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Author: Olive Whicher Publisher: SteinerBooks ISBN: 1621511618 Category : Mathematics Languages : en Pages : 26
Book Description
The Significance of Counter-Euclidean Geometry for an Understanding of Living Nature. At a time in history when contemporary social and economic thinking has been dominated by the idea of an expanding economy, scientific thinking has taken a similar direction-especially as regards theories of an expanding universe. It is importantto note this trend, for the ways in which men have at verying times in history conceptualized the universe in which they live-the forms of thought in which their science or their religious beliefs are expressed-have a direct effect on their ways of living and upon their social forms. The prevailing "thought forms" (Denkformen) of a time are reflected in the social organism. - *From the first paragraph* Olive Whicher, who is a member of the faculty of Emerson College in Sussex, England, where she lectures and gives practical courses in Projective Geometry and Plant Morphology, worked for twenty-eight years with George Adams. She is a co-author with him of several books on palnt morphology, and has written a book on Projective Geometry which has been published in German and English.
Author: Nick Thomas Publisher: Temple Lodge Publishing ISBN: 1902636023 Category : Astronomy Languages : en Pages : 193
Book Description
Rudolf Steiner discovered that, in addition to "ordinary" space, negative space, or "counterspace," also exists, leading to a more holistic worldview. Steiner suggested that it was important to understand counterspace as a necessary supplement to the conventional approach. Science between Space and Counterspace relates the phenomena of our world to both space and counterspace, which leads to a new scientific understanding. If counterspace actually exists, then the resulting interplay between counterspace and "ordinary" space must be significant. This concept is applied to gravity, liquids, gases, heat, light, chemistry, and life. Each aspect involves a separate investigation, whereas the various threads begin to interweave and become a unified whole. A new concept of time, and indications for a new approach to relativity and quantum physics begin to emerge. Note: Science between Space and Counterspace contains advanced mathematical and scientific proofs that the nonspecialist, general reader may find overly difficult.
Author: Jirí Blank Publisher: Springer Science & Business Media ISBN: 9781563961427 Category : Science Languages : en Pages : 626
Book Description
Market: Mathematicians, researchers, teachers, and graduate students specializing in quantum physics, mathematical physics, and applied mathematics. "I really enjoyed reading this work. It is very well written, by three real experts in the field. It stands quite alone....The translation is remarkably good." John R. Taylor, University of Colorado Based on lectures delivered over the past two decades, this book explains in detail the theory of linear Hilbert-space operators and its uses in quantum physics. The central mathematical tool of this book is the spectral theory of self-adjoint operators, which together with functional analysis and an introduction to the theory of operator sets and algebras, is used in a systematic analysis of the operator aspect of quantum theory. In addition, the theory of Hilbert-space operators is discussed in conjunction with various applications such as Schrodinger operators and scattering theory.
Author: Jochen Brüning Publisher: de Gruyter ISBN: 9783110451351 Category : Mathematics Languages : en Pages : 0
Book Description
At the boundary of mathematics and mathematical physics, this monograph explores recent advances in the mathematical foundations of string theory and cosmology. The geometry of matter and the evolution of geometric structures as well as special solu
Author: A Fokas Publisher: World Scientific ISBN: 1783261714 Category : Science Languages : en Pages : 336
Book Description
Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics. Contents: Modern Mathematical Physics: What It Should Be (L D Faddeev)New Applications of the Chiral Anomaly (J Fröhlich & B Pedrini)Fluctuations and Entropy Driven Space–Time Intermittency in Navier–Stokes Fluids (G Gallavotti)Superstrings and the Unification of the Physical Forces (M B Green)Questions in Quantum Physics: A Personal View (R Haag)What Good are Quantum Field Theory Infinities? (R Jackiw)Constructive Quantum Field Theory (A Jaffe)Fourier's Law: A Challenge to Theorists (F Bonetto et al.)The “Corpuscular” Structure of the Spectra of Operators Describing Large Systems (R A Minlos)Vortex- and Magneto-Dynamics — A Topological Perspective (H K Moffatt)Gauge Theory: The Gentle Revolution (L O'Raifeartaigh)Random Matrices as Paradigm (L Pastur)Wavefunction Collapse as a Real Gravitational Effect (R Penrose)Schrödinger Operators in the Twenty-First Century (B Simon)The Classical Three-Body Problem — Where is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful? (H A Posch & W Thirring)Infinite Particle Systems and Their Scaling Limits (S R S Varadhan)Supersymmetry: A Personal View (B Zumino) Readership: Mathematicians and physicists. Keywords:London (GB);Proceedings;Congress;Mathematical Physics
Author: Roger Penrose Publisher: Cambridge University Press ISBN: 9780521347860 Category : Mathematics Languages : en Pages : 516
Book Description
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.