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Mathematics For Natural Scientists
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Book Synopsis Mathematics for Natural Scientists by : Lev Kantorovich
Download or read book Mathematics for Natural Scientists written by Lev Kantorovich and published by Springer. This book was released on 2015-10-08 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a course of mathematics designed primarily for physics and engineering students. It includes all the essential material on mathematical methods, presented in a form accessible to physics students, avoiding precise mathematical jargon and proofs which are comprehensible only to mathematicians. Instead, all proofs are given in a form that is clear and convincing enough for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each section of the book. Mathematics for Natural Scientists: Fundamentals and Basics is the first of two volumes. Advanced topics and their applications in physics are covered in the second volume.
Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly
Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011-03-04 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book identifies the organizing concepts of physical and biological phenomena by an analysis of the foundations of mathematics and physics. Our aim is to propose a dialog between different conceptual universes and thus to provide a unification of phenomena. The role of “order” and symmetries in the foundations of mathematics is linked to the main invariants and principles, among them the geodesic principle (a consequence of symmetries), which govern and confer unity to various physical theories. Moreover, an attempt is made to understand causal structures, a central element of physical intelligibility, in terms of both symmetries and symmetry breakings. A distinction between the principles of (conceptual) construction and of proofs, both in physics and in mathematics, guides most of the work. The importance of mathematical tools is also highlighted to clarify differences in the models for physics and biology that are proposed by continuous and discrete mathematics, such as computational simulations. Since biology is particularly complex and not as well understood at a theoretical level, we propose a “unification by concepts” which in any case should precede mathematization. This constitutes an outline for unification also based on highlighting conceptual differences, complex points of passage and technical irreducibilities of one field to another. Indeed, we suppose here a very common monist point of view, namely the view that living objects are “big bags of molecules”. The main question though is to understand which “theory” can help better understand these bags of molecules. They are, indeed, rather “singular”, from the physical point of view. Technically, we express this singularity through the concept of “extended criticality”, which provides a logical extension of the critical transitions that are known in physics. The presentation is mostly kept at an informal and conceptual level. Contents:Mathematical Concepts and Physical ObjectsIncompleteness and Indetermination in Mathematics and PhysicsSpace and Time from Physics to BiologyInvariances, Symmetries, and Symmetry BreakingsCauses and Symmetries: The Continuum and the Discrete in Mathematical ModelingExtended Criticality: The Physical Singularity of Life PhenomenaRandomness and Determination in the Interplay between the Continuum and the DiscreteConclusion: Unification and Separation of Theories, or the Importance of Negative Results Readership: Graduate students and professionals in the fields of natural sciences, biology, computer science, mathematics, and physics. Keywords:Foundations of Mathematics and of Physics;Epistemology;Theoretical BiologyKey Features:This book is an epistemological reflection carried out by two working scientists, a physicist and a mathematician, who focus on biology. They first address a comparative analysis of the founding principles of their own disciplines. On the grounds of a three-fold blend, they then introduce a unique proposal, which does not passively transfer the paradigms of the first two theoretically well-established disciplines, to suggest a novel theoretical framework for the third discipline
Book Synopsis Philosophy of Mathematics and Natural Science by : Hermann Weyl
Download or read book Philosophy of Mathematics and Natural Science written by Hermann Weyl and published by Princeton University Press. This book was released on 2009-05-17 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: History of mathematics.
Book Synopsis Mathematical Methods for the Natural and Engineering Sciences by : Ronald E Mickens
Download or read book Mathematical Methods for the Natural and Engineering Sciences written by Ronald E Mickens and published by World Scientific Publishing Company. This book was released on 2004-04-13 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a variety of methods required for the analysis and solution of equations which arise in the modeling of phenomena from the natural and engineering sciences. It can be used productively by both undergraduate and graduate students, as well as others who need to learn and understand these techniques. A detailed discussion is also presented for several topics that are usually not included in standard textbooks at this level: qualitative methods for differential equations, dimensionalization and scaling, elements of asymptotics, difference equations, and various perturbation methods. Each chapter contains a large number of worked examples and provides references to the appropriate literature.
Book Synopsis Mathematics Applied to Deterministic Problems in the Natural Sciences by : C. C. Lin
Download or read book Mathematics Applied to Deterministic Problems in the Natural Sciences written by C. C. Lin and published by SIAM. This book was released on 1988-12-01 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the construction, analysis, and intepretation of mathematical models that shed light on significant problems in the physical sciences, with exercises that reinforce, test and extend the reader's understanding. It may be used as an upper level undergraduate or graduate textbook as well as a reference for researchers.
Book Synopsis Mathematics for Natural Scientists II by : Lev Kantorovich
Download or read book Mathematics for Natural Scientists II written by Lev Kantorovich and published by Springer. This book was released on 2016-08-10 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.
Book Synopsis Mathematics and the Natural Sciences by : Francis Bailly
Download or read book Mathematics and the Natural Sciences written by Francis Bailly and published by World Scientific. This book was released on 2011 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book aims at the identification of the organising concepts of some physical and biological phenomena, by means of an analysis of the foundations of mathematics and of physics. This is done in the perspective of unifying phenomena, of bringing different conceptual universes into dialog. The analysis of the role of “order” and of symmetries in the foundations of mathematics is linked to the main invariants and principles, among which the geodesic principle (a consequence of symmetries), which govern and confer unity to the various physical theories. Moreover, we attempt to understand causal structures, a central element of physical intelligibility, in terms of symmetries and their breakings. The importance of the mathematical tool is also highlighted, enabling us to grasp the differences in the models for physics and biology which are proposed by continuous and discrete mathematics, such as computational simulations. A distinction between principles of (conceptual) construction and principles of proofs, both in physics and in mathematics, guides this part of the work.As for biology, being particularly difficult and not as thoroughly examined at a theoretical level, we propose a “unification by concepts”, an attempt which should always precede mathematisation. This constitutes an outline for unification also basing itself upon the highlighting of conceptual differences, of complex points of passage, of technical irreducibilities of one field to another. Indeed, a monist point of view such as ours should not make us blind: we, the living objects, are surely just big bags of molecules or, at least, this is our main metaphysical assumption. The point though is: which theory can help us to better understand these bags of molecules, as they are, indeed, rather “singular”, from the physical point of view. Technically, this singularity is expressed by the notion of “extended criticality”, a notion that logically extends the pointwise critical transitions in physics.
Book Synopsis Philosophy of Mathematics and Natural Science by : Hermann Weyl
Download or read book Philosophy of Mathematics and Natural Science written by Hermann Weyl and published by Princeton University Press. This book was released on 2021-09-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankind understood about the physical world, the more curious we became. The book is divided into two parts, one on mathematics and the other on the physical sciences. Drawing on work by Descartes, Galileo, Hume, Kant, Leibniz, and Newton, Weyl provides readers with a guide to understanding science through the lens of philosophy. This is a book that no one but Weyl could have written--and, indeed, no one has written anything quite like it since.
Book Synopsis Mathematics for Natural Scientists II by : Lev Kantorovich
Download or read book Mathematics for Natural Scientists II written by Lev Kantorovich and published by Springer. This book was released on 2016-08-02 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers the advanced mathematical techniques useful for physics and engineering students, presented in a form accessible to physics students, avoiding precise mathematical jargon and laborious proofs. Instead, all proofs are given in a simplified form that is clear and convincing for a physicist. Examples, where appropriate, are given from physics contexts. Both solved and unsolved problems are provided in each chapter. Mathematics for Natural Scientists II: Advanced Methods is the second of two volumes. It follows the first volume on Fundamentals and Basics.
Book Synopsis The Nature of Mathematics by : Philip E. B. Jourdain
Download or read book The Nature of Mathematics written by Philip E. B. Jourdain and published by Courier Corporation. This book was released on 2013-01-09 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. 1913 edition.
Book Synopsis Mathematical Analysis of Problems in the Natural Sciences by : Vladimir Zorich
Download or read book Mathematical Analysis of Problems in the Natural Sciences written by Vladimir Zorich and published by Springer Science & Business Media. This book was released on 2010-10-11 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a two-semester course aimed at illustrating various interactions of "pure mathematics" with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large number of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, finally, classical thermodynamics and contact geometry, which covers two main principles of thermodynamics in the language of differential forms, contact distributions, the Frobenius theorem and the Carnot-Caratheodory metric. It includes problems, historical remarks, and Zorich's popular article, "Mathematics as language and method."
Book Synopsis Foundations of Science Mathematics by : Deviderjit Singh Sivia
Download or read book Foundations of Science Mathematics written by Deviderjit Singh Sivia and published by OUP Oxford. This book was released on 1999-06-24 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text spans a large range of mathematics, from basic algebra to calculus and Fourier transforms. Its tutorial style bridges the gap between school and university while its conciseness provides a useful reference for the professional.
Download or read book Sciencia written by Matt Tweed and published by Bloomsbury Publishing USA. This book was released on 2011-11-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects six short illustrated volumes covering topics in mathematics, physics, chemistry, biology, evolution, and astronomy.
Book Synopsis Mathematics for the Physical Sciences by : Herbert S Wilf
Download or read book Mathematics for the Physical Sciences written by Herbert S Wilf and published by Courier Corporation. This book was released on 2013-01-18 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and solutions. 1962 edition.
Book Synopsis Femininity, Mathematics and Science, 1880–1914 by : C. Jones
Download or read book Femininity, Mathematics and Science, 1880–1914 written by C. Jones and published by Springer. This book was released on 2009-10-15 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Through the prism of gender, this text explores the contrasting cultures and practice of mathematics and science and asks how they impacted on women. Claire Jones assesses nineteenth-century ideas about women's intellect, femininity and masculinity, and assesses how these attitudes shaped women's experiences as students and practitioners.
Book Synopsis Philosophical Reflections and Syntheses by : Eugene Paul Wigner
Download or read book Philosophical Reflections and Syntheses written by Eugene Paul Wigner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the founding fathers of modern quantum physics few have contributed to our basic understanding of its concepts as much as E.P. Wigner. His articles on the epistemology of quantum mechanics and the measurement problem, and the basic role of symmetries were of fundamental importance for all subsequent work. He was also the first to discuss the concept of consciousness from the point of view of modern physics. G.G. Emch edited most of those papers and wrote a very helpful introduction into Wigner's contributions to Natural Philosophy. The book should be a gem for all those interested in the history and philosophy of science.
Download or read book Mind and Nature written by Hermann Weyl and published by University of Pennsylvania Press. This book was released on 2015-09-30 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new study of the mathematical-physical mode of cognition.
