krainaksiazek an introduction to the theory of groups of finite order 20121178

- znaleziono 39 produktów w 3 sklepach

Abstract Algebra - 2866653856

199,37 zł

Abstract Algebra Springer International Publishing AG

Książki / Literatura obcojęzyczna

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

Sklep: Libristo.pl

Fourier Analysis - 2866664011

571,11 zł

Fourier Analysis Princeton University Press

Książki / Literatura obcojęzyczna

This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences - that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis.Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. "The Princeton Lectures in Analysis" represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which "Fourier Analysis" is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing "Fourier" series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory.

Sklep: Libristo.pl

From Special Relativity to Feynman Diagrams - 2866648212

476,64 zł

From Special Relativity to Feynman Diagrams Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.

Sklep: Libristo.pl

From Special Relativity to Feynman Diagrams - 2867126022

349,52 zł

From Special Relativity to Feynman Diagrams Springer International Publishing AG

Książki / Literatura obcojęzyczna

This book, now in its second edition, provides an introductory course on theoretical particle physics with the aim of filling the gap that exists between basic courses of classical and quantum mechanics and advanced courses of (relativistic) quantum mechanics and field theory. After a concise but comprehensive introduction to special relativity, key aspects of relativistic dynamics are covered and some elementary concepts of general relativity introduced. Basics of the theory of groups and Lie algebras are explained, with discussion of the group of rotations and the Lorentz and Poincaré groups. In addition, a concise account of representation theory and of tensor calculus is provided. Quantization of the electromagnetic field in the radiation range is fully discussed. The essentials of the Lagrangian and Hamiltonian formalisms are reviewed, proceeding from systems with a finite number of degrees of freedom and extending the discussion to fields. The final four chapters are devoted to development of the quantum field theory, ultimately introducing the graphical description of interaction processes by means of Feynman diagrams. The book will be of value for students seeking to understand the main concepts that form the basis of contemporary theoretical particle physics and also for engineers and lecturers. An Appendix on some special relativity effects is added.

Sklep: Libristo.pl

Lectures on Vibrations - 2619309533

29,00 zł

Lectures on Vibrations Akademia Marynarki Wojennej

MECHANIKA

Owing to their flexibility, the components of structures and machinery are capable of relative motion when subjected to internal or external forces. If such motion is oscillatory in nature, the motion is referred to as vibration. Although applications exist where vibration performs a useful function, vibration in ships is undesirable as it tends to accelerate the wearing of parts such as bearings and gears, create excessive noise and transmit significant forces and/or motion to accommodation, working and recreation spaces as well as to other equipment. Humans may be exposed to vibrations transmitted to the whole body or to particular parts of the body, such as the head or limbs. Designers should primarily be concerned with vibrations transmitted to the body through supporting surfaces such as the buttocks or feet. Research shows that mechanical vibration interferes with work quality and productivity, safety, health, comfort, and causes motion sickness. The literature also shows that vibration may modify crewmember perception (e.g., reading text and instruments, depth perception), influence task control movements (e.g., tactile sense, head/hand movements, manual tracking) and lead to impairment of speech. These factors may result in increased crewmember reaction/response times and possibility of human error. There are many different sources of vibration in ships, such as propeller and stern wake, main engine and other machinery, wave loads and environmental effects. Due to the complexity of these sources of excitation and of the structural configuration of ships, harmful vibration problems still occur even though vibration prediction techniques have developed rapidly and are well established through the use of Finite Element Method software. Continuing research activities have shown that carrying out vibration control is a tend as well as requirement for ships and offshore structures. Also in many other engineering branches it is well known that the proper vibration control in the design process is necessary a safe and satisfactory working and living environment as well as to avoid abnormal wear and tear on the machinery and structures. Since vibration and noise disturb the surrounding medium, their levels should be low also from reason, particularly in submarines. The appropriately reduced acoustic emission and electromagnetic signature of submarines decrease a vessel

Sklep: Księgarnia Techniczna

Nuclear Locally Convex Spaces - 2867103050

285,10 zł

Nuclear Locally Convex Spaces Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

VI closely related to finite dimensional locally convex spaces than are normed spaces. In order to present a clear narrative I have omitted exact references to the literature for individual propositions. However, each chapter begins with a short introduction which also contains historical remarks. Deutsche Akademie der vVissenschaften zu Berlin Institut fur Reine Mathematik Albrecht Pietsch Foreword to the Second Edition Since the appearance of the first edition, some important advances have taken place in the theory of nuclear locally convex spaces. Firsts there is the Universality Theorem ofT. and Y. Komura which fully confirms a conjecture of Grothendieck. Also, of particular interest are some new existence theorems for bases in special nuclear locally convex spaces. Recently many authors have dealt with nuclear spaces of functions and distributions. Moreover, further classes of operators have been found which take the place of nuclear or absolutely summing operators in the theory of nuclear locally convex spaces. Unfortunately, there seem to be no new results on diametrai or approximative dimension and isomorphism of nuclear locally convex spaces. Since major changes have not been absolutely necessary I have restricted myself to minor additions. Only the tenth chapter has been substantially altered. Since the universality results no longer depend on the existence of a basis it was necessary to introduce an independent eleventh chapter on universal nuclear locally convex spaces. In the same chapter s-nuclear locally convex spaces are also briefly treated.

Sklep: Libristo.pl

Natural Operations in Differential Geometry - 2878437601

679,95 zł

Natural Operations in Differential Geometry Springer-Verlag Berlin and Heidelberg GmbH & Co....

Książki / Literatura obcojęzyczna

The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The book begins with an introduction to differential geometry stressing naturality and functionality, and the general theory of connections on arbitrary fibered manifolds. The functional approach to classical natural bundles is extended to a large class of geometrically interesting categories. Several methods of finding all natural operators are given and these are identified for many concrete geometric problems. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces, and the basic structures from the theory of jets are therefore described here too in a self-contained manner. §The relations of these geometric problems to corresponding questions in mathematical physics are brought out in several places in the book, and it closes with a very comprehensive bibliography of over 300 items. This book is a timely addition to literature filling the gap that existed here and will be standard reference on natural operators for the next few years.

Sklep: Libristo.pl

Book of Abstract Algebra - 2878292195

125,31 zł

Book of Abstract Algebra Dover Publications Inc.

Książki / Literatura obcojęzyczna

Chapter 1 Why Abstract AlgebraChapter 2 OperationsChapter 3 The Definition of GroupsChapter 4 Elementary Properties of GroupsChapter 5 SubgroupsChapter 6 FunctionsChapter 7 Groups of PermutationsChapter 8 Permutations of a Finite SetChapter 9 IsomorphismChapter 10 Order of Group ElementsChapter 11 Cyclic GroupsChapter 12 Partitions and Equivalence RelationsChapter 13 Counting CosetsChapter 14 HomomorphismChapter 15 Quotient GroupsChapter 16 The Fundamental Homomorphism TheoremChapter 17 Rings: Definitions and Elementary PropertiesChapter 18 Ideals and HomomorphismChapter 19 Quotient RingsChapter 20 Integral DomainsChapter 21 The IntegersChapter 22 Factoring into PrimesChapter 23 Elements of Number Theiory (Optional)Chapter 24 Rings of PolynomialsChapter 25 Factoring PolynomialsChapter 26 Substitution in PolynomialsChapter 27 Extensions of FieldsChapter 28 Vector SpacesChapter 29 Degrees of Field ExtensionsChapter 30 Ruler and CompassChapter 31 Galois Theory: PreambleChapter 32 Galois Theory: The Heart of the MatterChapter 33 Solving Equations by RadicalsAppendix A Review of Set TheoryAppendix B Review of the IntegersAppendix C Review of Mathematical Integers Answers to Selected Exercises Index

Sklep: Libristo.pl

How to Think About Abstract Algebra - 2870691419

112,55 zł

How to Think About Abstract Algebra Oxford University Press

Książki / Literatura obcojęzyczna

How to Think about Abstract Algebra provides an engaging and readable introduction to its subject, which encompasses group theory and ring theory. Abstract Algebra is central in most undergraduate mathematics degrees, and it captures regularities that appear across diverse mathematical structures - many people find it beautiful for this reason. But its abstraction can make its central ideas hard to grasp, and even the best students might find that they can follow some of the reasoning without really understanding what it is all about. This book aims to solve that problem. It is not like other Abstract Algebra texts and is not a textbook containing standard content. Rather, it is designed to be read before starting an Abstract Algebra course, or as a companion text once a course has begun. It builds up key information on five topics: binary operations, groups, quotient groups, isomorphisms and homomorphisms, and rings. It provides numerous examples, tables and diagrams, and its explanations are informed by research in mathematics education. The book also provides study advice focused on the skills that students need in order to learn successfully in their own Abstract Algebra courses. It explains how to interact productively with axioms, definitions, theorems and proofs, and how research in psychology should inform our beliefs about effective learning.

Sklep: Libristo.pl

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