The Schrodinger Model For The Minimal Representation Of The Indefinite Orthogonal Group O P Q

Author : Peter Woit
Publisher : Springer
Page : 668 pages
File Size : 44,5 Mb
Release : 2017-11-01
Category : Science
ISBN : 9783319646121

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Quantum Theory, Groups and Representations by Peter Woit Pdf

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

Author : O.L. de Lange,J. Pierrus
Publisher : Oxford University Press
Page : 608 pages
File Size : 45,7 Mb
Release : 2010-05-06
Category : Mathematics
ISBN : 9780199582525

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Solved Problems in Classical Mechanics by O.L. de Lange,J. Pierrus Pdf

simulated motion on a computer screen, and to study the effects of changing parameters. --

Author : Martin Cockett,Graham Doggett
Publisher : Royal Society of Chemistry
Page : 405 pages
File Size : 53,8 Mb
Release : 2012
Category : Education
ISBN : 9781849733595

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Maths for Chemists by Martin Cockett,Graham Doggett Pdf

A new edition of the combined Volumes I and II of the hugely successful "Tutorial Chemistry Texts: Maths for Chemists" provides an excellent resource for all undergraduate chemistry students.

Author : Pertti Lounesto
Publisher : Cambridge University Press
Page : 352 pages
File Size : 54,6 Mb
Release : 2001-05-03
Category : Mathematics
ISBN : 9780521005517

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Clifford Algebras and Spinors by Pertti Lounesto Pdf

This is the second edition of a popular work offering a unique introduction to Clifford algebras and spinors. The beginning chapters could be read by undergraduates; vectors, complex numbers and quaternions are introduced with an eye on Clifford algebras. The next chapters will also interest physicists, and include treatments of the quantum mechanics of the electron, electromagnetism and special relativity with a flavour of Clifford algebras. This edition has three new chapters, including material on conformal invariance and a history of Clifford algebras.

Author : Jürgen Appell
Publisher : Birkhäuser
Page : 261 pages
File Size : 50,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884112

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Recent Trends in Nonlinear Analysis by Jürgen Appell Pdf

The book contains a collection of 21 original research papers which report on recent developments in various fields of nonlinear analysis. The collection covers a large variety of topics ranging from abstract fields such as algebraic topology, functional analysis, operator theory, spectral theory, analysis on manifolds, partial differential equations, boundary value problems, geometry of Banach spaces, measure theory, variational calculus, and integral equations, to more application-oriented fields like control theory, numerical analysis, mathematical physics, mathematical economy, and financial mathematics. The book is addressed to all specialists interested in nonlinear functional analysis and its applications, but also to postgraduate students who want to get in touch with this important field of modern analysis. It is dedicated to Alfonso Vignoli who has essentially contributed to the field, on the occasion of his sixtieth birthday.

Author : Brian C. Hall
Publisher : Springer Science & Business Media
Page : 566 pages
File Size : 48,6 Mb
Release : 2013-06-19
Category : Science
ISBN : 9781461471165

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Quantum Theory for Mathematicians by Brian C. Hall Pdf

Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.

Author : Anonim
Publisher : Unknown
Page : 264 pages
File Size : 55,9 Mb
Release : 1982
Category : Securities
ISBN : MINN:30000007281862

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Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935 by Anonim Pdf

Author : Brian E. Blank,Steven George Krantz
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 55,5 Mb
Release : 2006
Category : Mathematics
ISBN : 1931914605

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Calculus by Brian E. Blank,Steven George Krantz Pdf

Calculus is one of the milestones of human thought, and has become essential to a broader cross-section of the population in recent years. This two-volume work focuses on today's best practices in calculus teaching, and is written in a clear, crisp style.

Author : Brian Hall
Publisher : Springer
Page : 452 pages
File Size : 48,8 Mb
Release : 2015-05-11
Category : Mathematics
ISBN : 9783319134673

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Lie Groups, Lie Algebras, and Representations by Brian Hall Pdf

This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject. In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including: a treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C) an unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras a self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula. Review of the first edition: This is an excellent book. It deserves to, and undoubtedly will, become the standard text for early graduate courses in Lie group theory ... an important addition to the textbook literature ... it is highly recommended. — The Mathematical Gazette

Author : François Treves
Publisher : Elsevier
Page : 582 pages
File Size : 45,8 Mb
Release : 2016-06-03
Category : Mathematics
ISBN : 9781483223629

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Topological Vector Spaces, Distributions and Kernels by François Treves Pdf

Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions. The book reviews the definitions of a vector space, of a topological space, and of the completion of a topological vector space. The text gives examples of Frechet spaces, Normable spaces, Banach spaces, or Hilbert spaces. The theory of Hilbert space is similar to finite dimensional Euclidean spaces in which they are complete and carry an inner product that can determine their properties. The text also explains the Hahn-Banach theorem, as well as the applications of the Banach-Steinhaus theorem and the Hilbert spaces. The book discusses topologies compatible with a duality, the theorem of Mackey, and reflexivity. The text describes nuclear spaces, the Kernels theorem and the nuclear operators in Hilbert spaces. Kernels and topological tensor products theory can be applied to linear partial differential equations where kernels, in this connection, as inverses (or as approximations of inverses), of differential operators. The book is suitable for vector mathematicians, for students in advanced mathematics and physics.

Author : Hugo Rossi
Publisher : American Mathematical Soc.
Page : 190 pages
File Size : 51,8 Mb
Release : 2024-06-28
Category : Mathematics
ISBN : 0821886207

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Prospects in Mathematics by Hugo Rossi Pdf

In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas. From Gromov's lecture on quantitative differential topology to Witten's discussion of string theory, new ideas and techniques transfixed the audience of international mathematicians. The volume contains 11 articles by leading mathematicians, including historical presentations by J. Milnor and D. Spencer. It provides a guide to some of the most significant mathematical work of the past decade.

Author : Brian E. Blank,Steven G. Krantz
Publisher : Wiley
Page : 0 pages
File Size : 45,9 Mb
Release : 2011-10-18
Category : Mathematics
ISBN : 0470453605

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Calculus by Brian E. Blank,Steven G. Krantz Pdf

Blank and Krantz's Calculus 2e brings together time-tested methods and innovative thinking to address the needs of today's students, who come from a wide range of backgrounds and look ahead to a variety of futures. Using meaningful examples, credible applications, and incisive technology, Blank and Krantz's Calculus 2e strives to empower students, enhance their critical thinking skills, and equip them with the knowledge and skills to succeed in the major or discipline they ultimately choose to study. Blank and Krantz's engaging style and clear writing make the language of mathematics accessible, understandable and enjoyable, while maintaining high standards for mathematical rigor. Blank and Krantz's Calculus 2e is available with WileyPLUS, an online teaching and learning environment initially developed for Calculus and Differential Equations courses. WileyPLUS integrates the complete digital textbook with powerful student and instructor resources as well as online auto-graded homework.

Author : Gerard van der Geer,C. Faber,Frans Oort
Publisher : Birkhäuser
Page : 526 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883030

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Moduli of Abelian Varieties by Gerard van der Geer,C. Faber,Frans Oort Pdf

Abelian varieties and their moduli are a topic of increasing importance in today`s mathematics, applications ranging from algebraic geometry and number theory to mathematical physics. This collection of 17 refereed articles originates from the third "Texel Conference" held in 1999. Leading experts discuss and study the structure of the moduli spaces of abelian varieties and related spaces, giving an excellent view of the state of the art in this field.

Author : Martin Cockett,Graham Doggett
Publisher : Royal Society of Chemistry
Page : 196 pages
File Size : 40,6 Mb
Release : 2003
Category : Education
ISBN : 0854046771

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Maths for Chemists: Numbers, functions and calculus by Martin Cockett,Graham Doggett Pdf

An excellent resource for students who need support and understanding in working with the diverse mathematical tools required in a typical chemistry degree course.

Author : Shing-Tung Yau
Publisher : American Mathematical Soc.
Page : 460 pages
File Size : 43,6 Mb
Release : 1998
Category : Conformal invariants
ISBN : 9780821827437

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Mirror Symmetry I by Shing-Tung Yau Pdf

Vol. 1 represents a new ed. of papers which were originally published in Essays on mirror manifolds (1992); supplemented by the additional volume: Mirror symmetry 2 which presents papers by both physicists and mathematicians. Mirror symmetry 1 (the 1st volume) constitutes the proceedings of the Mathematical Sciences Research Institute Workshop of 1991.