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Author: Hermann Selchow Publisher: tredition ISBN: 3384396286 Category : Psychology Languages : en Pages : 186
Book Description
"Principles of Duality: The Quest for Balance in the World" Discover the profound connections of duality that shape our lives and the world we live in. In "Principles of Duality: The Quest for Balance in the World," the author sheds light on the eternal opposites that seem to conflict with each other, but in truth work together to achieve balance in all things. This book offers a philosophical reflection on the universal principle of duality. It explains how opposing forces such as light and darkness, order and chaos, good and evil, love and fear are not only in conflict with each other, but also depend on each other to achieve harmony and balance. Whether in nature, human relationships, or world politics, the interplay of these forces is essential to understanding and the existence of the world. "Principles of Duality" encourages you to rethink the pursuit of balance in all areas of life and gain new perspectives on the challenges of everyday life. What you can expect: Extensive insights into the contradictions that shape our world Philosophical reflections on the interplay of forces and their significance for all of our lives Practical considerations and inspiration for more harmony and balance This book is aimed at anyone who wants to look at the world through a new, deeper lens - regardless of whether you are interested in philosophy, personal development or the realities of world events. Immerse yourself in the fascinating principles of duality and embark on a journey through the universe of balance and contradictions.
Author: Hermann Selchow Publisher: tredition ISBN: 3384396286 Category : Psychology Languages : en Pages : 186
Book Description
"Principles of Duality: The Quest for Balance in the World" Discover the profound connections of duality that shape our lives and the world we live in. In "Principles of Duality: The Quest for Balance in the World," the author sheds light on the eternal opposites that seem to conflict with each other, but in truth work together to achieve balance in all things. This book offers a philosophical reflection on the universal principle of duality. It explains how opposing forces such as light and darkness, order and chaos, good and evil, love and fear are not only in conflict with each other, but also depend on each other to achieve harmony and balance. Whether in nature, human relationships, or world politics, the interplay of these forces is essential to understanding and the existence of the world. "Principles of Duality" encourages you to rethink the pursuit of balance in all areas of life and gain new perspectives on the challenges of everyday life. What you can expect: Extensive insights into the contradictions that shape our world Philosophical reflections on the interplay of forces and their significance for all of our lives Practical considerations and inspiration for more harmony and balance This book is aimed at anyone who wants to look at the world through a new, deeper lens - regardless of whether you are interested in philosophy, personal development or the realities of world events. Immerse yourself in the fascinating principles of duality and embark on a journey through the universe of balance and contradictions.
Author: David Yang Gao Publisher: Springer Science & Business Media ISBN: 9780792361459 Category : Mathematics Languages : en Pages : 476
Book Description
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Author: Peter Carr Publisher: Springer ISBN: 3319924923 Category : Mathematics Languages : en Pages : 162
Book Description
This book provides a concise introduction to convex duality in financial mathematics. Convex duality plays an essential role in dealing with financial problems and involves maximizing concave utility functions and minimizing convex risk measures. Recently, convex and generalized convex dualities have shown to be crucial in the process of the dynamic hedging of contingent claims. Common underlying principles and connections between different perspectives are developed; results are illustrated through graphs and explained heuristically. This book can be used as a reference and is aimed toward graduate students, researchers and practitioners in mathematics, finance, economics, and optimization. Topics include: Markowitz portfolio theory, growth portfolio theory, fundamental theorem of asset pricing emphasizing the duality between utility optimization and pricing by martingale measures, risk measures and its dual representation, hedging and super-hedging and its relationship with linear programming duality and the duality relationship in dynamic hedging of contingent claims
Author: David Yang Gao Publisher: Springer Science & Business Media ISBN: 1475731760 Category : Mathematics Languages : en Pages : 463
Book Description
Motivated by practical problems in engineering and physics, drawing on a wide range of applied mathematical disciplines, this book is the first to provide, within a unified framework, a self-contained comprehensive mathematical theory of duality for general non-convex, non-smooth systems, with emphasis on methods and applications in engineering mechanics. Topics covered include the classical (minimax) mono-duality of convex static equilibria, the beautiful bi-duality in dynamical systems, the interesting tri-duality in non-convex problems and the complicated multi-duality in general canonical systems. A potentially powerful sequential canonical dual transformation method for solving fully nonlinear problems is developed heuristically and illustrated by use of many interesting examples as well as extensive applications in a wide variety of nonlinear systems, including differential equations, variational problems and inequalities, constrained global optimization, multi-well phase transitions, non-smooth post-bifurcation, large deformation mechanics, structural limit analysis, differential geometry and non-convex dynamical systems. With exceptionally coherent and lucid exposition, the work fills a big gap between the mathematical and engineering sciences. It shows how to use formal language and duality methods to model natural phenomena, to construct intrinsic frameworks in different fields and to provide ideas, concepts and powerful methods for solving non-convex, non-smooth problems arising naturally in engineering and science. Much of the book contains material that is new, both in its manner of presentation and in its research development. A self-contained appendix provides some necessary background from elementary functional analysis. Audience: The book will be a valuable resource for students and researchers in applied mathematics, physics, mechanics and engineering. The whole volume or selected chapters can also be recommended as a text for both senior undergraduate and graduate courses in applied mathematics, mechanics, general engineering science and other areas in which the notions of optimization and variational methods are employed.
Author: Fabio Silva Botelho Publisher: CRC Press ISBN: 1003848478 Category : Mathematics Languages : en Pages : 295
Book Description
The book includes theoretical and applied results of a generalization of the numerical method of lines. A Ginzburg-Landau type equation comprises the initial application, with detailed explanations about the establishment of the general line expressions. Approximate numerical procedures have been developed for a variety of equation types, including the related algorithms and software. The applications include the Ginzburg-Landau system in superconductivity, applications to the Navier-Stokes system in fluid mechanics and, among others, models in flight mechanics. In its second and final parts, the book develops duality principles and numerical results for other similar and related models. The book is meant for applied mathematicians, physicists and engineers interested in numerical methods and concerning duality theory. It is expected the text will serve as a valuable auxiliary project tool for some important engineering and physics fields of research.
Author: Michael M. Anthony Publisher: Tate Publishing ISBN: 1621474739 Category : Religion Languages : en Pages : 448
Book Description
Is there a supreme principle that governs and unifies all things? Have you heard of the new scientific theory that has unified science and creationism? The Principles of Causal Conspiracy exposes new frontiers in science, mathematics, logic and the mind. It reveals the inner workings of the universe in a simple mathematical and scientific theory that explains the existence of space and time, fundamental particles, black holes, the Big Bang, the forces of nature, miracles, spirituality, divinity and creationism. Is it possible that we have found the ultimate unification of science, mathematics and religion? The Principles of Causal Conspiracy reveals a deep and beautiful link between mathematics, string theory, the Riemann Hypothesis, quantum physics, logic, the human mind and creationism. Michael Mark Anthony has written two books (book one and two) that give readers a whole new perspective on the controversial link between science and religion. In book one, Michael Mark Anthony reveals a new theoretical framework for unification of science, mathematics, the mind, and deism. The new theory touches all known subjects, including religion, quantum theory and cosmology. Book two reveals a deep link between Cosmology, Black holes, the Big Bang, Quantum theory, String theory, and Mathematics.
Author: Nassif Ghoussoub Publisher: Springer Science & Business Media ISBN: 0387848967 Category : Mathematics Languages : en Pages : 352
Book Description
This text is intended for a beginning graduate course on convexity methods for PDEs. The generality chosen by the author puts this under the classification of "functional analysis". The book contains new results and plenty of examples and exercises.
Author: Hermann Selchow
Author: Hermann Selchow
Author: David Yang Gao
Author: Peter Carr
Author: Bertrand Russell
Author: David Yang Gao
Author: Fabio Silva Botelho
Author: Henry Frederick Baker
Author: Michael M. Anthony
Author: Robert Lachlan
Author: Nassif Ghoussoub