Lie Groups, Lie Algebras, and Their Representations
ISBN: 9780387909691 / Angielski / Twarda / 434 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I revised the notes substantially. It is the revised version that is now appearing in book form. The theory of Lie groups plays a fundamental role in many areas of mathematics. There are a number of books on the subject currently available -most notably those of Chevalley, Jacobson, and Bourbaki-which present various aspects of the theory in great depth. However, 1 feei there is a need for a single book in English which develops both the algebraic...
This book has grown out of a set of lecture notes I had prepared for a course on Lie groups in 1966. When I lectured again on the subject in 1972, I r...
|
|
cena:
261,12 zł |
Differential and Riemannian Manifolds
ISBN: 9780387943381 / Angielski / Twarda / 364 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and...
This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period o...
|
|
cena:
331,49 zł |
Partial Differential Equations: Basic Theory
ISBN: 9780387946542 / Angielski / Miękka / 588 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modem as weIl as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems,...
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disc...
|
|
cena:
194,97 zł |
The Fundamental Theorem of Algebra
ISBN: 9780387946573 / Angielski / Twarda / 210 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, each of these first proofs leads to more general results from which the fundamental theorem can be deduced as a direct consequence. These general results constitute the second proof in each pair. To arrive at each of the...
The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theore...
|
|
cena:
311,98 zł |
Spherical Inversion on Sln(r)
ISBN: 9780387951157 / Angielski / Twarda / 426 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Harish-Chandras general Plancherel inversion theorem admits a much shorter presentation for spherical functions. Previous expositions have dealt with a general, wide class of Lie groups. This has made access to the subject difficult for outsiders, who may wish to connect some aspects with several if not all other parts of mathematics. In this book, the essential features of Harish-Chandra theory are exhibited on SLn(R), but hundreds of pages of background are replaced by short direct verifications. The material is accessible to graduate students with no background in Lie groups and...
Harish-Chandras general Plancherel inversion theorem admits a much shorter presentation for spherical functions. Previous expositions have dealt with ...
|
|
cena:
389,98 zł |
Multiple-Time-Scale Dynamical Systems
ISBN: 9780387951263 / Angielski / Twarda / 273 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biological systems, to name just a few. This volume contains papers that expose the state of the art in mathematical techniques for analyzing such systems. Recently developed geometric ideas are highlighted in this work that includes a theory of relaxation-oscillation phenomena in higher dimensional phase spaces. Subtle exponentially small effects result from singular perturbations implicit in certain multiple time scale systems. Their role in the...
Systems with sub-processes evolving on many different time scales are ubiquitous in applications: chemical reactions, electro-optical and neuro-biolog...
|
|
cena:
585,00 zł |
Smooth Manifolds and Observables
ISBN: 9780387955438 / Angielski / Twarda / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory. This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an al... |
|
cena:
194,97 zł |
Representation Theory: A First Course
ISBN: 9780387974958 / Angielski / Miękka / 551 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goal is shared by quite a few other books, we should explain in this Preface how our approach differs, although the potential reader can probably see this better by a quick browse through the book. Representation theory is simple to define: it is the study of the ways in which a given group may act on vector spaces. It is almost certainly unique, however, among such clearly delineated subjects, in the breadth of its interest to mathematicians. This...
The primary goal of these lectures is to introduce a beginner to the finite dimensional representations of Lie groups and Lie algebras. Since this goa...
|
|
cena:
253,48 zł |
Classical Topology and Combinatorial Group Theory
ISBN: 9780387979700 / Angielski / Twarda / 336 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept...
In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsber...
|
|
cena:
389,98 zł |
A Course on Borel Sets
ISBN: 9780387984124 / Angielski / Twarda / 264 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is...
A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory...
|
|
cena:
311,98 zł |
Weyl Transforms
ISBN: 9780387984148 / Angielski / Twarda / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is an outgrowth of courses given by me for graduate students at York University in the past ten years. The actual writing of the book in this form was carried out at York University, Peking University, the Academia Sinica in Beijing, the University of California at Irvine, Osaka University, and the University of Delaware. The idea of writing this book was ?rst conceived in the summer of 1989, and the protracted period of gestation was due to my daily duties as a professor at York University. I would like to thank Professor K. C. Chang, of Peking University; Professor Shujie Li, of...
This book is an outgrowth of courses given by me for graduate students at York University in the past ten years. The actual writing of the book in thi...
|
|
cena:
194,97 zł |
Introduction to Mechanics and Symmetry: A Basic Exposition of Classical Mechanical Systems
ISBN: 9780387986432 / Angielski / Twarda / 586 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of the book is to develop the basic theory and applications of mechanics with an emphasis on the role of symmetry. In recent times, the interest in mechanics, and in symmetry techniques in particular, has accelerated because of developments in dynamical systems, the use of geometric methods and new applications to integrable and chaotic systems, control systems, stability and bifurcation, and the study of specific rigid, fluid, plasma and elastic...
Symmetry has always played an important role in mechanics, from fundamental formulations of basic principles to concrete applications. The theme of th...
|
|
cena:
328,01 zł |
Handbook of Knot Theory
ISBN: 9780444514523 / Angielski / Twarda / 492 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology, combinatorics, algebra, mathematical physics and biochemistry. * Survey of mathematical knot theory
* Articles by leading world authorities * Clear exposition, not over-technical * Accessible to readers with undergraduate... This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imag...
|
|
cena:
703,42 zł |
Graph Coloring Problems
ISBN: 9780471028659 / Angielski / Miękka / 320 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. The field of graph colouring is an area of discrete mathematics which gives operation research scientists the ability to classify components of a set within given constraints which are generated as a graph. By identifying more than 200 unsolved problems, this text shows a central aspect of discrete mathematics in a new perspective and creates challenges for its readers. Information is also provided on related results and the reference literature.
The field of graph colouring is an area of discrete mathematics which gives operation research scientists the ability to classify components of a set ...
|
|
cena:
879,67 zł |
Quantized Vortices in Helium II
ISBN: 9780521018142 / Angielski / Miękka / 368 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Vortex waves have become a major preoccupation of workers in superfluidity. This book discusses the properties of quantized vortex lines in superfluid helium II in the light of research on vortices in modern fluid mechanics. The author begins with a review of classical fluid dynamics relevant to the main topics of the book. This is followed by a presentation of basic material on helium II and quantized vortices. The following chapters deal with various different aspects of the subject including vortex dynamics and mutual friction, the structure of quantized vortices, vortex arrays, and vortex...
Vortex waves have become a major preoccupation of workers in superfluidity. This book discusses the properties of quantized vortex lines in superfluid...
|
|
cena:
310,88 zł |
Applied Differential Geometry
ISBN: 9780521269292 / Angielski / Miękka / 436 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the...
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physic...
|
|
cena:
351,66 zł |
Topological Topics: Articles on Algebra and Topology Presented to Professor P J Hilton in Celebration of His Sixtieth Birthday
ISBN: 9780521275811 / Angielski / Miękka / 196 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of topology and algebra. The present volume is to celebrate the occasion of his sixtieth birthday. It begins with a bibliography of his work, followed by reviews of his contributions to topology and algebra. These are followed by eleven research papers concerned with various topics of current interest in algebra and topology. The articles are contributed by some of the many mathematicians with whom he has worked at one time or another. This book...
Professor Peter Hilton is one of the best known mathematicians of his generation. He has published almost 300 books and papers on various aspects of t...
|
|
cena:
157,96 zł |
Polytopes and Symmetry
ISBN: 9780521277396 / Angielski / Miękka / 132 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a fresh approach to the classification of these objects according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the familiar set of five Platonic...
Convex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a...
|
|
cena:
157,96 zł |
An Introduction to Catastrophe Theory
ISBN: 9780521297820 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Almost every scientist has heard of catastrophe theory and knows that there has been a considerable amount of controversy surrounding it. Yet comparatively few know anything more about it than they may have read in an article written for the general public. The aim of this book is to make it possible for anyone with a comparatively modest background in mathematics - no more than is usually included in a first year university course for students not specialising in the subject - to understand the theory well enough to follow the arguments in papers in which it is used and, if the occasion...
Almost every scientist has heard of catastrophe theory and knows that there has been a considerable amount of controversy surrounding it. Yet comparat...
|
|
cena:
188,55 zł |
Geometry and Interpolation of Curves and Surfaces
ISBN: 9780521321532 / Angielski / Twarda / 430 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applications in engineering analysis, approximation, and curve plotting problems. Because of its usefulness for computing, the algebraic approach is the main theme, but a brief discussion of the synthetic approach is also presented as a way of gaining additional insight before proceeding with the algebraic manipulation. The authors start with simple interpolation, including splines, and extend this in an intuitive fashion to the production of conic...
This text takes a practical, step-by-step approach to algebraic curves and surface interpolation motivated by the understanding of the many applicatio...
|
|
cena:
596,38 zł |