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Zustand: acceptable. The item is very worn but is perfectly usable. Signs of wear can include aesthetic issues such as scratches, dents, worn and creased covers, folded page corners and minor liquid stains. All pages and the cover are intact, but the dust cover may be missing. Pages may include moderate to heavy amount of notes…and highlighting, but the text is not obscured or unreadable. Page edges may have foxing age related spots and browning . May NOT include discs, access code or other supplemental materials.
Sprache: Englisch
Verlag: Springer, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Paperback. Zustand: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less.
- Softcover
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paperback. Zustand: Good. Paperback. Cover in good condition. Spine is worn but tight. Pages are mostly clean but there is some highlighting. Ships from Friends bookstore to benefit Beaverton (Oregon) library.
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Hardcover. Zustand: Very Good. No Jacket. 1st Edition. In a hardcover with green titles to spine and white titles to front. No dust jacket. 445 pp. The book is in very good condition. There is minor shelf-wear to the extremities of the cover, the top corner of the back board is bruised and the spine lightly tanned. The binding i…s tight. There is a number and price to the top corner of the front paste down. Otherwise the pages are clean and unmarked.
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hardcover. Zustand: Good. Study copy only. Has moderate edge wear. Clean text, solid binding.
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Zustand: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,850grams, ISBN:97808…17638405.
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Sprache: Englisch
Verlag: Springer, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
Verlag: Springer-Verlag GmbH, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
Verlag: Springer-Verlag GmbH, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Hardcover. Zustand: Sehr gut. 421 p., with numerous figures, Very good condition. Sprache: Englisch Gewicht in Gramm: 910.
Sprache: Englisch
Verlag: Springer-Verlag New York Inc., US, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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8°, gelber OPp mit Rückentitel. XVII, 424 Seiten: Ill., graph. Darst., Gutes Exemplar Sprache: Englisch Gewicht in Gramm: 788.
Sprache: Englisch
Verlag: Springer, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
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Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Hardcover. Zustand: new. Hardcover. Proofs and Fundamentals: A First Course in Abstract Mathematics 2nd edition is designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serve…s as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations ofset theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the SchroederBernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proof Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Sprache: Englisch
Verlag: Springer, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Sprache: Englisch
Verlag: Springer Verlag, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Hardcover. Zustand: Brand New. 2nd edition. 359 pages. 9.25x6.25x1.00 inches. In Stock.
Sprache: Englisch
Verlag: Springer-Verlag Gmbh Feb 2011, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
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Buch. Zustand: Neu. Neuware -'Proofs and Fundamentals: A First Course in Abstract Mathematics' 2nd edition is designed as a 'transition' course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as…a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations of set theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo- Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder-Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been correc 359 pp. Englisch.
Sprache: Englisch
Verlag: Springer-Verlag Gmbh Feb 2011, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
- Hardcover
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Buch. Zustand: Neu. Neuware -'Proofs and Fundamentals: A First Course in Abstract Mathematics' 2nd edition is designed as a 'transition' course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality. The text serves as…a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis. This 3-part work carefully balances Proofs, Fundamentals, and Extras. Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences. A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations ofset theory has been added at the end of the chapter about sets. This section includes a very informal discussion of the Zermelo- Fraenkel Axioms for set theory. We do not make use of these axioms subsequently in the text, but it is valuable for any mathematician to be aware that an axiomatic basis for set theory exists. Also included in this new section is a slightly expanded discussion of the Axiom of Choice, and new discussion of Zorn's Lemma, which is used later in the text. 2) The chapter about the cardinality of sets has been rearranged and expanded. There is a new section at the start of the chapter that summarizes various properties of the set of natural numbers; these properties play important roles subsequently in the chapter. The sections on induction and recursion have been slightly expanded, and have been relocated to an earlier place in the chapter (following the new section), both because they are more concrete than the material found in the other sections of the chapter, and because ideas from the sections on induction and recursion are used in the other sections. Next comes the section on the cardinality of sets (which was originally the first section of the chapter); this section gained proofs of the Schroeder-Bernstein theorem and the Trichotomy Law for Sets, and lost most of the material about finite and countable sets, which has now been moved to a new section devoted to those two types of sets. The chapter concludes with the section on the cardinality of the number systems. 3) The chapter on the construction of the natural numbers, integers and rational numbers from the Peano Postulates was removed entirely. That material was originally included to provide the needed background about the number systems, particularly for the discussion of the cardinality of sets, but it was always somewhat out of place given the level and scope of this text. The background material about the natural numbers needed for the cardinality of sets has now been summarized in a new section at the start of that chapter, making the chapter both self-contained and more accessible than it previously was. 4) The section on families of sets has been thoroughly revised, with the focus being on families of sets in general, not necessarily thought of as indexed. 5) A new section about the convergence of sequences has been added to the chapter on selected topics. This new section, which treats a topic from real analysis, adds some diversity to the chapter, which had hitherto contained selected topics of only an algebraic or combinatorial nature. 6) A new section called ``You Are the Professor'' has been added to the end of the last chapter. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the opportunity to solidify her facility for writing proofs by critiquing these submissions as if she were the instructor for the course. 7) All known errors have been correct 358 pp. Englisch.
Sprache: Englisch
Verlag: Springer, 2011
Serie: Undergraduate Texts in Mathematics, Buch 46 von 170. Buch 46 von 170 - Undergraduate Texts in Mathematics
- Hardcover
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Zustand: As New. Unread book in perfect condition.
