| |
|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910465224303321 |
|
|
Autore |
Dudley Underwood |
|
|
Titolo |
A guide to elementary number theory [[electronic resource] /] / Underwood Dudley |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
[Washington, D.C.], : Mathematical Association of America, c2009 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (x, 141 pages) : digital, PDF file(s) |
|
|
|
|
|
|
Collana |
|
Dolciani mathematical expositions ; ; no. 41 |
MAA guides ; ; no. 5 |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Number theory |
Electronic books. |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
|
|
|
|
|
Nota di contenuto |
|
Greatest common divisors -- Unique factorization -- Linear Diophantine equations -- Congruences -- Linear congruences -- The Chinese remainder theorem -- Fermat's theorem -- Wilson's theorem -- The number of divisors of an integer -- The sum of the divisors of an integer -- Amicable numbers -- Perfect numbers -- Euler's theorem and function -- Primitive roots and orders -- Decimals -- Quadratic congruences -- Gauss's lemma -- The quadratic reciprocity theorem -- The Jacobi symbol -- Pythagorean triangles -- x⁴ + y⁴ [not equal] z⁴ -- Sums of two squares -- Sums of three squares -- Sums of four squares -- Waring's problem -- Pell's equation -- Continued fractions -- Multigrades -- Carmichael numbers -- Sophie Germain primes -- The group of multiplicative functions -- Bounds for [pi](x) -- The sum of the reciprocals of the primes -- The Riemann hypothesis -- The prime number theorem -- The abc conjecture -- Factorization and testing for primes -- Algebraic and transcendental numbers -- Unsolved problems. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
"A Guide to Elementary Number Theory is a 140-page exposition of the topics considered in a first course in number theory. It is intended for those who may have seen the material before but have half-forgotten it, and also for those who may have misspent their youth by not having a course in number theory and who want to see what it is about without having to wade through traditional texts, some of which approach 500 |
|
|
|
|
|
|
|
|
|
|
|
|
|
pages in length. It will be especially useful to graduate students preparing for qualifying exams. Though Plato did not quite say, "He is unworthy of the name of man who does not know which integers are the sums of two squares," he came close. This guide can make everyone more worthy"--P. [4] of cover. |
|
|
|
|
|
|
2. |
Record Nr. |
UNINA9910583054903321 |
|
|
Titolo |
Shale gas : exploration and environmental and economic impacts / / edited by Anurodh Mohan Dayal, Devleena Mani |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Waltham, MA : , : Elsevier, , 2017 |
|
©2017 |
|
|
|
|
|
|
|
|
|
ISBN |
|
0-12-809535-0 |
0-12-809573-3 |
|
|
|
|
|
|
|
|
Edizione |
[First edition.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (194 pages) : color illustrations, color maps |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Shale gas - Environmental aspects |
Shale gas - Economic aspects |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Shale / A.M. Dayal -- Deposition and diagenesis / A.M. Dayal -- Organic matter in gas shales : origin, evolution, and characterization / D. Mani, M.S. Kalpana, D.J. Patil, A.M. Dayal -- Basin structure, tectonics, and stratigraphy / A.M. Dayal -- Exploration technique. Shallow seismic / A.M. Dayal ; Geochemical exploration / A.M. Dayal ; Petrophysics / A.M. Dayal ; Shale mineralogy / A.K. Varma -- Hydraulic fracturing / A.M. Dayal -- Case studies. Producing countries ; Prospective countries -- Environmental concerns of shale gas production / A.M. Dayal -- Economics of the hydrocarbon industry with a volatile market / A.M. Dayal -- Role of nonconventional shale gas energy in the next century / A.M. Dayal. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
"Shale Gas: Exploration and Economic and Environmental Impacts is a guide to shale gas exploration for geoscientists, the oil and gas |
|
|
|
|
|
|
|
|
|
|
industry, and others with a vested interest in unconventional oil and gas development. Provides wide-ranging coverage of both the environmental and economic impacts of shale gas exploration; Includes case studies that describe the prolific and potential shale gas systems from both producing and prospective countries; Appeals to both those in academia and those in the unconventional gas exploration industry"--Back cover. |
|
|
|
|
|
| |