What Is Math Concepts And Applications
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Mathematical Concepts
The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.
Essentials of WIAT-II and KTEA-II Assessment
Author: Elizabeth O. Lichtenberger
language: en
Publisher: John Wiley & Sons
Release Date: 2005-08-05
Quickly acquire the knowledge and skills you need to confidently administer, score, and interpret the WIAT(r)-II and KTEA-II The Wechsler(r) Individual Achievement Test, Second Edition (WIAT(r)-II) and the Kaufman Test of Educational Achievement, Second Edition (KTEA-II) are two popular measures of individual achievement. Both tests assess adult and child performance on academic skills and problem-solving abilities. Essentials of WIAT(r)-II and KTEA-II Assessment provides the definitive guide to administering, scoring, and interpreting the WIAT(r)-II and the KTEA-II. Like all the volumes in the Essentials of Psychological Assessment series, this book is designed to help busy mental health professionals quickly acquire the knowledge and skills they need to make optimal use of major psychological assessment instruments. Each concise chapter features numerous callout boxes highlighting key concepts, bulleted points, and extensive illustrative material, as well as test questions that help you gauge and reinforce your grasp of the information covered. The best source of information on the WIAT(r)-II and the KTEA-II, Essentials of WIAT(r)-II and KTEA-II Assessment provides students and practitioners with an unparalleled resource for learning and application, including expert assessment of relative strengths and weaknesses, valuable advice on clinical applications, and illuminating case reports. Other titles in the Essentials of Psychological Assessment series: * Essentials of WISC(r)-IV Assessment * Essentials of Stanford-Binet (SB5) Assessment * Essentials of Assessment Report Writing * Essentials of Neuropsychological Assessment * Essentials of WJ III(r) Cognitive Abilities Assessment * Essentials of WJ III(r) Tests of Achievement Assessment * Essentials of WAIS(r)-III Assessment * Essentials of WPPSI-III Assessment * Essentials of Cross-Battery Assessment * Essentials of KABC-II Assessment
Mathematics and Computation
Author: Avi Wigderson
language: en
Publisher: Princeton University Press
Release Date: 2019-10-29
From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography