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In "Jefferson and Hamilton: The Struggle for Democracy in America," Claude G. Bowers intricately examines the ideological clash between two of America's founding fathers, Thomas Jefferson and Alexander Hamilton. Through a narrative rich in historical context, Bowers employs a compelling literary style that combines biographical detail with a vivid portrayal of the political dynamics of the late 18th century. The book adeptly analyzes how their conflicting visions for the young republic—Jefferson's agrarian democracy versus Hamilton's vision of a strong centralized government—shaped the nation's evolution and continues to resonate in contemporary discussions about democracy and governance. Claude G. Bowers was an esteemed American author and historian, well-versed in the complexities of American politics and history. His profound interest in the formative years of the United States, combined with his scholarly background, positions him uniquely to elucidate the intricacies of Jeffersonian and Hamiltonian thought. Bowers's commitment to exploring the socio-political landscape of early America is evident in his thorough research and engaging narrative style, making the historical figures not just figureheads but real people with passionate convictions. I highly recommend "Jefferson and Hamilton" to scholars, students, and anyone interested in understanding the foundational ideological struggles that have shaped American democracy. Bowers' work offers invaluable insights into the political philosophies that continue to influence contemporary debates, making this book a crucial exploration for any reader seeking to grasp the complexities of American political thought.

This expansive volume describes the history of numerical methods proposed for solving linear algebra problems, from antiquity to the present day. The authors focus on methods for linear systems of equations and eigenvalue problems and describe the interplay between numerical methods and the computing tools available at the time. The second part of the book consists of 78 biographies of important contributors to the field. A Journey through the History of Numerical Linear Algebra will be of special interest to applied mathematicians, especially researchers in numerical linear algebra, people involved in scientific computing, and historians of mathematics.

The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.

This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K L Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J-C Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested.

Covering a number of important subjects in quantum optics, this textbook is an excellent introduction for advanced undergraduate and beginning graduate students, familiarizing readers with the basic concepts and formalism as well as the most recent advances. The first part of the textbook covers the semi-classical approach where matter is quantized, but light is not. It describes significant phenomena in quantum optics, including the principles of lasers. The second part is devoted to the full quantum description of light and its interaction with matter, covering topics such as spontaneous emission, and classical and non-classical states of light. An overview of photon entanglement and applications to quantum information is also given. In the third part, non-linear optics and laser cooling of atoms are presented, where using both approaches allows for a comprehensive description. Each chapter describes basic concepts in detail, and more specific concepts and phenomena are presented in 'complements'.