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Author : Mark Hoyt Ingraham
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.:/5 (89 download)
Download or read book A Modification of Peano's Postulates for Positive Integers written by Mark Hoyt Ingraham and published by . This book was released on 1922 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ethan D. Bloch
Publisher : Springer Science & Business Media
ISBN 13 : 0387721762
Total Pages : 577 pages
Book Rating : 4.3/5 (877 download)
Download or read book The Real Numbers and Real Analysis written by Ethan D. Bloch and published by Springer Science & Business Media. This book was released on 2011-05-27 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a rigorous, detailed introduction to real analysis that presents the fundamentals with clear exposition and carefully written definitions, theorems, and proofs. It is organized in a distinctive, flexible way that would make it equally appropriate to undergraduate mathematics majors who want to continue in mathematics, and to future mathematics teachers who want to understand the theory behind calculus. The Real Numbers and Real Analysis will serve as an excellent one-semester text for undergraduates majoring in mathematics, and for students in mathematics education who want a thorough understanding of the theory behind the real number system and calculus.
Author :
Publisher :
ISBN 13 :
Total Pages : 592 pages
Book Rating : 4.0/5 ( download)
Download or read book Bulletin (new Series) of the American Mathematical Society written by and published by . This book was released on 1905 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 1032 pages
Book Rating : 4.F/5 ( download)
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1905 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : American Association for the Advancement of Science
Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.F/5 ( download)
Download or read book Preliminary Announcements and Daily Program of the Association written by American Association for the Advancement of Science and published by . This book was released on 1921 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Seth Warner
Publisher : Courier Corporation
ISBN 13 : 0486137090
Total Pages : 852 pages
Book Rating : 4.4/5 (861 download)
Download or read book Modern Algebra written by Seth Warner and published by Courier Corporation. This book was released on 2012-08-29 with total page 852 pages. Available in PDF, EPUB and Kindle. Book excerpt: Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.:/5 (321 download)
Download or read book Transactions of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1903 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.
Author : Alfred North Whitehead
Publisher :
ISBN 13 :
Total Pages : 688 pages
Book Rating : 4.3/5 (91 download)
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Terence Tao
Publisher : Springer
ISBN 13 : 9811017891
Total Pages : 366 pages
Book Rating : 4.8/5 (11 download)
Download or read book Analysis I written by Terence Tao and published by Springer. This book was released on 2016-08-29 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.
Author : Jason H. Goodfriend
Publisher : Jones & Bartlett Learning
ISBN 13 : 9780763727338
Total Pages : 346 pages
Book Rating : 4.7/5 (273 download)
Download or read book A Gateway to Higher Mathematics written by Jason H. Goodfriend and published by Jones & Bartlett Learning. This book was released on 2005 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Gateway to Higher Mathematics integrates the process of teaching students how to do proofs into the framework of displaying the development of the real number system. The text eases the students into learning how to construct proofs, while preparing students how to cope with the type of proofs encountered in the higher-level courses of abstract algebra, analysis, and number theory. After using this text, the students will not only know how to read and construct proofs, they will understand much about the basic building blocks of mathematics. The text is designed so that the professor can choose the topics to be emphasized, while leaving the remainder as a reference for the students.
Author : H. Kennedy
Publisher : Springer Science & Business Media
ISBN 13 : 9400989849
Total Pages : 238 pages
Book Rating : 4.4/5 (9 download)
Download or read book Peano written by H. Kennedy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: All students of mathematics know of Peano's postulates for the natural numbers and his famous space-filling curve, yet their knowledge often stops there. Part of the reason is that there has not until now been a full-scale study of his life and works. This must surely be surprising, when one realizes the length of his academic career (over 50 years) and the extent of his publica tions (over 200) in a wide variety of fields, many of which had immediate and long-term effects on the development of modern mathematics. A study of his life seems long overdue. It appeared to me that the most likely person to write a biography of Peano would be his devoted disciple Ugo Cassina, with whom I studied at the University of Milan in 1957-58. I wrote to Professor Cassina on 29 October, 1963, inquiring if he planned to write the biography, and I offered him my assistance, since I hoped to return to Italy for a year. He replied on 28 November, 1963, suggesting that we collaborate, meaning by this that I would write the biography, in English, using his material and advice. I gladly agreed to this suggestion, but work on the project had hardly begun when Professor Cassina died unexpectedly on 5 October, 1964. I then decided to continue the project on my own. I spent the academic year 1966-67 in Turin; completion of the book took ten years.
Author : T. W. Körner
Publisher : Cambridge University Press
ISBN 13 : 1108775942
Total Pages : 273 pages
Book Rating : 4.1/5 (87 download)
Download or read book Where Do Numbers Come From? written by T. W. Körner and published by Cambridge University Press. This book was released on 2019-10-24 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why do we need the real numbers? How should we construct them? These questions arose in the nineteenth century, along with the ideas and techniques needed to address them. Nowadays it is commonplace for apprentice mathematicians to hear 'we shall assume the standard properties of the real numbers' as part of their training. But exactly what are those properties? And why can we assume them? This book is clearly and entertainingly written for those students, with historical asides and exercises to foster understanding. Starting with the natural (counting) numbers and then looking at the rational numbers (fractions) and negative numbers, the author builds to a careful construction of the real numbers followed by the complex numbers, leaving the reader fully equipped with all the number systems required by modern mathematical analysis. Additional chapters on polynomials and quarternions provide further context for any reader wanting to delve deeper.
Author : Elena Anne Marchisotto
Publisher : Springer Science & Business Media
ISBN 13 : 0817646035
Total Pages : 508 pages
Book Rating : 4.8/5 (176 download)
Download or read book The Legacy of Mario Pieri in Geometry and Arithmetic written by Elena Anne Marchisotto and published by Springer Science & Business Media. This book was released on 2007-12-05 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in a series of three volumes that comprehensively examine Mario Pieri’s life, mathematical work and influence. The book introduces readers to Pieri’s career and his studies in foundations, from both historical and modern viewpoints. Included in this volume are the first English translations, along with analyses, of two of his most important axiomatizations — one in arithmetic and one in geometry. The book combines an engaging exposition, little-known historical notes, exhaustive references and an excellent index. And yet the book requires no specialized experience in mathematical logic or the foundations of geometry.
Author : Julia Robinson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821805756
Total Pages : 388 pages
Book Rating : 4.8/5 (57 download)
Download or read book The Collected Works of Julia Robinson written by Julia Robinson and published by American Mathematical Soc.. This book was released on 1996 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents all the published works -- spanning more than thirty years -- of Julia Bowman Robinson. These papers constitute important contributions to the theory of effectively calculable functions and to its applications. Outstanding among the latter are Robinson's proof of the effective unsolvability of the decision problem for the rational number field (and, consequently of that for the first-order theory of all fields), and her work that provided the central step toward the negative solution of Hilbert's Tenth Problem. These results provide upper bound for what one can hope to obtain in the way of positive solutions to the decision problem for special classes of fields and for special classes of diophantine equations, respectively. Besides thematic unity, Robinson's papers are distinguished by their clarity of purpose and accessibility to non-specialists as well as specialists. The volume also includes an extensive biographical memoir on the life and work of Robinson, who will be remembered not only for her distinctive and vital contributions, but also as the first woman to be elected to the mathematical section of the National Academy of Sciences and as the first woman to be President of the American Mathematical Society.
Author : Alonzo Church
Publisher : Princeton University Press
ISBN 13 : 1400881455
Total Pages : 392 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Mathematical Logic (PMS-13), Volume 13 written by Alonzo Church and published by Princeton University Press. This book was released on 2016-03-02 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979 At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Author : Dr. V.K. Raman
Publisher : Goyal Brothers Prakashan
ISBN 13 : 9388788486
Total Pages : 304 pages
Book Rating : 4.3/5 (887 download)
Download or read book Goyal’s ICSE IIT Foundation Course Mathematics for Class 8 written by Dr. V.K. Raman and published by Goyal Brothers Prakashan. This book was released on 2019-04-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goyal Brothers Prakashan
Author : Alonzo Church
Publisher :
ISBN 13 :
Total Pages : 476 pages
Book Rating : 4.:/5 (36 download)
Download or read book The Journal of Symbolic Logic written by Alonzo Church and published by . This book was released on 1957 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes lists of members.
