A Math Primer for Engineers
A Math Primer for Engineers

Author: C.W. Cryer

Publisher: IOS Press

Published: 2014-03-04

Total Pages: 512

ISBN-13: 1614992991

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Mathematics and engineering are inevitably interrelated, and this interaction will steadily increase as the use of mathematical modelling grows. Although mathematicians and engineers often misunderstand one another, their basic approach is quite similar, as is the historical development of their respective disciplines. The purpose of this Math Primer is to provide a brief introduction to those parts of mathematics which are, or could be, useful in engineering, especially bioengineering. The aim is to summarize the ideas covered in each subject area without going into exhaustive detail. Formulas and equations have not been avoided, but every effort has been made to keep them simple in the hope of persuading readers that they are not only useful but also accessible. The wide range of topics covered includes introductory material such as numbers and sequences, geometry in two and three dimensions, linear algebra, and the calculus. Building on these foundations, linear spaces, tensor analysis and Fourier analysis are introduced. All these concepts are used to solve problems for ordinary and partial differential equations. Illustrative applications are taken from a variety of engineering disciplines, and the choice of a suitable model is considered from the point of view of both the mathematician and the engineer. This book will be of interest to engineers and bioengineers looking for the mathematical means to help further their work, and it will offer readers a glimpse of many ideas which may spark their interest.

Mathematical Modeling of Earth's Dynamical Systems
Mathematical Modeling of Earth's Dynamical Systems

Author: Rudy Slingerland

Publisher: Princeton University Press

Published: 2011-03-28

Total Pages: 246

ISBN-13: 1400839114

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A concise guide to representing complex Earth systems using simple dynamic models Mathematical Modeling of Earth's Dynamical Systems gives earth scientists the essential skills for translating chemical and physical systems into mathematical and computational models that provide enhanced insight into Earth's processes. Using a step-by-step method, the book identifies the important geological variables of physical-chemical geoscience problems and describes the mechanisms that control these variables. This book is directed toward upper-level undergraduate students, graduate students, researchers, and professionals who want to learn how to abstract complex systems into sets of dynamic equations. It shows students how to recognize domains of interest and key factors, and how to explain assumptions in formal terms. The book reveals what data best tests ideas of how nature works, and cautions against inadequate transport laws, unconstrained coefficients, and unfalsifiable models. Various examples of processes and systems, and ample illustrations, are provided. Students using this text should be familiar with the principles of physics, chemistry, and geology, and have taken a year of differential and integral calculus. Mathematical Modeling of Earth's Dynamical Systems helps earth scientists develop a philosophical framework and strong foundations for conceptualizing complex geologic systems. Step-by-step lessons for representing complex Earth systems as dynamical models Explains geologic processes in terms of fundamental laws of physics and chemistry Numerical solutions to differential equations through the finite difference technique A philosophical approach to quantitative problem-solving Various examples of processes and systems, including the evolution of sandy coastlines, the global carbon cycle, and much more Professors: A supplementary Instructor's Manual is available for this book. It is restricted to teachers using the text in courses. For information on how to obtain a copy, refer to: http://press.princeton.edu/class_use/solutions.html

3D Math Primer for Graphics and Game Development
3D Math Primer for Graphics and Game Development

Author: Fletcher Dunn

Publisher: CRC Press

Published: 2011-11-02

Total Pages: 847

ISBN-13: 1439869812

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This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for

A Primer on Scientific Programming with Python
A Primer on Scientific Programming with Python

Author: Hans Petter Langtangen

Publisher: Springer

Published: 2016-07-28

Total Pages: 942

ISBN-13: 3662498871

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The book serves as a first introduction to computer programming of scientific applications, using the high-level Python language. The exposition is example and problem-oriented, where the applications are taken from mathematics, numerical calculus, statistics, physics, biology and finance. The book teaches "Matlab-style" and procedural programming as well as object-oriented programming. High school mathematics is a required background and it is advantageous to study classical and numerical one-variable calculus in parallel with reading this book. Besides learning how to program computers, the reader will also learn how to solve mathematical problems, arising in various branches of science and engineering, with the aid of numerical methods and programming. By blending programming, mathematics and scientific applications, the book lays a solid foundation for practicing computational science. From the reviews: Langtangen ... does an excellent job of introducing programming as a set of skills in problem solving. He guides the reader into thinking properly about producing program logic and data structures for modeling real-world problems using objects and functions and embracing the object-oriented paradigm. ... Summing Up: Highly recommended. F. H. Wild III, Choice, Vol. 47 (8), April 2010 Those of us who have learned scientific programming in Python ‘on the streets’ could be a little jealous of students who have the opportunity to take a course out of Langtangen’s Primer.” John D. Cook, The Mathematical Association of America, September 2011 This book goes through Python in particular, and programming in general, via tasks that scientists will likely perform. It contains valuable information for students new to scientific computing and would be the perfect bridge between an introduction to programming and an advanced course on numerical methods or computational science. Alex Small, IEEE, CiSE Vol. 14 (2), March /April 2012 “This fourth edition is a wonderful, inclusive textbook that covers pretty much everything one needs to know to go from zero to fairly sophisticated scientific programming in Python...” Joan Horvath, Computing Reviews, March 2015

Secrets of Mental Math
Secrets of Mental Math

Author: Arthur Benjamin

Publisher: Crown

Published: 2006-08-08

Total Pages: 306

ISBN-13: 0307338401

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These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun. Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.

Backing The Bold: A Primer On Early-stage Venture Capital In Southeast Asia
Backing The Bold: A Primer On Early-stage Venture Capital In Southeast Asia

Author: Paulo Joquino

Publisher: World Scientific

Published: 2022-09-20

Total Pages: 472

ISBN-13: 9811264708

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Backing the Bold is a primer on the venture capital industry, business, and profession in Southeast Asia. The goal of the book's thirteen chapters has initially been to guide students of the Insignia Ventures Academy — Asia's first experiential venture capital accelerator — in their exploration of the venture capital industry and profession, specifically in the context of Southeast Asia's startup ecosystem and from the perspective of Insignia Ventures and its portfolio founders.Rather than being a book in the traditional sense of the word, such an origin and context for Backing the Bold has inevitably made this book a dynamic piece of literature, continuously growing and improving thanks to every new group of people who become part of the VC accelerator — as organizers, mentors, or participants.Now in print and in distribution, this first edition is available for all as a snapshot of Backing the Bold's progress as a continuously evolving repository of insights, best practices, and frameworks. It is for readers of any background or motivation to gain a better understanding of the venture capital investment process, portfolio management, and profession in the context of Southeast Asia's fast-growing technology markets.

Real Estate Math Express
Real Estate Math Express

Author: Stephen Mettling

Publisher: Performance Programs Company

Published: 2023-07-07

Total Pages: 104

ISBN-13: 1955919399

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Real Estate Math Express is a concise, easy-to-study test preparation guide to help real estate students improve their real estate math scores to pass the state licensing test. The primary feature of Real Estate Math Express is that it contains all necessary formulas and practice questions in 100+ pages. This enables you to truly cram for the math portion of your state’s licensure test, memorize key formulas, and walk into the exam site having all the essential material in your short-term memory! You simply cannot accomplish this using competing lengthy exam prep books. If you want a truly rapid review resource, Real Estate Math Express is for you. No frills, no lengthy explanations…..just key formulas, definitions, corresponding examples and practice questions. Real Estate Math Express can be broken down into 6 major units – Basic Math Primer, Real Property Applications, Valuation Applications, Finance Applications, Investment Applications, and Tax & Closing Applications. Each unit introduces each major real estate math topic and its corresponding formula(s). After each unit is a practice quiz to ensure mastery of each critical formula. Immediately after each quiz is an answer key with step-by-step rationales. Once the math formulas have been mastered, there are 110 sample questions for you to practice with. Each practice exam question has both an answer and an explanation of the correct answer at the end of the book. For additional real estate exam prep materials, please check out Performance Programs Company's Principles of Real Estate Practice and Real Estate License Exam Prep (RELEP) Series.