Kooperativer Bibliotheksverbund

UID:

Format: IX, 123 p. , online resource.

ISBN: 9781475744897

Series Statement: Graduate Texts in Mathematics, 22

Content: This book is intended for mathematicians. Its origins lie in a course of lectures given by an algebraist to a class which had just completed a sub­ stantial course on abstract algebra. Consequently, our treatment ofthe sub­ ject is algebraic. Although we assurne a reasonable level of sophistication in algebra, the text requires little more than the basic notions of group, ring, module, etc. A more detailed knowledge of algebra is required for some of . the exercises. We also assurne a familiarity with the main ideas of set theory, including cardinal numbers and Zorn's Lemma. In this book, we carry out a mathematical study of the logic used in mathematics. We do this by constructing a mathematical model oflogic and applying mathematics to analyse the properties of the model. We therefore regard all our existing knowledge of mathematics as being applicable to the analysis of the model, and in particular we accept set theory as part of the meta-Ianguage. We are not attempting to construct a foundation on which all mathematics is to be based-rather, any conclusions to be drawn about the foundations of mathematics co me only by analogy with the model, and are to be regarded in much the same way as the conclusions drawn from any scientific theory.

Note: I Universal Algebra -- II Propositional Calculus -- III Properties of the Propositional Calculus -- IV Predicate Calculus -- V First-Order Mathematics -- VI Zermelo-Fraenkel Set Theory -- VII Ultraproducts -- VIII Non-Standard Models -- IX Turing Machines and Gödel Numbers -- X Hilbert’s Tenth Problem, Word Problems -- References and Further Reading -- Index of Notations.

In: Springer eBooks

Additional Edition: Printed edition: ISBN 9781475744910

Language: English

Keywords: Einführung

DOI: 10.1007/978-1-4757-4489-7

URL: http://dx.doi.org/10.1007/978-1-4757-4489-7

URL: Volltext

UID:

Format: Online-Ressource (XIV, 393 S.)

Edition: Online-Ausg.

Note: Parallel als Buchausg. erschienen

Additional Edition: Erscheint auch als Druck-Ausgabe The Attorney Generalś National Committee to study the antitrust laws

Language: English

URL: Volltext

UID:

Format: Online-Ressource (3 p)

Edition: Online-Ausg. Chester, Vt NewsBank, inc 2008 U.S. Congressional Serial Set, 1817-1980

Series Statement: United States congressional serial set serial set no. 10298

Note: © 2008 by NewsBank, Inc. All rights reserved

Language: English

URL: Volltext  (Deutschlandweit zugänglich)

UID:

Format: Online-Ressource (1232 p) , color maps, illustrations, tables

Edition: Online-Ausg. Chester, Vt NewsBank, inc 2007 U.S. Congressional Serial Set, 1817-1980

Series Statement: United States congressional serial set serial set no. 10192

Note: Crop rotation, by Clyde E. Leighty, p. 406 , Determining the fertilizer requirements of soils, by Oswald Schreiner and M.S. Anderson, p. 469 , Drainage in arid regions, by James Thorp and C.S. Scofield, p. 717 , Drainage in the humid regions, by John R. Haswell, p. 723 , Farm manure, by Robert M. Salter and C.J. Schollenberger, p. 445 , Fauna and flora of the soil, by Charles Thom and Nathan R. Smith, p. 940 , Fertilizer materials, by Oswald Schreiner, Albert R. Merz, and B.E. Brown, p. 487 , Forests for erosion control, by E.N. Munns, John F. Preston, and Ivan H. Sims, p. 609 , Formation of soil, by H.E. Byers, Charles E. Kellogg, M.S. Anderson, and James Thorp, p. 948 , General aspects of the soil-erosion problem, by Hugh H. Bennett and W.C. Lowdermilk, p. 581 , General chemistry of the soil, by Horace G. Byers, M.S. Anderson, and Richard Bradfield, p. 911 , Grass and other thick-growing vegetation in erosion control, by C.R. Enlow and G.W. Musgrave, p. 615 , Index, p. 1210 , Irrigation in the United States, by Wells A. Hutchins, M.R. Lewis, and P.A. Ewing, p. 693 , Loss of soil organic matter and its restoration, by William A. Albrecht, p. 347 , Management of forest soils, by I.H. Sims, E.N. Munns, and John T. Auten, p. 737 , Mechanical measures of erosion control, by M.L. Nichols and T.B. Chambers, p. 646 , Methods of applying fertilizers, by Robert Salter, p. 546 , Mixed fertilizers, by William H. Ross and Arnon L. Mehring, p. 522 , Neglected soil constituents that affect plant and animal development, by J.E. McMurtrey, Jr. and W.O. Robinson, p. 807 , Phosphorus deficiency and soil fertility, by W.H. Pierre, p. 377 , Plants as soil indicators, by H.L. Shantz, p. 835 , Public purposes in soil use, p. 47 , Selenium in soils, by K.T. Williams, p. 830 , Soil acidity and liming, by Emil Truog, p. 563 , Soil and society, by Charles E. Kellogg, p. 863 , Soil classification, by Mark Baldwin, Charles E. Kellogg, and James Thorp, p. 979 , Soil maps and their use, by J. Kenneth Ableiter, p. 1002 , Soil nitrogen, by Oswald Schreiner and B.E. Brown, p. 361 , Soil organic matter and soil humus, by Constantin C. Nikiforoff, p. 929 , Soil potassium in relation to soil fertility, by H.P. Cooper, Oswald Schreiner, and B.E. Brown, p. 397 , Soil, water supply, and soil solution in irrigation agriculture, by C.S. Scofield, p. 704 , Some relationships of soil to plant and animal nutrition -- the major elements, by C.A. Browne, p. 777 , Special dry-farming problems, by O.R. Mathews and John S. Cole, p. 679 , Strip cropping, by Walter V. Kell, p. 634 , Table of contents follows six pages after Title page , The causes: Defects in farming systems and farm tenancy, p. 137 , The causes: Imperfections in agricultural finance, p. 158 , The causes: Price relations and economic instability, p. 171 , The causes: Traditional attitudes and institutions, p. 111 , The coordinated approach to soil-erosion control, by Ervin J. Utz, p. 666 , The nature and use of organic amendments, by Irvin C. Feustel, p. 462 , The physical nature of soil, by T.D. Rice and L.T. Alexander, p. 887 , The problem: Drained areas and wildlife habitats, p. 77 , The problem: Land unfit for farming in the humid areas, by C.P. Barnes, p. 60 , The problem: Subhumid areas, p. 68 , The problem: The nation as a whole, p. 84 , The remedies: Changes in agricultural finance, p. 265 , The remedies: Direct aids to farmers, p. 279 , The remedies: Economic stabilization, p. 289 , The remedies: Education and research, p. 198 , The remedies: Policies for private lands, p. 241 , The remedies: Policies for public lands, p. 223 , The soil and the law, by Philip M. Glick, p. 296 , The soil requirements of economic plants, by M.F. Morgan, J.H. Gourley, and J.K. Ableiter, p. 753 , The use of cover crops and green-manure crops, by A.J. Pieters and Roland McKee, p. 431 , Tillage machinery, by R.B. Gray, p. 329 , Tillage, by John S. Cole and O.R. Mathews, p. 321 , Water relations of soils, by L.B. Olmstead and W.O. Smith, p. 897 , © 2008 by NewsBank, Inc. All rights reserved

Language: English

URL: Volltext  (Deutschlandweit zugänglich)

UID:

Format: Online-Ressource (78 p)

Edition: Online-Ausg. Chester, Vt NewsBank, inc 2009 U.S. Congressional Serial Set, 1817-1980

Series Statement: United States congressional serial set serial set no. 13303

Note: Additional views of Don Edwards, p. 76 , Additional views of Hon. M. Caldwell Butler, p. 78 , Additional views, p. 72 , Additional views, p. 74 , © 2009 by NewsBank, Inc. All rights reserved

Language: English

URL: Volltext  (Deutschlandweit zugänglich)