03464nam 2200589 450 991020882100332120220505212544.01-118-40072-01-118-40075-51-118-40074-7(CKB)4330000000000542(DLC) 2013009183(Au-PeEL)EBL1771572(CaPaEBR)ebr10915810(OCoLC)829937241(CaSebORM)9781118390184(MiAaPQ)EBC1771572(PPN)185771939(EXLCZ)99433000000000054220140901h20132013 uy 0engurcnu||||||||rdacontentrdamediardacarrierPrimes of the form = x² + ny² Fermat, class field theory, and complex multiplication /David A. CoxSecond edition.Hoboken, New Jersey :Wiley,2013.©20131 online resource (419 pages) illustrations, tablesPure and Applied Mathematics"Originally published: Primes of the form x² + ny², 1989"--Title page verso.1-118-39018-0 1-322-07828-9 Includes bibliographical references and index.From Fermat to Gauss -- Class field theory -- Complex multiplication -- Additional topics.An exciting approach to the history and mathematics of number theory ". . . the author's style is totally lucid and very easy to read . . .the result is indeed a wonderful story." – Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x 2 + ny 2 details the history behind how Pierre de Fermat's work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x 2 + ny 2 , Second Edition focuses on addressing the question of when a prime p is of the form x 2 + ny 2 , which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: A well-motivated introduction to the classical formulation of class field theory Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations An elementary treatment of quadratic forms and genus theory Simultaneous treatment of elementary and advanced aspects of number theory New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x 2 + ny 2 , Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.Pure and applied mathematics.Primes of the form = x2 + ny2Numbers, PrimeMathematicsNumbers, Prime.Mathematics.512.7/23Cox David A.58032MiAaPQMiAaPQMiAaPQBOOK9910208821003321Primes of the form = x² + ny²2837552UNINA03611nam 22005895 450 991086524340332120240607125446.09783031601712(electronic bk.)978303160170510.1007/978-3-031-60171-2(MiAaPQ)EBC31458828(Au-PeEL)EBL31458828(CKB)32249733600041(MiAaPQ)EBC31461398(Au-PeEL)EBL31461398(DE-He213)978-3-031-60171-2(EXLCZ)993224973360004120240607d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierQuantum Mechanics for Material Science An Introduction /by Gianluca Stefanucci1st ed. 2024.Cham :Springer Nature Switzerland :Imprint: Springer,2024.1 online resource (241 pages)Print version: Stefanucci, Gianluca Quantum Mechanics for Material Science Cham : Springer,c2024 9783031601705 Chapter 1. The fundamental concepts of quantum mechanics -- Chapter 2. Quantum systems in finite-dimensional Hilbert spaces 35 -- Chapter 3. A particle in one dimension -- Chapter 4. A particle in three dimensions -- Chapter 5. Spin and angular momentum composition -- Chapter 6. Approximation methods -- Appendix A: Dirac delta: definition and properties -- Appendix B: Levi-Civita tensor: definition and properties -- Appendix C: Euler range: definition and properties.This book is based on the course "Elements of Theoretical Physics," which the author has been teaching at the University of Rome Tor Vergata since 2017. It serves as an introduction to quantum mechanics, providing students with essential concepts and tools for future lessons, while still maintaining a comprehensive approach without relying heavily on the level of abstraction and mathematical rigor typically found in Physics programs. Understanding this book only requires knowledge of the mathematical concepts taught in the first two years of basic courses. The bachelor's degree program in Materials Science aims to train students with an interdisciplinary background in physics, chemistry, and engineering. While the study of quantum mechanics is essential, the same level of depth, abstraction, and mathematical rigor as in a Physics degree program is not a requirement. Unfortunately, most textbooks on Quantum Mechanics are geared toward Physics students, making it difficult to find suitable resources for Materials Science students. To make learning easier, the author has chosen not to refer students to various textbooks for different topics. Instead, he has created handouts that have evolved into a condensed textbook on quantum mechanics specifically tailored to the needs of the Materials Science program.Quantum theoryMaterials scienceAtomsMoleculesQuantum PhysicsMaterials ScienceAtoms and molecules in external fieldsQuantum theory.Materials science.Atoms.Molecules.Quantum Physics.Materials Science.Atoms and molecules in external fields.530.1202462011Stefanucci Gianluca520733MiAaPQMiAaPQMiAaPQ9910865243403321Quantum Mechanics for Material Science4169427UNINA02539nam2 22004333i 450 UM1E00781020251003044430.0e.I. iau- esq. Ps(b (3) 1788 (R)fei20241007d1788 ||||0itac50 baitaitz01i xxxe z01nz01ncRDAcarrierˆ2: ‰Tomo 2. che contiene 36. dialoghi sopra i precetti della chiesa, sopra alcuni sacramenti, e sopra i contrattiPadovanella stamperia del Seminario1788XII, 420 pSegn.: a⁶ A-3E⁴ 3F⁶v. 2. - Sul frontespizio timbro di possesso (Ex Libris Domenico Demarco). - Precedente segnatura di collocazione B 7IT-BN0095 , DEMARCO FONDO RARI C 50001UM1E0077972001 Opere ascetiche e morali di monsignor f. Niccola vescovo Molinari cappuccino da Lagonegro ...2Nicola : da LagonegroNAPV0817280701357893Tipografia del Seminario <Padova>MILV178491650Molinari, Giuseppe Egidio PaoloBVEV207612Nicola : da LagonegroMolinari, Nicola : da LagonegroBVEV207613Nicola : da LagonegroStamperia del SeminarioCFIV299190Tipografia del Seminario <Padova>Typographia seminarii PataviniCFIV315975Tipografia del Seminario <Padova>Nel Seminario <Padova>NAPV106037Tipografia del Seminario <Padova>Typis Seminarii <Padova>SBNV003884Tipografia del Seminario <Padova>Stamperia Seminario <Padova>SBNV004290Tipografia del Seminario <Padova>Typographia seminarii <Padova>SBNV005109Tipografia del Seminario <Padova>Tipografia del seminario di PadovaVEAV046352Tipografia del Seminario <Padova>Stamperia del Seminario <Padova>VEAV050641Tipografia del Seminario <Padova>ITIT-00000020241007IT-BN0095 UM1E007810Biblioteca Centralizzata di Ateneo1 esemplare, v. 1-5 01DEMARCO FONDO RARI C 50 01 0000135215 VMA (0002 v. 2. - Sul frontespizio timbro di possesso (Ex Libris Domenico Demarco). - Precedente segnatura di collocazione B 7B 2024070920240709 01Tomo 2. che contiene 36. dialoghi sopra i precetti della chiesa, sopra alcuni sacramenti, e sopra i contratti4169949UNISANNIO