Mathematical / Computational / Theoretical physics Books
de Gruyter Turbulente Scherströmungen Freie Turbulenz
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£134.09
de Gruyter Forschungsarbeiten Zur Strömungsturbulenz
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£134.09
de Gruyter Turbulente Scherströmungen
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£134.09
de Gruyter Beiträge Zur Theoretischen Und Experimentellen
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£134.09
de Gruyter Beiträge Zur Schwingungstheorie
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£134.09
de Gruyter Gravitationstheorie Und Theorie Der
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£134.09
de Gruyter Zufallsschwingungen Mechanischer Systeme
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£134.09
de Gruyter Möglichkeiten Der Experimentellen
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£134.09
de Gruyter Bemerkungen Über Die Stabilitätsuntersuchungen
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£134.09
de Gruyter Ein Neues WirbelTheorem Der Hydrodynamik
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£134.09
de Gruyter Eine Beziehung Zwischen Phasengeschwindigkeit
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£134.09
Springer Fachmedien Wiesbaden Grundkurs Theoretische Physik 6: Statistische
Book SynopsisDer Grundkurs Theoretische Physik deckt in 7 Bänden alle für das Diplom und für Bachelor/Master-Studiengänge maßgeblichen Gebiete ab. Jeder Band vermittelt das im jeweiligen Semester notwendige theoretisch-physikalische Rüstzeug. Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffs. Der 6. Band zur Statistischen Physik wurde für die Neuauflage grundlegend überarbeitet und um aktuelle Entwicklungen ergänzt. Durch die zweifarbige Gestaltung ist der Stoff jetzt noch übersichtlicher gegliedert.Table of ContentsKlassische statistische Physik.- Quantenstatistik.- Quantengase.- Phasenübergänge.- Lösungen der Übungsaufgaben.
£47.49
Para Pensar Mejor
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£23.71
Springer Verlag, Singapore Vibration Analysis of Functionally Graded
Book SynopsisThis book presents a detailed study on the vibration analysis of functionally graded piezoelectric actuators excited under the shear effect. Two types of actuator geometries viz. beam and annular plate are considered, where the material properties are assumed to have a continuous variation in accordance with a power law distribution. The generalized differential quadrature method is used to obtain the solutions, and is compared to exact analytical results. The methodology reported and the numerical results presented will be useful for the design of devices utilizing functionally graded piezoelectric actuators under the influence of shear. Table of Contents1. Overview.- 2. Fundamentals of Piezoceramics.- 3. Basics of FGM and FGPM.- 4. Fundamentals of DQ Method.- 5. Vibration Analysis of FGPM Beam.- 6. Vibration Analysis of FGPM annular plate.- 7. Summary and Conclusions.
£47.49
MP-AMM American Mathematical Continuous Symmetries and Integrability of
Book SynopsisFocuses on integrable systems and symmetries presents new results on applications of symmetries and integrability techniques to the case of equations defined on the lattice. This relatively new field has many applications, for example, in describing the evolution of crystals and molecular systems defined on lattices.Table of Contents Introduction Integrability and symmetries of nonlinear differential and difference equations in two independent variables Symmetries as integrability criteria Construction of lattice equations and their Lax pair Transformation groups for quad lattice equations Algebraic entropy of the nonautonomous Boll equations Translation from Russian of R. I. Yamilov, ''On the classification of discrete eqautions'', reference [841] No quad-graph equation can have a generalized symmetry given by the narita-Itoh-Bogoyavlensky equation Bibliography Subject Index
£99.90
MP-AMM American Mathematical Topology Calgebras and String Duality
Book SynopsisBased on CBMS lectures given at Texas Christian University, this book describes some of the interplay between string dualities and topology and operator algebras. It shows how several seemingly disparate subjects are closely linked with one another. It gives readers an overview of some areas of research.
£34.15
MP-AMM American Mathematical Dirichlet Branes and Mirror Symmetry
Book SynopsisResearch in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.
£109.25
MP-AMM American Mathematical Mirror Symmetry
Book SynopsisTrade Review“This book, a product of the collective efforts of the lecturers at the School organized ... by the Clay Mathematics Institute, is a valuable contribution to the continuing intensive collaboration of physicists and mathematicians. It will be of great value to young and mature researchers in both communities interested in this fascinating modern grand unification project.” - Yuri Manin, Max Planck Institute for Mathematics, Bonn, GermanyTable of Contents Part 1. Mathematical Preliminaries: Differential geometry Algebraic geometry Differential and algebraic topology Equivariant cohomology and fixed-point theorems Complex and Kahler geometry Calabi-Yau manifolds and their moduli Toric geometry for string theory Part 2. Physics Preliminaries: What is a QFT? QFT in $d=0$ QFT in dimension 1: Quantum mechanics Free quantum field theories 1 + 1 dimensions $\mathcal{N} = (2,2)$ supersymmetry Non-linear sigma models and Landau-Ginzburg models Renormalization group flow Linear sigma models Chiral rings and topological field theory Chiral rings and the geometry of the vacuum bundle BPS solitons in $\mathcal{N}=2$ Landau-Ginzburg theories D-branes Part 3. Mirror Symmetry: Physics Proof: Proof of mirror symmetry Part 4. Mirror Symmetry: Mathematics Proof: Introduction and overview Complex curves (non-singular and nodal) Moduli spaces of curves Moduli spaces $\bar{\mathcal M}_{g,n}(X,\beta)$ of stable maps Cohomology classes on $\bar{\mathcal M}_{g,n}$ and ($\bar{\mathcal M})_{g,n}(X,\beta)$ The virtual fundamental class, Gromov-Witten invariants, and descendant invariants Localization on the moduli space of maps The fundamental solution of the quantum differential equation The mirror conjecture for hypersurfaces I: The Fano case The mirror conjecture for hypersurfaces II: The Calabi-Yau case Part 5. Advanced Topics: Topological strings Topological strings and target space physics Mathematical formulation of Gopakumar-Vafa invariants Multiple covers, integrality, and Gopakumar-Vafa invariants Mirror symmetry at higher genus Some applications of mirror symmetry Aspects of mirror symmetry and D-branes More on the mathematics of D-branes: Bundles, derived categories and Lagrangians Boundary $\mathcal{N}=2$ theories References Bibliography Index
£128.70
MP-AMM American Mathematical Introduction to Analytic and Probabilistic Number
Book SynopsisTrade ReviewThe author has made important contributions to number theory and his mastery of the material is reflected in the exposition, which is lucid, elegant, and accurate" - Mathematical ReviewsTable of Contents Elementary methods Some tools from real analysis Prime numbers Arithmetic functions Average orders Sieve methods Extremal orders The method of van der Corput Diophantine approximation Complex analysis methods The Euler gamma function Generating functions: Dirichlet series Summation formulae The Riemann zeta function The prime number theorem and the Riemann hypothesis The Selberg-Delange method Two arithmetic applications Tauberian theorems Primes in arithmetic progressions Probabilistic methods Densities Limiting distributions of arithmetic functions Normal order Distribution of additive functions and mean values of multiplicative functions Friable integers The saddle-point method Integers free of small factors Bibliography Index
£108.00
MP-AMM American Mathematical Hyperbolic Dynamics Fluctuations and Large
Book SynopsisThe papers in this volume cover topics in large deviations and thermodynamics formalism and limit theorems for dynamic systems. The material presented is primarily directed at researchers and graduate students in the very broad area of dynamical systems and ergodic theory, but will also be of interest to researchers in related areas.Table of Contents Hyperbolic dynamics, fluctuations and large deviations by D. Dolgopyat, Y. Pesin, M. Pollicott, and L. Stoyanov Large deviations and thermodynamical formalism: The almost Borel structure of diffeomorphisms with some hyperbolicity by J. Buzzi Lectures on large deviations in probability and dynamical systems by Y. Kifer Thermodynamic formalism for countable Markov shifts by O. M. Sarig Limit theorems for dynamical systems: Limit theorems for horocycle flows by G. Forni Limit theorems in dynamical systems using the spectral method by S. Gouezel Kinetic limits of dynamical systems by J. Marklof Additional topics: Limit theorems for toral translations by D. Dolgopyat and B. Fayad Spectral gap properties and limit theorems for some random walks and dynamical systems by Y. Guivarc'h The martingale approach after Varadhan and Dolgopyat by J. De Simoi and C. Liverani
£110.70
MP-NCA Uni of North Carolina Differential Geometry in Physics
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£20.76
MP-AMM American Mathematical Random Matrices and the SixVertex Model
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£103.50
MP-AMM American Mathematical Random Growth Models
Book SynopsisBased on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held in 2017. The articles give an introduction to the most-studied models; first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation.Table of Contents M. Damron, Random growth models: Shape and convergence rate J. Hanson, Infinite geodesics, asymptotic directions, and Busemann functions in first-passage percolation P. Sosoe, Fluctuations in first-passage percolation F. Rassoul-Agha, Busemann functions, geodesics, and the competition interface for directed last-passage percolation T. Seppalainen, The corner growth model with exponential weights I. Corwin, Exactly solving the KPZ equation Index.
£101.70
MP-AMM American Mathematical Asymptotics of Random Matrices and Related Model
Book SynopsisDescribes a general strategy to study the fluctuations of strongly interacting random variables. This strategy is based on the asymptotic analysis of Dyson-Schwinger (or loop) equations. The author shows how these equations are derived, and how to obtain the concentration of measure estimates required to study these equations asymptotically.Table of Contents Introduction The example of the GUE Wigner random matrices Beta-ensembles Discrete beta-ensembles Continuous beta-models: The several cut case Several matrix-ensembles Universality for beta-models Bibliography Index
£45.90
MP-AMM American Mathematical Classification and Identification of Lie Algebras
Book SynopsisServes as a tool for researchers and practitioners who apply Lie algebras and Lie groups to solve problems arising in science and engineering. The authors address the problem of expressing a Lie algebra obtained in some arbitrary basis in a more suitable basis in which all essential features of the Lie algebra are directly visible.Table of Contents Title page Contents Preface Acknowledgments Part 1. General theory Introduction and motivation Basic concepts Invariants of the coadjoint representation of a Lie algebra Part 2. Recognition of a Lie algebra given by its structure constants Identification of Lie algebras through the use of invariants Decomposition into a direct sum Levi decomposition. Identification of the radical and Levi factor The nilradical of a Lie algebra Part 3. Nilpotent, solvable and Levi decomposable Lie algebras Nilpotent Lie algebras Solvable Lie algebras and their nilradicals Solvable Lie algebras with abelian nilradicals Solvable Lie algebras with Heisenberg nilradical Solvable Lie algebras with Borel nilradicals Solvable Lie algebras with filiform and quasifiliform nilradicals Levi decomposable algebras Part 4. Low-dimensional Lie algebras Structure of the lists of low-dimensional Lie algebras Lie algebras up to dimension 3 Four-dimensional Lie algebras Five-dimensional Lie algebras Six-dimensional Lie algebras Bibliography Index
£103.50
MP-AMM American Mathematical Mathematical Theory of Scattering Resonances
Book SynopsisFocuses on the simplest case of scattering by compactly supported potentials, and provides pointers to modern literature where more general cases are studied. The book also presents an approach to the study of resonances on asymptotically hyperbolic manifolds. The last two chapters are devoted to semiclassical methods in the study of resonances.Trade ReviewThis is an up to date account of modern mathematical scattering theory with an emphasis on the deep interplay between the location of the scattering poles or resonances, and the underlying dynamics and geometry. The masterful exposition reflects the authors' significant roles in shaping this very active field. A must read for researchers and students working in scattering theory or related areas." - Peter Sarnak, Institute for Advanced Study"This is a very broad treatise of the modern theory of scattering resonances, beautifully written with a wealth of important mathematical results as well as applications, motivations and numerical and experimental illustrations. For experts, it will be a basic reference and for non-experts and graduate students an appealing and quite accessible introduction to a fascinating field with multiple connections to other branches of mathematics and to physics." - Johannes Sjostrand, Universite de Bourgogne"Resonance is the Queen of the realm of waves. No other book addresses this realm so completely and compellingly, oscillating effortlessly between illustration, example, and rigorous mathematical discourse. Mathematicians will find a wonderful array of physical phenomena given a solid intuitive and mathematical foundation, linked to deep theorems. Physicists and engineers will be inspired to consider new realms and phenomena. Chapters travel between motivation, light mathematics, and deeper mathematics, passing the baton from one to the other and back in a way that these authors are uniquely qualified to do." - Eric J. Heller, Harvard UniversityTable of Contents Introduction Potential scattering: Scattering resonances in dimension one Scattering resonances in odd dimensions Geometric scattering: Black box scattering in $\mathbb{R}^n$ Scattering on hyperbolic manifolds Resonances in the semiclassical limit: Resonance-free regions Resonances and trapping Appendices: Notation Spectral theory Fredholm theory Complex analysis Semiclassical analysis Bibliography Index.
£106.20
MP-AMM American Mathematical Singular Perturbation in the Physical Sciences
Book SynopsisThis book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions, such as matched asymptotic expansions, projections of large dynamical systems onto small centre manifolds, and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory, are included.Trade ReviewIn all, this book is a valuable completion to the literature on singular perturbations. It might be the first reference to read but also a good auxiliary in understanding more specialized books or papers."—Vladimir Răsvan, Zentralblatt MATH"This is a lucid textbook written in an easy style. The book will be useful to researchers and graduate students in various areas of mathematics, mechanics, and physics."—V.A. Sobolev, Mathematical ReviewsTable of Contents What is a singular perturbation? Asymptotic expansions Matched asymptotic expansions Matched asymptotic expansions in PDE Prandtl boundary layer theory Modulated oscillations Modulation theory by transforming variables Nonlinear resonance Bibliography Index
£108.00
MP-AMM American Mathematical Partial Compactification of Monopoles and Metric
Book SynopsisView the abstract.
£68.40
MP-AMM American Mathematical Nonlinear Dispersive Waves and Fluids
Book SynopsisAddresses the latest trends and perspectives in the area of nonlinear dispersive equations and fluid flows. The topics mainly focus on using state-of-the-art methods and techniques to investigate problems of depth and richness arising in quantum mechanics, general relativity, and fluid dynamics.Table of Contents N. Basharat, Y. Hu, and S. Zheng, Blowup rate for mass critical rotational nonlinear Schrodinger equations D. Cao, T. Mengesha, and T. Phan, Gradient estimates for weak solutions of linear elliptic systems with singular-degenerate coefficients R. Denlinger, Virial estimates for hard spheres Y. Du, G. Chen, and J. Liu, The almost global existence to classical solution for a 3-D wave equation of nematic liquid-crystals L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, I: The critical generalized KdV equation L. G. Farah, J. Holmer, and S. Roudenko, Instability of solitons-revisited, II: The supercritical Zakharov-Kuznetsov equation C. Flores, S. Oh, and D. Smith, Stabilization of dispersion-generalized Benjamin-Ono D. Garrisi and V. Georgiev, Uniqueness of standing-waves for a non-linear Schrodinger equation with three pure-power combinations in dimension one S. Gustafson and D. Roxanas, Below-threshold solutions of a focusing energy-critical heat equation in $\mathbb{R}^4$ D. Li and X. Zhang, A regularity upgrade of pressure S. Miao, On large future-global-in-time solutions to energy-supercritical nonlinear wave equation J. Murphy, The nonlinear Schrodinger equation with an inverse-square potential Y. Shao and C. Wang, The harmonic map heat flow on conic manifolds K. Yamazaki, On the global regularity issue of the two-dimensional magnetohydrodynamics system with magnetic diffusion weaker than a Laplacian J. Zhang, S. Zheng, and S. Zhu, Orbital stability of standing waves for fractional Hartree equation with unbounded potentials.
£103.50
MP-AMM American Mathematical Dynamics Near the Subcritical Transition of the
Book SynopsisThe second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re.
£67.50
American Mathematical Society On Pseudoconformal BlowUp Solutions to the
Book SynopsisView the abstract.
£63.90
MP-AMM American Mathematical The YangMills Heat Equation with Finite Action in
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£67.50
MP-AMM American Mathematical Recovery Methodologies Regularization and
Book SynopsisIntroduces the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. By avoiding extreme technicalities and elaborate proof techniques, this is an accessible resource for students and researchers.Table of Contents Introductory remarks: Constituents of the univariate antenna problem Regularization tools: Functional and Fourier analytic auxiliaries Regularization methodologies: Matricial methodologies of resolution Compact operator methodologies of resolution Example realizations light: Univariate differentiation Reconstruction and regularization methods Regularization examples: Regularization methodologies in geotechnology Sampling tools: Lattice point and special function theoretic auxiliaries Sampling methodologies: Sampling over continuously connected pointsets Sampling over discretely given pointsets Polyharmonic finite bandwidth sampling Polyharmonic infinite bandwidth sampling Polymetaharmonic finite bandwidth sampling Polymetaharmonic infinite bandwidth sampling Sampling examples: Sampling methodologies in technology Concluding remarks: Recovery as interconnecting whole List of symbols Bibliography Index
£103.50
MP-AMM American Mathematical Spiral Waves Linear and Nonlinear Theory
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£68.40
Springer Nature Switzerland AG Physics and Finance
Book SynopsisThis book introduces physics students to concepts and methods of finance. Despite being perceived as quite distant from physics, finance shares a number of common methods and ideas, usually related to noise and uncertainties. Juxtaposing the key methods to applications in both physics and finance articulates both differences and common features, this gives students a deeper understanding of the underlying ideas. Moreover, they acquire a number of useful mathematical and computational tools, such as stochastic differential equations, path integrals, Monte-Carlo methods, and basic cryptology. Each chapter ends with a set of carefully designed exercises enabling readers to test their comprehension.Table of ContentsChapter 1 - Introduction Chapter 2 - Concepts of finance Chapter 3 - Portfolio theory and CAPM Chapter 4 - Stochastic processes Chapter 5 - Black-Scholes differential equation Chapter 6 - The Greeks and risk management Chapter 7 - Regression models and hypothesis testing Chapter 8 - Time series Chapter 9 - Bubbles, crashes, fat tails and Levy-stable distributions Chapter 10 - Quantum finance and path integrals Chapter 11 - Optimal control theory.
£999.99
Springer International Publishing AG The Riemann Problem in Continuum Physics
Book SynopsisThis monograph provides a comprehensive study of the Riemann problem for systems of conservation laws arising in continuum physics. It presents the state-of-the-art on the dynamics of compressible fluids and mixtures that undergo phase changes, while remaining accessible to applied mathematicians and engineers interested in shock waves, phase boundary propagation, and nozzle flows. A large selection of nonlinear hyperbolic systems is treated here, including the Saint-Venant, van der Waals, and Baer-Nunziato models. A central theme is the role of the kinetic relation for the selection of under-compressible interfaces in complex fluid flows. This book is recommended to graduate students and researchers who seek new mathematical perspectives on shock waves and phase dynamics. Table of Contents1 Overview of this monograph.- 2 Models arising in fluid and solid dynamics.- 3 Nonlinear hyperbolic systems of balance laws.- 4 Riemann problem for ideal fluids.- 5 Compressible fluids governed by a general equation of state.- 6 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic regime.- 7 Nonclassical Riemann solver with prescribed kinetics. The hyperbolic-elliptic regime.- 8 Compressible fluids in a nozzle with discontinuous cross-section. Isentropic flows.- 9 Compressible fluids in a nozzle with discontinuous cross-section. General flows.- 10 Shallow water flows with discontinuous topography.- 11 Shallow water flows with temperature gradient.- 12 Baer-Nunziato model of two-phase flows.- References.- Index.
£98.99
Springer International Publishing AG First Differential Measurements of tZq Production
Book SynopsisThis thesis describes two groundbreaking measurements in the precision frontier at the LHC: the first ever differential measurement of the Z-associated single top quark (tZq) production, and the luminosity measurement using Z boson production rate for the first time in CMS. Observed only in 2018, the tZq process is of great importance in probing top quark electroweak couplings. These couplings are natural places for new phenomena to happen in the top quark sector of the standard model. Yet, they are the least explored directly. One has to obtain a firm understanding of the modeling of sensitive distributions to new top-Z interactions. The present analysis marks a major milestone in this long-term effort. All distributions relevant for new phenomena, and/or modeling of tZq, are studied in full depth using advanced Machine Learning techniques.The luminosity and its uncertainty contributes to every physics result of the experiment. The method minutely developed in this thesis provides a complementary measurement that results in a significant overall reduction of uncertainties.Table of ContentsIntroduction.- Theoretical Foundations of Single Top Quark Physics at the LHC.- The CMS Experiment at the LHC.- Luminosity Determination Using Z Boson Production.- Measurements of Single Top Quark Production in Association With a Z Boson. Summary and conclusions.
£116.99
Springer International Publishing AG Linear Algebra for Physics
Book SynopsisAlthough the mathematical level is similar to the corresponding mathematical textbooks in regard to definitions, propositions and proofs, it adopts a language and approach more attuned to the reader's familiarity with physics lectures and physics textbooks.
£999.99
de Gruyter Gravitation Und Kosmos
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£134.09
de Gruyter Selbstgesteuerte Schwingungen an Überströmten
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£134.09
Springer International Publishing AG Fundamentals of van der Waals and Casimir
Book SynopsisThis book presents a self-contained derivation of van der Waals and Casimir type dispersion forces, covering the interactions between two atoms but also between microscopic, mesoscopic, and macroscopic objects of various shapes and materials. It also presents detailed and general prescriptions for finding the normal modes and the interactions in layered systems of planar, spherical and cylindrical types, with two-dimensional sheets, such as graphene incorporated in the formalism. A detailed derivation of the van der Waals force and Casimir-Polder force between two polarizable atoms serves as the starting point for the discussion of forces: Dispersion forces, of van der Waals and Casimir type, act on bodies of all size, from atoms up to macroscopic objects. The smaller the object the more these forces dominate and as a result they play a key role in modern nanotechnology through effects such as stiction. They show up in almost all fields of science, including physics, chemistry, biology, medicine, and even cosmology. Written by a condensed matter physicist in the language of condensed matter physics, the book shows readers how to obtain the electromagnetic normal modes, which for metallic systems, is especially useful in the field of plasmonics.Table of ContentsIntroduction.- Part I - Background Material.- Electromagnetic.- Complex Analysis.- Statistical Physics.- Electromagnetic Normal Modes.- Different Approaches.- General Method to find the Normal Modes in Layered Structures.- Part II - Non-retarded Formalism: van der Waals.- Van der Waals Force.- Van der Waals Interaction in Planar Structures.- Van der Waals Interaction in Spherical Structures.- Van der Waals Interaction in Cylindrical Structures.- Part III - Fully Retarded Formalism: Casimir.- Casimir Interaction.- Dispersion Interaction in Planar Structures.- Dispersion Interaction in Spherical Structures.- Dispersion Interaction in Cylindrical Structures.- Summary and Outlook.
£999.99
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Mathematical Analysis I
Book SynopsisThis second edition of a very popular two-volume work presents a thorough first course in analysis, leading from real numbers to such advanced topics as differential forms on manifolds; asymptotic methods; Fourier, Laplace, and Legendre transforms; elliptic functions; and distributions. Especially notable in this course are the clearly expressed orientation toward the natural sciences and the informal exploration of the essence and the roots of the basic concepts and theorems of calculus. Clarity of exposition is matched by a wealth of instructive exercises, problems, and fresh applications to areas seldom touched on in textbooks on real analysis. The main difference between the second and first editions is the addition of a series of appendices to each volume. There are six of them in the first volume and five in the second. The subjects of these appendices are diverse. They are meant to be useful to both students (in mathematics and physics) and teachers, who may be motivated by different goals. Some of the appendices are surveys, both prospective and retrospective. The final survey establishes important conceptual connections between analysis and other parts of mathematics. The first volume constitutes a complete course in one-variable calculus along with the multivariable differential calculus elucidated in an up-to-date, clear manner, with a pleasant geometric and natural sciences flavor.Trade Review“This is a thorough and easy-to-follow text for a beginning course in real analysis … . In coverage the book is slanted towards physics (mostly mechanics), and in particular there is a lot about line and surface integrals. … Will be popular with students because of the detailed explanations and the worked examples.” (Allen Stenger, MAA Reviews, maa.org, May, 2016)Table of Contents1 Some General Mathematical Concepts and Notation: 1.1 Logical Symbolism.- 1.2 Sets and Elementary Operations on them.- 1.3 Functions.- 1.4 Supplementary Material.- 2 The Real Numbers: 2.1 Axioms and Properties of Real Numbers.- 2.2 Classes of Real Numbers and Computations.- 2.3 Basic Lemmas on Completeness.- 2.4 Countable and Uncountable Sets.- 3 Limits: 3.1 The Limit of a Sequence.- 3.2 The Limit of a Function.- 4 Continuous Functions: 4.1 Basic Definitions and Examples.- 4.2 Properties of Continuous Functions.- 5 Differential Calculus: 5.1 Differentiable Functions.- 5.2 The Basic Rules of Differentiation.- 5.3 The Basic Theorems of Differential Calculus.- 5.4 Differential Calculus Used to Study Functions.- 5.5 Complex Numbers and Elementary Functions.- 5.6 Examples of Differential Calculus in Natural Science.- 5.7 Primitives.- 6 Integration: 6.1 Definition of the Integral.- 6.2 Linearity, Additivity and Monotonicity of the Integral.- 6.3 The Integral and the Derivative.- 6.4 Some Applications of Integration.- 6.5 Improper Integrals.- 7 Functions of Several Variables: 7.1 The Space Rm and its Subsets.- 7.2 Limits and Continuity of Functions of Several Variables.- 8 Differential Calculus in Several Variables: 8.1 The Linear Structure on Rm.- 8.2 The Differential of a Function of Several Variables.- 8.3 The Basic Laws of Differentiation.- 8.4 Real-valued Functions of Several Variables.- 8.5 The Implicit Function Theorem.- 8.6 Some Corollaries of the Implicit Function Theorem.- 8.7 Surfaces in Rn and Constrained Extrema.- Some Problems from the Midterm Examinations: 1. Introduction to Analysis (Numbers, Functions, Limits).- 2. One-variable Differential Calculus.- 3. Integration. Introduction to Several Variables.- 4. Differential Calculus of Several Variables.- Examination Topics: 1. First Semester: 1.1. Introduction and One-variable Differential Calculus.- 2. Second Semester: 2.1. Integration. Multivariable Differential Calculus.- Appendices: A Mathematical Analysis (Introductory Lecture).- B Numerical Methods for Solving Equations (An Introduction).- C The Legendre Transform (First Discussion).- D The Euler–Maclaurin Formula.- E Riemann–Stieltjes Integral, Delta Function, and Generalized Functions.- F The Implicit Function Theorem (An Alternative Presentation).- References.- Subject Index.- Name Index.
£999.99
Springer Fachmedien Wiesbaden Erste Schritte in die Theoretische Physik:
Book SynopsisDieses Lehrbuch bietet einen einfachen Zugang zur Theoretischen Physik und realisiert einen durchgängigen Anschluss an die in der Schule erworbenen physikalisch-mathematischen Vorkenntnisse. Aus seiner Erfahrung als Diplomlehrer für Physik und Mathematik heraus ebnet der Autor den Weg in die Theoretische Physik. Er stützt sich dabei auf die folgenden Prinzipien: Viele Abbildungen und detailliert vorgerechnete Beispiele tragen wesentlich zum Verständnis der Darstellungen bei. Verwendete „Rechentricks“ werden angegeben und erläutert. Die erforderliche Mathematik wird schrittweise und ausführlich erarbeitet. Die Struktur des Lehrbuchs orientiert sich an folgenden zentralen Phänomenen und Grundbegriffen: Bewegung, Elektrizität und Magnetismus, Relativität sowie Quanten. In diesem Rahmen werden die üblichen Inhalte der Module Theoretische Mechanik, Elektrodynamik, Relativitätstheorie und Quantenmechanik verortet. Die experimentelle Basis für theoretische Ansätze wird explizit benannt, um die Besonderheiten der naturwissenschaftlichen Methode zu betonen, die sich von Autoritätsgläubigkeit sowie Spekulation deutlich abgrenzt. Auf bestehende Interpretationsprobleme der Quantenmechanik wird ausdrücklich hingewiesen. Begriffe wie „Welle-Teilchen-Dualismus“ oder „Kollaps der Wellenfunktion“ werden vermieden, da sie Missverständnisse provozieren können. Dieses Buch richtet sich an Studierende der Natur- und Ingenieurwissenschaften sowie des Lehramts, zu deren Studieninhalten mindestens ein Modul Theoretische Physik gehört. Es wendet sich auch an alle, die sich für Fragestellungen der Naturwissenschaften oder Naturphilosophie interessieren und über eine positive Einstellung zur Mathematik verfügen.Die vorliegende zweite Auflage wurde um ein Kapitel zum Phänomen Wärme mit Inhalten aus der klassischen und statistischen Thermodynamik erweitert sowie an zahlreichen Stellen ergänzt und verbessert.Table of Contents1. Bewegungen.- 2. Elektrizität und Magnetismus.- 3. Relativität.- 4. Quanten.- 5. Exkursionen in die Mathematik.- Ausblick.
£42.74
Birkhauser Verlag AG Resurgence, Physics and Numbers
Book SynopsisThis book is issued from a conference around resurgent functions in Physics and multiple zetavalues, which was held at the Centro di Ricerca Matematica Ennio de Giorgi in Pisa, on May 18-22, 2015. This meeting originally stemmed from the impressive upsurge of interest for Jean Ecalle's alien calculus in Physics, in the last years – a trend that has considerably developed since then. The volume contains both original research papers and surveys, by leading experts in the field, reflecting the themes that were tackled at this event: Stokes phenomenon and resurgence, in various mathematical and physical contexts but also related constructions in algebraic combinatorics and results concerning numbers, specifically multiple zetavalues. Table of ContentsAsymptotics, ambiguities and resurgence.- Nonlinear eigenvalue problems.- Feynman diagrams and their algebraic lattices.- Invariants of identity-tangent diffeomorphisms expanded as series of multitangents and multizetas.- The resurgent approach to topological string theory.- WKB and resurgence in the Mathieu equation.- Renormalised conical zeta values.- Combinatorics of Poincaré's and Schröder's equations.
£21.84
Springer Verlag, Singapore Entropy, Divergence, and Majorization in
Book SynopsisRich 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. Trade Review“The book has three appendices on quantum divergences and their monotonicity, hypothesis testing and asymptotic equipartition properties. A large number of references are cited at the end of the book. The book presents wealth of theoretical information on quantum information theory. … The book may be used as a reference for the researchers in quantum information theory.” (K. N. Shukla, zbMATH 1505.80001, 2023)Table of Contents1Introduction.- 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.
£999.99
Springer Verlag, Singapore Topological Phases in Condensed Matter Physics
Book SynopsisThe book is mainly designed for post-graduate students to learn modern-day condensed matter physics. While emphasizing an experiment called the ‘Quantum Hall effect’, it introduces the subject of 'Topology' and how the topological invariants are related to the quantization of the Hall plateaus. Thus, the content tries to deliver an account of the topological aspects of materials that have shaped the study of condensed matter physics in recent times. The subject is often quite involved for a student to grasp the fundamentals and relate them to physical phenomena. Further, these topics are mostly left out of the undergraduate curriculum, although they often require a simplistic view of the concepts involved to be presented pedagogically. The book contains examples, worked-out concepts, important derivations, diagrams for illustration, etc. to aid the understanding of the students. The book also emphasizes the experimental discoveries that put the subject in its perspective and elaborate on the applications which are likely to be of interest to scientists and engineers.Table of ContentsSymmetry and Topology.- Topology in One Dimensional (1D) tight binding Models.- Quantum Hall Eect.- Graphene: A Hobby Horse for studying Topology.- Anomalous Quantum Hall and Spin Hall eects in Graphene.- Fractional Quantum Hall Eect: Role of Coulomb Interactions.- Topology Beyond Fermionic Systems.- Appendix.- Postscript.
£58.49
