Geometry: from Isometries to Special Relativity [[electronic resource] /] / by Nam-Hoon Lee

• Record Nr.: UNISA996418184703316
• Autore: Lee Nam-Hoon
• Pubbl/distr/stampa: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020
• ISBN: 3-030-42101-5
• Edizione: [1st ed. 2020.]
• Descrizione fisica: 1 online resource (XIII, 258 p. 92 illus., 18 illus. in color.)
• Collana: Undergraduate Texts in Mathematics, , 0172-6056
• Disciplina: 516
• Soggetti: Hyperbolic geometry; Convex geometry ; Discrete geometry; Mathematical physics; Hyperbolic Geometry; Convex and Discrete Geometry; Theoretical, Mathematical and Computational Physics
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
• Sommario/riassunto: This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein’s spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz–Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz–Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to ; visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed.

The dissent of the governed [[electronic resource] ] : a meditation on law, religion, and loyalty / / Stephen L. Carter

• Record Nr.: UNINA9910455457003321
• Autore: Carter Stephen L. <1954->
• Pubbl/distr/stampa: Cambridge, MA, : Harvard University Press, 1998
• ISBN: 0-674-26254-9; 0-674-02924-0
• Descrizione fisica: xi, 167 p
• Collana: The William E. Massey, Sr. lectures in the history of American civilization ; ; 1995
• Disciplina: 323.6/5
• Soggetti: Allegiance; Government, Resistance to; Religion and politics; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (p. [149]-157) and index.
• Nota di contenuto: Frontmatter -- Contents -- Preface -- 1 Allegiance -- 2 Disobedience -- 3 Interpretation -- Notes -- Index
• Sommario/riassunto: Between loyalty and disobedience; between recognition of the law's authority and realization that the law is not always right: In America, this conflict is historic, with results as glorious as the mass protests of the civil rights movement and as inglorious as the armed violence of the militia movement. In an impassioned defense of dissent, Stephen L. Carter argues for the dialogue that negotiates this conflict and keeps ; democracy alive. His book portrays an America dying from a refusal to engage in such a dialogue, a polity where everybody speaks, but nobody listens. The Dissent of the Governed is an eloquent diagnosis of what ails the American body politic--the unwillingness of people in power to hear disagreement unless forced to--and a prescription for a new process of response. Carter examines the divided American political character on dissent, with special reference to religion, identifying it in unexpected places, with an eye toward amending it before it destroys our democracy. At the heart of this work is a rereading of the Declaration of Independence that puts dissent, not consent, at the center of the question of the legitimacy of democratic government. Carter warns that our liberal constitutional ethos--the tendency to assume that the nation must everywhere be morally the same--pressures citizens to be other than themselves when being themselves would lead to disobedience. This tendency, he argues, is particularly hard on religious citizens, whose notion of community may be quite different from that of the sovereign majority of citizens. His book makes a powerful case for the autonomy of communities--especially but not exclusively religious--into which democratic citizens organize themselves as a condition for dissent, dialogue, and independence. With reference to a number of cases, Carter shows how disobedience is sometimes necessary to the heartbeat of our democracy--and how the distinction between challenging accepted norms and challenging the sovereign itself, a distinction crucial to the Declaration of Independence, must be kept alive if Americans are to progress and prosper as a nation.