Exterior Calculus

• Record Nr.: UNINA9910794504103321
• Autore: Polanco Carlos
• Pubbl/distr/stampa: Singapore : , : Bentham Science Publishers, , 2021; ©2021
• ISBN: 981-4998-78-8
• Descrizione fisica: 1 online resource (141 pages)
• Disciplina: 515
• Soggetti: Calculus
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Nota di contenuto: Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index.
• Sommario/riassunto: Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations.

Organic synthesis using samarium diiodide : a practical guide / / David J. Procter, Robert A. Flowers, Troels Skrydstrup

• Record Nr.: UNINA9911004764103321
• Autore: Procter David J
• Pubbl/distr/stampa: Cambridge, : Royal Society of Chemistry, 2010
• ISBN: 9781628708752; 1628708751; 9781849730754; 184973075X
• Edizione: [1st ed.]
• Descrizione fisica: 1 online resource (221 p.)
• Altri autori (Persone): FlowersRobert A; SkrydstrupTroels
• Disciplina: 546.415
• Soggetti: Samarium; Samarium - Reactivity; Organic compounds - Synthesis
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 9781847551108; i_iv; v_vi; vii; viii; ix_xiii; xiv_xvi; 001_004; 005_019; 020_035; 036_068; 069_144; 145_156; 157_197; 198_204
• Sommario/riassunto: Samarium diiodide is one of the most important reducing agents available to synthetic organic chemists. The lanthanide(II) reagent acts by single-electron transfer to organic substrates leading to the formation of both radical and/or anionic intermediates. The power of the reagent arises from its versatility - samarium diiodide can be used in processes ranging from functional group conversions to elaborate carbon-carbon bond-forming cyclization sequences that result in a dramatic increase in molecular complexity. In addition, reactions involving samarium diiodide often show high stereoselectiv