covered hereby are the analytic propositions, synthetic propositions, logic, language, translation, theory, verification theory of meaning, cognitivism, subject/predicate relationship, meaning atomism, logical positivism, merit and demerit of verification theory, logical falsificationism, meaning holism. Each chapter is followed by plenty of experiences for the benefit of the reader and the researchers.

7264 RUR

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Kenneth Kunen The Foundations of Mathematics


Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general.This book is designed for students who plan to specialize in logic, as wellas for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginninggraduate-level course.There are three main chapters:Set Theory, Model Theory, and Recursion Theory.The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms.It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals.The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems,elementary submodels, model completeness, and applications to algebra.This chapter also continues the foundational issues begun in the set theory chapter.Mathematics can now be viewed as formal proofs from ZFC.Also, model theory leads to models of set theory.This includes a discussion of absoluteness, and an analysis of models such as H(κ) and R(γ).The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness...

3164 RUR

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W Narkiewicz, S Kanemitsu Number Theory


The aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.

3314 RUR

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James DeFilippis Readings in Planning Theory


Featuring updates and revisions to reflect rapid changes in an increasingly globalized world, Readings in Planning Theory remains the definitive resource for the latest theoretical and practical debates within the field of planning theory. Represents the newest edition of the leading text in planning theory that brings together the essential classic and cutting-edge readings Features 20 completely new readings (out of 28 total) for the fourth edition Introduces and defines key debates in planning theory with editorial materials and readings selected both for their accessibility and importance Systematically captures the breadth and diversity of planning theory and puts issues into wider social and political contexts without assuming prior knowledge of the field

4626.94 RUR

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A. Kim V. i-Smooth Analysis. Theory and Applications


The edition introduces a new class of invariant derivatives and shows their relationships with other derivatives, such as the Sobolev generalized derivative and the generalized derivative of the distribution theory. This is a new direction in mathematics. i-Smooth analysis is the branch of functional analysis that considers the theory and applications of the invariant derivatives of functions and functionals. The important direction of i-smooth analysis is the investigation of the relation of invariant derivatives with the Sobolev generalized derivative and the generalized derivative of distribution theory. Until now, i-smooth analysis has been developed mainly to apply to the theory of functional differential equations, and the goal of this book is to present i-smooth analysis as a branch of functional analysis. The notion of the invariant derivative (i-derivative) of nonlinear functionals has been introduced in mathematics, and this in turn developed the corresponding i-smooth calculus of functionals and showed that for linear continuous functionals the invariant derivative coincides with the generalized derivative of the distribution theory. This book intends to introduce this theory to the general mathematics, engineering, and physicist communities.

15050.19 RUR

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Ko Ker-I Theory of Computational Complexity


Praise for the First Edition «…complete, up-to-date coverage of computational complexity theory…the book promises to become the standard reference on computational complexity.» -Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research. A thorough revision based on advances in the field of computational complexity and readers’feedback, the Second Edition of Theory of Computational Complexity presents updates to theprinciples and applications essential to understanding modern computational complexitytheory. The new edition continues to serve as a comprehensive resource on the use of softwareand computational approaches for solving algorithmic problems and the related difficulties thatcan be encountered.Maintaining extensive and detailed coverage, Theory of Computational Complexity, SecondEdition, examines the theory and methods behind complexity theory, such as computationalmodels, decision tree complexity, circuit complexity, and probabilistic complexity. The SecondEdition also features recent dev

10310.95 RUR

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He Matthew Mathematics of Bioinformatics. Theory, Methods and Applications


Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.

9751.44 RUR

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David Cox A. Primes of the Form x2+ny2. Fermat, Class Field Theory, and Complex Multiplication


An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat’s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: • A well-motivated introduction to the classical formulation of class field theory • Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations • An elementary treatment of quadratic forms and genus theory • Simultaneous treatment of elementary and advanced aspects of number theory • New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.

4875.72 RUR

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Thomas W Judson Abstract Algebra. Theory and Applications


Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

1489 RUR

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Michel Rigo Advanced Graph Theory and Combinatorics


Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

11190.63 RUR

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Yukitaka Murakami Theory of Elasticity and Stress Concentration


Theory of Elasticity and Stress Concentration Yukitaka Murakami, Kyushu University, Japan A comprehensive guide to elasticity and stress concentration Theory of Elasticity and Stress Concentration comprehensively covers elasticity and stress concentration and demonstrates how to apply the theory to practical engineering problems. The book presents a new approach to the topic without the need for complicated mathematics, and the principles and meaning of stress concentration are covered without reliance on numerical analysis. The book consists of two parts: Part I – Theory of Elasticity and Part II – Stress Concentration. Part I treats the theory of elasticity from the viewpoint of helping the reader to comprehend the essence of it. Part II treats the principle and meaning of stress concentration and guides the reader to a better understanding of it. Throughout the book, many useful and interesting applications of the basic new way of thinking are presented and explained. Key features: Unique approach to the topics. Encourages the readers to acquire the new way of thinking and engineering judgement. Includes examples, problems and solutions. This book provides essential reading for researchers and practitioners in the structural and mechanical engineering industries.

9489.66 RUR

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Eric Scheuneman Theory of Nothing. Not Everything


For the past 100 years - starting with Albert Einstein in 1915 - scientists have been trying to'solve' the Universe.Why have the great minds of physicists and mathematicians- with incredible advances in technology - failed to producea theory of everything?This book is challenging conventional physics and cosmology by applying the Theory of Nothingto explain why there isNot a theory of everything.

1777 RUR

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Sandor Ferenczi Further Contributions to the Theory and Technique of Psycho-Analysis


Further Contributions to the Theory and Technique of Psycho-AnalysisИздательство: The Hogarth Press

500 RUR

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