Author: S. P. Venkateshan Publisher: Springer Nature ISBN: 3031082265 Category : Technology & Engineering Languages : en Pages : 824
Book Description
The book is designed to serve as a textbook for courses offered to graduate and upper-undergraduate students enrolled in mechanical engineering. The book attempts to make students with mathematical backgrounds comfortable with numerical methods. The book also serves as a handy reference for practicing engineers who are interested in applications. The book is written in an easy-to-understand manner, with the essence of each numerical method clearly stated. This makes it easy for professional engineers, students, and early career researchers to follow the material presented in the book. The structure of the book has been modeled accordingly. It is divided into four modules: i) solution of a system of equations and eigenvalues which includes linear equations, determining eigenvalues, and solution of nonlinear equations; ii) function approximations: interpolation, data fit, numerical differentiation, and numerical integration; iii) solution of ordinary differential equations—initial value problems and boundary value problems; and iv) solution of partial differential equations—parabolic, elliptic, and hyperbolic PDEs. Each section of the book includes exercises to reinforce the concepts, and problems have been added at the end of each chapter. Exercise problems may be solved by using computational tools such as scientific calculators, spreadsheet programs, and MATLAB codes. The detailed coverage and pedagogical tools make this an ideal textbook for students, early career researchers, and professionals.
Author: Melvin Goldstein Publisher: Trafford Publishing ISBN: 1412253551 Category : Science Languages : en Pages : 874
Book Description
The science of Physics is based on observations that lead to the formulation of mathematical relationships between measured quantities. Some would consider Physics an exact science. Its discoveries and laws are basic to understanding in all areas of science and technology. Four Physics foibles 1) Kurt Godel proved that there are unknowables in our mathematics. 2) Werner Heisenberg showed that there are uncertainties in our measurements. 3) Entropy says that we can only predict the probabilities of events. 4)Chaos Theory deals with things that are effectively impossible to predict like turbulence and long term weather forecasting. The word foible as defined by Webster: An odd feature or mild failing in a person's character a weakness. In fencing, the weaker part of a sword blade. It is the acceptance of these foibles in Physics that has led to broader understanding. In the process of examining these 'weaknesses' in science, many creative and practical solutions have been discovered. There are a number of original computer programs throughout the book. No other person, living or dead - other than the author - has edited or examined the programs. No effort has been made to optimize any of these programs. The author has relied on the computer's results to serve as his default editor. Computer programs are included that take you through puzzles and paradoxes, distribute molecules, follow ameba populations, prove and disprove Murphy's Law, flip coins, and play lottery and casino games. Many have asked about the book. Some with a technical background - and some not - have questioned: What do dice, poker, lotto, and heads-or-tails have to do with Physics? The mathematical study of games of chance is as old as mathematics itself. The connection between games of chance and Nature's laws can be rigorously refined in the field of Statistical Mathematics. If you can analyze multiple coin flips, you can view molecular distribution. If you can understand the results of a game of Roulette, you can understand Radioactive decay. Also included are polls, number systems, wave packets, the search for Pi and the elusive Random, Internet quotes, and more. And in the the process of reading, stop and listen to the words of the science gurus displayed in cartoons throughout.
Author: Socrates Co. Publisher: ISBN: Category : Languages : en Pages : 421
Book Description
This book contains 1 million digits of pi on 371 pages (Decimal Places from 1 to 1,000,000) and is the perfect gift for everyone who loves math, especially on Pi day and for birthdays!ESTIMATED NUMBERS PER PAGE: 2714NUMBER OF PAGES: 371 pagesPAPER / TRIM SIZE: 6" x 9" (15,24cm x 22,86 cm)PAPER COLOR: White paperCOVER: Softcover paperback - glossy finishBOOK BINDING: Perfect bound
Author: Britannica Educational Publishing Publisher: Britannica Educational Publishing ISBN: 1615302182 Category : Juvenile Nonfiction Languages : en Pages : 288
Book Description
Communication and, indeed, our comprehension of the world in general are largely ordered by the number and measurement systems that have arisen over time. This book delves into the history of mathematical reasoning and the progression of numerical thought around the world. With detailed biographies of seminal thinkers and theorists, readers develop a sophisticated understanding of some of the most fundamental arithmetical concepts as well as the individuals who established them.
Author: Hoon Hong Publisher: World Scientific ISBN: 9814550108 Category : Languages : en Pages : 450
Book Description
These proceedings are devoted to communicating significant developments in all areas pertinent to Parallel Symbolic Computation.The scope includes algorithms, languages, software systems and application in any area of parallel symbolic computation, where parallelism is interpreted broadly to include concurrent, distributive, cooperative schemes, and so forth.
Author: M. E. Lines Publisher: CRC Press ISBN: 1000111156 Category : Mathematics Languages : en Pages : 225
Book Description
Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.
Author: Lines M E Publisher: CRC Press ISBN: 9780852744956 Category : Mathematics Languages : en Pages : 228
Book Description
Why do we count the way we do? What is a prime number or a friendly, perfect, or weird one? How many are there and who has found the largest yet known? What is the Baffling Law of Benford and can you really believe it? Do most numbers you meet in every day life really begin with a 1, 2, or 3? What is so special about 6174? Can cubes, as well as squares, be magic? What secrets lie hidden in decimals? How do we count the infinite, and is one infinity really larger than another? These and many other fascinating questions about the familiar 1, 2, and 3 are collected in this adventure into the world of numbers. Both entertaining and informative, A Number for Your Thoughts: Facts and Speculations about Numbers from Euclid to the Latest Computers contains a collection of the most interesting facts and speculations about numbers from the time of Euclid to the most recent computer research. Requiring little or no prior knowledge of mathematics, the book takes the reader from the origins of counting to number problems that have baffled the world's greatest experts for centuries, and from the simplest notions of elementary number properties all the way to counting the infinite.
Author: Ian Stewart Publisher: Basic Books ISBN: 0465042716 Category : Mathematics Languages : en Pages : 353
Book Description
Renowned mathematician Ian Stewart uses remarkable (and some unremarkable) numbers to introduce readers to the beauty of mathematics. At its heart, mathematics is about numbers, our fundamental tools for understanding the world. In Professor Stewart's Incredible Numbers, Ian Stewart offers a delightful introduction to the numbers that surround us, from the common (Pi and 2) to the uncommon but no less consequential (1.059463 and 43,252,003,274,489,856,000). Along the way, Stewart takes us through prime numbers, cubic equations, the concept of zero, the possible positions on the Rubik's Cube, the role of numbers in human history, and beyond! An unfailingly genial guide, Stewart brings his characteristic wit and erudition to bear on these incredible numbers, offering an engaging primer on the principles and power of math.
Author: Victor Klee Publisher: American Mathematical Soc. ISBN: 1470454610 Category : Education Languages : en Pages : 333
Book Description
Victor Klee and Stan Wagon discuss some of the unsolved problems in number theory and geometry, many of which can be understood by readers with a very modest mathematical background. The presentation is organized around 24 central problems, many of which are accompanied by other, related problems. The authors place each problem in its historical and mathematical context, and the discussion is at the level of undergraduate mathematics. Each problem section is presented in two parts. The first gives an elementary overview discussing the history and both the solved and unsolved variants of the problem. The second part contains more details, including a few proofs of related results, a wider and deeper survey of what is known about the problem and its relatives, and a large collection of references. Both parts contain exercises, with solutions. The book is aimed at both teachers and students of mathematics who want to know more about famous unsolved problems.
Author: Harley Hahn Publisher: McGraw-Hill/Osborne Media ISBN: 9780072127850 Category : Computers Languages : en Pages : 902
Book Description
Lists and describes Internet resources on subjects ranging from agriculture to zoology, pointing out those that are useful, bizarre, or otherwise noteworthy.
Author: S. P. Venkateshan
Author: Melvin Goldstein
Author: Socrates Co.
Author: Britannica Educational Publishing
Author: Hoon Hong
Author: M. E. Lines
Author: Lines M E
Author: Ian Stewart
Author: Victor Klee
Author: Harley Hahn