1970, ISBN: 0442028636

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics stud… Mehr…

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics studied in schools and used by most engineers or scientists is essentially eighteenth century in spirit, and those steeped in it have difficulty in changing to the outlook of contemporary mathematicians. The aim of this book is to assist those who want to cross this great gulf. It will help those preparing for a university education and their teachers to get the feel of what university mathematics is all about, and will therefore also suit first year students and lecturers in mathematics at universities and colleges of education. In the United States the book is relevant for teachers at junior college, community college, and liberal arts college level. The book assumes that the reader has a knowledge of elementary classical mathematics — calculus, arithmetic, algebra and analytical geometry. These apparently separate topics are expressed in the unified language of sets and functions, and the reader is then led on to more advanced ideas. For example, arithmetic is developed through Euclidean rings with norm, and elementary algebra leads naturally to the study of groups and vector spaces: geometry is pursued through vectors, projective geometry and a survey of topology: and the extended treatment of calculus up to functions of several variables and their differentials uses the ideas of algebra and topology. Attention is paid to mathematical logic, with discussion of the propositional calculus. Boolean algebras, the axiom of choice, Zorn's lemma, and a sketch of the proof of Gödel's theorem: and in the final part a chapter gives an introduction to the language of categories and functors. The authors' special approach ensures that when an idea is difficult, it is met several times and in different ways. They raise questions of opinion which are not traditionally regarded as a part of mathematical instruction, since one of their main purposes is to encourage originality of thought. They emphasize the importance of using mathematical language to express subtle notions clearly, and show how this language unifies modern thought in diverse areas of the subject. The reader's comprehension is reinforced by excellent and varied exercises in each chapter. H. B. Griffiths is a Professor of Pure Mathematics at the University of Southampton. He is a graduate of Manchester University, and having received his Ph.D. from there in 1951, he was an assistant in the Mathematics department at the University of Aberdeen for two years, before being appointed lecturer in mathematics at the University of Bristol. Before taking up his present position, in 1964, Professor Griffiths was Senior Lecturer in Pure Mathematics at the University of Birmingham. He was a member of the Institute for Advanced Study in Princeton, New Jersey from 1956 to 1958, and a visiting member of the Courant Institute for Mathematical Sciences at New York University, 1963-1964. Among the learned journals to which he has contributed are: Proceedings of the London Mathematical Society, Transactions of the American Mathematical Society, Proceedings of the Cambridge Philosophical Society, Acta Mathematica, and Mathematics Teaching. Professor Griffiths is at present writing, with Vernon Armitage, The Companion to Advanced Mathematics in the Schools Mathematics Project (Cambridge University Press). P. J. Hilton is Professor of Mathematics at Cornell University. He is a graduate of Oxford University and was a member of the faculty of the Universities of Cambridge and Manchester. Before taking up his present position, in 1962, he was Mason Professor of Pure Mathematics at Birmingham University. In 1966-67 he was Visiting Professor at Eidg. Technische Hochschule in Zurich, and the following year Visiting Professor at the Courant Institute of Mathematical Sciences. He is at present Chairman of the National Research Council Committee on Postgraduate Education and Training, and was Co-chairman of the Cambridge Conference on School Mathematics (1963-68). He is a member of the Teacher Training Panel of the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America. Professor Hilton has contributed to many mathematical research journals in Europe, North and South America and is the author of: Introduction to Homotopy Theory (1953), Homology Theory (with S. Wylie, 1960), and Homotopy Theory and Duality (1965). He is the editor of Studies in Modern Topology (1968), DE, [SC: 4.50], leichte Gebrauchsspuren, gewerbliches Angebot, 637, [GW: 1327g], Banküberweisung, PayPal, Selbstabholung und Barzahlung, Internationaler Versand, [CT: Naturwissenschaft/Mathematik / Mathematik allgemein]<

1970, ISBN: 0442028636

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics stud… Mehr…

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics studied in schools and used by most engineers or scientists is essentially eighteenth century in spirit, and those steeped in it have difficulty in changing to the outlook of contemporary mathematicians. The aim of this book is to assist those who want to cross this great gulf. It will help those preparing for a university education and their teachers to get the feel of what university mathematics is all about, and will therefore also suit first year students and lecturers in mathematics at universities and colleges of education. In the United States the book is relevant for teachers at junior college, community college, and liberal arts college level. The book assumes that the reader has a knowledge of elementary classical mathematics — calculus, arithmetic, algebra and analytical geometry. These apparently separate topics are expressed in the unified language of sets and functions, and the reader is then led on to more advanced ideas. For example, arithmetic is developed through Euclidean rings with norm, and elementary algebra leads naturally to the study of groups and vector spaces: geometry is pursued through vectors, projective geometry and a survey of topology: and the extended treatment of calculus up to functions of several variables and their differentials uses the ideas of algebra and topology. Attention is paid to mathematical logic, with discussion of the propositional calculus. Boolean algebras, the axiom of choice, Zorn's lemma, and a sketch of the proof of Gödel's theorem: and in the final part a chapter gives an introduction to the language of categories and functors. The authors' special approach ensures that when an idea is difficult, it is met several times and in different ways. They raise questions of opinion which are not traditionally regarded as a part of mathematical instruction, since one of their main purposes is to encourage originality of thought. They emphasize the importance of using mathematical language to express subtle notions clearly, and show how this language unifies modern thought in diverse areas of the subject. The reader's comprehension is reinforced by excellent and varied exercises in each chapter. H. B. Griffiths is a Professor of Pure Mathematics at the University of Southampton. He is a graduate of Manchester University, and having received his Ph.D. from there in 1951, he was an assistant in the Mathematics department at the University of Aberdeen for two years, before being appointed lecturer in mathematics at the University of Bristol. Before taking up his present position, in 1964, Professor Griffiths was Senior Lecturer in Pure Mathematics at the University of Birmingham. He was a member of the Institute for Advanced Study in Princeton, New Jersey from 1956 to 1958, and a visiting member of the Courant Institute for Mathematical Sciences at New York University, 1963-1964. Among the learned journals to which he has contributed are: Proceedings of the London Mathematical Society, Transactions of the American Mathematical Society, Proceedings of the Cambridge Philosophical Society, Acta Mathematica, and Mathematics Teaching. Professor Griffiths is at present writing, with Vernon Armitage, The Companion to Advanced Mathematics in the Schools Mathematics Project (Cambridge University Press). P. J. Hilton is Professor of Mathematics at Cornell University. He is a graduate of Oxford University and was a member of the faculty of the Universities of Cambridge and Manchester. Before taking up his present position, in 1962, he was Mason Professor of Pure Mathematics at Birmingham University. In 1966-67 he was Visiting Professor at Eidg. Technische Hochschule in Zurich, and the following year Visiting Professor at the Courant Institute of Mathematical Sciences. He is at present Chairman of the National Research Council Committee on Postgraduate Education and Training, and was Co-chairman of the Cambridge Conference on School Mathematics (1963-68). He is a member of the Teacher Training Panel of the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America. Professor Hilton has contributed to many mathematical research journals in Europe, North and South America and is the author of: Introduction to Homotopy Theory (1953), Homology Theory (with S. Wylie, 1960), and Homotopy Theory and Duality (1965). He is the editor of Studies in Modern Topology (1968), DE, [SC: 4.50], leichte Gebrauchsspuren, gewerbliches Angebot, 637, [GW: 1327g], Banküberweisung, PayPal, Selbstabholung und Barzahlung, Internationaler Versand<

1970, ISBN: 0442028636

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics stud… Mehr…

[ED: Taschenbuch], [PU: Van Nostrand Reinhold], Zustand siehe Bild/Bilder. Zusätzlich: Ecken und Kanten leicht bestoßen. Seiten und Buchschnitt leicht abgedunkelt. THE mathematics studied in schools and used by most engineers or scientists is essentially eighteenth century in spirit, and those steeped in it have difficulty in changing to the outlook of contemporary mathematicians. The aim of this book is to assist those who want to cross this great gulf. It will help those preparing for a university education and their teachers to get the feel of what university mathematics is all about, and will therefore also suit first year students and lecturers in mathematics at universities and colleges of education. In the United States the book is relevant for teachers at junior college, community college, and liberal arts college level. The book assumes that the reader has a knowledge of elementary classical mathematics — calculus, arithmetic, algebra and analytical geometry. These apparently separate topics are expressed in the unified language of sets and functions, and the reader is then led on to more advanced ideas. For example, arithmetic is developed through Euclidean rings with norm, and elementary algebra leads naturally to the study of groups and vector spaces: geometry is pursued through vectors, projective geometry and a survey of topology: and the extended treatment of calculus up to functions of several variables and their differentials uses the ideas of algebra and topology. Attention is paid to mathematical logic, with discussion of the propositional calculus. Boolean algebras, the axiom of choice, Zorn's lemma, and a sketch of the proof of Gödel's theorem: and in the final part a chapter gives an introduction to the language of categories and functors. The authors' special approach ensures that when an idea is difficult, it is met several times and in different ways. They raise questions of opinion which are not traditionally regarded as a part of mathematical instruction, since one of their main purposes is to encourage originality of thought. They emphasize the importance of using mathematical language to express subtle notions clearly, and show how this language unifies modern thought in diverse areas of the subject. The reader's comprehension is reinforced by excellent and varied exercises in each chapter. H. B. Griffiths is a Professor of Pure Mathematics at the University of Southampton. He is a graduate of Manchester University, and having received his Ph.D. from there in 1951, he was an assistant in the Mathematics department at the University of Aberdeen for two years, before being appointed lecturer in mathematics at the University of Bristol. Before taking up his present position, in 1964, Professor Griffiths was Senior Lecturer in Pure Mathematics at the University of Birmingham. He was a member of the Institute for Advanced Study in Princeton, New Jersey from 1956 to 1958, and a visiting member of the Courant Institute for Mathematical Sciences at New York University, 1963-1964. Among the learned journals to which he has contributed are: Proceedings of the London Mathematical Society, Transactions of the American Mathematical Society, Proceedings of the Cambridge Philosophical Society, Acta Mathematica, and Mathematics Teaching. Professor Griffiths is at present writing, with Vernon Armitage, The Companion to Advanced Mathematics in the Schools Mathematics Project (Cambridge University Press). P. J. Hilton is Professor of Mathematics at Cornell University. He is a graduate of Oxford University and was a member of the faculty of the Universities of Cambridge and Manchester. Before taking up his present position, in 1962, he was Mason Professor of Pure Mathematics at Birmingham University. In 1966-67 he was Visiting Professor at Eidg. Technische Hochschule in Zurich, and the following year Visiting Professor at the Courant Institute of Mathematical Sciences. He is at present Chairman of the National Research Council Committee on Postgraduate Education and Training, and was Co-chairman of the Cambridge Conference on School Mathematics (1963-68). He is a member of the Teacher Training Panel of the Committee on the Undergraduate Program in Mathematics of the Mathematical Association of America. Professor Hilton has contributed to many mathematical research journals in Europe, North and South America and is the author of: Introduction to Homotopy Theory (1953), Homology Theory (with S. Wylie, 1960), and Homotopy Theory and Duality (1965). He is the editor of Studies in Modern Topology (1968), DE, leichte Gebrauchsspuren, gewerbliches Angebot, 637, [GW: 1327g], Banküberweisung, PayPal, Selbstabholung und Barzahlung, Internationaler Versand<

1971, ISBN: 9780442028633

Van Nostrand Reinhold Inc.,U.S. Paperback, Auflage: New edition, 620 Seiten, Publiziert: 1971-08-19T00:00:01Z, Produktgruppe: Book, Verkaufsrang: 4112912, Higher Education, Education, Mat… Mehr…

Van Nostrand Reinhold Inc.,U.S. Paperback, Auflage: New edition, 620 Seiten, Publiziert: 1971-08-19T00:00:01Z, Produktgruppe: Book, Verkaufsrang: 4112912, Higher Education, Education, Mathematics, Science, Nature & Maths, Subjects, Books, Van Nostrand Reinhold Inc.,U.S., 1971<

1971, ISBN: 0442028636

[EAN: 9780442028633], Gebraucht, guter Zustand, [PU: Van Nostrand Reinhold Co], Type: Book One inch closed tear to top left front cover., Books