Monty S Functional Doctrine

Using a combination of new perspectives and new evidence, this book presents a reinterpretation of how 21st Army Group produced a successful combined arms doctrine by late 1944 and implemented this in early 1945. Historians, professional military personnel and those interested in military history should read this book, which contributes to the radical reappraisal of Great Britain’s fighting forces in the last years of the Second World War, with an exploration of the reasons why 21st Army Group was able in 1944–45 to integrate the operations of its armor and infantry. The key to understanding how the outcome developed lies in understanding the ways in which the two processes of fighting and the creation of doctrine interrelated. This requires both a conventional focus on command and a cross-level study of Montgomery and a significant group of commanders. The issue of whether or not this integration of combat arms (a guide to operational fighting capability) had any basis in a common doctrine is an important one. Alongside this stands the new light this work throws on how such doctrine was created. A third interrelated contribution is in answering how Montgomery commanded, and whether and to what extent, doctrine was imposed or generated. Further it investigates how a group of ‘effervescent’ commanders interrelated, and what the impact of those interrelationships was in the formulation of a workable doctrine. The book makes an original contribution to the debate on Montgomery’s command style in Northwest Europe and its consequences, and integrates this with tracking down and disentangling the roots of his ideas, and his role in the creation of doctrine for the British Army’s final push against the Germans. In particular the author is able to do something that has defeated previous authors: to explain how doctrine was evolved and, especially who was responsible for providing the crucial first drafts, and the role Montgomery played in revising, codifying and disseminating it.

The story of the battlefield in the 20th century was dominated by a handful of developments. Foremost of these was the introduction and refinement of tanks. In Tank Warfare, prominent military historian Jeremy Black offers a comprehensive global account of the history of tanks and armored warfare in the 20th and 21st centuries. First introduced onto the battlefield during the World War I, tanks represented the reconciliation of firepower and mobility and immediately seized the imagination of commanders and commentators concerned about the constraints of ordinary infantry. The developments of technology and tactics in the interwar years were realized in the German blitzkrieg in World War II and beyond. Yet the account of armor on the battlefield is a tale of limitations and defeats as well as of potential and achievements. Tank Warfare examines the traditional narrative of armored warfare while at the same time challenging it, and Black suggests that tanks were no "silver bullet" on the battlefield. Instead, their success was based on their inclusion in the general mix of weaponry available to commanders and the context in which they were used.

This book introduces a comprehensive framework tailored for dissecting complex systems across diverse disciplines. What defines a complex system? How can we harness information to quantify its order, structure, and intricacy? Delving into phenomena from the intricate processes in physical systems to the dynamic behaviours in cellular automata and pattern formation, readers will uncover the profound interplay between physics and information theory. This intricate relationship provides fresh insight into physical phenomena, reimagining them through the lens of information. Notably, the book demystifies how seemingly opposing forces—rising order and increasing disorder—coexist, ultimately shedding light on the second law of thermodynamics as an outcome of deterministic, reversible dynamics beneath the surface. Geared towards graduate students, this book presumes an undergraduate foundation in mathematics and physics, ensuring a deep, engaging exploration for its readers.

Theory of Statistical Inference is designed as a reference on statistical inference for researchers and students at the graduate or advanced undergraduate level. It presents a unified treatment of the foundational ideas of modern statistical inference, and would be suitable for a core course in a graduate program in statistics or biostatistics. The emphasis is on the application of mathematical theory to the problem of inference, leading to an optimization theory allowing the choice of those statistical methods yielding the most efficient use of data. The book shows how a small number of key concepts, such as sufficiency, invariance, stochastic ordering, decision theory and vector space algebra play a recurring and unifying role. The volume can be divided into four sections. Part I provides a review of the required distribution theory. Part II introduces the problem of statistical inference. This includes the definitions of the exponential family, invariant and Bayesian models. Basic concepts of estimation, confidence intervals and hypothesis testing are introduced here. Part III constitutes the core of the volume, presenting a formal theory of statistical inference. Beginning with decision theory, this section then covers uniformly minimum variance unbiased (UMVU) estimation, minimum risk equivariant (MRE) estimation and the Neyman-Pearson test. Finally, Part IV introduces large sample theory. This section begins with stochastic limit theorems, the δ-method, the Bahadur representation theorem for sample quantiles, large sample U-estimation, the Cramér-Rao lower bound and asymptotic efficiency. A separate chapter is then devoted to estimating equation methods. The volume ends with a detailed development of large sample hypothesis testing, based on the likelihood ratio test (LRT), Rao score test and the Wald test. Features This volume includes treatment of linear and nonlinear regression models, ANOVA models, generalized linear models (GLM) and generalized estimating equations (GEE). An introduction to decision theory (including risk, admissibility, classification, Bayes and minimax decision rules) is presented. The importance of this sometimes overlooked topic to statistical methodology is emphasized. The volume emphasizes throughout the important role that can be played by group theory and invariance in statistical inference. Nonparametric (rank-based) methods are derived by the same principles used for parametric models and are therefore presented as solutions to well-defined mathematical problems, rather than as robust heuristic alternatives to parametric methods. Each chapter ends with a set of theoretical and applied exercises integrated with the main text. Problems involving R programming are included. Appendices summarize the necessary background in analysis, matrix algebra and group theory.

Historian John Buckley offers a radical reappraisal of Great Britain’s fighting forces during World War Two, challenging the common belief that the British Army was no match for the forces of Hitler’s Germany. Following Britain’s military commanders and troops across the battlefields of Europe, from D-Day to VE-Day, from the Normandy beaches to Arnhem and the Rhine, and, ultimately, to the Baltic, Buckley’s provocative history demonstrates that the British Army was more than a match for the vaunted Nazi war machine. This fascinating revisionist study of the campaign to liberate Northern Europe in the war’s final years features a large cast of colorful unknowns and grand historical personages alike, including Field Marshal Sir Bernard Montgomery and the prime minister, Sir Winston Churchill. By integrating detailed military history with personal accounts, it evokes the vivid reality of men at war while putting long-held misconceptions finally to rest.

This new edition of Paediatric Dentistry is a trustworthy guide to the essentials of paediatric dentistry for both students and practitioners alike. Written in a user-friendly style, this textbook contains over 18 fully up-to-date and comprehensive chapters. All content has been carefully structured to ensure the reader is provided with both key theoretical and practical information on paediatric dental care. Chapter content ranges from dental trauma and child safeguarding through to prevention and restorative treatments, in addition to further content on oral surgery and paediatric oral medicine. Each chapter is complemented by the use of key point boxes, full colour illustrations, and photographs to enhance the understanding clinical technique. With recommended further reading and extensive key references, this core text also encourages students to critically analyse and evaluate evidence. Edited by a team of experts in the field, this is an excellent introduction to the field of paediatric dentistry for both undergraduate and post-graduate students as well as a key source of reference for practising clinicians.

Various interpretations of quantum mechanics have been proposed such as the Copenhagen interpretation and the many-worlds interpretation. The linguistic Copenhagen interpretation in this book is a kind of the Copenhagen interpretation derived from von Neumann's formulation of quantum mechanics on Hilbert spaces. Von Neumann had the widest coverage of any mathematician of his time, integrating pure and applied sciences and making major contributions to many fields, including mathematics, physics, economics, computing, and statistics. He was not a genius who specialised only in mathematics and physics, but an all-round genius. From this fact we are tempted to expect the following. (#1) the quantum theory generated from the linguistic Copenhagen interpretation called Quantum Language (QL) is a very large theory that includes not only quantum mechanics of physics but also classical statistics. More generally we may say (#2) QL is the scientific realisation of the dualistic idealism of philosophy. In this book I devote myself to proving (#1). QL consists of two axioms (measurement and causality) and the linguistic Copenhagen interpretation. I first prove von Neumann-Lüders projection postulate in QL. This is a solution in QL, and it is undecided whether it is a physical solution, but the theorem allows QL to be discussed without being interfered by various paradoxes (e.g., Schrödinger's cat, etc.). Also, recall that there are no axioms in statistics. This means that we do not yet have 'theoretical statistics'. However, if we consider that QL for classical systems = theoretical statistics, we can then introduce an elegant understanding into statistics. In most books of statistics, Fisher's maximum likelihood method is not given a due treatment. From the quantum linguistic point of view, the most basic arguments are Fisher's maximum likelihood method and regression analysis. They are strongly linked to the measurement and causality axioms, respectively. As modern statistics continues to develop rapidly in the direction of application now, it is essential to take an overview of statistics as a whole under an umbrella of theoretical statistics. For (#2), refer to my previous book (i.e., History of Western Philosophy from a perspective of quantum theory- Introduction to theory of everyday science– Shiho-Shuppan Publisher, 425 p. (2023)). Throughout this book as wall as the one above, I assert that von Neumann's formulation of quantum mechanics should not be confined in physics, but should be regarded as a fundamental theory of science.

This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.