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This manual contains solutions to questions (not included here) from the book ` Real World Mathematics' by W. K. Ng and R. Parwani. The material here is suitable for high-schools and colleges. Topics covered: exponents, logarithms, polynomial equations, rational functions, simultaneous equations, matrices, coordinate and plane geometry, trigonometry, calculus, vectors and complex numbers.
The volumes in the School Mathematics series contain brief review notes, selected questions with solutions, and test questions with answers. Most questions have been selected, with some modification, from the books `Integrated Mathematics for Explorers' by Adeline Ng and R. Parwani, and `Real World Mathematics' by W.K. Ng and R. Parwani. The solutions are edited from the corresponding Solutions Manuals by C.L. Ching and Sun Jie, and Y.L. Len and M.H. Thong.
This book consolidates in six chapters the Volumes 1 through 6 of the School Mathematics series published by SRI Books. It contains brief review notes, examples with detailed solutions, and test questions with answers on the following topics: Algebra, Geometry, Trigonometry, Calculus, and Real World Applications.
Common sense philosophy holds that widely and deeply held beliefs are justified in the absence of defeaters. While this tradition has always had its philosophical detractors who have defended various forms of skepticism or have sought to develop rival epistemological views, recent advances in several scientific disciplines claim to have debunked the reliability of the faculties that produce our common sense beliefs. At the same time, however, it seems reasonable that we cannot do without common sense beliefs entirely. Arguably, science and the scientific method are built on, and continue to depend on, common sense. This collection of essays debates the tenability of common sense in the face ...
These lecture notes cover Classical Mechanics at the level of second-year undergraduates. The book offers comprehensive as well as self-contained material that can be taught in a one-semester course for students with the minimal background knowledge acquired in preuniversity education or in the usual first-year overview. The presentation does not skip the technical details which renders the book particularly well-suited for the self-studying student.
Quantum-state estimation is an important field in quantum information theory that deals with the characterization of states of affairs for quantum sources. This book begins with background formalism in estimation theory to establish the necessary prerequisites. This basic understanding allows us to explore popular likelihood- and entropy-related estimation schemes that are suitable for an introductory survey on the subject. Discussions on practical aspects of quantum-state estimation ensue, with emphasis on the evaluation of tomographic performances for estimation schemes, experimental realizations of quantum measurements and detection of single-mode multi-photon sources. Finally, the concepts of phase-space distribution functions, which compatibly describe these multi-photon sources, are introduced to bridge the gap between discrete and continuous quantum degrees of freedom.This book is intended to serve as an instructive and self-contained medium for advanced undergraduate and postgraduate students to grasp the basics of quantum-state estimation. Any reader with a solid foundation in quantum mechanics, linear algebra and calculus would be able to follow the book comfortably.
The Julian Schwinger Centennial Conference of 2018 assembled many of Schwinger's students, colleagues, and friends to celebrate this towering figure of twentieth century physics one hundred years after his birth. This proceedings volume collects talks delivered on this occasion. They cover a wide range of topics, all related to Schwinger's rich scientific legacy — supplemented by personal recollections about Julian Schwinger, the physicist, the teacher, and the gentleman.Also included are an essay of 1985, co-authored by Schwinger but not published previously, as well as the transcripts of speeches by distinguished colleagues at the 1978 gathering when Schwinger's sixtieth birthday was celebrated.
These lecture notes cover Statistical Mechanics at the level of advanced undergraduates or postgraduates. After a review of thermodynamics, statistical ensembles are introduced, then applied to ideal gases, including degenerate gases of bosons and fermions, followed by a treatment of systems with interaction, of real gases, and of stochastic processes.The book offers a comprehensive and detailed, as well as self-contained, account of material that can and has been covered in a one-semester course for students with a basic understanding of thermodynamics and a solid background in classical mechanics.
The laws of thermodynamics are amongst the most assured and wide-ranging of all scientific laws. They do not pretend to explain any observation in molecular terms but, by showing the necessary relationships between different physical properties, they reduce otherwise disconnected results to compact order, and predict new effects. This classic title, first published in 1957, is a systematic exposition of principles, with examples of applications, especially to changes of places and the conditions for stability. In all this entropy is a key concept.
This book provides a comprehensive introduction to quantum image processing, which focuses on extending conventional image processing tasks to the quantum computing frameworks. It summarizes the available quantum image representations and their operations, reviews the possible quantum image applications and their implementation, and discusses the open questions and future development trends. It offers a valuable reference resource for graduate students and researchers interested in this emerging interdisciplinary field.