Mathematics of Discrete Structures for Computer Science

Recent scholarship has revealed that pioneering Victorian scientists endeavored through voluminous writing to raise public interest in science and its implications. But it has generally been assumed t

Thompson (special education, educational psychology, U. of Minnesota, Minneapolis) presents a guide for professionals working with children who have autism to creating individualized interventions by

This new Java edition of the AP Computer Science manual presents four full-length AP Computer Science practice exams with questions answered and explained. Two are A exams, two are AB exams, and all f

This innovative text focuses on the architectures, mathematics, and algorithms that are integral to creating reliable user interfaces. The first sixteen chapters cover the concepts required for curren

A unique introduction to the design, analysis, and presentation of scientific projects, this is an essential textbook for undergraduate majors in science and mathematics. The textbook gives an overview of the main methods used in scientific research, including hypothesis testing, the measurement of functional relationships, and observational research. It describes important features of experimental design, such as the control of errors, instrument calibration, data analysis, laboratory safety, and the treatment of human subjects. Important concepts in statistics are discussed, focusing on standard error, the meaning of p values, and use of elementary statistical tests. The textbook introduces some of the main ideas in mathematical modeling, including order-of-magnitude analysis, function fitting, Fourier transforms, recursion relations, and difference approximations to differential equations. It also provides guidelines on accessing scientific literature, and preparing scientific paper

The importance of computer graphics is spreading beyond the computer science discipline and graphics experts. This new introduction to computer graphics is perfect for any school that does not focus s

The aim of this book is to provide a concise and understandable review of the physics, mathematics, statistics, physiology and pharmacology of anaesthesia. A revised edition of a book originally titled Anaesthetic Data Interpretation, the new title better reflects the contents of the book. There are several additional chapters relevant to the Primary FRCA examination. New topics covered include the ventilatory response to oxygen and carbon dioxide, which is now a core knowledge requirement, new concepts in cardiovascular physiology, receptor types and the molecular actions of anaesthetics. Some of the revisions reflect advances in technology; for example, the uses of the capnograph and the oxygen analyser have advanced considerably in recent years. Basic Science for Anaesthetists is a concise and informative text which will be invaluable for trainee anaesthetists, and an aid to teaching for the trainers.

This study examines the origins of geometry in and out of the intuitively given everyday lifeworlds of children in a second-grade mathematics class. These lifeworlds, though pre-geometric, are not wit

STEM Lesson Essentials" moves beyond the rhetoric and provides knowledge, tools, models, and examples that make STEM a reality of teaching and learning in classrooms." " "-Rodger Bybee, Executive Dire

Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis, probability and linear algebra, all of which have been chosen to prepare the reader for the applications to come. The book includes rigorous proofs of core results in compressive sensing and wavelet convergence. Fundamental is the treatment of the linear system y=Φx in both finite and infinite dimensions. There are three possibilities: the system is determined, overdetermined or underdetermined, each with different aspects. The authors assume only basic familiarity with advanced calculus, linear algebra and matrix theory and modest familiarity with signal processing, so the book is accessible to students from the advanced undergraduate level. Many exercises are also included.

Arising from courses taught by the authors, this largely self-contained treatment is ideal for mathematicians who are interested in applications or for students from applied fields who want to understand the mathematics behind their subject. Early chapters cover Fourier analysis, functional analysis, probability and linear algebra, all of which have been chosen to prepare the reader for the applications to come. The book includes rigorous proofs of core results in compressive sensing and wavelet convergence. Fundamental is the treatment of the linear system y=Φx in both finite and infinite dimensions. There are three possibilities: the system is determined, overdetermined or underdetermined, each with different aspects. The authors assume only basic familiarity with advanced calculus, linear algebra and matrix theory and modest familiarity with signal processing, so the book is accessible to students from the advanced undergraduate level. Many exercises are also included.

Originally published in 1908, this classic calculus text transformed university teaching and remains a must-read for all students of introductory mathematical analysis. Clear, rigorous explanations of

This collective book aims to encourage and inspire actions directed towards raising public awareness of the importance of mathematical sciences for our contemporary society in a cultural and historica

Computer simulation is an effective and popular universal tool that can be applied to almost all disciplines. Requiring only basic knowledge of programming, mathematics, and probability theory, Comput

《數學小史》用親切易懂的語言，帶領讀者走進數學的歷史長河，從古埃及與巴比倫時期，一路走到現代密碼學與數學理論的發展。書中不只介紹牛頓、帕斯卡等熟悉的名字，也細細描寫中國、阿拉伯、日本等地的數學成就，更特別介紹女性數學家的貢獻。這是一本融合人文與科學的溫暖數學故事書，適合對數字與知識充滿好奇的你。A lively, accessible history of mathematics throughout the ages and across the globeMathematics is fundamental to our daily lives. Science, computing, economics—all aspects of modern life rely on some kind of maths. But how did our ancestors think about numbers? How did they use mathematics to explain and understand the world around them? Where do numbers even come from?In this Little History, Snezana Lawrence traces the fascinating history of mathematics, from the Egyptians and Babylonians to Renaissance masters and enigma codebreakers. Like literature, music, or philosophy, mathematics has a rich history of breakthroughs, creativity and experimentation. And its story is a global one. We see Chinese Mathematical Art from 200 BCE, the invention of algebra in Baghdad’s House of Wisdom, and sangaku geometrical theorems at Japanese shrines. La

Children aren't the only ones who can be intimidated by mathematics. This thorough and practical guide to teaching K-6 mathematics is the perfect antidote for everyone involved. Part math methods, par

This work is cited in Books for College Libraries, 3d ed. The Dover edition is an unabridged republication of the work first published by Oxford University Press in 1931. The primordial origins of t

Computer Networks, 5/e is appropriate for Computer Networking or Introduction to Networking courses at both the undergraduate and graduate level in Computer Science, Electrical Engineering, CIS, MIS,

This book, written by one of philosophy's pre-eminent logicians, argues that many of the basic assumptions common to logic, philosophy of mathematics and metaphysics are in need of change. It is therefore a book of critical importance to logical theory. Jaakko Hintikka proposes a new basic first-order logic and uses it to explore the foundations of mathematics. This new logic enables logicians to express on the first-order level such concepts as equicardinality, infinity, and truth in the same language. The famous impossibility results by Gödel and Tarski that have dominated the field for the last sixty years turn out to be much less significant than has been thought. All of ordinary mathematics can in principle be done on this first-order level, thus dispensing with the existence of sets and other higher-order entities.