Lectures in Classical Mechanics
Lectures in Classical Mechanics

Author: Victor Ilisie

Publisher: Springer Nature

Published: 2020-02-05

Total Pages: 359

ISBN-13: 303038585X

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This exceptionally well-organized book uses solved problems and exercises to help readers understand the underlying concepts of classical mechanics; accordingly, many of the exercises included are of a conceptual rather than practical nature. A minimum of necessary background theory is presented, before readers are asked to solve the theoretical exercises. In this way, readers are effectively invited to discover concepts on their own. While more practical exercises are also included, they are always designed to introduce readers to something conceptually new. Special emphasis is placed on important but often-neglected concepts such as symmetries and invariance, especially when introducing vector analysis in Cartesian and curvilinear coordinates. More difficult concepts, including non-inertial reference frames, rigid body motion, variable mass systems, basic tensorial algebra, and calculus, are covered in detail. The equations of motion in non-inertial reference systems are derived in two independent ways, and alternative deductions of the equations of motion for variable mass problems are presented. Lagrangian and Hamiltonian formulations of mechanics are studied for non-relativistic cases, and further concepts such as inertial reference frames and the equivalence principle are introduced and elaborated on.

Supersymmetry: Lectures And Reprints (In 2 Volumes)
Supersymmetry: Lectures And Reprints (In 2 Volumes)

Author: Sergio Ferrara

Publisher: World Scientific

Published: 1987-10-01

Total Pages: 1371

ISBN-13: 9814513539

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These volumes, a collection of a series of articles with commentary notes by the editor, describe supersymmetric theories for particle interactions from the earliest developments to the latest advancements. The book, divided into two volumes, will mainly focus its attention on subjects related to the application of N = 1 supersymmetry and supergravity to unified theories, encompassing all fundamental forces of nature. Particular emphasis is given to the ultraviolet cancellations in supersymmetric field theories, naturalness and hierarchy of scales, spontaneous symmetry breaking, super-Higgs effect and its applications to high energy physics. Both perturbative and non-perturbative aspects of supersymmetric field theories are covered. Over a hundred seminar papers are reprinted in these volumes.

Lectures in Classical Thermodynamics with an Introduction to Statistical Mechanics
Lectures in Classical Thermodynamics with an Introduction to Statistical Mechanics

Author: Daniel Blankschtein

Publisher: Springer Nature

Published: 2021-03-15

Total Pages: 758

ISBN-13: 3030491986

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This textbook facilitates students’ ability to apply fundamental principles and concepts in classical thermodynamics to solve challenging problems relevant to industry and everyday life. It also introduces the reader to the fundamentals of statistical mechanics, including understanding how the microscopic properties of atoms and molecules, and their associated intermolecular interactions, can be accounted for to calculate various average properties of macroscopic systems. The author emphasizes application of the fundamental principles outlined above to the calculation of a variety of thermodynamic properties, to the estimation of conversion efficiencies for work production by heat interactions, and to the solution of practical thermodynamic problems related to the behavior of non-ideal pure fluids and fluid mixtures, including phase equilibria and chemical reaction equilibria. The book contains detailed solutions to many challenging sample problems in classical thermodynamics and statistical mechanics that will help the reader crystallize the material taught. Class-tested and perfected over 30 years of use by nine-time Best Teaching Award recipient Professor Daniel Blankschtein of the Department of Chemical Engineering at MIT, the book is ideal for students of Chemical and Mechanical Engineering, Chemistry, and Materials Science, who will benefit greatly from in-depth discussions and pedagogical explanations of key concepts. Distills critical concepts, methods, and applications from leading full-length textbooks, along with the author’s own deep understanding of the material taught, into a concise yet rigorous graduate and advanced undergraduate text; Enriches the standard curriculum with succinct, problem-based learning strategies derived from the content of 50 lectures given over the years in the Department of Chemical Engineering at MIT; Reinforces concepts covered with detailed solutions to illuminating and challenging homework problems.

Lectures on Classical and Quantum Theory of Fields
Lectures on Classical and Quantum Theory of Fields

Author: Henryk Arodz

Publisher: Springer

Published: 2017-04-22

Total Pages: 360

ISBN-13: 3319556193

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This textbook addresses graduate students starting to specialize in theoretical physics. It provides didactic introductions to the main topics in the theory of fields, while taking into account the contemporary view of the subject. The student will find concise explanations of basic notions essential for applications of the theory of fields as well as for frontier research in theoretical physics. One third of the book is devoted to classical fields. Each chapter contains exercises of varying degree of difficulty with hints or solutions, plus summaries and worked examples as useful. It aims to deliver a unique combination of classical and quantum field theory in one compact course.

Lectures on Gaussian Integral Operators and Classical Groups
Lectures on Gaussian Integral Operators and Classical Groups

Author: Yu. A. Neretin

Publisher: European Mathematical Society

Published: 2011

Total Pages: 576

ISBN-13: 9783037190807

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This book is an elementary self-contained introduction to some constructions of representation theory and related topics of differential geometry and analysis. Topics covered include the theory of various Fourier-like integral operators such as Segal-Bargmann transforms, Gaussian integral operators in $L^2$ and in the Fock space, integral operators with theta-kernels, the geometry of real and $p$-adic classical groups and symmetric spaces. The heart of the book is the Weil representation of the symplectic group (real and complex realizations, relations with theta-functions and modular forms, $p$-adic and adelic constructions) and representations in Hilbert spaces of holomorphic functions of several complex variables. This book is addressed to graduate students and researchers in representation theory, differential geometry, and operator theory. Prerequisites are standard university courses in linear algebra, functional analysis, and complex analysis.

Secret Brotherhoods, Three Lectures Given at Dornach on the 18th, 19th, 25th, November 1917
Secret Brotherhoods, Three Lectures Given at Dornach on the 18th, 19th, 25th, November 1917

Author: Rudolf Steiner

Publisher: Lulu.com

Published: 2017-04-21

Total Pages: 88

ISBN-13: 1365644200

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This is a classic reprint of a hard-to-find esoteric work by Rudolf Steiner (27 (or 25) February 1861 - 30 March 1925). It was given at Dornach Switzerland during WWI, most likely at the first Goetheanum (designed by Steiner), which was begun in 1913 for the Anthroposophical Society, and completed in 1919.

Lectures on Curves, Surfaces and Projective Varieties
Lectures on Curves, Surfaces and Projective Varieties

Author: Mauro Beltrametti

Publisher: European Mathematical Society

Published: 2009

Total Pages: 512

ISBN-13: 9783037190647

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This book offers a wide-ranging introduction to algebraic geometry along classical lines. It consists of lectures on topics in classical algebraic geometry, including the basic properties of projective algebraic varieties, linear systems of hypersurfaces, algebraic curves (with special emphasis on rational curves), linear series on algebraic curves, Cremona transformations, rational surfaces, and notable examples of special varieties like the Segre, Grassmann, and Veronese varieties. An integral part and special feature of the presentation is the inclusion of many exercises, not easy to find in the literature and almost all with complete solutions. The text is aimed at students in the last two years of an undergraduate program in mathematics. It contains some rather advanced topics suitable for specialized courses at the advanced undergraduate or beginning graduate level, as well as interesting topics for a senior thesis. The prerequisites have been deliberately limited to basic elements of projective geometry and abstract algebra. Thus, for example, some knowledge of the geometry of subspaces and properties of fields is assumed. The book will be welcomed by teachers and students of algebraic geometry who are seeking a clear and panoramic path leading from the basic facts about linear subspaces, conics and quadrics to a systematic discussion of classical algebraic varieties and the tools needed to study them. The text provides a solid foundation for approaching more advanced and abstract literature.

Precisions on the Present State of Architecture and City Planning
Precisions on the Present State of Architecture and City Planning

Author: Le Corbusier

Publisher: Park Publishing (WI)

Published: 2015-03

Total Pages: 304

ISBN-13: 9783906027654

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Coinciding with the 50th anniversary of his death (August 27, 2015), one of Le Corbusier's most significant books becomes available again in English. We are doing a reprint of MIT Press's first edition of 1991, which again is based on the original French version of 1930, with an introduction added by the author in 1960. While the MIT Press version had black-and-white illustrations throughout, Park Books' new edition features some of Le Corbusier's drawings in color as they were in the earlier French editions. A new essay by British scholar Tim Benton, written for this new edition, contextualizes the book within Le Corbusier's oeuvre and comments on its lasting significance. An also new appendix explains specialist terms and provides background information on persons and historic events no longer necessarily known to a younger generation of architects. The Precisions, as the book is known commonly, emerged from a spontaneous and exuberant series of 10 lectures Le Corbusier gave in Buenos Aires during the fall of 1929. As he spoke, Le Corbusier improvised drawings on large sheets of paper with crayons. While similar drawings appear in other works, here all the lectures and images appear in their original context as Le Corbusier assembled them more than 80 years ago. The texts reflect a new maturity in Le Corbusier's thinking and an extreme confidence in the development of his ideas. The drawings and lectures are unique in their eloquent and concise summary of his philosophy of architecture and urban design, stating the principles that informed his work from the 1920s on. They contain some of his most compelling aphorisms, both verbal and visual, covering technique as the basis of architecture, the human scale in design, furniture, the private house, apartments and office buildings, the city, the League of Nations competition, teaching architecture, and a splendid analysis of the transformation of his own work in houses from La Roche-Jeanneret to the Villa Savoye. [Based on MIT Press's copy for their 1991 edition]