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History of Mathematics Teaching and Learning: Achievements, Problems, Prospects
This work examines the main directions of research conducted on the history of mathematics education. It devotes substantial attention to research methodologies and the connections between this field and other scholarly fields. The results of a survey about academic literature on this subject are accompanied by a discussion of what has yet to be done and problems that remain unsolved. The m…
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- 978-3-319-31615-4
- Collation
- X, 40
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- Call Number
- 510 KAR h
Early Algebra : Research into Its Nature, Its Learning, Its Teaching
Annotation This survey of the state of the art on research in early algebra traces the evolution of a relatively new field of research and teaching practice. With its focus on the younger student, aged from about 6 years up to 12 years, this volume reveals the nature of the research that has been carried out in early algebra and how it has shaped the growth of the field. The survey, in presenti…
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- ISBN/ISSN
- 9783319322575
- Collation
- 42 pages
- Series Title
- -
- Call Number
- 510
Elementary College Geometry
This text is intended for a brief introductory course in plane geometry. It covers the topics from elementary geometry that are most likely to be required for more advanced mathematics courses. The only prerequisite is a semester of algebra. The emphasis is on applying basic geometric principles to the numerical solution of problems. For this purpose the number of theorems and definitions is…
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- 516 AFR e
Fast Fourier Transforms
This book focuses on the discrete Fourier transform (DFT), discrete convolution, and, particularly, the fast algorithms to calculate them. These topics have been at the center of digital signal processing since its beginning, and new results in hardware, theory and applications continue to keep them important and exciting.
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- 516 BUR f
Lyapunov Exponents of Linear Cocycles: Continuity via Large Deviations
The aim of this monograph is to present a general method of proving continuity of Lyapunov exponents of linear cocycles. The method uses an inductive procedure based on a general, geometric version of the Avalanche Principle. The main assumption required by this method is the availability of appropriate large deviation type estimates for quantities related to the iterates of the base and fiber …
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- ISBN/ISSN
- 978-94-6239-124-6
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Mod-ϕ Convergence: Normality Zones and Precise Deviations
The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been pub…
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- 1
- ISBN/ISSN
- 978-3-319-46821-1
- Collation
- XII, 152; 8 b/w illustrations, 9 illustrations in colour
- Series Title
- SpringerBriefs in Probability and Mathematical Statistics
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- -
Minimal Free Resolutions over Complete Intersections
This book introduces a theory of higher matrix factorizations for regular sequences and uses it to describe the minimal free resolutions of high syzygy modules over complete intersections. Such resolutions have attracted attention ever since the elegant construction of the minimal free resolution of the residue field by Tate in 1957. The theory extends the theory of matrix factorizations of …
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- 1
- ISBN/ISSN
- 978-3-319-26436-3
- Collation
- X, 107
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- Lecture Notes in Mathematics
- Call Number
- -
Model-Based Recursive Partitioning with Adjustment for Measurement Error:Appl…
Model-based recursive partitioning (MOB) provides a powerful synthesis between machine-learning inspired recursive partitioning methods and regression models. Hanna Birke extends this approach by allowing in addition for measurement error in covariates, as frequently occurring in biometric (or econometric) studies, for instance, when measuring blood pressure or caloric intake per day. After an …
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- 1
- ISBN/ISSN
- 978-3-658-08504-9
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- XXIV, 240; 65 b/w illustrations
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- BestMasters
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Logic and Its Applications: 6th Indian Conference, ICLA 2015, Mumbai, India, …
This book collects the refereed proceedings of the 6th Indian Conference on Logic and Its Applications, ICLA 2015, held in Mumbai, India, in January 2015. The volume contains 13 full revised papers along with 3 invited talks presented at the conference. The papers were selected after rigorous review, from 23 submissions. They cover topics related to pure and applied formal logic, foundations an…
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- ISBN/ISSN
- 978-3-662-45824-2
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Logic Synthesis for FPGA-Based Finite State Machines
This book discusses control units represented by the model of a finite state machine (FSM). It contains various original methods and takes into account the peculiarities of field-programmable gate arrays (FPGA) chips and a FSM model. It shows that one of the peculiarities of FPGA chips is the existence of embedded memory blocks (EMB). The book is devoted to the solution of problems of logic syn…
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- ISBN/ISSN
- 978-3-319-24202-6
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