J e graver (26 Ergebnisse)
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Hardback. Zustand: New. This book is intended as a bridge between high school and college mathematics. The contents have been chosen to demonstrate the relationships among topics from the high school curriculum, including topics that may be part of a fourth year non-calculus mathematics course and first and second year college c…ourses. As the title indicates, the common thread of this work is the linear function. The two parts of the book are devoted, in turn, to: the linear function of a real variable and the linear function of a 2-dimensional vector variable. A second common thread is the visualization of these functions as transformations of 1- or 2-dimensional Euclidean space. The topics, examples, and problems have all been chosen to encourage the integration of the major topics from the high school curriculum. Another feature of this book is that it includes proofs. Specifically, not the formal "two column proofs" often included in the study of geometry in high school, but the more informal, but nevertheless rigorous, step-by-step explanations of why what we believe to be true is indeed true. One of the common complaints of the colleges is that a large majority of incoming freshmen do not have algebra as a usable tool. In this book, algebra is seen to be an essential tool for the further study of mathematics. Algebraic skills are strengthened by constantly using algebra and by seeing the application of algebra in a variety of settings.
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Hardback. Zustand: New. This book is intended as a bridge between high school and college mathematics. The contents have been chosen to demonstrate the relationships among topics from the high school curriculum, including topics that may be part of a fourth year non-calculus mathematics course and first and second year college c…ourses. As the title indicates, the common thread of this work is the linear function. The two parts of the book are devoted, in turn, to: the linear function of a real variable and the linear function of a 2-dimensional vector variable. A second common thread is the visualization of these functions as transformations of 1- or 2-dimensional Euclidean space. The topics, examples, and problems have all been chosen to encourage the integration of the major topics from the high school curriculum. Another feature of this book is that it includes proofs. Specifically, not the formal "two column proofs" often included in the study of geometry in high school, but the more informal, but nevertheless rigorous, step-by-step explanations of why what we believe to be true is indeed true. One of the common complaints of the colleges is that a large majority of incoming freshmen do not have algebra as a usable tool. In this book, algebra is seen to be an essential tool for the further study of mathematics. Algebraic skills are strengthened by constantly using algebra and by seeing the application of algebra in a variety of settings.
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. The body of knowledge has now reached a stage… where approaches toward unification are overdue. To paraphrase Professor Gian-Carlo Rota (Toronto, 1967), 'Combinatorics needs fewer theorems and more theory. ' In this book we are doing two things at the same time: A. We are presenting a unified treatment of much of combinatorics and graph theory. We have constructed a concise algebraically based, but otherwise self-contained theory, which at one time embraces the basic theorems that one normally wishes to prove while giving a common terminology and framework for the develop ment of further more specialized results. B. We are writing a textbook whereby a student of mathematics or a mathematician with another specialty can learn combinatorics and graph theory. We want this learning to be done in a much more unified way than has generally been possible from the existing literature. Our most difficult problem in the course of writing this book has been to keep A and B in balance. On the one hand, this book would be useless as a textbook if certain intuitively appealing, classical combinatorial results were either overlooked or were treated only at a level of abstraction rendering them beyond all recognition.
Sprache: Englisch
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. The body of knowledge has now… reached a stage where approaches toward unification are overdue. To paraphrase Professor Gian-Carlo Rota (Toronto, 1967), 'Combinatorics needs fewer theorems and more theory. ' In this book we are doing two things at the same time: A. We are presenting a unified treatment of much of combinatorics and graph theory. We have constructed a concise algebraically based, but otherwise self-contained theory, which at one time embraces the basic theorems that one normally wishes to prove while giving a common terminology and framework for the develop ment of further more specialized results. B. We are writing a textbook whereby a student of mathematics or a mathematician with another specialty can learn combinatorics and graph theory. We want this learning to be done in a much more unified way than has generally been possible from the existing literature. Our most difficult problem in the course of writing this book has been to keep A and B in balance. On the one hand, this book would be useless as a textbook if certain intuitively appealing, classical combinatorial results were either overlooked or were treated only at a level of abstraction rendering them beyond all recognition. 372 pp. Englisch.
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. The body of kn…owledge has now reached a stage where .
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Combinatorics and graph theory have mushroomed in recent years. Many overlapping or equivalent results have been produced. Some of these are special cases of unformulated or unrecognized general theorems. The body of knowledge has now rea…ched a stage where approaches toward unification are overdue. To paraphrase Professor Gian-Carlo Rota (Toronto, 1967), 'Combinatorics needs fewer theorems and more theory. ' In this book we are doing two things at the same time: A. We are presenting a unified treatment of much of combinatorics and graph theory. We have constructed a concise algebraically based, but otherwise self-contained theory, which at one time embraces the basic theorems that one normally wishes to prove while giving a common terminology and framework for the develop ment of further more specialized results. B. We are writing a textbook whereby a student of mathematics or a mathematician with another specialty can learn combinatorics and graph theory. We want this learning to be done in a much more unified way than has generally been possible from the existing literature. Our most difficult problem in the course of writing this book has been to keep A and B in balance. On the one hand, this book would be useless as a textbook if certain intuitively appealing, classical combinatorial results were either overlooked or were treated only at a level of abstraction rendering them beyond all recognition.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 372 pp. Englisch.
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Taschenbuch. Zustand: Neu. Combinatorics with Emphasis on the Theory of Graphs | J. E. Graver (u. a.) | Taschenbuch | Graduate Texts in Mathematics | xvi | Englisch | 2011 | Springer | EAN 9781461299165 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springe…r[dot]com | Anbieter: preigu Print on Demand.
