An Introductory Course in Computational Neuroscience

An Introductory Course in Computational Neuroscience

Author: Paul Miller

Publisher: MIT Press

Published: 2018-10-09

Total Pages: 405

ISBN-13: 0262347563

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A textbook for students with limited background in mathematics and computer coding, emphasizing computer tutorials that guide readers in producing models of neural behavior. This introductory text teaches students to understand, simulate, and analyze the complex behaviors of individual neurons and brain circuits. It is built around computer tutorials that guide students in producing models of neural behavior, with the associated Matlab code freely available online. From these models students learn how individual neurons function and how, when connected, neurons cooperate in a circuit. The book demonstrates through simulated models how oscillations, multistability, post-stimulus rebounds, and chaos can arise within either single neurons or circuits, and it explores their roles in the brain. The book first presents essential background in neuroscience, physics, mathematics, and Matlab, with explanations illustrated by many example problems. Subsequent chapters cover the neuron and spike production; single spike trains and the underlying cognitive processes; conductance-based models; the simulation of synaptic connections; firing-rate models of large-scale circuit operation; dynamical systems and their components; synaptic plasticity; and techniques for analysis of neuron population datasets, including principal components analysis, hidden Markov modeling, and Bayesian decoding. Accessible to undergraduates in life sciences with limited background in mathematics and computer coding, the book can be used in a “flipped” or “inverted” teaching approach, with class time devoted to hands-on work on the computer tutorials. It can also be a resource for graduate students in the life sciences who wish to gain computing skills and a deeper knowledge of neural function and neural circuits.


Second Language Acquisition

Second Language Acquisition

Author: Susan M. Gass

Publisher: Psychology Press

Published: 2001

Total Pages: 508

ISBN-13: 9780805835281

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This book is a thorough revision of the highly successful text first published in 1994. The authors retain the multidisciplinary approach that presents research from linguistics, sociology, psychology, and education, in a format designed for use in an introductory course for undergraduate or graduate students. The research is updated throughout and there are new sections and chapters in this second edition as well. New chapters cover child language acquisition (first and second), Universal Grammar, and instructed language learning; new sections address issues, such as what data analysis doesn't show, replication of research findings, interlanguage transfer (multilingual acquisition and transfer), the aspect hypothesis, general nativism, connectionist approaches, and implicit/explicit knowledge. Major updates include nonlanguage influences and the lexicon. The workbook, Second Language Learning Data Analysis, Second Edition, makes an ideal accompaniment to the text.


An Introductory Course of Particle Physics

An Introductory Course of Particle Physics

Author: Palash B. Pal

Publisher: Taylor & Francis

Published: 2014-07-29

Total Pages: 818

ISBN-13: 1482216981

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For graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject. It gives students the competence to work out various properties of fundamental particles, such as scattering cross-section and lifetime. The book also gives a lucid summary of the main ideas involved. In giving students a taste of fundamental interactions among elementary particles, the author does not assume any prior knowledge of quantum field theory. He presents a brief introduction that supplies students with the necessary tools without seriously getting into the nitty-gritty of quantum field theory, and then explores advanced topics in detail. The book then discusses group theory, and in this case the author assumes that students are familiar with the basic definitions and properties of a group, and even SU(2) and its representations. With this foundation established, he goes on to discuss representations of continuous groups bigger than SU(2) in detail. The material is presented at a level that M.Sc. and Ph.D. students can understand, with exercises throughout the text at points at which performing the exercises would be most beneficial. Anyone teaching a one-semester course will probably have to choose from the topics covered, because this text also contains advanced material that might not be covered within a semester due to lack of time. Thus it provides the teaching tool with the flexibility to customize the course to suit your needs.


AVR: An Introductory Course

AVR: An Introductory Course

Author: John Morton

Publisher: Elsevier

Published: 2002-09-06

Total Pages: 254

ISBN-13: 0080499724

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This book includes 15 programming and constructional projects, and covers the range of AVR chips currently available, including the recent Tiny AVR. No prior experience with microcontrollers is assumed.John Morton is author of the popular PIC: Your Personal Introductory Course, also published by Newnes.*The hands-on way of learning to use the Atmel AVR microcontroller*Project work designed to put the AVR through its paces*The only book designed to get you up-and-running with the AVR from square one


An Introductory Course in Functional Analysis

An Introductory Course in Functional Analysis

Author: Adam Bowers

Publisher: Springer

Published: 2014-12-11

Total Pages: 242

ISBN-13: 1493919458

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Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn–Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman–Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.


An Introductory Course in Lebesgue Spaces

An Introductory Course in Lebesgue Spaces

Author: Rene Erlin Castillo

Publisher: Springer

Published: 2016-06-23

Total Pages: 463

ISBN-13: 3319300342

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This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.


Classical Latin

Classical Latin

Author: J. C. McKeown

Publisher: Hackett Publishing

Published: 2010

Total Pages: 421

ISBN-13: 9780872208513

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Extensively field-tested and fine-tuned over many years, and designed specifically for a one-year course, JC McKeown's Classical Latin: An Introductory Course offers a thorough, fascinating, and playful grounding in Latin that combines the traditional grammatical method with the reading approach. In addition to grammar, paradigms, and readings, each chapter includes a variety of extraordinarily well-crafted exercises that reinforce the grammar and morphology while encouraging the joy of linguistic and cultural discovery.


Probability Theory

Probability Theory

Author: Yakov G. Sinai

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 148

ISBN-13: 366202845X

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Sinai's book leads the student through the standard material for ProbabilityTheory, with stops along the way for interesting topics such as statistical mechanics, not usually included in a book for beginners. The first part of the book covers discrete random variables, using the same approach, basedon Kolmogorov's axioms for probability, used later for the general case. The text is divided into sixteen lectures, each covering a major topic. The introductory notions and classical results are included, of course: random variables, the central limit theorem, the law of large numbers, conditional probability, random walks, etc. Sinai's style is accessible and clear, with interesting examples to accompany new ideas. Besides statistical mechanics, other interesting, less common topics found in the book are: percolation, the concept of stability in the central limit theorem and the study of probability of large deviations. Little more than a standard undergraduate course in analysis is assumed of the reader. Notions from measure theory and Lebesgue integration are introduced in the second half of the text. The book is suitable for second or third year students in mathematics, physics or other natural sciences. It could also be usedby more advanced readers who want to learn the mathematics of probability theory and some of its applications in statistical physics.


An Introductory Course on Mathematical Game Theory

An Introductory Course on Mathematical Game Theory

Author: Julio González-Díaz

Publisher: American Mathematical Society

Published: 2021-10-22

Total Pages: 324

ISBN-13: 1470465736

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Game theory provides a mathematical setting for analyzing competition and cooperation in interactive situations. The theory has been famously applied in economics, but is relevant in many other sciences, such as political science, biology, and, more recently, computer science. This book presents an introductory and up-to-date course on game theory addressed to mathematicians and economists, and to other scientists having a basic mathematical background. The book is self-contained, providing a formal description of the classic game-theoretic concepts together with rigorous proofs of the main results in the field. The theory is illustrated through abundant examples, applications, and exercises. The style is distinctively concise, while offering motivations and interpretations of the theory to make the book accessible to a wide readership. The basic concepts and results of game theory are given a formal treatment, and the mathematical tools necessary to develop them are carefully presented. Cooperative games are explained in detail, with bargaining and TU-games being treated as part of a general framework. The authors stress the relation between game theory and operations research. The book is suitable for a graduate or an advanced undergraduate course on game theory.


Graph Theory

Graph Theory

Author: Bela Bollobas

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 191

ISBN-13: 1461299675

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From the reviews: "Béla Bollobás introductory course on graph theory deserves to be considered as a watershed in the development of this theory as a serious academic subject. ... The book has chapters on electrical networks, flows, connectivity and matchings, extremal problems, colouring, Ramsey theory, random graphs, and graphs and groups. Each chapter starts at a measured and gentle pace. Classical results are proved and new insight is provided, with the examples at the end of each chapter fully supplementing the text... Even so this allows an introduction not only to some of the deeper results but, more vitally, provides outlines of, and firm insights into, their proofs. Thus in an elementary text book, we gain an overall understanding of well-known standard results, and yet at the same time constant hints of, and guidelines into, the higher levels of the subject. It is this aspect of the book which should guarantee it a permanent place in the literature." #Bulletin of the London Mathematical Society#1