Pre-Calculus, Calculus, and Beyond

Pre-Calculus, Calculus, and Beyond PDF Author: Hung-Hsi Wu
Publisher: American Mathematical Soc.
ISBN: 147045677X
Category : Education
Languages : en
Pages : 417

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Book Description
This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

Pre-Calculus, Calculus, and Beyond

Pre-Calculus, Calculus, and Beyond PDF Author: Hung-Hsi Wu
Publisher: American Mathematical Soc.
ISBN: 147045677X
Category : Education
Languages : en
Pages : 417

Get Book Here

Book Description
This is the last of three volumes that, together, give an exposition of the mathematics of grades 9–12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K–12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the “long division” of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K–12 mathematics, as well as for some high school students and for education professionals.

Dictionary of American Naval Fighting Ships

Dictionary of American Naval Fighting Ships PDF Author:
Publisher:
ISBN:
Category : Warships
Languages : en
Pages : 672

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Book Description


Dictionary of American Naval Fighting Ships: Historical sketches

Dictionary of American Naval Fighting Ships: Historical sketches PDF Author:
Publisher:
ISBN:
Category : Government publications
Languages : en
Pages : 674

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Book Description


Dictionary of American Naval Fighting Ships

Dictionary of American Naval Fighting Ships PDF Author: United States. Naval History Division
Publisher:
ISBN:
Category :
Languages : en
Pages : 674

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Book Description


Alberta Oil Sands

Alberta Oil Sands PDF Author: Kevin E Percy
Publisher: Newnes
ISBN: 008097760X
Category : Business & Economics
Languages : en
Pages : 570

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Book Description
At 170 billion barrels, Canada's Oil Sands are the third largest reserves of developable oil in the world. The Oil Sands now produce about 1.6 million barrels per day, with production expected to double by 2025 to about 3.7 million barrels per day. The Athabasca Oil Sands Region (AOSR) in northeastern Alberta is the largest of the three oil sands deposits. Bitumen in the oil sands is recovered through one of two primary methods - mining and drilling. About 20 per cent of the reserves are close to the surface and can be mined using large shovels and trucks. Of concern are the effects of the industrial development on the environment. Both human-made and natural sources emit oxides of sulphur and nitrogen, trace elements and persistent organic compounds. Of additional concern are ground level ozone and greenhouse gases. Because of the requirement on operators to comply with the air quality regulatory policies, and to address public concerns, the not-for-profit, multi-stakeholder Wood Buffalo Environmental Association (WBEA) has since 1997 been closely monitoring air quality in AOSR. In 2008, WBEA assembled a distinguished group of international scientists who have been conducting measurements and practical research on various aspects of air emissions and their potential effects on terrestrial receptors. This book is a synthesis of the concepts and results of those on-going studies. It contains 19 chapters ranging from a global perspective of energy production, measurement methodologies and behavior of various air pollutants during fossil fuel production in a boreal forest ecosystem, towards designing and deploying a multi-disciplinary, proactive, and long-term environmental monitoring system that will also meet regulatory expectations. Covers measurement of emissions from very large industrial sources in a region with huge international media profile Validation of measurement technologies can be applied globally The new approaches to ecological monitoring described can be applied in other forested regions

Gazetteer of the Philippine Islands

Gazetteer of the Philippine Islands PDF Author: U.S. Coast and Geodetic Survey
Publisher:
ISBN:
Category : Names, Geographical
Languages : en
Pages : 412

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Book Description


The Role of Glycans in Immune Cell Functions

The Role of Glycans in Immune Cell Functions PDF Author: Jasmeen S. Merzaban
Publisher: Frontiers Media SA
ISBN: 2889636968
Category :
Languages : en
Pages : 205

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Book Description
Glycans represent a major constituency of post-translational modifications that occur on most, if not all, proteins. Whether on mammalian or invertebrate cell surfaces, they exist as sugar chain moieties designed from the exquisite and coordinated activity of cell-specific glycosylation. Some of the more common glycan structures are linked to cell surface polypeptides via an asparagine (N)-linked residue or a serine/threonine (O)-linked residue, along with a notable contingent found linked to ceramides in the lipid bilayer known as glycosphingolipids. These glycans can associate with complementary glycan-binding proteins (GBP) or lectins to mediate and translate this carbohydrate recognition to cell function. In immunity, there is increasing evidence that precise immune cell glycans are recognized by corresponding GBPs in a cell-intrinsic or -extrinsic manner. Unique carbohydrate recognition domains within GBPs are comprised of precisely spaced amino acid functional groups that allow for selective engagement of a particular glycan target. This structure-function relationship is present in immune signaling pathways, whereby glycans and GBPs on the surface of immune cells (and non-immune cells) help control processes such as immune cell activation, recognition of pathogens, suppression and tissue-specific migration. The diversity of glycan structures and glycosylation among individual immune cell subsets is controlled by the expression of genes involved in glycan biosynthesis including glycosyltransferases, glycosidases, glycan-precursor biosynthetic enzymes and nucleotide-sugar transporters. These genes represent more than 3% of the human genome, and cell-specific expression of these genes dictates a cell’s glycan repertoire, ultimately influencing its molecular interactions with GBPs. Altogether, these emerging lines of investigation highlight the regulatory capacity of glycans in immune health and disease, which in turn, pave the way for novel diagnostic, prognostic, and therapeutic strategies.

Structure of Rings

Structure of Rings PDF Author: Nathan Jacobson
Publisher: American Mathematical Soc.
ISBN: 9780821874707
Category : Algebraic fields
Languages : en
Pages : 314

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Book Description


Principles and Practice of Travel Medicine

Principles and Practice of Travel Medicine PDF Author: Jane N. Zuckerman
Publisher: John Wiley & Sons
ISBN: 1405197633
Category : Medical
Languages : en
Pages : 681

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Book Description
Principles and Practice of Travel Medicine Principles and Practice of Travel Medicine This second edition of Principles and Practice of Travel Medicine has been extensively updated to provide a comprehensive description of travel medicine and is an invaluable reference resource to support the clinical practice of travel medicine. This new edition covers the many recent advances in the field, including the development of new and combined vaccines; malaria prophylaxis; emerging new infections; new hazards resulting from travel to long haul destinations; health tourism; and population movements. The chapter on vaccine-preventable diseases includes new developments in licensed vaccines, as well as continent-based recommendations for their administration. There are chapters on the travel health management of high risk travellers, including the diabetic traveller, the immunocompromised, those with cardiovascular, renal, neurological, gastrointestinal, malignant and other disorders, psychological and psychiatric illnesses, pregnant women, children and the elderly. With increasing numbers of ever more adventurous travellers, there is discussion of travel medicine within extreme environments, whilst the chapter on space tourism may well be considered the future in travel medicine. Principles and Practice of Travel Medicine is an invaluable resource for health care professionals providing advice and clinical care to the traveller. Titles of related interest Atlas of Human Infectious Diseases Heiman F.L. Wertheim, Peter Horby & John P. Woodall 9781405184403 (2012) Infectious Diseases: A Geographic Guide Eskild Petersen, Lin H. Chen & Patricia Schlagenhauf 9780470655290 (2011) Tropical Diseases in Travelers Eli Schwartz 9781405184410 (2009) For more information on all our resources in Infectious Diseases, please visit www.wiley.com/go/infectiousdiseases

Sacred Darkness

Sacred Darkness PDF Author: Holley Moyes
Publisher: University Press of Colorado
ISBN: 1607321785
Category : Social Science
Languages : en
Pages : 431

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Book Description
Caves have been used in various ways across human society, but despite the persistence within popular culture of the iconic caveman, deep caves were never used primarily as habitation sites for early humans. Rather, in both ancient and contemporary contexts, caves have served primarily as ritual spaces. In Sacred Darkness, contributors use archaeological evidence as well as ethnographic studies of modern ritual practices to envision the cave as place of spiritual and ideological power that emerges as a potent venue for ritual practice. Covering the ritual use of caves in Europe, Asia, Australia, Africa, Mesoamerica, and the US Southwest and Eastern woodlands, this book brings together case studies by prominent scholars whose research spans from the Paleolithic period to the present day. These contributions demonstrate that cave sites are as fruitful as surface contexts in promoting the understanding of both ancient and modern religious beliefs and practices. This state-of-the-art survey of ritual cave use will be one of the most valuable resources for understanding the role of caves in studies of religion, sacred landscape, or cosmology and a must-read for any archaeologist interested in caves.