Search results for ""Author Kuldeep Singh""

Number theory is one of the oldest branches of mathematics that is primarily concerned with positive integers. While it has long been studied for its beauty and elegance as a branch of pure mathematics, it has seen a resurgence in recent years with the advent of the digital world for its modern applications in both computer science and cryptography. Number Theory: Step by Step is an undergraduate-level introduction to number theory that assumes no prior knowledge, but works to gradually increase the reader's confidence and ability to tackle more difficult material. The strength of the text is in its large number of examples and the step-by-step explanation of each topic as it is introduced to help aid understanding the abstract mathematics of number theory. It is compiled in such a way that allows self-study, with explicit solutions to all the set of problems freely available online via the companion website. Punctuating the text are short and engaging historical profiles that add context for the topics covered and provide a dynamic background for the subject matter.

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Engineering Mathematics through Applications is a new reference and self-study guide for professionals and students which uses applications from a wide range of technical disciplines to help teach the subject and convey its relevance. The mathematics is developed through clear and easy step-by-step examples rather than formal proofs, and the mathematical theory is supported by the use of technology in solving real life engineering problems. The answers to all the questions are included within, while complete worked solutions are available on the accompanying website. Provides complete detailed solutions to carefully selected exercises that reinforce the text, making it ideal an ideal self-study guide. Written in a chatty, user-friendly manner that will help motivate the reader. For those who might need it, an optional introductory refresher chapter covering indices, fractions, decimals, percentages and ratios is offered. Contains calculator and mathematical software examples and exercises. Arithematic for EngineersEngineering FormulaeVisualizing Engineering FormulaeFunctions in EngineeringTrigonometry and WaveformsLogarithmic, Exponential and Hyperbolic FunctionsDifferentiationEngineering Applications of DifferentiationIntegrationEngineering Applications of IntegrationComplex NumbersMatricesVectorsFirst Order Differential EquationsSecond Order Linear Differential EquationsPartial DifferentiationProbability and StatisticsSolutionsAppendix: Standard Normal Distribution TableIndex

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Linear algebra is a fundamental area of mathematics, and is arguably the most powerful mathematical tool ever developed. It is a core topic of study within fields as diverse as: business, economics, engineering, physics, computer science, ecology, sociology, demography and genetics. For an example of linear algebra at work, one needs to look no further than the Google search engine, which relies upon linear algebra to rank the results of a search with respect to relevance. The strength of the text is in the large number of examples and the step-by-step explanation of each topic as it is introduced. It is compiled in a way that allows distance learning, with explicit solutions to set problems freely available online. The miscellaneous exercises at the end of each chapter comprise questions from past exam papers from various universities, helping to reinforce the reader's confidence. Also included, generally at the beginning of sections, are short historical biographies of the leading players in the field of linear algebra to provide context for the topics covered. The dynamic and engaging style of the book includes frequent question and answer sections to test the reader's understanding of the methods introduced, rather than requiring rote learning. When first encountered, the subject can appear abstract and students will sometimes struggle to see its relevance; to counter this, the book also contains interviews with key people who use linear algebra in practice, in both professional and academic life. It will appeal to undergraduate students in mathematics, the physical sciences and engineering.

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