Chapter Zero

This book is designed for the sophomore/junior level Introduction to Advanced Mathematics course. Written in a modified R.L. Moore fashion, it offers a unique approach in which readers construct their

Wilhelm, the Sword Devil, has been swallowed whole by the demon beast known as the White Whale. What's more, the White Whale has split into three bodies! Amid this desperate fight, Subaru arrives at t

Having learned not to negotiate with his heart on his sleeve, Subaru suggests an alliance with Krusch Carsten's camp. To sweeten the deal, he offers to provide intel vital to their mutual survival: wh

With the power of "Return by Death," Subaru tries once again to save the residents of Roswaal Manor from a horrific fate!

Petelgeuse, the Archbishop of Sin, swears revenge on Subaru, who finds himself back in the royal capital. There, the candidates for queen of Lugunica brand him a nice and refuse to cooperate, when sud

Crusch Karsten, one of the candidates for Queen of Lugunica, has invited Subaru to dinner. What could her aim be?

Subaru continues to support Emilia in her campaign to become the new Queen of Lugunica. But another candidate shows up, and it's the last person Subaru expected!

Subaru returns with Emilia to the capital of Lugunica, where it all started for him. There, he runs into some (unfortunately) familiar faces...but also the other candidates for Queen of Lugunica!

After being suddenly summoned to another world, Subaru Natsuki realized he didn't have superhuman strength, no magic, and no special abilities--except for the ability "Return by Death", which brings h

Engrossing true stories of the pioneers of epidemiology who risked their lives to find the source of deadly diseases―now revised to include updated information and a new chapter on Covid-19.More peopl

Engrossing true stories of the pioneers of epidemiology who risked their lives to find the source of deadly diseases―now revised to include updated information and a new chapter on Covid-19.More peopl

江濤主編的《ZERO雅思聽力零起點(附光盤)》從雅思聽力考試四大題型出發，以真題演練終結，被科學系統地劃分為五個章節：Chapter1填空題Chapter2選擇題Chapter3搭配題Chapter4圖畫題Chapter5真題演練前四個Chapter是對雅思聽力各種題型的分類講解。其中Chapter1中的填空題又分為六大類別：Notes填空題、一般表格題、個人信息題、句子填空題、Summary

An updated edition of the self-published book that sold more than 100,000 copies, with a new chapter on the 2017 tax bill.There's a massive freight train bearing down on the average American investor,

This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of model theory in computer science. Each chapter finishes with a brief commentary on the literature and suggestions for further reading.

This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.

This book presents the reader with new operators and matrices that arise in the area of matrix calculus. The properties of these mathematical concepts are investigated and linked with zero-one matrices such as the commutation matrix. Elimination and duplication matrices are revisited and partitioned into submatrices. Studying the properties of these submatrices facilitates achieving new results for the original matrices themselves. Different concepts of matrix derivatives are presented and transformation principles linking these concepts are obtained. One of these concepts is used to derive new matrix calculus results, some involving the new operators and others the derivatives of the operators themselves. The last chapter contains applications of matrix calculus, including optimization, differentiation of log-likelihood functions, iterative interpretations of maximum likelihood estimators and a Lagrangian multiplier test for endogeneity.

This book presents the reader with new operators and matrices that arise in the area of matrix calculus. The properties of these mathematical concepts are investigated and linked with zero-one matrices such as the commutation matrix. Elimination and duplication matrices are revisited and partitioned into submatrices. Studying the properties of these submatrices facilitates achieving new results for the original matrices themselves. Different concepts of matrix derivatives are presented and transformation principles linking these concepts are obtained. One of these concepts is used to derive new matrix calculus results, some involving the new operators and others the derivatives of the operators themselves. The last chapter contains applications of matrix calculus, including optimization, differentiation of log-likelihood functions, iterative interpretations of maximum likelihood estimators and a Lagrangian multiplier test for endogeneity.

This book gives a comprehensive description of the physics and applications of resonant tunnelling diodes. The opening chapters of the book set out the basic principles of coherent tunnelling theory. The effects of impurity scattering, femtosecond dynamics, non-equilibrium distribution and intrinsic bistabilities are then described in detail. The applications of RTDs, such as in high-frequency signal generation and multi-valued data storage, are also reviewed. The book closes with a chapter devoted to the more recent field of resonant tunnelling through laterally confined zero-dimensional structures. Covering all the key theoretical and experimental aspects of this stimulating area of research, the book will be of great value to graduate students of quantum transport physics and device engineering, as well as to researchers in both these fields.

This book gives a comprehensive description of the physics and applications of resonant tunnelling diodes. The opening chapters of the book set out the basic principles of coherent tunnelling theory. The effects of impurity scattering, femtosecond dynamics, non-equilibrium distribution and intrinsic bistabilities are then described in detail. The applications of RTDs, such as in high-frequency signal generation and multi-valued data storage, are also reviewed. The book closes with a chapter devoted to the more recent field of resonant tunnelling through laterally confined zero-dimensional structures. Covering all the key theoretical and experimental aspects of this stimulating area of research, the book will be of great value to graduate students of quantum transport physics and device engineering, as well as to researchers in both these fields.

Csiszár and Körner's book is widely regarded as a classic in the field of information theory, providing deep insights and expert treatment of the key theoretical issues. It includes in-depth coverage of the mathematics of reliable information transmission, both in two-terminal and multi-terminal network scenarios. Updated and considerably expanded, this new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics. The presentations of all core subjects are self contained, even the advanced topics, which helps readers to understand the important connections between seemingly different problems. Finally, 320 end-of-chapter problems, together with helpful hints for solving them, allow readers to develop a full command of the mathematical techniques. It is an ideal resource for graduate students and researchers in electrical and electronic engineering, computer science

Csiszár and Körner's book is widely regarded as a classic in the field of information theory, providing deep insights and expert treatment of the key theoretical issues. It includes in-depth coverage of the mathematics of reliable information transmission, both in two-terminal and multi-terminal network scenarios. Updated and considerably expanded, this new edition presents unique discussions of information theoretic secrecy and of zero-error information theory, including the deep connections of the latter with extremal combinatorics. The presentations of all core subjects are self contained, even the advanced topics, which helps readers to understand the important connections between seemingly different problems. Finally, 320 end-of-chapter problems, together with helpful hints for solving them, allow readers to develop a full command of the mathematical techniques. It is an ideal resource for graduate students and researchers in electrical and electronic engineering, computer science

Financial Products provides a step-by-step guide to some of the most important ideas in financial mathematics. It describes and explains interest rates, discounting, arbitrage, risk neutral probabilities, forward contracts, futures, bonds, FRA and swaps. It shows how to construct both elementary and complex (Libor) zero curves. Options are described, illustrated and then priced using the Black Scholes formula and binomial trees. Finally, there is a chapter describing default probabilities, credit ratings and credit derivatives (CDS, TRS, CSO and CDO). An important feature of the book is that it explains this range of concepts and techniques in a way that can be understood by those with only a basic understanding of algebra. Many of the calculations are illustrated using Excel spreadsheets, as are some of the more complex algebraic processes. This accessible approach makes it an ideal introduction to financial products for undergraduates and those studying for professional financial qua

Financial Products provides a step-by-step guide to some of the most important ideas in financial mathematics. It describes and explains interest rates, discounting, arbitrage, risk neutral probabilities, forward contracts, futures, bonds, FRA and swaps. It shows how to construct both elementary and complex (Libor) zero curves. Options are described, illustrated and then priced using the Black Scholes formula and binomial trees. Finally, there is a chapter describing default probabilities, credit ratings and credit derivatives (CDS, TRS, CSO and CDO). An important feature of the book is that it explains this range of concepts and techniques in a way that can be understood by those with only a basic understanding of algebra. Many of the calculations are illustrated using Excel spreadsheets, as are some of the more complex algebraic processes. This accessible approach makes it an ideal introduction to financial products for undergraduates and those studying for professional financial qua

This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions. In the case of sets of integral dimension the dramatic differences between regular 'curve-like' sets and irregular 'dust like' sets are exhibited. The theory is related by duality to Kayeka sets (sets of zero area containing lines in every direction). The final chapter includes diverse examples of sets to which the general theory is applicable: discussions of curves of fractional dimension, self-similar sets, strange attractors, and examples from number theory, convexity and so on. There is an emphasis on the basic tools of the subject such as the Vitali covering lemma, net measures and Fourier transform methods.

Get up to speed with digital holography with this concise and straightforward introduction to modern techniques and conventions. Building up from the basic principles of optics, this book describes key techniques in digital holography, such as phase-shifting holography, low-coherence holography, diffraction tomographic holography and optical scanning holography, discussing their practical applications, and accompanied by all the theory necessary to understand the underlying principles at work. A further chapter covers advanced techniques for producing computer-generated holograms. Extensive Matlab code is integrated with the text throughout and available for download online, illustrating both theoretical results and practical considerations such as aliasing, zero padding and sampling. Accompanied by end-of-chapter problems and an online solutions manual for instructors, this is an indispensable resource for students, researchers and engineers in the fields of optical image processing a

本書是經典力學領域的經典著作，預備知識要求極低，僅需基礎微積分和本科基礎物理學知識，因此適合本科到研究生入門階段的課程使用，也適合數學、物理和工程專業的學生群體。This is an intuitively motivated presentation ofmany topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are： an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the “tennis racket paradox”; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between thedynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin’s Maximum Principle, and more. In the last chapter, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain