Mathematics Reference Book For Scientists And Engineers
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Mathematics Reference Book for Scientists and Engineers
This is a handbook for scientists, engineers and those intersted in mathematics and its applications. It presents a brief history of mathematics followed by a summary of basic undergraduate methods, techniques and formulas together with numerous fi gures and examples. Within the text is a summary of the basic formulas from algebra, trigonometry, plane geometry, solid geometry, calculus, vector calculus, ordinary differential equations, probability and statistics along with diagrams and illustrations showing how formulas are to be applied. This is followed by a chapter on special functions which arise in a variety of mathematics applications. The fi nal chapter is a collection of selected applied mathematics applications taken from the subject areas of mechanics, physics and chemistry. There are three appendices. The appendix A contains units of measurement from the Système International d' Unitès (designated SI in all Languages). The appendix B contains tables of integrals for both indefi nite and defi nite integrals, with over 850 integrals presented. The appendix C contains miscellaneous topics that students entering the fi elds of science or engineering should be aware of. There is also an extensive index to aid in fi nding information about a specifi c topic. This handbook presents a summary of selected mathematics topics from college/university level mathematics courses. Fundamental principles are reviewed and presented by way of examples, fi gures, tables and diagrams. It condenses and presents under one cover basic concepts from several different applied mathematics topics. The following topics are examined: History of mathematics Geometry Algebra and Trigonometry Calculus and Vector Calculus Ordinary Differential Equations Probability and Statistics Selected topics from Physics and Chemistry Selected applied mathematics topics Numerous applications of mathematics Special functions Numerical Methods Table of integrals Syst`eme International d'Unit`es
Math Refresher for Scientists and Engineers
Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value. The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes: * A chapter on integral equations * A chapter on calculus of variations * A chapter on tensor analysis * A section on time series * A section on partial fractions * Many new exercises and solutions Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix. Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.
Fundamental Math and Physics for Scientists and Engineers
Provides a concise overview of the core undergraduate physics and applied mathematics curriculum for students and practitioners of science and engineering Fundamental Math and Physics for Scientists and Engineers summarizes college and university level physics together with the mathematics frequently encountered in engineering and physics calculations. The presentation provides straightforward, coherent explanations of underlying concepts emphasizing essential formulas, derivations, examples, and computer programs. Content that should be thoroughly mastered and memorized is clearly identified while unnecessary technical details are omitted. Fundamental Math and Physics for Scientists and Engineers is an ideal resource for undergraduate science and engineering students and practitioners, students reviewing for the GRE and graduate-level comprehensive exams, and general readers seeking to improve their comprehension of undergraduate physics. Covers topics frequently encountered in undergraduate physics, in particular those appearing in the Physics GRE subject examination Reviews relevant areas of undergraduate applied mathematics, with an overview chapter on scientific programming Provides simple, concise explanations and illustrations of underlying concepts Succinct yet comprehensive, Fundamental Math and Physics for Scientists and Engineers constitutes a reference for science and engineering students, practitioners and non-practitioners alike.