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Fulcrum and Torsion of the Helical Myocardium
In this new book, Trainini and his team attempt a step forward and make a series of proposals that come to complete cardiac anatomy, physiology and mechanics. Reading this new investigation is a pleasure that demands continuous attention, so that our "neuronal boxes" do not rebel against the effort it means to sometimes destroy what we have firmly installed in them. The text should be read slowly, as it was never easy to tread in swamp-limited grounds and, as in the ascent to the summit of a difficult mountain, stop now and then to take a breath and enjoy the view as we get near the peak, where we will see the final landscape of the new vision. Then we will be conscious that the effort was worthwhile.
Fulcro y torsión del miocardio helicoidal
"Los autores de este libro ya nos habían deleitado en un espléndido texto hace tres años. La lectura de esta nueva investigación es un disfrute que exige la atención continua. Concentración en la lectura para ir engarzando las piezas de ese rompecabezas, que al final del libro se muestra limpio, claro y demostrativo. En la primera proposición del libro se estudia la anatomía e histología del miocardio, que determinan un músculo continuo, espiralado, una pieza íntegra que para cumplir su función muscular necesita de un punto de apoyo, el fulcro cardíaco. El miocardio se inserta en sus extremos inicial y final en este núcleo con estructura tendinosa, cartilaginosa, incluso ósea,...
Quadratic Forms and Their Applications
This volume outlines the proceedings of the conference on "Quadratic Forms and Their Applications" held at University College Dublin. It includes survey articles and research papers ranging from applications in topology and geometry to the algebraic theory of quadratic forms and its history. Various aspects of the use of quadratic forms in algebra, analysis, topology, geometry, and number theory are addressed. Special features include the first published proof of the Conway-Schneeberger Fifteen Theorem on integer-valued quadratic forms and the first English-language biography of Ernst Witt, founder of the theory of quadratic forms.
Differential and Riemannian Manifolds
This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples o...
The Mathematician's Mind
Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Lévi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book,...
The Topology of Fibre Bundles
Fibre bundles, now an integral part of differential geometry, are also of great importance in modern physics--such as in gauge theory. This book, a succinct introduction to the subject by renown mathematician Norman Steenrod, was the first to present the subject systematically. It begins with a general introduction to bundles, including such topics as differentiable manifolds and covering spaces. The author then provides brief surveys of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles. The result is a classic and timeless work of great utility that will appeal to serious mathematicians and theoretical physicists alike.
Complex Abelian Varieties
Abelian varieties are special examples of projective varieties. As such theycan be described by a set of homogeneous polynomial equations. The theory ofabelian varieties originated in the beginning of the ninetheenth centrury with the work of Abel and Jacobi. The subject of this book is the theory of abelian varieties over the field of complex numbers, and it covers the main results of the theory, both classic and recent, in modern language. It is intended to give a comprehensive introduction to the field, but also to serve as a reference. The focal topics are the projective embeddings of an abelian variety, their equations and geometric properties. Moreover several moduli spaces of abelian varieties with additional structure are constructed. Some special results onJacobians and Prym varieties allow applications to the theory of algebraic curves. The main tools for the proofs are the theta group of a line bundle, introduced by Mumford, and the characteristics, to be associated to any nondegenerate line bundle. They are a direct generalization of the classical notion of characteristics of theta functions.
Mathematical Reviews
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