Mathematical / Computational / Theoretical physics Books
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG New Methods and Results in Non-linear Field Equations: Proceedings of a Conference Held at the University of Bielefeld, Federal Republic of Germany, 7–10 July 1987
Book SynopsisQuantum effects may be modelled by means of stochastic perturbation of non-linear partial differential (field) equations. Contributions to this field of research are collected in this volume. Finite dimensional stochastically perturbed Hamiltonian systems and infinite dimensional white noise analysis are treated. The main part concerns problems encountered in deterministic equations. Papers treat the existence of solutions for given initial data, the existence of non-linear bound states or solitary waves including a thorough discussion of various approaches to stability, and global properties (e.g. time decay properties) for non-linear wave equations. This volume provides a good survey of present-day research in non-linear problems of quantum theory for researchers and graduate students.Table of ContentsSome remarks on stochastically perturbed (Hamiltonian) systems.- Stability of ground states for nonlinear classical field theories.- A note on solutions of two-dimensional semilinear elliptic vector-field equations with strong nonlinearity.- Some remarks on the nonlinear Schrödinger equation in the subcritical case.- The Cauchy problem for the Dirac equation with cubic nonlinearity in three space dimensions.- The Cauchy problem for the non-linear Klein-Cordon equation.- Conformal invariance and time decay for nonlinear wave equations.- Energy forms and white noise analysis.- Principles of solitary wave stability.
£40.49
Springer Fachmedien Wiesbaden Grundkurs Theoretische Physik 5/2:
Book SynopsisDer beliebte Grundkurs Theoretische Physik deckt in sieben Bänden alle für das Bachelor-/Master- oder Diplomstudium maßgeblichen Gebiete ab. Jeder Band vermittelt gut durchdacht das im jeweiligen Semester nötige theoretisch-physikalische Rüstzeug. Zahlreiche Übungsaufgaben mit ausführlichen Lösungen dienen der Vertiefung des Stoffes. Der zweite Teil des fünften Bandes befasst sich mit Anwendungen und mit dem Ausbau der im ersten Teil entwickelten Konzepte der Quantenmechanik.Die vorliegende neue Auflage enthält einige neue Aufgaben, wurde grundlegend überarbeitet und durch einige Zusatzkapitel zur Streutheorie ergänzt. Sie ermöglicht durch die zweifarbige Darstellung einen sehr übersichtlichen und schnellen Zugriff auf den Lehrstoff.Table of ContentsQuantentheorie des Drehimpulses.- Zentralpotential.- Näherungsmethoden.- Mehr-Teilchen-Systeme.- Streutheorie.- Lösungen der Übungsaufgaben.
£47.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Handbook of Mathematics
Book SynopsisThis guide book to mathematics contains in handbook form the fundamental working knowledge of mathematics which is needed as an everyday guide for working scientists and engineers, as well as for students. Easy to understand, and convenient to use, this guide book gives concisely the information necessary to evaluate most problems which occur in concrete applications. In the newer editions emphasis was laid on those fields of mathematics that became more important for the formulation and modeling of technical and natural processes, namely Numerical Mathematics, Probability Theory and Statistics, as well as Information Processing. Besides many enhancements and new paragraphs, new sections on Geometric and Coordinate Transformations, Quaternions and Applications, and Lie Groups and Lie Algebras were added for the sixth edition.Trade Review“Russian scholars Bronshtein and Semendyayev created a math classic over seven decades ago. … This new Springer edition details over 1,500 entries in its table of contents, including new entries for analytical geometry, Lie groups and Lie algebra, nonlinear optimization, and computer algebra systems. … Summing Up: Recommended. All mathematics library collections.” (K. L. Swetland, Choice, Vol. 53 (11), July, 2016)Table of ContentsArithmetics.- Functions.- Geometry.- Linear Algebra.- Algebra and Discrete Mathematics.- Differentiation.- Infinite Series.- Integral Calculus.- Differential Equations.- Calculus of Variations.- Linear Integral Equations.- Functional Analysis.- Vector Analysis and Vector Fields.- Function Theory.- Integral Transformations.- Probability Theory and Mathematical Statistics.- Dynamical Systems and Chaos.- Optimization.- Numerical Analysis.- Computer Algebra Systems-Example Mathematica.
£104.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Mathematical Analysis II
Book SynopsisThis second English 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 English 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. This second volume presents classical analysis in its current form as part of a unified mathematics. It shows how analysis interacts with other modern fields of mathematics such as algebra, differential geometry, differential equations, complex analysis, and functional analysis. This book provides a firm foundation for advanced work in any of these directions.Table of Contents9 Continuous Mappings (General Theory).- 10 Differential Calculus from a General Viewpoint.- 11 Multiple Integrals.- 12 Surfaces and Differential Forms in Rn.- 13 Line and Surface Integrals.- 14 Elements of Vector Analysis and Field Theory.- 15 Integration of Differential Forms on Manifolds.- 16 Uniform Convergence and Basic Operations of Analysis.- 17 Integrals Depending on a Parameter.- 18 Fourier Series and the Fourier Transform.- 19 Asymptotic Expansions.- Topics and Questions for Midterm Examinations.- Examination Topics.- Examination Problems (Series and Integrals Depending on a Parameter).- Intermediate Problems (Integral Calculus of Several Variables).- Appendices: A Series as a Tool (Introductory Lecture).- B Change of Variables in Multiple Integrals.- C Multidimensional Geometry and Functions of a Very Large Number of Variables.- D Operators of Field Theory in Curvilinear Coordinates.- E Modern Formula of Newton–Leibniz.- References.- Index of Basic Notation.- Subject Index.- Name Index.
£71.24
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Supermathematics and its Applications in Statistical Physics: Grassmann Variables and the Method of Supersymmetry
Book SynopsisThis text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.Trade Review“This volume of Lecture Notes in Physics presents in three parts the topics of Grassmann algebra and its applications and the subject of supermathematics, where commuting and anticommuting variables are treated on equal footing, and its applications. … it may be of interest to those already in the field who want to expand their knowledge in both the underlying mathematics and its applications in physics.” (Moorad Alexanian, Mathematical Reviews, January, 2017)“Each chapter contains a set of illustrating problems supplied with answers in the book's end. Thus, this monograph can be used for practical teaching as well.” (Eugene Postnikov, zbMATH 1345.81003, 2016)Table of ContentsPart I Grassmann Variables and Applications.- Part II Supermathematics.- Part III Supersymmetry in Statistical Physics.- Summary and Additional Remarks.- References.- Solutions.- Index.
£47.69
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Basic Algebraic Geometry 2: Schemes and Complex
Book SynopsisShafarevich's Basic Algebraic Geometry has been a classic and universally used introduction to the subject since its first appearance over 40 years ago. As the translator writes in a prefatory note, ``For all [advanced undergraduate and beginning graduate] students, and for the many specialists in other branches of math who need a liberal education in algebraic geometry, Shafarevich’s book is a must.''The second volume is in two parts: Book II is a gentle cultural introduction to scheme theory, with the first aim of putting abstract algebraic varieties on a firm foundation; a second aim is to introduce Hilbert schemes and moduli spaces, that serve as parameter spaces for other geometric constructions. Book III discusses complex manifolds and their relation with algebraic varieties, Kähler geometry and Hodge theory. The final section raises an important problem in uniformising higher dimensional varieties that has been widely studied as the ``Shafarevich conjecture''.The style of Basic Algebraic Geometry 2 and its minimal prerequisites make it to a large extent independent of Basic Algebraic Geometry 1, and accessible to beginning graduate students in mathematics and in theoretical physics.Trade ReviewFrom the book reviews:“I find the book wonderfully put together, and I am sure the reader will learn a lot, either from systematic study or from browsing particular topics. … In each chapter, the theorems, propositions, corollaries, examples, remarks, etc., each have their own independent numbering system, running consecutively throughout the chapter. This makes it a real chore to track any internal reference in the book.” (Robin Hartshorne, SIAM Review, Vol. 56 (4), December, 2014)“This is the English translation of the third edition of the second volume of the author’s classic standard text ‘Basic algebraic geometry’ … . a perfect first introduction to various aspects of both classic and modern algebraic geometry as a whole. … the present second volume may serve as an excellent source for students and non-specialists to get themselves prepared for the study of more advanced books on abstract algebraic geometry, complex algebraic geometry, and moduli theory likewise.” (Werner Kleinert, zbMATH, Vol. 1277, 2014)Table of ContentsPreface.- Book 1. Varieties in Projective Space: Chapter I. Basic Notions.- Chapter II. Local Properties.- Chapter III. Divisors and Differential Forms.- Chapter IV. Intersection Numbers.- Algebraic Appendix.- References.- Index.
£49.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Boundary-Layer Theory
Book SynopsisThis new edition of the near-legendary textbook by Schlichting and revised by Gersten presents a comprehensive overview of boundary-layer theory and its application to all areas of fluid mechanics, with particular emphasis on the flow past bodies (e.g. aircraft aerodynamics). The new edition features an updated reference list and over 100 additional changes throughout the book, reflecting the latest advances on the subject.Trade ReviewFrom the reviews: "We find here a book where the theory is developed with rigours in parallel with a strong physical intuition. Comparison with experiments and simulations are always proposed and carefully analysed. The book contains at the end a very rich and complete bibliography ... I warmly encourage everyone interested in boundary-layer theory to have this book in his bookcase." Physicalia "... I do recommend the book highly, especially for its long historical perspective, including all the diagrams comparing theory and experiment that remind us that engineering is practical ..." SIAM ReviewsTable of ContentsPart I. Fundamentals of Viscous Flows.- 1. Some Features of Viscous Flows.- 2. Fundamentals of Boundary–Layer Theory.- 3. Field Equations for Flows of Newtonian Fluids.- 4. General Properties of the Equations of Motion.- 5. Exact Solutions of the Navier–Stokes Equations.- Part II. Laminar Boundary Layers.- 6 Boundary–Layer Equations in Plane Flow; Plate Boundary Layer.- 7 General Properties and Exact Solutions of the Boundary–Layer Equations for Plane Flows.- 8 Approximate Methods for Solving the Boundary–Layer Equations for Steady Plane Flows.- 9 Thermal Boundary Layers Without Coupling of the Velocity Field to the Temperature Field.- 10 Thermal Boundary Layers with Coupling of the Velocity Field to the Temperature Field.- 11. Boundary–Layer Control (Suction/Blowing).- 12. Axisymmetric and Three–Dimensional Boundary Layers.- 13. Unsteady Boundary Layers.- 14. Extensions to the Prandtl Boundary–Layer Theory.- Part III. Laminar–Turbulent Transition.- 15. Onset of Turbulence (Stability Theory).- Part IV. Turbulent Boundary Layers.- 16. Fundamentals of Turbulent Flows.- 17. Internal Flows.- 18. Turbulent Boundary Layers Without Coupling of the Velocity Field to the Temperature Field.- 19. Turbulent Boundary Layers with Coupling of the Velocity Field to the Temperature Field.- 20. Axisymmetric and Three–Dimensional Turbulent Boundary Layers.- 21. Unsteady Turbulent Boundary Layers.- 22. Turbulent Free Shear Flows.- Part V. Numerical Methods in Boundary–Layer Theory.- 23. Numerical Integration of the Boundary–Layer Equations.
£237.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Mathematical Physics: Classical Mechanics
Book SynopsisAs a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. This book presents the KAM (Kolmogorov-Arnold-Moser) theory and asymptotic completeness in classical scattering. Including a wealth of fascinating examples in physics, it offers not only an excellent selection of basic topics, but also an introduction to a number of current areas of research in the field of classical mechanics. Thanks to the didactic structure and concise appendices, the presentation is self-contained and requires only knowledge of the basic courses in mathematics.The book addresses the needs of graduate and senior undergraduate students in mathematics and physics, and of researchers interested in approaching classical mechanics from a modern point of view.Table of ContentsRemarks on Mathematial Physics.- 1 Introduction.- 2 Dynamical Systems.- 3 Ordinary Differential Equations.- 4 Linear Dynamics.- 5 Classification of Linear Flows.- 6 Hamiltonian Equations and Symplectic Group.- 7 Stability Theory.- 8 Variational Principles.- 9 Ergodic Theory.- 10 Symplectic Geometry.- 11 Motion in a Potential.- 12 Scattering Theory.- 13 Integrable Systems and Symmetries.- 14 Rigid and Non-Rigid Bodies.- 15 Perturbation Theory.- 16 Relativistic Mechanics.- 17 Symplectic Topology.- A Topological Spaces and Manifolds.- B Differential Forms.- C Convexity and Legendre Transform.- D Fixed Point Theorems, and Results about Inverse Images.- E Group Theory.- F Bundles, Connection, Curvature.- G Morse Theory.- H Solutions of the Exercises.- Bibiography.- Index of Proper Names.- Table of Symbols.- Image Credits.- Index.
£85.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Computational Materials Science: From Ab Initio
Book SynopsisThis textbook introduces modern techniques based on computer simulation to study materials science. It starts from first principles calculations enabling to calculate the physical and chemical properties by solving a many-body Schroedinger equation with Coulomb forces. For the exchange-correlation term, the local density approximation is usually applied. After the introduction of the first principles treatment, tight-binding and classical potential methods are briefly introduced to indicate how one can increase the number of atoms in the system. In the second half of the book, Monte Carlo simulation is discussed in detail. Problems and solutions are provided to facilitate understanding. Readers will gain sufficient knowledge to begin theoretical studies in modern materials research. This second edition includes a lot of recent theoretical techniques in materials research. With the computers power now available, it is possible to use these numerical techniques to study various physical and chemical properties of complex materials from first principles. The new edition also covers empirical methods, such as tight-binding and molecular dynamics.Table of ContentsAb-Initio Methods.- Tight-Binding Methods.- Empirical Methods and Coarse-Graining.- Monte Carlo Methods.- Quantum Monte Carlo (QMC) Methods.
£89.99
Springer Fachmedien Wiesbaden Mathematische Methoden der Theoretischen Physik
Book SynopsisDas vorliegende Buch behandelt die wichtigsten mathematischen Themen der Vorlesungen über Theoretische Physik. Es ergänzt damit die mathematischen Grundlagen, die Studierende der Physik im Rahmen der Vorlesungen über Analysis und Lineare Algebra vermittelt bekommen. Der Autor verzichtet dabei zwar vielfach auf ausführliche Beweise, nicht aber auf eine präzise Formulierung der Sachverhalte. Zahlreiche physikalische Beispiele sollen ein gründliches Verständnis der mathematischen Zusammenhänge befördern und deren Bedeutung für unser Naturverständnis erschließen. Eine Sammlung von Aufgaben am Ende des jeweiligen Kapitels bietet den Leserinnen und Lesern Gelegenheit zur Übung. Der Inhalt dieses Teils deckt die gewöhnlichen Differentialgleichungen, Fourieranalysis und koordinatenfreie Differentialrechnung in Vektorräumen ab und begleitet mathematisch so die Theorievorlesungen zur Mechanik und Elektrodynamik. Das Buch bietet dabei nicht nur die notwendigen Grundlagen, sondern auch vertiefende Themen, die über den regulären Kanon hinausgehen oder eine konkrete Anwendung des Behandelten aufzeigen. Für eine effiziente Verwendung sind diese Kapitel klar mit einem Stern gekennzeichnet und können damit beim ersten Lesen übersprungen werden. Somit kann dieses Werk begleitend zu den Vorlesungen eingesetzt werden, aber auch darüber hinaus zur eigenständigen Verfestigung quer über verschiedene Themenbereiche hinweg anleiten. Table of Contents1 Gewöhnliche Differentialgleichungen.- Skalare Gleichungen erster Ordnung. Systeme erster Ordnung. Lineare Systeme erster Ordnung. Lineare Gleichungen n-ter Ordnung. Harmonisch angeregte lineare Schwingung. Übungsbeispiele.- 2 Fourieranalysis.- Fourierreihen. Die Fouriertransformation. Übungsbeispiele.- 3 Vektoranalysis.- Differenzieren von Skalarfeldern. Differenzieren von Vektorfeldern. Krummlinige Koordinatensysteme. Kartenfreie Mechanik in Galileis Raumzeit. Übungsbeispiele.
£31.34
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.
£44.99
Springer Fachmedien Wiesbaden Übungsbuch Physik für Studierende der
Book SynopsisDieses Übungsbuch enthält zahlreiche Aufgaben zum Inhalt einer Einführungsvorlesung Physik. Mithilfe von ausführlichen Lösungen und Erklärungen lernen und üben Studierende die Anwendung physikalischer Rechenmethoden und die hierfür erforderliche Mathematik. Vor allem in Kombination mit dem Lehrbuch Physik für Studierende der Biowissenschaften, Chemie und Medizin bildet es eine ideale Basis für die Klausurvorbereitung und weiterführende Vorlesungen.Der erste Teil des Buches bietet Übungsserien mit Aufgaben, die entsprechend dem Inhalt typischer Physikvorlesungen strukturiert sind und dabei Themen von der klassischen Mechanik bis hin zur Atom- und Quantenphysik abdecken. Jede Übungsserie besteht aus einem Verständnisteil und einem Übungsteil, der durch anwendungsorientierte Aufgaben aus Biowissenschaften, Chemie und Medizin ergänzt wird.Das Gelernte kann dann anhand des zweiten Teils überprüft werden, der aus verschiedenen Testserien besteht: Hier sind gemischte Aufgaben aus den jeweiligen Inhalten der zwei Semester enthalten, wie sie auch in Physikklausuren zu finden sind.Table of ContentsMathematische Grundlagen.- Klassische Mechanik.- Zustandsformen der Materie.- Thermodynamik.- Schwingungen.- Wellen.- Optik.- Klassische Elektrodynamik.- Atom- und Quantenphysik.- Testserien Physik I.- Testserien Physik II.
£28.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Basic Concepts in Physics: From the Cosmos to
Book SynopsisThis book is the second edition of an excellent undergraduate-level overview of classical and modern physics, intended for students of physics and related subjects, and also perfectly suited for the education of physics teachers. The twelve-chapter book begins with Newton’s laws of motion and subsequently covers topics such as thermodynamics and statistical physics, electrodynamics, special and general relativity, quantum mechanics and cosmology , the standard model and quantum chromodynamics. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with standard mathematics.An important addition in this second edition is a set of exercises and problems, distributed throughout the book. Some of the problems aim to complement the text, others to provide readers with additional useful tools for tackling new or more advanced topics. Furthermore, new topics have been added in several chapters; for example, the discovery of extra-solar planets from the wobble of their mother stars, a discussion of the Landauer principle relating information erasure to an increase of entropy, quantum logic, first order quantum corrections to the ideal gas equation of state due to the Fermi-Dirac and Bose-Einstein statistics. Both gravitational lensing and the time-correction in geo-positioning satellites are explained as theoretical applications of special and general relativity. The discovery of gravitational waves, one of the most important achievements of physical sciences, is presented as well. Professional scientists, teachers, and researchers will also want to have this book on their bookshelves, as it provides an excellent refresher on a wide range of topics and serves as an ideal starting point for expanding one’s knowledge of new or unfamiliar fields. Readers of this book will not only learn much about physics, they will also learn to love it.Trade ReviewFrom the reviews of the first edition:Selected by Choice magazine as an "Outstanding Academic Title" for 2014“This is a very high-quality presentation. The writing is lucid, and the theoretical discussions are easy to follow for anyone comfortable with the mathematics. … the work is a valuable addition to college libraries. Professionals and researchers will also want it on their bookshelves; it provides an excellent refresher on a wide range of topics and can serve as a good starting point for expanding knowledge of new or unfamiliar subjects. Summing Up: Highly recommended. Lower-division undergraduates and above.” (A. Spero, Choice, Vol. 51 (9), May, 2014)“It describes all the major developments and theories regarding the description of the universe we live on, from the very small to the very large. … I highly recommend this book to any physicist. It will not only be a fun and an easy read but also a useful revision of all the main concepts in physics. Undergraduate and graduate physics students definitely should read it. … appropriate for scientists in other fields who have a genuine interest for physics.” (Monica Pierri-Galvao, Contemporary Physics, April, 2014)Table of ContentsGravitation and Newton Laws.- Entropy, Statistical Physics and Information.- Electromagnetism and Maxwell's Equations.- Electromagnetic Waves.- Special Theory of Relativity.- Atoms and Quantum Theory.- Quantum Electrodynamics.- Fermi-Dirac and Bose-Einstein Statistics.- Four Fundamental Forces.- General Relativity and Cosmology.- Unification of the Forces of Nature.- Physics and Life.
£44.99
Springer Fachmedien Wiesbaden Experimentalphysik 1: Mechanik und Wärme
Book Synopsis Das vorliegende Lehrbuch zur Mechanik und Wärmelehre richtet sich an Studierende der Physik im ersten Semester. Die Vorlesungsinhalte werden hier anschaulich, übersichtlich und leicht verständlich in zwölf Kapiteln dargestellt: Das Buch beginnt mit der Mechanik des Massenpunktes, Bezugssystemen und spezielle Relativitätstheorie. Es werden Systeme von Massenpunkten und die Dynamik starrer ausgedehnter Körper behandelt. Anschließend wird das Verhalten von festen und flüssigen realen Körpern und Gasen diskutiert. Strömende Flüssigkeiten und Gase, Auftrieb und die Physik des Fliegens werden im nächsten Kapitel besprochen. Nach der Vakuum-Physik wird die Wärmelehre eingeführt. Das Buch endet mit mechanischen Schwingungen und Wellen, nichtlinearer Dynamik und Chaos. Für das Verständnis notwendige Teilaspekte der Mathematik werden im Anhang aufgeführt. Ganz im Stil der bekannten Reihe zur Experimentalphysik von Professor Demtröder wird auch die Mechanik und Wärmelehre möglichst quantitativ präsentiert. Wichtige Formeln und Merksätze sind hervorgehoben und der Lernstoff direkt anhand von Beispielen verständlich gemacht. Über 160 Übungsaufgaben werden ausführlich gelöst und Zusammenfassungen unterstützen Studierende beim strukturierten Lernen. In der neunten Auflage des beliebten Lehrbuches erwartet Leserinnen und Leser jetzt zusätzlich: o Wichtige und grundlegende Aufgaben werden in Videos klar und verständlich besprochen und ausführlich an der Tafel gelöst. o Kurze Fragen am Anfang der Kapitel stimmen auf das jeweilige Themengebiet ein und machen neugierig, beispielsweise: Woher wissen wir, dass die Lichtgeschwindigkeit konstant und unabhängig von der Bewegung des Beobachters ist? Was ist ein Trägheitsmoment eines Körpers und wie unterscheidet es sich von der Masse des Körpers? Wovon hängt es ab, ob Materie fest, flüssig oder gasförmig ist? Wie kommt eine Seifenblase zustande? o Ein neues Layout präsentiert den Inhalt noch übersichtlicher. o Ausgesuchte Abbildungen stehen als Vorlesungsfolien für Dozentinnen und Dozenten zur Verfügung. Der Autor Wolfgang Demtröder studierte an den -Universitäten in Münster, Tübingen und Bonn die Fächer Physik, Mathematik und Musikwissenschaft. Dort promovierte er bei dem späteren Nobelpreisträger Prof. Wolfgang Paul. Er arbeitete an der Universität Freiburg als wissenschaftlicher Mitarbeiter, wo er auch habilitiert wurde und forschte als Visiting Fellow am Joint Institute for Astrophysics in Boulder, Colorado und erhielt 1970 einen Ruf als ordentlicher Professor an die Universität Kaiserslautern. Er forschte unter anderem auf dem Gebiet der hochauflösenden Laserspektroskopie kleiner Moleküle. Bekannt ist der Autor vor allem für sein Standardwerk über Laserspektroskopie und seine beliebte und bekannte Lehrbuchreihe Experimentalphysik I-IV.Table of ContentsEinführung und Überblick.- Mechanik eines Massenpunktes.- Bewegte Bezugssysteme und spezielle Relativitätstheorie.- Systeme von Massenpunkten. Stöße.- Dynamik starrer ausgedehnter Körper.- Reale feste und flüssige Körper.- Gase.- Strömende Flüssigkeiten und Gase.- Vakuum-Physik.- Wärmelehre.- Mechanische Schwingungen und Wellen.- Nichtlineare Dynamik und Chaos.- Anhang.- Lösungen der Übungsaufgaben.
£37.99
Springer Fachmedien Wiesbaden Spezielle und allgemeine Relativitätstheorie: Grundlagen, Anwendungen in Astrophysik und Kosmologie sowie relativistische Visualisierung
Book SynopsisDieses Lehrbuch verknüpft die mathematischen Grundlagen der speziellen und allgemeinen Relativitätstheorie mit zahlreichen Anwendungsgebieten aus Physik und Astronomie. Neben der Diskussion von klassischen Experimenten, welche die Vorhersagen der Relativitätstheorie bestätigen, wird ein Fokus auf die Kosmologie als Anwendung der Relativitätstheorie gesetzt. Die Behandlung der Physik kompakter stellarer Objekte, d. h. von weißen Zwergen, Neutronensternen und Schwarzen Löchern, mit einem kurzen Abschnitt zur Entstehung und Entwicklung von Sternen runden die Darstellung ab.Einen besonderen Schwerpunkt legen die Autoren auf die relativistische Visualisierung. In zwei Kapiteln bekommt der Leser einen Überblick über verschiedene Techniken in der speziellen und allgemeinen Relativitätstheorie. Anhand von Beispielen können die der Alltagserfahrung scheinbar widersprechenden Vorhersagen der Relativitätstheorie besser fassbar gemacht werden. Die daraus gewonnenen Abbildungen und begleitenden Videos, die über die SN More Media App zugänglich sind, erweitern das Verständnis der im Text behandelten Themen.In der vorliegenden zweiten Auflage haben die Autoren vor allem neuere Entwicklungen (z.B. zum Thema Gravitationswellen) aufgenommen und zudem viele kleinere Verbesserungen und Ergänzungen vorgenommen. Das Buch richtet sich besonders an Studierende der Physik und verwandter Studiengänge, die sich einen Überblick über die Relativitätstheorie und ihre Anwendungsgebiete verschaffen möchten, aber auch interessierte Laien können damit interessante Einsichten gewinnen.Table of ContentsEinführung.- SPEZIELLE RELATIVITÄTSTHEORIE.- Der Weg zur speziellen Relativitätstheorie.- Die Lorentz-Transformation.- Physikalische Folgen der Lorentz-Invarianz.- Mathematischer Formalismus der SRT.- Relativistische Mechanik.- Kovariante Formulierung der Elektrodynamik.- Visuelle Effekte bei hohen Geschwindigkeiten.- Visualisierung in der SRT.- ALLGEMEINE RELATIVITÄTSTHEORIE.- Das Äquivalenzprinzip als Basis der ART.- Riemann’sche Geometrie.- Die Einstein’schen Feldgleichungen.- Die Schwarzschild-Metrik.- Die Kerr-Metrik.- Gravitationswellen.- Visualisierung in der ART.- STERNENTWICKLUNG.- Sternentstehung.- Innere Struktur von Sternen.- Energieproduktion in Sternen.- Weiße Zwerge.- Neutronensterne.- Klassifizierung von Sternen.- KOSMOLOGIE.- Hinführung zur Kosmologie.- Modellannahmen zur Struktur des Universums.- Die Feldgleichungen für die FLRW-Metrik.- Allgemeine Energieformen.- Überlegungen zur kosmologischen Beobachtung.- SN Ia als Standardkerzen für das junge Universum.- Die Kosmische Mikrowellenhintergrundstrahlung.- Die ersten Momente.- ANHANG.- Wichtige Zahlenwerte und Konstanten.
£36.09
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Supergravity: From First Principles to Modern Applications
Book SynopsisThis book is about supergravity, which combines the principles of general relativity and local gauge invariance with the idea of supersymmetries between bosonic and fermionic degrees of freedom. The authors give a thorough and pedagogical introduction to the subject suitable for beginning graduate or advanced undergraduate students in theoretical high energy physics or mathematical physics. Interested researchers working in these or related areas are also addressed. The level of the presentation assumes a working knowledge of general relativity and basic notions of differential geometry as well as some familiarity with global supersymmetry in relativistic field theories. Bypassing curved superspace and other more technical approaches, the book starts from the simple idea of supersymmetry as a local gauge symmetry and derives the mathematical and physical properties of supergravity in a direct and “minimalistic” way, using a combination of explicit computations and geometrical reasoning. Key topics include spinors in curved spacetime, pure supergravity with and without a cosmological constant, matter couplings in global and local supersymmetry, phenomenological and cosmological implications, extended supergravity, gauged supergravity and supergravity in higher spacetime dimensions.Table of ContentsIntroduction.- From Global to Local SUSY.- Gravity and spinors.- D=4 N=1 SUGRA.- Matter couplings in global SUSY.- Matter couplings in SUGRA.- SUGRA phenomenology.- Extended supergravities.- Gauged supergravity.- SUGRA in any dimension.
£52.24
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
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG An Introduction to Non-Abelian Discrete Symmetries for Particle Physicists
Book SynopsisThis lecture note provides a tutorial review of non-Abelian discrete groups and presents applications to particle physics where discrete symmetries constitute an important principle for model building. While Abelian discrete symmetries are often imposed in order to control couplings for particle physics—particularly model building beyond the standard model—non-Abelian discrete symmetries have been applied particularly to understand the three-generation flavor structure. The non-Abelian discrete symmetries are indeed considered to be the most attractive choice for a flavor sector: Model builders have tried to derive experimental values of quark and lepton masses, mixing angles and CP phases on the assumption of non-Abelian discrete flavor symmetries of quarks and leptons, yet lepton mixing has already been intensively discussed in this context as well. Possible origins of the non-Abelian discrete symmetry for flavors are another topic of interest, as they can arise from an underlying theory, e.g., the string theory or compactification via orbifolding as geometrical symmetries such as modular symmetries, thereby providing a possible bridge between the underlying theory and corresponding low-energy sector of particle physics. The book offers explicit introduction to the group theoretical aspects of many concrete groups, and readers learn how to derive conjugacy classes, characters, representations, tensor products, and automorphisms for these groups (with a finite number) when algebraic relations are given, thereby enabling readers to apply this to other groups of interest. Further, CP symmetry and modular symmetry are also presented.Table of ContentsIntroduction.- Basics of Finite Groups.- SN.- AN.- 5 T ′.- DN.- QN.- QD2N.- Σ(2N ).- Δ (3N2).- TN.- Σ(3N3).- Δ(6N2).- Subgroups and Decompositions of Multiplets.- Anomalies.- Non-Abelian Discrete Symmetry in Quark/Lepton Flavor Models.- Modular Group.- CP Symmetry.- Appendices.
£58.49
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Quantum Collision Theory of Nonrelativistic Particles: An Introduction
Book SynopsisThis book introduces the scattering theory of nonrelativistic systems, a standard tool for interpreting collision experiments with quantum particles at energies not too high. The goal is to explore the interaction between particles and their properties. The authors cover the basics of the theory through a detailed discussion of elastic scattering using the stationary Schrödinger equation and the Lippmann-Schwinger equation. These remarks are supplemented by a consideration of the time-dependent formulation of scattering theory. Selection rules for effective cross sections due to symmetries conditioned by the structure of the interparticle forces and the scattering of spin-polarized particles are discussed. The foundations for the treatment of inelastic processes are laid and explained by application to three-body and nucleotransfer processes.In all chapters, the more technical, mathematical aspect and the more physics-oriented explanations are separated as far as possible. The explanations are well comprehensible and suitable to introduce the reader to the physics of impact processes.This book is a translation of the original German 1st edition Streutheorie in der nichtrelativistischen Quantenmechanik by Reiner M. Dreizler, Tom Kirchner & Cora S. Lüdde, published by Springer-Verlag GmbH Germany, part of Springer Nature in 2018. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). The present version has been revised extensively with respect to technical and linguistic aspects by the authors. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.Table of Contents1 Elastic scattering: stationary formulation - differential equations.- 2 Elastic scattering: stationary formulation - integral equations.- 3 Elastic scattering: time-dependent formulation.- 4 Conservation laws in scattering theory.- 5 Elastic scattering: the analytical structure of the S-matrix.- 6 Elastic scattering with spin-polarized particles.- 7 Remarks on multichannel problems.- Bibliography.
£58.49
Springer Fachmedien Wiesbaden Einführung in die Mathematik der Theoretischen
Book SynopsisDieses Lehrbuch stellt die mathematischen Methoden der Theoretischen Physik detailliert und anschaulich dar. Das Hauptaugenmerk liegt dabei auf der verständlichen Herleitung und der Anwendbarkeit auf physikalische Probleme. Mathematische Herleitungen und Rechenkniffe werden Studierenden dabei in vielen Zwischenschritten zugänglich gemacht. Das Lehrbuch richtet sich primär an Studierende der ersten Semester, ist aber durch das gesamte Grundstudium hindurch und darüber hinaus als Referenz- und Nachschlagewerk geeignet. Darüber hinaus sind viele Beispiele für fortgeschrittene Studierende, wie der Formalismus der Allgemeinen Relativitätstheorie oder Lie-Algebren eingearbeitet. Am Ende jedes Kapitels befinden sich Formelsammlungen, die die Themen zusammenfassen und so einen kompakten Überblick über die einzelnen Zusammenhänge liefern.Table of ContentsEinführung und Wiederholung. - Erste neue und grundlegende Konzepte. - Der allgemeine Vektorbegriff im mathematischen Sinne. - Reihenentwicklungen. - Komplexe Integrale. - Fourier-Transformationen. - Matrizen. - 8Vektoranalysis. - Differentiale von Funktionen. - Variationsrechnung. - Vektoren und Tensoren im physikalischen Sinne. - Wichtige Funktionen.
£36.09
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Solid State Theory, Volume 1: Basics: Phonons and
Book SynopsisThe textbooks “Solid State Theory" give an introduction to the methods, contents and results of modern solid state physics in two volumes. This first volume has the basic courses in theoretical physics as prerequisites, i.e. knowledge of classical mechanics, electrodynamics and, in particular, quantum mechanics and statistical physics is assumed. The formalism of second quantization (occupation number representation), which is needed for the treatment of many-body effects, is introduced and used in the book. The content of the first volume deals with the classical areas of solid state physics (phonons and electrons in the periodic potential, Bloch theorem, Hartree-Fock approximation, density functional theory, electron-phonon interaction). The first volume is already suitable for Bachelor students who want to go beyond the basic courses in theoretical physics and get already familiar with an application area of theoretical physics, e.g. for an elective subject "Theoretical (Solid State) Physics" or as a basis for a Bachelor thesis. Every solid-state physicist working experimentally should also be familiar with the theoretical methods covered in the first volume. The content of the first volume can therefore also be the basis for a module "Solid State Physics" in the Master program in Physics or, together with the content of the 2nd volume, for a module "Theoretical Solid State Physics" or "Advanced Theoretical Physics". The following second volume covers application areas such as superconductivity and magnetism to areas that are current research topics (e.g. quantum Hall effect, high-temperature superconductivity, low-dimensional structures).Table of Contents
£52.24
Springer Fachmedien Wiesbaden Symmetrien in der Physik: Gruppen- und
Book SynopsisDas vorliegende Buch führt durch die Symmetrien in der Physik: Es werden wichtige Gruppen und Symmetrien aus der Molekülphysik, der Festkörperphysik und (Quanten-)Feldtheorie vorgestellt und behandelt. Das Buch richtet sich an Studierende der Physik, die entweder die Vorlesung zur Gruppen- und Darstellungstheorie hören oder sich im Rahmen einer Bachelor-, Master- oder Doktorarbeit in Gruppentheorie und Symmetrien in der Physik einlesen möchten. Behandelt werden u.a. endliche und kontinuierliche Gruppen sowie Lie-Algebren und deren Darstellungen, aber auch klassische und quantisierte Feldtheorien, Eichtheorien und konforme Feldtheorien. Der Autor verbindet in den Kapiteln die mathematischen Grundlagen mit der physikalischen Anwendung. Beispiele, Aufgaben und Zwischenfragen helfen Leserinnen und Lesern dabei, ihr Verständnis zu überprüfen..Table of ContentsInhaltsverzeichnisVorwortAbkürzungen1 Einführung2 Elemente der Gruppentheorie3 Homomorphismen, Untergruppen und Klassen4 Endliche Gruppen5 Raumzeit-Symmetrien6 Punktgruppen7 Raumgruppen und Kristalle8 Lie-Gruppen9 Invariante Integration10 Darstellungen von Gruppen11 Charaktere und Lemma von Schur 12 Irreduzible Darstellungen von Lie-Gruppen13 Theorie der Lie-Algebren14 Lie-Algebren von Lie-Gruppen15 Wurzelsysteme und Cartan-Klassifikation16 Darstellungen von Lie-Algebren16.1 Gewichte einer Darstellung17 Symmetrien in der Quantenmechanik18 Symmetrien in der relativistischen QM19 Relativistische Feldtheorien20 Eichtheorien21 Konforme FeldtheorienIndex
£29.99
Springer Fachmedien Wiesbaden Physik mit Python: Simulationen, Visualisierungen
Book SynopsisDieses Lehrbuch führt Sie anhand von physikalischen Fragestellungen aus der Mechanik in die Programmiersprache Python ein. Neben der reinen Simulation von physikalischen Systemen wird besonderes Augenmerk auf die Visualisierung von Ergebnissen und das Erstellen von Animationen gelegt. Mit zahlreichen Beispielen und Übungsaufgaben ermöglicht dieses Buch so den praktischen Einstieg in das wissenschaftliche Rechnen. Sie lernen Kurvenanpassungen durchzuführen sowie lineare und nicht-lineare Gleichungssysteme zu lösen, die bei der Behandlung von statischen Problemen auftreten. Auch die Lösung von Differentialgleichungen, die dynamische Systeme beschreiben, sowie Themen wie Fourier-Transformationen und Eigenwertprobleme kommen nicht zu kurz. Mithilfe der in diesem Buch vorgestellten Simulationsbeispiele vertiefen Sie darüber hinaus Ihr Verständnis der zugrundeliegenden Physik, indem Sie die physikalischen Gesetze algorithmisch umsetzen und physikalische Aufgaben simulieren, die weitaus komplexer sind als die üblichen mit Papier und Bleistift lösbaren Aufgaben. Alle im Buch vorgestellten Programme, die fertigen Animationen sowie die Lösungen zu den Übungsaufgaben werden online bereitgestellt.Die vorliegende zweite Auflage enthält zahlreiche Ergänzungen, Korrekturen und Anpassungen an die aktuellen Versionen von Python, NumPy, SciPy und Matplotlib. Darüber hinaus erwartet Sie ein zusätzliches Kapitel über objektorientierte Programmiermethoden. Ob Sie also Physik oder eine Ingenieurwissenschaft mit hohem physikalischem Anteil studieren, oder ob Sie unterrichten und Ihre Lehre durch Simulationen und Animationen anreichern möchten – dieses Buch ist dabei Ihr optimaler Begleiter!Table of ContentsEinleitung.- Einführung in Python.- NumPy und Matplotlib.- Physikalische Größen und Messungen.- Kinematik des Massenpunkts.- Statik von Massenpunkten.- Dynamik des Massenpunkts.- Mehrteilchensysteme und Erhaltungssätze.- Zwangsbedingungen.- Schwingungen.- Wellen.- Grafische Benutzeroberflächen.- Objektorientierte Simulationen.- Ausblick.
£26.59
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Solid State Theory, Volume 2: Applications:
Book SynopsisThe present volume 2 covers advanced topics in theoretical solid state physics and thus ties in directly with the fundamentals. Solids in external fields or more generally in non-equilibrium and deviations from the ideal 3-dimensional crystal structure (surfaces, impurities, low-dimensional structures, quantum dots, etc.) are treated. The consideration of collective phenomena such as superconductivity and magnetism complete the presentation. The reader is assumed to have the contents of Volume 1 (electrons and phonons in ideal crystals, Bloch theorem, population number representation or 2nd quantization, electron-electron and electron-phonon interaction) as well as the basic knowledge of general theoretical physics (mechanics, electrodynamics, quantum mechanics, and statistical physics) usually available after a bachelor's degree in physics. Volume 2 is thus ideally suited for students in the master's program in physics who wish to specialize in (experimental or theoretical) solid-state physics. Addressing current topics (e.g., Kondo effect, fractional quantum Hall effect, 2-dimensional crystals such as graphene, giant magnetoresistance effect, and others) provides an optimal transition to modern research.The new edition has been completely revised, expanded with numerous exercises and existing redesigned, with the associated solutions now included in the book.Table of ContentsElectronic transport in solids.- Optical (or dielectric) properties of solids.- Deviations from the ideal, three-dimensional crystal structure.- Solids in the external magnetic field.- Superconductivity.- Collective magnetism.- Solutions to the exercise problems.
£47.49
Springer Fachmedien Wiesbaden Einführung in die Theoretische Physik: Klassische
Book SynopsisDieses Lehrbuch bietet Studierenden der ersten Semester eine Einführung in die Theoretische Physik sowie die dazu erforderlichen mathematischen Werkzeuge. Parallel zu den Inhalten der Klassischen Mechanik lernen Sie die nötige Mathematik gleich mit – und auch die Denkweise in der Theoretischen Physik kennen. Unter sorgfältiger Berücksichtigung des Wissensstands von Studienanfängern wird eine ausführliche, schrittweise Darstellung von allen Herleitungen und Beispielen geboten. Dabei werden Ihnen nicht nur die analytischen Lösungsverfahren gezeigt, sondern Sie erhalten auch einen Einblick in die große Bedeutung von computergestützten, numerischen Verfahren. Das Buch beginnt mit den Leitbegriffen des Zustands und der Bewegungsgleichung, worauf aufbauend die Struktur der Newton‘schen Mechanik in leicht nachvollziehbarer Art und Weise vermittelt wird. Als dazugehörige mathematische Themen werden komplexe Zahlen, Vektoren und Matrizen, Taylor-Reihen, gewöhnliche Differenzialgleichungen, Fourier-Reihen, partielle Ableitungen und Elemente der Vektoranalysis behandelt. Ebenso finden Sie in diesem Buch eine Untersuchung elementarer Erhaltungssätze als auch deren Anwendung auf physikalische Fragestellungen wie z.B. die Begründung der Kepler‘schen Gesetze.Table of ContentsVorwort.- 1 Grundkonzepte.- 2 Beschreibung der Bewegung von Massenpunkten.- 3 Dynamische Gesetze für einen Massenpunkt.- 4 Gewöhnliche Differenzialgleichungen.- 5 Fourier-Reihen.- 6 Nichtlineare Dynamik.- 7 Systeme mit mehr als einem Teilchen.- 8 Partielle Ableitungen.- 9 Energie.- 10 Zweiteilchenproblem mit Gravitationskraft.- 11 Drehbewegungen.- 12 Spezielle Relativitätstheorie - 13 Anhänge: A Computerprogramm zu Kap. 1.- B Computerprogramm zu Kap. 6.- Index.
£26.59
Springer Fachmedien Wiesbaden Prüfungstraining Theoretische Physik – Klassische
Book SynopsisDieses Lehrbuch bietet mit 60 Übungsaufgaben in der Form von 15 Klausuren eine ideale Vorbereitungsmöglichkeit auf die Klausur der Klassischen Mechanik und fokussiert sich dabei vor allem auf Aufgaben der Theoretischen Physik. Mit Lösungshinweisen und ausführlichen Lösungswegen bietet es eine Unterstützung zum Verständnis und zur Anwendung des Vorlesungsstoffs auf neue Probleme. Daneben werden auch weiterführende Informationen bereitgestellt, um die klassische Mechanik als einen Einstieg in die faszinierende Welt der Physik begreiflich zu machen. So wird, neben typischen Aufgaben wie der Bestimmung der Planetenbahnen aus dem Gravitationsgesetz und diversen Aufgaben zur Bewegung des harmonischen Oszillators, auch spannenden Fragestellungen wie der nach der Bewegung eines fallenden Treppenläufers (Slinky) oder der nach den g-Kräften, die in einem Achterbahn-Looping wirken, nachgegangen. Darüber hinaus gibt es auch einige Aufgaben, die mit den Mitteln der klassischen Mechanik einen Einblick in moderne Forschungsfelder, wie beispielsweise der Astrophysik und der Kosmologie bieten.Table of Contents
£36.09
Springer Spektrum Prüfungstraining Theoretische Physik Analytische Mechanik
Book SynopsisVorwort.- Vorbemerkungen.- Klausuren zur Theoretischen Physik Analytische Mechanik.- Hinweise und Lösungen zu den Klausuren der Theoretischen Physik Analytische Mechanik.- Index.
£35.99
Springer Spektrum Numerische Physik mit Python
Book Synopsis1. Erste Schritte mit Python und Jupyter-Notebooks.- 2. Mechanik von Punktmassen.- 3. Elektrodynamik und Optik.- 4. Statistische Physik.- 5. Quantenmechanik.- 6, Praktische Aspekte von Python.
£26.59
Springer Spektrum Hermann Weyl
Book Synopsis
£53.99
Springer Spektrum Mathematik trainieren Brüche Funktionen und Co.
Book Synopsis
£26.59
Birkhauser Verlag AG The Mathematics of the Bose Gas and its Condensation
Book SynopsisThis book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.Trade Review"The presentation provides significant insight into a large part of the current issues of interest in the physics of Bose systems and especially into the "kitchen" of several relevant mathematical techniques. As such, it is highly recommended to both advanced researchers and students preparing to work in this field." (Mathematical Reviews)Table of ContentsThe Dilute Bose Gas in 3D.- The Dilute Bose Gas in 2D.- Generalized Poincaré Inequalities.- Bose-Einstein Condensation and Superfluidity for Homogeneous Gases.- Gross-Pitaevskii Equation for Trapped Bosons.- Bose-Einstein Condensation and Superfluidity for Dilute Trapped Gases.- One-Dimensional Behavior of Dilute Bose Gases in Traps.- Two-Dimensional Behavior in Disc-Shaped Traps.- The Charged Bose Gas, the One- and Two-Component Cases.- Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.
£35.99
Birkhauser Verlag AG Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics
Book Synopsis"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century." --Bulletin of Symbolic Logic (Review of first edition)Trade ReviewFrom the book reviews:“The book is a thorough, deep, fascinating work. It is not only recommended, it is compulsory for anyone interested in the history of mathematical ideas.” (László I. Szabó, Acta Scientiarum Mathematicarum (Szeged), Vol. 75 (1-2), 2009)Table of ContentsThe Emergence of Sets within Mathematics.- Institutional and Intellectual Contexts in German Mathematics, 1800–1870.- A New Fundamental Notion: Riemann’s Manifolds.- Dedekind and the Set-theoretical Approach to Algebra.- The Real Number System.- Origins of the Theory of Point-Sets.- Entering the Labyrinth-Toward Abstract Set Theory.- The Notion of Cardinality and the Continuum Hypothesis.- Sets and Maps as a Foundation for Mathematics.- The Transfinite Ordinals and Cantor’s Mature Theory.- In Search of an Axiom System.- Diffusion, Crisis, and Bifurcation: 1890 to 1914.- Logic and Type Theory in the Interwar Period.- Consolidation of Axiomatic Set Theory.
£64.59
Birkhauser Verlag AG The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers
Book SynopsisThis book arose out of original research on the extension of well-established applications of complex numbers related to Euclidean geometry and to the space-time symmetry of two-dimensional Special Relativity. The system of hyperbolic numbers is extensively studied, and a plain exposition of space-time geometry and trigonometry is given. Commutative hypercomplex systems with four unities are studied and attention is drawn to their interesting properties.Trade ReviewFrom the reviews: “It is worth pointing out that the book is mainly a text about commutative hypercomplex numbers and some of their applications to a 2-dimensional Minkowski spacetime. … This book should be interesting to anybody who is interested in applications of hypercomplex numbers … . In conclusion, I recommend this book to anyone who wants to learn about hypercomplex numbers.” (Emanuel Gallo, Mathematical Reviews, Issue 2010 d)Table of ContentsThe Mathematics of Minkowski Space-Time: 1 N-Dimensional Hypercomplex Numbers and the associated Geometries.- Commutative Hypercomplex Number Systems.- The General Two-Dimensional System.- Linear Transformations and Geometries.- The Geometries Associated with Hypercomplex Numbers.- Conclusions.- 2 Trigonometry in the Minkowski Plane.- Geometrical Representation of Hyperbolic Numbers.- Basics of Hyperbolic Trigonometry.- Geometry in Pseudo-Euclidean Cartesian Plane.- Trigonometry in the Pseudo-Euclidean Plane.- Theorems on Equilateral Hyperbolas in the Pseudo-Euclidean Plane.- Some Examples of Triangle Solutions in the Minkowski Plane.- Conclusions.- 3 Uniform and Accelerated Motions in the Minkowski Space-Time (Twin Paradox).- Inertial Motions.- Inertial and Uniformly Accelerated Motions.- Non-uniformly Accelerated Motions.- Conclusions.- 4 General Two-Dimensional Hypercomplex Numbers.-Geometrical Representation.- Geometry and Trigonometry in Two-Dimensional Algebras.- Some Properties of Fundamental Conic Section.- Numerical Examples.- 5 Functions of a Hyperbolic Variable.- Some Remarks on Functions of a Complex Variable.- Functions of Hypercomplex Variables.- The Functions of a Hyperbolic Variable.- The Elementary Functions of a Canonical Hyperbolic Variable.- H-Conformal Mappings.- Commutative Hypercomplex Systems with Three Unities.- 6 Hyperbolic Variables on Lorentz Surfaces.- Introduction.- Gauss: Conformal Mapping of Surfaces.- Extension of Gauss Theorem: Conformal Mapping of Lorentz Surfaces.- Beltrami: Complex Variables on a Surface.- Beltrami’s Integration of Geodesic Equations.- Extension of Beltrami’s Equation to Non-Definite Differential Forms.- 7 Constant Curvature Lorentz Surfaces.- Introduction.- Constant Curvature RiemannSurfaces.- Constant Curvature Lorentz Surfaces.- Geodesics and Geodesic Distances on Riemann and Lorentz Surfaces.- Conclusions.- 8 Generalization of Two-Dimensional Special Relativity (Hyperbolic Transformations and the Equivalence Principle).- Physical Meaning of Transformations by Hyperbolic Functions.- Physical Interpretation of Geodesics on Riemann and Lorentz Surfaces with Positive Constant Curvature.- Einstein’s Way to General Relativity.- Conclusions.- II An Introduction to Commutative Hypercomplex Numbers.- 9 Commutative Segre’s Quaternions.- Introduction.- Hypercomplex Systems with Four Units.- Historical Introduction of Segre’s Quaternion.- Algebraic Properties of Commutative Quaternions.- Functions of a Quaternion Variable.- Mapping by Means of Quaternion Functions.- Elementary Functions of the Quaternions.- Elliptic-Hyperbolic Quaternions.- Elliptic-Parabolic Generalized Segre’s Quaternions.- 10 Constant Curvature Segre’s Quaternion Spaces.- Introduction.- Quaternion differential geometry and geodesic equations.- Orthogonality in Segre’s Quaternion Space.- Constant Curvature Quaternion Spaces.- Geodesic Equations in Quaternion Space.- Beltrami’s Integration Method for Quaternion Spaces.- Beltrami’s Integration Method for Quaternion Spaces.- Conclusions.- 11 A Matrix Formalization for Commutative Hypercomplex Systems.- Mathematical Operations.- Properties of the Characteristic Matrix M.- Functions of Hypercomplex Variable.- Functions of a Two-Dimensional Hypercomplex Variable.- Derivatives of a Hypercomplex Function.- Characteristic Differential Equation.- A Equivalence Between the Formalizations of Hypercomplex Numbers.
£47.49
Springer Fachmedien Wiesbaden Komplexe Strukturen: Entropie und Information
Book SynopsisDie Erforschung komplexer Strukturen ist gegenwärtig eines der interessantesten wissenschaftlichen Themen. Dieses Buch behandelt Möglichkeiten der Beschreibung und quantitativen Charakterisierung komplexer Strukturen mit Hilfe verschiedener Entropie- und Informationsmaße. Nach einer allgemein verständlichen Einführung der Grundbegriffe werden die für eine quantitative Analyse erforderlichen Konzepte ausführlich behandelt und an zahlreichen Beispielen, wie Zeitreihen, Biosequenzen, literarischen Texten und Musikstücken, veranschaulicht.Table of ContentsKomplexität und Entropie - Selbstorganisation und Information - Informationstheoretische Maße - Dynamisch generierte Strukturen - Entropie und Komplexität natürlicher Sequenzen - Quantitative Ästhetik
£44.99
Springer Fachmedien Wiesbaden Elemente der theoretischen Physik: Band 1,
Book SynopsisDas Buch vermittelt die Grundlagen und wichtigsten Konzepte der Theoretischen Mechanik und Speziellen Relativitätstheorie, soweit sie in Lehramts- und Bachelorstudiengängen benötigt werden. Dabei handelt es sich nicht um eine im Sinne des Master- oder des früheren Diplomstudiums "möglichst umfassend" gehaltene Darstellung, sondern um eine - im Vergleich zu anderen Lehrbuchwerken zur Theoretischen Physik schlank gehaltene - Darlegung der theoretischen Grundpfeiler der modernen Physik.Table of ContentsKlassische Mechanik - Spezielle Relativitätstheorie - Lösungen und Lösungstipps zu den Aufgaben - Mathematischer Anhang - Einheiten und Konstanten
£28.49
Springer Fachmedien Wiesbaden Grundkurs Theoretische Physik
Book SynopsisKompakt und verständlich führt dieses Lehrbuch in die Grundlagen der theoretischen Physik ein. Dabei werden die üblichen Themen der Grundvorlesungen Mechanik, Elektrodynamik, Relativitätstheorie, Quantenmechanik , Thermodynamik und Statistik in einem Band zusammengefasst, um den Zusammenhang zwischen den einzelnen Teilgebieten besonders zu betonen. Ein Kapitel mit mathematischen Grundlagen der Physik erleichtert den Einstieg. Zahlreiche Übungsaufgaben dienen der Vertiefung des Stoffes.Table of ContentsGrundbedingungen der Erfahrung - Mechanik - Elektrodynamik - Quantenmechanik I - Quantenmechanik II - Thermodynamik und Statistik - Übungen
£36.09
Wurzburg University Press Numerical schemes for multi-species BGK equations
Book Synopsis
£22.50
Mathematical Society of Japan Surveys On Geometry And Integrable Systems
Book SynopsisThe articles in this volume provide a panoramic view of the role of geometry in integrable systems, firmly rooted in surface theory but currently branching out in all directions.The longer articles by Bobenko (the Bonnet problem), Dorfmeister (the generalized Weierstrass representation), Joyce (special Lagrangian 3-folds) and Terng (geometry of soliton equations) are substantial surveys of several aspects of the subject. The shorter ones indicate more briefly how the classical ideas have spread throughout differential geometry, symplectic geometry, algebraic geometry, and theoretical physics.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
£59.85
Springer Verlag Note di fisica statistica
Book SynopsisIl testo si configura come un' introduzione alla fisica statistica rivolto in primo luogo a quei corsi di studio in ingegneria che più hanno a che fare con le proprietà fisiche dei materiali, ed ha lo scopo di fornire le basi microscopiche del comportamento termodinamico di cui si fa uso sia in molti corsi tradizionali, quali quelli di termofluidica d'interesse per l'ingegneria chimica e nucleare, che in corsi rivolti ad applicazioni avanzate nella scienza dei materiali e nelle nanotecnologie. Particolare attenzione viene quindi dedicata all'impiego di metodi di fisica statistica nella scienza dei materiali, approfondendo tematiche relative alle vibrazioni nei solidi, ai processi di nucleazione liquido/vapore, alla struttura dello stato fluido e vetroso, ai plasmi, ai materiali magnetici, al gas di Fermi e alla superfluidità. Per il suo carattere generale, e per l'accento posto sui fondamenti della meccanica quantistica, il volume si presta comunque a costituire anche un testo introduttivo alla meccanica statistica per studenti dei corsi di laurea in fisica.Trade ReviewFrom the reviews:“The book covers the main typical arguments of a course on statistical physics and thermodynamics in the Italian university system. … the author intends to transmit to the readers: the subject of statistical physics is not only useful, but is also far to be boring and can reveal an intrinsic beauty. Also, the style of writing the different chapters reveals the intention of the author to give a pleasant environment for the study of the subject.” (Francesco Salvarani, Zentralblatt MATH, Vol. 1241, 2012)
£49.49
Birkhauser Verlag AG Numerical methods for atomic quantum gases
Book SynopsisThe achievement of Bose-Einstein condensation in ultra-cold vapours of alkali atoms has given enormous impulse to the study of dilute atomic gases in condensed quantum states inside magnetic traps and optical lattices. High purity and easy optical access make them ideal candidates to investigate fundamental issues on interacting quantum systems. This review presents some theoretical issues which have been addressed in this area and the numerical techniques which have been developed and used to describe them, from mean-field models to classical and quantum simulations for equilibrium and dynamical properties. The attention given in this article to methods beyond standard mean-field approaches should make it a useful reference point for future advances in these areas.
£17.09
Birkhauser Verlag AG Highlights in the quantum theory of condensed
Book SynopsisThe birth of condensed matter physics in Italy is linked to a small number of very distinguished scientists. Mario Tosi, Professor of Physics of Matter at the Scuola Normale Superiore, is unquestionably among the leading figures, a true founder of the theoretical activity in the country and a true catalyst of novel research directions internationally. This volume collects the proceedings of a symposium held at Scuola Normale Superiore di Pisa, designed to show Mario Tosi's broad, deep influence in very diverse areas of the quantum theory of condensed matter. The topics covered in the volume represent the breadth of his interests and the highlights in the quantum theory of condensed matter: liquids, electronic states in complex structures, quantum degenerate gases, many-body physics.
£18.04
Birkhauser Verlag AG On the work of Givental relative to mirror
Book SynopsisThese are the informal notes of two seminars held at the Università di Roma “La Sapienza”, and at the Scuola Normale Superiore in Pisa in spring and autumn 1997. We discuss in detail the content of the parts of a paper by Givental dealing with mirror symmetry for projective complete intersections.
£10.99
Birkhauser Verlag AG Spectral properties of Schroedinger operators and
Book SynopsisThese are the written notes of Fermi's Lectures supported by the Accademia Nazionale dei Lincei and given at the Scuola Normale Superiore of Pisa during March-April 1973. We propose to discuss here certain spectral properties of Schrödinger operators H=-D+V(x) (D the Laplacian and V a potential) which have application to scattering theory. We consider an operator H with potential V of class SR. We show that the positive point spectrum of H is a discrete set in R+. Eigenfunctions which correspond to positive eigenvalues are shown to decay rapidly. This property is shown to hold also for generalized eigenfunctions. We then establish the limiting absorbing principle, which is a basic tool in our study.
£9.45
Birkhauser Verlag AG Symmetry in physics
Book SynopsisThese notes contain lectures on the theory of group representations and its applications to the physics of atoms, molecules and crystals, given at Purdue University, Scuola Normale Superiore (Pisa, Italy) and Universidad Técnica Federico Santa Maria (Valparaiso, Chile) on and off over a period of over 25 years. The topics selected reflect my special interests and their scope is limited by the time available to the students. The style is somewhat concise and will require careful attention on the part of the reader.
£11.99
Birkhauser Verlag AG Quantum cohomology at the Mittag-Leffler
Book SynopsisThese are transcripts of notes taken at (some of) the lectures given at the Mittag-Leffler Institute during the first semester of the year 1996/97 on Enumerative geometry and its interaction with theoretical physics. The first part of this collection consists of notes from talks on the basics of quantum cohomology; the second part treats more advanced topics in quantum cohomology; the third part consists of background material and related topics; an appendix gives a description of Kresch's C-program Farsta for quantum cohomology computations. These notes are meant as a series of snapshots of quantum cohomology as seen by the speakers at the time of their lectures. The reader should bear in mind that quantum cohomology is a growing and rapidly changing field. Many of the writeups have been left in the form of the original talks, which were usually more concerned with giving motivations and a point of view, rather than conveying detailed proofs or attempting to survey the considerably extensive literature on the subject.
£10.99
Birkhauser Verlag AG An introduction to computational physics: Part I:
Book SynopsisThese volumes collect the lecture notes of the course “An introduction to computational physics” held in the academic year 2000/01 for students of the University of Pisa and Scuola Normale Superiore at the level of the last two-year undergraduates in physics and chemistry. Grid methods are the tool of the trade for the solution of ordinary and partial differential equations and consequently they represent a “must” for anyone dealing with computational science. With grid methods, a major distinction is made between methods which do not require matrix algebra and those which do.
£11.99
Birkhauser Verlag AG An introduction to computational physics: Part
Book SynopsisThese volumes collect the lecture notes of the course “An introduction to computational physics” held in the academic year 2000/01 for students of the University of Pisa and Scuola Normale Superiore at the level of the last two-year undergraduates in physics and chemistry. The second part deals with various types of particle methods, both deterministic and stochastic, used in modern applications of computer simulations in physics and related disciplines.
£11.99
Birkhauser Verlag AG Lectures on nonlinear physics
Book SynopsisThe main goal of these lectures is to get students acquainted with a glossary of nonlinear physics. I try to present the material of the lectures (delivered at SNS Pisa in April -- June 1999) in such a way that the students do not need to use additional literature during the first reading. The lectures focus on the following arguments: discussion of nonlinear problems in classical physics; the use of the multiple time scale expansion method to solve problems of nonlinear oscillations; description of nonlinear wave steepening and shock wave formation using the Lagrange variables; solution of nonlinear elliptic equations considering the Liouville equation; soliton solutions of the Korteweg de Vries, Sine-Gordon and Nonlinear Schrödinger equations; the use of the Backlund transformation; self-similarity of nonlinear systems.
£11.99
