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Real World Mathematics
This book is intended as a resource for those who wish to teach and learn mathematics through real world applications. The first part lists exercises which illustrate the use of various concepts and techniques at a level suitable for high schools and liberal arts colleges. Answers and brief notes accompany the questions. The second part of this book discusses the scientific method, mathematical modelling, and provides the background information for the exercises in the first part.
Physics
This book is a concise survey of the foundations of classical physics. It focuses on conceptual issues, and the various limitations that were later overcome with the development of quantum theory and Einstein's relativity. The presentation is aimed at enthusiasts in schools and beyond who have had some prior exposure to physics, but the uninitiated might also find some parts of this book to be informative. Topics covered include: Physics as information compression, the principle of relativity, cause and effect, symmetries and conservation laws, order and disorder, arrow of time, fields, waves, spontaneous symmetry breaking and emergence. Notes, exercises, and references have been included for those who are more inquisitive. Additional resources are on the book's webpage.
Simplicity in Complexity
How do scientists model crowd behaviour, epidemics, earthquakes or the internet? What can we learn from the collective intelligence and adaptability of an ant colony? This book answers such questions by highlighting common themes in the study of complex systems. Topics covered include self-organisation, emergence, agent-based simulations, complex networks, phase plane plots, fractals, chaos, measures of complexity, model building, and the scientific method. Explanations are simple and concise, with common misconceptions clarified. Numerous exercises help enthusiasts consolidate their understanding through peer learning. Supplementary resources are at the companion websites www.simplicitysg.net/books and www.facebook.com/simcomty.
School Mathematics
The volumes in the School Mathematics series contain brief review notes, selected questions with detailed solutions, and test questions with answers. Some questions in Volume 1 have been taken from the book " Integrated Mathematics for Explorers" by Adeline Ng and Rajesh R. Parwani, and the solutions from the accompanying Solutions Manual by Chee Leong Ching and Sun Jie.
School Mathematics
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.
Integrated Mathematics for Explorers
This book is for mathematics lovers, but if you are not one, we hope you soon will be. Although it mainly targets enthusiasts in high-school and liberal arts colleges, the book is structured to make learning interesting for students with different interests and backgrounds. Practice questions are of various levels of complexity and include many explorations of real-life situations: They develop understanding, build confidence and examine multiple concepts. Challenges have been included for the adventurous, while Investigations are suggested for self-study. The Escapades chapter contains stimulating puzzles to encourage experimentation, a list of unsolved mathematical problems, and a collection of wonderful theorems. The book includes simple tips to help the reader relax and re-energise. About the Authors: Adeline Ng and Dr. Rajesh Parwani are educators based in Singapore.
Handbook of Mathematics
This first edition is free. In addition to providing reference for the usual mathematics topics covered in high-schools and colleges, this book includes eclectic titbits to stimulate enquiry and investigation. The hyperlink enabled version of this first edition is available from the publisher's website www.simplicitysg.net/books. The second edition is now available for sale on Google Play and elsewhere! It contains additional material on power series, calculus, probability distribution, statistics, and other topics.
School Mathematics
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.
Solutions Manual
This manual contains solutions (no questions) to selected questions from the book Integrated Mathematics for Explorers by Adeline Ng and Rajesh R. Parwani: Detailed solutions to all exercises. Concise solutions to odd-numbered problems. Answers to even-numbered problems are online at www.simplicitysg.net/books/imaths The material here is at a level suitable for high-school students in the GCE-O level or IB programmes, or those in liberal arts colleges. Topics covered include exponents, logarithms, polynomial equations, rational functions, simultaneous equations, matrices, coordinate geometry, plane geometry, trigonometry, differential and integral calculus.
Quantum Infrared Physics
The common thread of the contributions collected here is an infrared approach to pressing problems in quantum field theory. Both high and low energy physics are represented, with much emphasis on QCD (Gribov horizons, infrared models, semiclassical applications, and effective Lagrangians). Other fields of interest are thermal infrared singularities, soft Pomeron physics, eikonal scattering phenomenology and the physics of bound states.
