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001445450 001__ 1445450
001445450 003__ OCoLC
001445450 005__ 20230310003831.0
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001445450 020__ $$a9789811666445$$q(electronic bk.)
001445450 020__ $$a981166644X$$q(electronic bk.)
001445450 020__ $$z9789811666438
001445450 020__ $$z9811666431
001445450 0247_ $$a10.1007/978-981-16-6644-5$$2doi
001445450 035__ $$aSP(OCoLC)1306025347
001445450 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dOCLCO$$dEBLCP$$dUKAHL$$dOCLCQ
001445450 049__ $$aISEA
001445450 050_4 $$aQC311.2$$b.S34 2022
001445450 08204 $$a536/.70151$$223
001445450 1001_ $$aSagawa, Takahiro,$$eauthor.
001445450 24510 $$aEntropy, divergence, and majorization in classical and quantum thermodynamics /$$cTakahiro Sagawa.
001445450 264_1 $$aSingapore :$$bSpringer,$$c[2022]
001445450 264_4 $$c©2022
001445450 300__ $$a1 online resource :$$billustrations.
001445450 336__ $$atext$$btxt$$2rdacontent
001445450 337__ $$acomputer$$bc$$2rdamedia
001445450 338__ $$aonline resource$$bcr$$2rdacarrier
001445450 4901_ $$aSpringerBriefs in mathematical physics,$$x2197-1765 ;$$vvolume 16
001445450 504__ $$aIncludes bibliographical references.
001445450 5050_ $$a1Introduction -- 2Classical entropy and divergence -- 3Classical majorization -- 4Classical thermodynamics -- 5Quantum entropy and divergence -- 6Quantum majorization -- 7Approximate and asymptotic majorization and divergence -- 8Quantum thermodynamics -- AGeneral quantum divergences and their monotonicity -- BHypothesis testing -- CClassical asymptotic equipartition properties -- References.
001445450 506__ $$aAccess limited to authorized users.
001445450 520__ $$aRich information-theoretic structure in out-of-equilibrium thermodynamics exists in both the classical and quantum regimes, leading to the fruitful interplay among statistical physics, quantum information theory, and mathematical theories such as matrix analysis and asymptotic probability theory. The main purpose of this book is to clarify how information theory works behind thermodynamics and to shed modern light on it. The book focuses on both purely information-theoretic concepts and their physical implications. From the mathematical point of view, rigorous proofs of fundamental properties of entropies, divergences, and majorization are presented in a self-contained manner. From the physics perspective, modern formulations of thermodynamics are discussed, with a focus on stochastic thermodynamics and resource theory of thermodynamics. In particular, resource theory is a recently developed field as a branch of quantum information theory to quantify "useful resources" and has an intrinsic connection to various fundamental ideas of mathematics and information theory. This book serves as a concise introduction to important ingredients of the information-theoretic formulation of thermodynamics. .
001445450 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 31, 2022).
001445450 650_0 $$aThermodynamics$$xMathematics.
001445450 650_6 $$aThermodynamique$$xMathématiques.
001445450 655_0 $$aElectronic books.
001445450 77608 $$iPrint version: $$z9811666431$$z9789811666438$$w(OCoLC)1266255365
001445450 77608 $$iPrint version:$$aSagawa, Takahiro.$$tEntropy, divergence, and majorization in classical and quantum thermodynamics.$$dSingapore : Springer, 2022$$z9789811666438$$w(OCoLC)1295101599
001445450 830_0 $$aSpringerBriefs in mathematical physics ;$$vv. 16.$$x2197-1765
001445450 852__ $$bebk
001445450 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-6644-5$$zOnline Access$$91397441.1
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001445450 980__ $$aBIB
001445450 980__ $$aEBOOK
001445450 982__ $$aEbook
001445450 983__ $$aOnline
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