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1. |
Record Nr. |
UNINA9910972806903321 |
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Autore |
Effinger Gove W. |
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Titolo |
An elementary transition to abstract mathematics / / Gove Effinger and Gary L. Mullen |
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Pubbl/distr/stampa |
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Boca Raton : , : CRC Press, Taylor & Francis Group, , 2020 |
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ISBN |
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1-000-70227-8 |
1-000-70181-6 |
0-429-32481-2 |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (x, 282 pages) : illustrations |
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Collana |
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Disciplina |
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Soggetti |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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A look back: precalculus math -- A look back: calculus -- About proofs and proof strategies -- Mathematical induction -- The well-ordering principle -- Sets -- Equivalence relations -- Functions -- Cardinality of sets -- Permutations -- Complex numbers -- Matrices and sets with algebraic structure -- Divisibility in Z and number theory -- Primes and unique factorization -- Congruences and the finite sets Zn -- Solving congruences -- Fermat's theorem -- Diffie-Hellman key exchange -- Euler's formula and Euler's theorem -- RSA cryptographic system -- Groups: definition and examples -- Groups: basic properties -- Groups: subgroups -- Groups: cosets -- Groups: Lagrange's theorem -- Rings -- Subrings and ideals -- Integral domains -- Fields -- Vector spaces -- Vector space properties -- Subspaces of vector spaces -- Polynomials -- Polynomials: unique factorization -- Polynomials over the rational, real and complex numbers |
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Sommario/riassunto |
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An Elementary Transition to Abstract Mathematics will help students move from introductory courses to those where rigor and proof play a much greater role. The text is organized into five basic parts: the first looks back on selected topics from pre-calculus and calculus, treating them more rigorously, and it covers various proof techniques; the second part covers induction, sets, functions, cardinality, complex |
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numbers, permutations, and matrices; the third part introduces basic number theory including applications to cryptography; the fourth part introduces key objects from abstract algebra; and the final part focuses on polynomials. Features: The material is presented in many short chapters, so that one concept at a time can be absorbed by the student. Two "looking back" chapters at the outset (pre-calculus and calculus) are designed to start the student's transition by working with familiar concepts. Many examples of every concept are given to make the material as concrete as possible and to emphasize the importance of searching for patterns. A conversational writing style is employed throughout in an effort to encourage active learning on the part of the student. |
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2. |
Record Nr. |
UNINA9910961344403321 |
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Autore |
Hernández Marie Theresa <1952-> |
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Titolo |
Delirio--the fantastic, the demonic, and the reel : the buried history of Nuevo Leon / / Marie Theresa Hernandez |
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Pubbl/distr/stampa |
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Austin, : University of Texas Press Austin, 2002 |
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ISBN |
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Edizione |
[1st ed.] |
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Descrizione fisica |
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1 online resource (321 p.) |
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Disciplina |
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Soggetti |
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Ethnology - Mexico - Nuevo Leon (State) |
Folklore - Mexico - Nuevo León (State) |
Indians of Mexico - Mexico - Nuevo Leon (State) - History |
Nuevo León (Mexico : State) History |
Nuevo León (Mexico : State) Social life and customs |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Bibliographic Level Mode of Issuance: Monograph |
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Nota di bibliografia |
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Includes bibliographical references (p. 293-299) and index. |
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Nota di contenuto |
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Frontmatter -- Contents -- List of Illustrations -- Acknowledgments -- Introduction -- PART ONE. HISTORY -- CHAPTER I. Don Gregorio Tijerina: General Bravo, Nuevo León -- CHAPTER II. Before and After History: Los Chichimeca y Carvajal -- PART TWO. LANDSCAPE AND NARRATIVE -- CHAPTER III. Televisa: Finding Alvarado -- CHAPTER IV. |
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Spaces In-between -- PART THREE. ETHNOGRAPHIC IMAGINARIES -- CHAPTER V. A Place of Origins -- CHAPTER VI. The Mystic and the Fantastic -- PART FOUR. LOCATIONS OF LE RÉEL -- CHAPTER VII. The Discourse of Illusion: Los Sefardíes -- CHAPTER VIII. Inquisition: The Present -- CHAPTER IX. La Sultana del Norte: The Second Nuevo Reino -- CHAPTER X. La Joya: The House on Arreola -- CHAPTER XI. Conclusion: Delirio and the Finality of Pragmatic Connections-a Paradox -- Notes -- Selected Bibliography -- Index |
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Sommario/riassunto |
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Striking, inexplicable stories circulate among the people of Nuevo León in northern Mexico. Stories of conversos (converted Jews) who fled the Inquisition in Spain and became fabulously wealthy in Mexico. Stories of women and children buried in walls and under houses. Stories of an entire, secret city hidden under modern-day Monterrey. All these stories have no place or corroboration in the official histories of Nuevo León. In this pioneering ethnography, Marie Theresa Hernández explores how the folktales of Nuevo León encode aspects of Nuevolenese identity that have been lost, repressed, or fetishized in "legitimate" histories of the region. She focuses particularly on stories regarding three groups: the Sephardic Jews said to be the "original" settlers of the region, the "disappeared" indigenous population, and the supposed "barbaric" society that persists in modern Nuevo León. Hernández's explorations into these stories uncover the region's complicated history, as well as the problematic and often fascinating relationship between history and folklore, between officially accepted "facts" and "fictions" that many Nuevoleneses believe as truth. |
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