how to solve it a new aspect of mathematical method princeton science library

Download Book How To Solve It A New Aspect Of Mathematical Method Princeton Science Library in PDF format. You can Read Online How To Solve It A New Aspect Of Mathematical Method Princeton Science Library here in PDF, EPUB, Mobi or Docx formats.

How To Solve It

Author : G. Polya
ISBN : 9781400828678
Genre : Mathematics
File Size : 47. 15 MB
Format : PDF, Kindle
Download : 576
Read : 994

Download Now


A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out—from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft—indeed, brilliant—instructions on stripping away irrelevancies and going straight to the heart of the problem.

The Stanford Mathematics Problem Book

Author : George Polya
ISBN : 9780486318325
Genre : Mathematics
File Size : 38. 97 MB
Format : PDF, ePub, Mobi
Download : 396
Read : 1277

Download Now


Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

Solving Mathematical Problems

Author : Terence Tao
ISBN : 9780199205615
Genre : Mathematics
File Size : 89. 12 MB
Format : PDF, ePub, Mobi
Download : 862
Read : 338

Download Now


Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of14 years and above in pure mathematics.

What Is Mathematics

Author : Richard Courant
ISBN : 0195105192
Genre : Mathematics
File Size : 22. 14 MB
Format : PDF
Download : 484
Read : 660

Download Now


A discussion of fundamental mathematical principles from algebra to elementary calculus designed to promote constructive mathematical reasoning.

Notes On Introductory Combinatorics

Author : George Polya
ISBN : 9781475711011
Genre : Science
File Size : 80. 95 MB
Format : PDF, ePub
Download : 939
Read : 827

Download Now


In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.

Mathematical Methods In Elasticity Imaging

Author : Habib Ammari
ISBN : 9781400866625
Genre : Mathematics
File Size : 89. 37 MB
Format : PDF, ePub, Mobi
Download : 832
Read : 199

Download Now


This book is the first to comprehensively explore elasticity imaging and examines recent, important developments in asymptotic imaging, modeling, and analysis of deterministic and stochastic elastic wave propagation phenomena. It derives the best possible functional images for small inclusions and cracks within the context of stability and resolution, and introduces a topological derivative–based imaging framework for detecting elastic inclusions in the time-harmonic regime. For imaging extended elastic inclusions, accurate optimal control methodologies are designed and the effects of uncertainties of the geometric or physical parameters on stability and resolution properties are evaluated. In particular, the book shows how localized damage to a mechanical structure affects its dynamic characteristics, and how measured eigenparameters are linked to elastic inclusion or crack location, orientation, and size. Demonstrating a novel method for identifying, locating, and estimating inclusions and cracks in elastic structures, the book opens possibilities for a mathematical and numerical framework for elasticity imaging of nanoparticles and cellular structures.

Problem Solving Through Problems

Author : Loren C. Larson
ISBN : 9781461254980
Genre : Mathematics
File Size : 58. 22 MB
Format : PDF, Docs
Download : 679
Read : 874

Download Now


This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Mathematical Discovery On Understanding Learning And Teaching Problem Solving

Author : George Pólya
ISBN : 4871878325
Genre : Mathematics
File Size : 33. 20 MB
Format : PDF, Docs
Download : 718
Read : 229

Download Now


"Solving problems," writes Polya, "is a practical art, like swimming, or skiing, or playing the piano: You can learn it only by imitation and practice. This book cannot offer you a magic key that opens all the doors and solves all the problems, but it offers you good examples for imitation and many opportunities for practice: If you wish to learn swimming you have to go into the water and if you wish to become a problem solver you have to solve problems." "In enough cases to allay . . . discouragement over not immediately discovering a solution, Professor Polya masterfully leads the reader down several unproductive paths. At the end of each chapter he provides examples for the render to solve. By means of these carefully selected and arranged problems, many of them directly related to others that precede, and guided by just the right suggestions at just the proper time, the reader's own ability is developed and extended. Solutions to the examples and, in many cases, outlines of procedures for discovering solutions. arc given at the back of the book. With striking promise for effectiveness, the entire book as a unit is one great experience in learning processes for problem solving through participation. The author has captured with great success the implication of his basic premise stated in the preface ..." The Mathematics Teacher

Infinity And The Mind

Author : Rudy Rucker
ISBN : 9781400849048
Genre : Mathematics
File Size : 53. 12 MB
Format : PDF, ePub, Docs
Download : 420
Read : 1138

Download Now


In Infinity and the Mind, Rudy Rucker leads an excursion to that stretch of the universe he calls the "Mindscape," where he explores infinity in all its forms: potential and actual, mathematical and physical, theological and mundane. Rucker acquaints us with Gödel's rotating universe, in which it is theoretically possible to travel into the past, and explains an interpretation of quantum mechanics in which billions of parallel worlds are produced every microsecond. It is in the realm of infinity, he maintains, that mathematics, science, and logic merge with the fantastic. By closely examining the paradoxes that arise from this merging, we can learn a great deal about the human mind, its powers, and its limitations. Using cartoons, puzzles, and quotations to enliven his text, Rucker guides us through such topics as the paradoxes of set theory, the possibilities of physical infinities, and the results of Gödel's incompleteness theorems. His personal encounters with Gödel the mathematician and philosopher provide a rare glimpse at genius and reveal what very few mathematicians have dared to admit: the transcendent implications of Platonic realism.

How To Solve It Modern Heuristics

Author : Zbigniew Michalewicz
ISBN : 9783662078075
Genre : Computers
File Size : 20. 72 MB
Format : PDF
Download : 674
Read : 163

Download Now


No pleasure lasts long unless there is variety in it. Publilius Syrus, Moral Sayings We've been very fortunate to receive fantastic feedback from our readers during the last four years, since the first edition of How to Solve It: Modern Heuristics was published in 1999. It's heartening to know that so many people appreciated the book and, even more importantly, were using the book to help them solve their problems. One professor, who published a review of the book, said that his students had given the best course reviews he'd seen in 15 years when using our text. There can be hardly any better praise, except to add that one of the book reviews published in a SIAM journal received the best review award as well. We greatly appreciate your kind words and personal comments that you sent, including the few cases where you found some typographical or other errors. Thank you all for this wonderful support.

Top Download:

Best Books