This distinguished little book is a brisk introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them.

    In The Origin and Development of the Quantum Theory, we address the behaviour of atoms and subatomic particles and peer into the scaffolding and instruction manuals of the Gods. Nobel Prize winning physicist Max Planck, despite a reputedly steady and conservative disposition, revolutionised his field and his work on black body radiation and his particular conclusions on Quanta remain on the cutting edge of theoretical physics. Atoms and subatomic particles emit thermal radiation but the extent to which this is from the violet portion of the spectrum varies, in this lecture, the reader can find out why.After a life in which he had already been fighting to see an upswing in the fortunes of his beleaguered nation, he gave this lecture to an assembly of his most distinguished colleagues in 1920 in Stockholm. In these pages you can find his inspiring words about the glory of a lofty goal being undimmed by initial failures. In a moment of fantastic success, this speech illustrates the truth of his theory, rising from the ashes of the First World War with a discovery which changed the way physicists think. The lecture theatre was full of the finest minds of the age, waiting with baited breath on the edge of their seats to hear a genius hold forth on what made the Universe run.As the great man himself said 'Whatever the answer to this question, there can be no doubt that science will some day master the dilemma'.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.comThis book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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    This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.

    Routledge is an imprint of Taylor & Francis, an informa company.

    First explicit statement of law of conservation of matter in chemical change; first modern list of chemical elements; more. Facsimile reprint of original (1790) Kerr translation. Introduction by Professor Douglas McKie.Introduction1 Of the formation & decomposition of aeriform fluids, of the combustion of simple bodies & the formation of acids 2 Of the combination of acids with salifiable bases & of the formation of neutral salts3 Description of the instruments & operations of chemistryAppendix

    

    The central concept of his philosophy is found in a careful discrimination between the awareness of objects independent of our perception and the awareness of essences attributed to objects by our mind, or between what Santayana calls the realm of existents and the realm of subsistents. Since we can never be certain that these attributes actually inhere in a substratum of existents, skepticism is established as a form of belief, but animal faith is shown to be a necessary quality of the human mind. Without this faith there could be no rational approach to the necessary problem of understanding and surviving in this world.Santayana derives this practical philosophy from a wide and fascinating variety of sources. He considers critically the positions of such philosophers as Descartes, Euclid, Hume, Kant, Parmenides, Plato, Pythagoras, Schopenhauer, and the Buddhist school as well as the assumptions made by the ordinary man in everyday situations. Such matters as the nature of belief, the rejection of classical idealism, the nature of intuition and memory, symbols and myth, mathematical reality, literary psychology, the discovery of essence, sublimation of animal faith, the implied being of truth, and many others are given detailed analyses in individual chapters.

    The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes.Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. The Fractal Geometry of Nature is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.

    A System of Logic is the first major installment of his comprehensive restatement of an empiricist and utilitarian position. It begins the attack on ""intuitionism"" which Mill carried on throughout his life, and makes plain his belief that social planning and political action should rely primarily on scientific knowledge, not on authority, custom, revelation, or prescription.Contents Include: OF NAMES AND PROPOSITIONS Of the Necessity of commencing with an Analysis of Language Of Names Of the Things denoted by Names Of Proposition Of the Import of Propositions Of Propositions merely Verbal Of the nature of Classification and the five Predicables Of Definition OF REASONING Of Inference, or Reasoning in General Of Ratiocination, or Syllogism Of the Functions, and logical Values of Syllogism Of trains of Reasoning and Deductive Sciences Of Demonstration and Necessary truths OF INDUCTION Observations on Induction in General On the Ground of Induction Of the Laws of Nature Of The Law of Universal Causation Of The Composition of Causes Of Observation and Experiment, Four Methods of Experimental Enquiry Miscellaneous Examples Plurality of Causes Of the Deductive Method Explanation of Laws of Nature. Keywords: Knowledge, Theory of Logic Science Methodology

    He maintains at the outset that the importance of a physical law isn't "how clever we are to have found it out, but...how clever nature is to pay attention to it" & tends his discussions toward a final exposition of the elegance & simplicity of all scientific laws. Rather than an essay on the most significant achievements in modern science, The Character of Physical Law is a statement of what is most remarkable in nature. His enlightened approach, wit & enthusiasm make this a memorable exposition of the scientist's craft. The Law of Gravitation is the principal example. Relating the details of its discovery & stressing its mathematical character, he uses it to demonstrate the essential interaction of mathematics & physics. He views mathematics as the key to any system of scientific laws, suggesting that if it were possible to fill out the structure of scientific theory completely, the result would be an integrated set of axioms. The principles of conservation, symmetry & time-irreversibility are then considered in relation to developments in classical & modern physics. In his final lecture he develops his own analysis of the process & future of scientific discovery. Like any set of oral reflections, The Character of Physical Law has value as a demonstration of a mind in action. The reader is particularly lucky in Feynman. One of the most eminent & imaginative modern physicists, he was Professor of Theoretical Physics at the California Institute of Technology until his death in 1988. He's best known for work on the quantum theory of the electromagnetic field, as well as for later research in the field of low-temperature physics. In 1954 he received the Albert Einstein Award for an "outstanding contribution to knowledge in mathematical & physical sciences"; in 1965 he was appointed to Foreign Membership in the Royal Society & was awarded the Nobel Prize.

    Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

    Dewey believes that the method of empirical naturalism presented in this volume provides the way, and the only way by which one can freely accept the standpoint and conclusions of modern science. Contents: experience and philosophic method; existence as precarious and as stable; nature, ends and histories; nature, means and knowledge; nature, communication and as meaning; nature, mind, and the subject; nature, life and body-mind; existence, ideas and consciousness; experience, nature and art; existence value and criticism.

    Heath's translation of the thirteen books of Euclid's Elements. In keeping with Green Lion's design commitment, diagrams have been placed on every spread for convenient reference while working through the proofs; running heads on every page indicate both Euclid's book number and proposition numbers for that page; and adequate space for notes is allowed between propositions and around diagrams. The all-new index has built into it a glossary of Euclid's Greek terms.Heath's translation has stood the test of time, and, as one done by a renowned scholar of ancient mathematics, it can be relied upon not to have inadvertantly introduced modern concepts or nomenclature. We have excised the voluminous historical and scholarly commentary that swells the Dover edition to three volumes and impedes classroom use of the original text. The single volume is not only more convenient, but less expensive as well.

    His public advocacy of the Copernican over the Aristotelian system of the universe flew directly in the face of biblical authority and ecclesiastical tradition. Condemned and placed under house arrest by the Inquisition, Galileo nonetheless devoted his last years to the completion of his Dialogues Concerning Two New Sciences, which deals with motion and the resistance of solids. The Two New Sciences, which Galileo called his most important work, may be regarded as the summary statement of a life devoted to scientific experimentation and free inquiry untrammeled by tradition and authority.