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GET /services/catalog/products?format=api&page=77194
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Suitable for advanced undergraduates and graduate students of mathematics, this long-out-of-print monograph forms a cornerstone for any library in mathematical logic and related topics.The three-part treatment begins with an exploration of first order systems, including a treatment of predicate calculus involving Gentzen's cut-elimination theorem and the theory of natural numbers in terms of Godel's incompleteness theorem and Gentzen's consistency proof. The second part, which considers second order and finite order systems, covers simple type theory and infinitary logic. 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The introductory approach bridges the gap between mere manipulation and a genuine understanding of an important aspect of both pure and applied mathematics.Beginning with a consideration of coordinate transformations and mappings, the treatment examines loci in three-space, transformation of coordinates in space and differentiation, tensor algebra and analysis, and vector analysis and algebra. Additional topics include differentiation of vectors and tensors, scalar and vector fields, and integration of vectors. The concluding chapter employs tensor theory to develop the differential equations of geodesics on a surface in several different ways to illustrate further differential geometry.", "author": "C. E. 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Gifted with a rare ability to explain complicated scientific concepts to lay readers, Nobel laureate Max Born presents a step-by-step guide to the understanding of molecules, atoms, subatomic particles, and nuclear physics. Chemical and Engineering News praised Born's narrative as \"masterfully discussed . . . easy and delightful,\" and Philosophy of Science declared that it \"should be welcomed by all.\" Starting with explanations of molecular motion and the kinetic theory of gases, Born advances to the laws of chance, conduction of heat, molecular weight, relativity, mass and energy, electronic charges, gaseous ions, light waves, light quanta, and spectral lines of gases. Subsequent topics include electron waves, Bohr's theory of the hydrogen atom, wave mechanics, Pauli's exclusion principle, cosmic rays, nuclear structure, and dozens of related subjects. Profusely illustrated with helpful figures and drawings, the text includes an extensive appendix that explains the historical and social significance of developments in modern physics.", "author": "Max Born", "slug": "the-restless-universe-112590-9780486320717-max-born", "thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/9780486320717.jpg", "default_thumbnail_image": "//redshelf-images.s3-external-1.amazonaws.com/thumbnail/default_book_thumbnail.jpg", "product_type": "book", "product_id": "112590", "product_url": "/app/ecom/book/112590/the-restless-universe-112590-9780486320717-max-born", "bisac_codes": [ "SCI055000" ], "items_count": null, "identifiers": { "ISBN13": "9780486204123", "EISBN13": "9780486320717", "EISBN10": "0486320715" }, "drm": null, "cover_image": null, "default_cover_image": null, "book_type": null }, "relationships": { "lowest_offering": { "data": { "type": "offerings", "id": "00010026201618" } } } }, { "type": "Product", "id": "00010000112589", "attributes": { "name": "Prosperity", "subtitle": "Spiritual Secrets to an Abundant Life", "description": "Twelve easy lessons will help you find wealth, abundance, and a sense of purpose. This self-help guide was written by Charles Fillmore, an ordained minister of the New Thoughtbased Unity Church. By following Fillmore's scripture-derived instructions, you'll discover your inner creative principles of faith and mental power. 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Geared toward beginning astronomers from junior high school level and up, this entertaining guide was written in direct, nontechnical terms by an experienced astronomer and well-known author. Daylight and nighttime activities include sightings of comets, meteors, stars, and planets as well as phases of the Moon, halos, twilights, and many other intriguing phenomena.These interesting, instructive activities and projects require just the naked eye and ordinary household materials. In addition to a wealth of activities for families to enjoy together, Seeing the Sky also offers a fine resource for classrooms, astronomy clubs, nature societies, and other groups. 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This text by a noted pair of experts is regarded as the definitive work on the subject. It formulates the general sieve problem, explores the theoretical background, and illustrates significant applications.\"For years to come, Sieve Methods will be vital to those seeking to work in the subject, and also to those seeking to make applications,\" noted prominent mathematician Hugh Montgomery in his review of this volume for the Bulletin of the American Mathematical Society. The authors supply the theoretical background for the method of Jurkat-Richert and illustrate it by means of significant applications, concentrating on the \"small\" sieves of Brun and Selberg. 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How is it possible that someone with no formal education beyond grammar school wrote the world's most read and performed plays? This captivating exploration of the mysteries surrounding Shakespeare's life and work offers a persuasive case for the authenticity of his authorship.Scholarly but readable, the study rests upon the surviving evidence of the playwright's family life and career, from his humble beginnings to the triumphant presentations of his dramas before commoners and royalty alike. Author Irvin Leigh Matus discusses the publication and dating of the plays, their performance in the seventeenth and eighteenth centuries, and the arguments favoring the Earl of Oxford as the true author. 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