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The Theory of the Top was originally presented by Felix Klein as an 1895 lecture at Göttingen University that was broadened in scope and clarified as a result of collaboration with Arnold Sommerfeld. The Theory of the Top: Volume III. Perturbations: Astronomical and Geophysical Applications is the third installment in a series of four self-contained English translations that provide insights into kinetic theory and kinematics.
The lecture series on the Theory of the Top was originally given as a dedication to Göttingen University by Felix Klein in 1895, but has since found broader appeal. The Theory of the Top: Volume I. Introduction to the Kinematics and Kinetics of the Top is the first of a series of four self-contained English translations that provide insights into kinetic theory and kinematics.
EMThe Theory of the Top. Volume II. Development of the Theory in the Case of the Heavy Symmetric TopEM is the second in a series of four self-contained English translations of the classic and definitive treatment of rigid body motion. Graduate students and researchers interested in theoretical and applied mechanics will find this a thorough and insightful account. Other works in this series include EMVolume I. Introduction to the Kinematics and Kinetics of the TopEM, EMVolume III. Perturbations. Astronomical and Geophysical ApplicationsEM, and EMVolume IV. Technical Applications of the Theory of the Top.EM
Diophantine problems represent some of the strongest aesthetic attractions to algebraic geometry. They consist in giving criteria for the existence of solutions of algebraic equations in rings and fields, and eventually for the number of such solutions. The fundamental ring of interest is the ring of ordinary integers Z, and the fundamental field of interest is the field Q of rational numbers. One discovers rapidly that to have all the technical freedom needed in handling general problems, one must consider rings and fields of finite type over the integers and rationals. Furthermore, one is led to consider also finite fields, p-adic fields (including the real and complex numbers) as representing a localization of the problems under consideration. We shall deal with global problems, all of which will be of a qualitative nature. On the one hand we have curves defined over say the rational numbers. Ifthe curve is affine one may ask for its points in Z, and thanks to Siegel, one can classify all curves which have infinitely many integral points. This problem is treated in Chapter VII. One may ask also for those which have infinitely many rational points, and for this, there is only Mordell's conjecture that if the genus is :;;; 2, then there is only a finite number of rational points.
These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.
A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.
The new edition includes additional analytical methods in the classical theory of viscoelasticity. This leads to a new theory of finite linear viscoelasticity of incompressible isotropic materials. Anisotropic viscoplasticity is completely reformulated and extended to a general constitutive theory that covers crystal plasticity as a special case.
The OECD Programme for International Student Assessment (PISA) examines what students around the world know and can do. This volume – Volume III, Creative Minds, Creative Schools – is one of five volumes presenting the results of the eighth round of the PISA assessment. For the first time, in 2022, PISA assessed students’ capacity to engage in creative thinking in 64 countries and economies, defined as students’ capacity to produce original and diverse ideas. This volume describes student performance in creative thinking in different contexts and how creative thinking performance and attitudes vary across and within countries and economies. It examines differences in performance by student characteristics, including gender and socio-economic status, as well as school-characteristics. The volume also offers an insight into school leader and teacher attitudes towards creative thinking, how opportunities for students to engage in creative thinking vary across schools, and how these factors are associated with student outcomes.
A volume devoted to the extremely clear and intrinsically beautiful theory of two-dimensional surfaces in Euclidean spaces. The main focus is on the connection between the theory of embedded surfaces and two-dimensional Riemannian geometry, and the influence of properties of intrinsic metrics on the geometry of surfaces.