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AS Use of Maths - Algebra and Graphs: Student Book (PDF)
by Anne Haworth Geoff Wake June HaightonWritten for the new AS Level in Use of Maths in conjunction with the Nuffield Curriculum Centre and developed in consultation with schools and colleges. This series is designed to meet the needs of students who wish to study maths to complement other areas of study by applying mathematics to other subjects and real life situations.
The Ascent of Mary Somerville in 19th Century Society (Springer Biographies)
by Elisabetta StricklandThis biography traces the life and work of Mary Fairfax Somerville, whose extraordinary mathematical talent only came to light through fortuitous circumstances. Barely taught to read and write as a child, all the science she learned and mastered was self taught. In this delightful narrative the author takes up the challenge of discovering how Somerville came to be one of the most outstanding British women scientists and, furthermore, a popular writer. Particular attention is paid to the gender aspects of Somerville's success in what was, to put it mildly, a predominantly male domain.
Asi! 1: student book (PDF)
by Helena Gonzalez-Florido Michael CalvertThe course that keeps all your pupils on board! iAsi! provides full differentiation for all your pupils no matter how much support they need. There are stepped activities in the core units, a self-access section in the Student's Book, and lower and higher workbooks.nbsp;
Asi! 2: student book (PDF)
by Helena Gonzalez-Florido Michael CalvertThe course that keeps all your pupils on board! iAsi! provides full differentiation for all your pupils no matter how much support they need. There are stepped activities in the core units, a self-access section in the Student's Book, and lower and higher workbooks.
Asia-Africa- Multifaceted Engagement in the Contemporary World (Africa's Global Engagement: Perspectives from Emerging Countries)
by Yongkyu Chang Ute FendlerThis book provides an insight into the complex entanglements between African countries and India, China, and South Korea from multidisciplinary perspectives connecting approaches from cultural, anthropological, literary, and music studies and art history. The three parts present a regional focus, namely Africa-India, Africa-South Korea, and Africa-China while the single contributions speak to each other and offer complementary insights. At the same time, the chapters also link across the regional realms as they deal with similar topics, such as travelling music genres. In part I, for Pombo material culture is the starting point to investigate the connections between the islands of the Indian Ocean and India by questioning the construction of memory. It highlights various aspects of the multilayered history of connections between Africa, the islands, and India. Part II gathers contributions that are complimentary to each other and therefore contribute to the understanding of the complex entanglements in area studies. Part III (Africa-South Korea) explores the impact of African-American arts and artists on South Korea's popular culture as well as the changing perception of artists of African descent in visual popular culture. It shows the impact of Korean content in South Africa.
Asia-Pacific STEM Teaching Practices: From Theoretical Frameworks to Practices
by Ying-Shao Hsu Yi-Fen YehThis book offers various perspectives on the complex and crosscutting concepts of the science, technology, engineering, and mathematics (STEM) disciplines in the classroom context. Presenting empirical studies, it reveals how researchers in the Asia-Pacific Region planned and implemented STEM education in the classroom. Further, it discusses the assessment of STEM learning to clarify what important elements should be included and how researchers and educators frame and design assessment tools. The book consists of four parts: potential and trends in STEM education; teachers’ practical knowledge for STEM teaching; STEM teaching practices; and assessment of STEM learning. Providing evidence on developing curriculums, implementing instructional practices and educating classroom teachers, it is intended for readers wanting to explore STEM education from multiple perspectives.
Asian America: Sociological And Interdisciplinary Perspectives
by Pawan Dhingra Robyn Magalit RodriguezAsian Americans are the fastest growing minority population in the country. Moreover, they provide a unique lens on the wider experiences of immigrants and minorities in the United States, both historically and today. Pawan Dhingra and Robyn Magalit Rodriguez’s acclaimed introduction to understanding this diverse group is here updated in a thoroughly revised new edition. Incorporating cutting-edge thinking and discussion of the latest current events, the authors critically examine key topics in the Asian-American experience, including education and work, family and culture, media and politics, and social hierarchies of race, gender, and sexuality. Through vivid examples and clear discussion of a broad range of theories, the authors explore the contributions of Asian American Studies, sociology, psychology, history, and other fields to understanding Asian Americans, and vice versa. The new edition includes further pedagogical elements to help readers apply the core theoretical and analytical frameworks encountered. In addition, the book takes readers beyond the boundaries of the United States to cultivate a comparative understanding of the Asian experience as it has become increasingly global and diasporic. This engaging text will continue to be a welcome resource for those looking for a rich and systematic overview of Asian America, as well as for undergraduate and graduate courses on immigration, race, American society, and Asian American Studies.
Asian Research in Mathematics Education: Mapping the Field (Mathematics Education – An Asian Perspective)
by Bill Atweh Lianghuo Fan Catherine P. Vistro-YuThis book focuses on the development of research in mathematics education cultures and its products from the perspective of local educators. It consists of contributions from Mainland China, Indonesia, Korea, Macao, Singapore, the Philippines, and Turkey. This book examines the development of the culture of research in the respective countries and also reviews the research conducted in the recent past in mathematics education. It takes a critical stance through identifying the various accomplishments, and identifying challenges for the future of research in terms of its diversification and quality. Divided into two sections, the first section considers factors around the development of a research culture in the respective countries by focusing on the means used to develop research expertise and quality. The second section consists of overviews of the area of research and methodologies conducted in mathematics education in the various countries, with the intention of highlighting the research topics conducted as well as discussing omissions of such research.
Asianization of Migrant Workers in the Gulf Countries
by S. Irudaya Rajan Ginu Zacharia OommenThis edited volume contains sixteen chapters by eminent scholars on one of the largest migration corridors in the world i.e., between South and South-East Asia and the Gulf region. Asia’s trade and cultural contact with the Gulf date back to ancient historical times. Since the 1970s, the economic rise of the Gulf Cooperation Council (GCC) countries owing to the discovery of oil has inspired a huge influx of migrant workers from Asia. At present, out of roughly 15 million expatriates in the Gulf region, Asians constitute around 12 million (80 percent). The chapters in this book look at migration from countries like India, Sri Lanka, Bangladesh, Pakistan, Indonesia and Philippines to the different GCC countries. A few chapters also focus on migration from the India state of Kerala- a state where migration to the Gulf is prominent and where remittances make up over 36 percent of the state GDP. Furthermore, the issues covered range from labour practices and policies, citizenship and state protection, human rights, gender and caste as well as diaspora. This book explores the multifaceted nuances of the ‘Asia-Gulf migratory corridor’ and unearths future prospects and strategic implications. The book examines remittance behaviour, changing gender roles of immigrants, social-spatial mobility, migrant policies, human rights, sense of belonging and identity and perception, and the interaction between nationals and non-nationals. The book will be of interest to researchers in the areas of demography, migration and gender studies as well as social science researchers, policy makers, human rights lawyers, civil society institutions working on migration, Gulf studies programmes and centres on South-Asian and Middle-Eastern studies.
Asp. Net Core 5 Secure Coding Cookbook: Practical Recipes For Tackling Vulnerabilities In Your Asp. Net Web Applications
by Roman Canlas E. D. PricePractical recipes for tackling vulnerabilities in your ASP.NET web applications
Aspects of Boundary Problems in Analysis and Geometry (Operator Theory: Advances and Applications #151)
by Juan Gil Thomas Krainer Ingo WittBoundary problems constitute an essential field of common mathematical interest, they lie in the center of research activities both in analysis and geometry. This book encompasses material from both disciplines, and focuses on their interactions which are particularly apparent in this field. Moreover, the survey style of the contributions makes the topics accessible to a broad audience with a background in analysis or geometry, and enables the reader to get a quick overview.
Aspects of Brownian Motion (Universitext)
by Roger Mansuy Marc YorStochastic calculus and excursion theory are very efficient tools for obtaining either exact or asymptotic results about Brownian motion and related processes. This book focuses on special classes of Brownian functionals, including Gaussian subspaces of the Gaussian space of Brownian motion; Brownian quadratic funtionals; Brownian local times; Exponential functionals of Brownian motion with drift; Time spent by Brownian motion below a multiple of its one-sided supremum.
Aspects of Calculus (Undergraduate Texts in Mathematics)
by Gabriel KlambauerThis book is intended for students familiar with a beginner's version of differential and integral calculus stressing only manipulation offormulas and who are now looking for a closer study of basic concepts combined with a more creative use of information. The work is primarily aimed at students in mathematics, engineering, and science who find themselves in transition from elementary calculus to rigorous courses in analysis. In addition, this book may also be of interest to those preparing to teach a course in calculus. Instead of exposing the reader to an excess of premature abstractions that so easily can degenerate into pedantry, I felt it more useful to stress instruc tive and stimulating examples. The book contains numerous worked out examples and many of the exercises are provided with helpful hints or a solution in outline. For further exercises the interested reader may want to consult a problem book by the author entitled Problems and Propositions in Analysis (New York: Marcel Dekker, 1979). For the history of calculus I recommend the book by C. B. Boyer, The Concepts of the Calculus (New York: Dover, 1949).
Aspects of Differential Geometry I (Synthesis Lectures on Mathematics & Statistics)
by Peter Gilkey JeongHyeong Park Ramón Vázquez-LorenzoDifferential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. In Book I, we focus on preliminaries. Chapter 1 provides an introduction to multivariable calculus and treats the Inverse Function Theorem, Implicit Function Theorem, the theory of the Riemann Integral, and the Change of Variable Theorem. Chapter 2 treats smooth manifolds, the tangent and cotangent bundles, and Stokes' Theorem. Chapter 3 is an introduction to Riemannian geometry. The Levi-Civita connection is presented, geodesics introduced, the Jacobi operator is discussed, and the Gauss-Bonnet Theorem is proved. The material is appropriate for an undergraduate course in the subject. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the Chern-Gauss-Bonnet Theorem for pseudo-Riemannian manifolds with boundary is new. Table of Contents: Preface / Acknowledgments / Basic Notions and Concepts / Manifolds / Riemannian and Pseudo-Riemannian Geometry / Bibliography / Authors' Biographies / Index
Aspects of Differential Geometry II (Synthesis Lectures on Mathematics & Statistics)
by Peter Gilkey JeongHyeong Park Ramón Vázquez-LorenzoDifferential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book II deals with more advanced material than Book I and is aimed at the graduate level. Chapter 4 deals with additional topics in Riemannian geometry. Properties of real analytic curves given by a single ODE and of surfaces given by a pair of ODEs are studied, and the volume of geodesic balls is treated. An introduction to both holomorphic and Kähler geometry is given. In Chapter 5, the basic properties of de Rham cohomology are discussed, the Hodge Decomposition Theorem, Poincaré duality, and the Künneth formula are proved, and a brief introduction to the theory of characteristic classes is given. In Chapter 6, Lie groups and Lie algebras are dealt with. The exponential map, the classical groups, and geodesics in the context of a bi-invariant metric are discussed. The de Rham cohomology of compact Lie groups and the Peter--Weyl Theorem are treated. In Chapter 7, material concerning homogeneous spaces and symmetric spaces is presented. Book II concludes in Chapter 8 where the relationship between simplicial cohomology, singular cohomology, sheaf cohomology, and de Rham cohomology is established. We have given some different proofs than those that are classically given and there is some new material in these volumes. For example, the treatment of the total curvature and length of curves given by a single ODE is new as is the discussion of the total Gaussian curvature of a surface defined by a pair of ODEs.
Aspects of Differential Geometry III (Synthesis Lectures on Mathematics & Statistics)
by Esteban Calviño-Louzao Eduardo García-Río Peter Gilkey JeongHyeong Park Ramón Vázquez-LorenzoDifferential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to advanced undergraduates. It deals with invariance theory and discusses invariants both of Weyl and not of Weyl type; the Chern‒Gauss‒Bonnet formula is treated from this point of view. Homothety homogeneity, local homogeneity, stability theorems, and Walker geometry are discussed. Ricci solitons are presented in the contexts of Riemannian, Lorentzian, and affine geometry.
Aspects of Differential Geometry IV (Synthesis Lectures on Mathematics & Statistics)
by Esteban Calviño-Louzao Eduardo García-Río Peter Gilkey JeongHyeong Park Ramón Vázquez-LorenzoBook IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces {which} are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group ℝ² is Abelian and the �������� + ���� group\index{ax+b group} is non-Abelian. The first chapter presents foundational material. The second chapter deals with Type ���� surfaces. These are the left-invariant affine geometries on ℝ². Associating to each Type ���� surface the space of solutions to the quasi-Einstein equation corresponding to the eigenvalue ����=-1$ turns out to be a very powerful technique and plays a central role in our study as it links an analytic invariant with the underlying geometry of the surface. The third chapter deals with Type ���� surfaces; these are the left-invariant affine geometries on the �������� + ���� group. These geometries form a very rich family which is only partially understood. The only remaining homogeneous geometry is that of the sphere ����². The fourth chapter presents relations between the geometry of an affine surface and the geometry of the cotangent bundle equipped with the neutral signature metric of the modified Riemannian extension.
Aspects of Differential Geometry V (Synthesis Lectures on Mathematics & Statistics)
by Esteban Calviño-Louzao Eduardo García-Río Peter Gilkey JeongHyeong Park Ramón Vázquez-LorenzoBook V completes the discussion of the first four books by treating in some detail the analytic results in elliptic operator theory used previously. Chapters 16 and 17 provide a treatment of the techniques in Hilbert space, the Fourier transform, and elliptic operator theory necessary to establish the spectral decomposition theorem of a self-adjoint operator of Laplace type and to prove the Hodge Decomposition Theorem that was stated without proof in Book II. In Chapter 18, we treat the de Rham complex and the Dolbeault complex, and discuss spinors. In Chapter 19, we discuss complex geometry and establish the Kodaira Embedding Theorem.
Aspects of Ergodic, Qualitative and Statistical Theory of Motion (Theoretical and Mathematical Physics)
by Giovanni Gallavotti Federico Bonetto Guido GentileIntended for beginners in ergodic theory, this introductory textbook addresses students as well as researchers in mathematical physics. The main novelty is the systematic treatment of characteristic problems in ergodic theory by a unified method in terms of convergent power series and renormalization group methods, in particular. Basic concepts of ergodicity, like Gibbs states, are developed and applied to, e.g., Asonov systems or KAM Theroy. Many examples illustrate the ideas and, in addition, a substantial number of interesting topics are treated in the form of guided problems.
Aspects of Integrability of Differential Systems and Fields: A Mathematical Primer for Physicists (SpringerBriefs in Physics)
by Costas J. PapachristouThis book serves as an introduction to the concept of integrability as it applies to systems of differential equations as well as to vector-valued fields. The author focuses on specific aspects of integrability that are often encountered in a variety of problems in applied mathematics, physics and engineering. The following general cases of integrability are examined: (a) path-independence of line integrals of vector fields on the plane and in space; (b) integration of a system of ordinary differential equations by using first integrals; and (c) integrable systems of partial differential equations. Special topics include the integration of analytic functions and some elements from the geometric theory of differential systems. Certain more advanced subjects, such as Lax pairs and Bäcklund transformations, are also discussed. The book is written at an intermediate level for educational purposes. The presentation is as simple as the topics allow, often sacrificing mathematical rigor in favor of pedagogical efficiency.
Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Ronald B. Guenther John W. LeeAspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, but also includes several neat examples that are rarely found in other treatments of Riemann integration. Historical remarks trace the development of integration from the method of exhaustion of Eudoxus and Archimedes, used to evaluate areas related to circles and parabolas, to Riemann’s careful definition of the definite integral, which is a powerful expansion of the method of exhaustion and makes it clear what a definite integral really is.The second part follows the approach of Riesz and Nagy in which the Lebesgue integral is developed without the need for any measure theory. Our approach is novel in part because it uses integrals of continuous functions rather than integrals of step functions as its starting point. This is natural because Riemann integrals of continuous functions occur much more frequently than do integrals of step functions as a precursor to Lebesgue integration. In addition, the approach used here is natural because step functions play no role in the novel development of the Riemann integral in the first part of the book. Our presentation of the Riesz-Nagy approach is significantly more accessible, especially in its discussion of the two key lemmas upon which the approach critically depends, and is more concise than other treatments.Features Presents novel approaches designed to be more accessible than classical presentations A welcome alternative approach to the Riemann integral in undergraduate analysis courses Makes the Lebesgue integral accessible to upper division undergraduate students How completion of the Riemann integral leads to the Lebesgue integral Contains a number of historical insights Gives added perspective to researchers and postgraduates interested in the Riemann and Lebesgue integrals
Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)
by Ronald B. Guenther John W. LeeAspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts. The first part is devoted to the Riemann integral, and provides not only a novel approach, but also includes several neat examples that are rarely found in other treatments of Riemann integration. Historical remarks trace the development of integration from the method of exhaustion of Eudoxus and Archimedes, used to evaluate areas related to circles and parabolas, to Riemann’s careful definition of the definite integral, which is a powerful expansion of the method of exhaustion and makes it clear what a definite integral really is.The second part follows the approach of Riesz and Nagy in which the Lebesgue integral is developed without the need for any measure theory. Our approach is novel in part because it uses integrals of continuous functions rather than integrals of step functions as its starting point. This is natural because Riemann integrals of continuous functions occur much more frequently than do integrals of step functions as a precursor to Lebesgue integration. In addition, the approach used here is natural because step functions play no role in the novel development of the Riemann integral in the first part of the book. Our presentation of the Riesz-Nagy approach is significantly more accessible, especially in its discussion of the two key lemmas upon which the approach critically depends, and is more concise than other treatments.Features Presents novel approaches designed to be more accessible than classical presentations A welcome alternative approach to the Riemann integral in undergraduate analysis courses Makes the Lebesgue integral accessible to upper division undergraduate students How completion of the Riemann integral leads to the Lebesgue integral Contains a number of historical insights Gives added perspective to researchers and postgraduates interested in the Riemann and Lebesgue integrals
Aspects of Mathematical Finance
by K. Qechar Marc YorThis collection of essays is based on lectures given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance. The collection develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes. The book also features a description of the trainings of French financial analysts.