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1. The Golden Ratio : The Story of PHI, the World's Most Astonishing Number by MARIO LIVIO | |
list price: $14.95
our price: $10.17 (price subject to change: see help) Asin: 0767908163 Catlog: Book (2003-09-23) Publisher: Broadway Sales Rank: 1405 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description
Reviews (40)
Pursuing the Mysteries of the Ubiquitous Number Phi Then he describes the role of the Greek mathematicians Plato and Euclid, and the Italian mathematician Leonardo Fibonacci in the history of phi, together with the geometrical and arithmetical wonders connected to this number. One example of the wonders is the relation between the Fibonacci sequence and phi. The Fibonacci sequence 1, 1, 2, 3, 5, 8, ... is defined as a series of numbers in which each term is the sum of the two preceding terms. The ratio of successive numbers of this sequence approaches phi as we go farther and farther down the sequence. Next come the topics of phi found in nature and used in arts. The logarithmic spiral, which goes hand in hand with the Golden Radio, appears in the sunflower, the flight of a falcon, galaxies, etc. The author's study of many historical attempts to disclose the Golden Ratio in various works of art, pieces of music and poetry comes to the conclusion that ... (I have to refrain from writing the ending of the "detective story"). In the final chapter Livio considers the question: What is the reason that mathematics and numerical constants like phi play such a central role in topics ranging from fundamental theories of the universe to the stock market? Noting that the discussion about this question can fill the entire volume, the author gives a brief (but very understandable) description of the modified Platonic view and the natural selection interpretation. He also presents his personal opinion, which adopts complementarity of the above two views. This chapter whets readers' appetite for a possible next book on this topic to be written by Livio. I strongly recommend "The Golden Ratio" to scientists, artists and laypersons that are interested in the wonders of numbers and mathematics and in their relations to arts and nature.
Golden Indeed! Writing about science in a way that is both knowledgeable and understandable for the common reader is an infamous hurdle, but Livio leaps over it with the greatest of ease, giving clear explanations of every potentially difficult matter and providing the scientific proofs in the appendices, for those more mathematically inclined. Overall, though, it is the great humanity of Livio's worldview that shines through the book and makes it, at least for me, one of the most memorable reads of the year.
A Difficult Mathematical Concept Revealed It is little wonder that such numbers as the Golden Ratio were considered magical. The never ending, never repeating number that cannot ever be expressed as a fraction has an uncanny tendency to show up in the oddest places, not only galactic structure and nautilus shells, but in plant parts and composition of paintings and music. Unfortunately magical numerology can lead to far-fetched relationships, as to the so-called number of the beast (666), and to academicism in art. Just because the Golden Ratio results in a pleasing relationship in a composition we are not tied to always measure art on how well it fits that ratio! Livio has illuminated the history of the Golden Ratio in such a way that much of the associated themes can be understood by the reasonably educated laymen. While some of the book can be tough sledding for most of us non-mathematicians, the gist is available to all with some effort. Read this book to learn about the history of interpretation and misinterpretation of mathematical concepts.
A great guide to an amazing number Livio explains the original formulation of this number by Euclid and proceeds to address the various times in history in which it may have been employed by architects, artists and musicians. I think this is a really good book if you're interested in reading about the most "irrational of all irrational numbers".
Mathematically Profound |
2. Operations Research : Applications and Algorithms (with CD-ROM and InfoTrac) by Wayne L. Winston | |
list price: $132.95
our price: $127.95 (price subject to change: see help) Asin: 0534380581 Catlog: Book (2003-07-25) Publisher: Duxbury Press Sales Rank: 163646 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
3. Calculations for Molecular Biology and Biotechnology: A Guide to Mathematics in the Laboratory by Frank H. Stephenson | |
list price: $44.95
our price: $44.95 (price subject to change: see help) Asin: 0126657513 Catlog: Book (2003-05) Publisher: Academic Press Sales Rank: 78954 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description
Reviews (1)
A Calculator and This Book on Every Lab Bench Adults and students in my three-year biotechnology pathway (San Mateo Biotechnology Career Pathway) have weak, incomplete or dated math backgrounds. Dr. Stephenson's "Calculations for Molecular Biology anf Biotechnology" quickly and clearly explains and demonstrates how to make the most common calculations done in biotechnology research and manufacturing. In a conversational way, that puts users of all levels at ease, the book does a particularly good job of presenting text in small, digestible amounts with practice problems and answers directly following. For my program, Chapter 1 (Scientific Notation and Metric Prefixes) and Chapter 2 (Solutions, Mixtures, and Media) are excellent reviews and remediation of calculations taught in the first semester's standard lab training. Other chapters include several sections that are used or could be used as reference for my second and third year students. Some of these include bacterial growth curves and cell culture concentrations (Chapter 3), DNA Quantitation using spectrophotometers and gels (Chapter 5), PCR reactants concentration and preparation (Chapter 8), Protein Quantitation using spectrophotometry (Chapter 10), and Data Analysis (Chapter 12). One of the things I like best about the book is that there are so many topics presented that my students have proposed several new research ideas utilizing the techniques and calculations presented. I recommend this book as a reference for technicians, researchers, students, and teachers who work or are training to work in biotechnology labs or manufacturing facilities. ... Read more |
4. Mathematics by Experiment: Plausible Reasoning in the 21st Century by Jonathan M. Borwein, David H. Bailey | |
list price: $45.00
our price: $45.00 (price subject to change: see help) Asin: 1568812116 Catlog: Book (2003-12-01) Publisher: AK Peters, Ltd. Sales Rank: 145583 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description This book presents the rationale and historical context of experimental mathematics, and includes a series of examples that best portray the experimental methodology. For more examples and insights, the book, "Experimentation in Mathematics: Computational Paths to Discovery" is a highly recommended companion. . ... Read more Reviews (2)
A thoroughly detailed work
A Mathematical Paradigm Shift They write that applied mathematicians and many scientists and engineers were quick to embrace computer technology, while pure mathematicians -- whose field gave rise to computers in the first place, through the work of beautiful minds like Alan Turing's -- were slower to see the possibilities. Two decades ago, when Bailey and Borwein started collaborating, "there appeared to be a widespread view in the field that 'real mathematicians don't compute.'" Their book is testament to a paradigm shift in the making. Hardware has "skyrocketed in power and plummeted in cost," and powerful mathematical software has come on the market. Just as important, "a new generation of mathematicians is eagerly becoming skilled at using these tools" -- people comfortable with the notion that "the computer provides the mathematician with a 'laboratory' in which he or she can perform experiments: analyzing examples, testing out new ideas, or searching for patterns." In this virtual laboratory Bailey and Borwein, with other colleagues, were among the first to discover a number of remarkable new algorithms, among them an extraordinary, simple formula for finding any hexadecimal or binary digit of pi without knowing any of the preceding digits. Further research led to proof that a wide class of fundamental constants are mathematically "normal" -- probably including pi, alhough that remains to be proved. Their section on "proof versus truth" is an example of the gems even a mathematical tyro can find among these equations. Bailey and Borwein don't claim computers can supply rigorous proofs. Rather, the computer is a way to discover truths -- and avenues for approaching formal proofs. But often, the authors add, "computations constitute very strong evidence..., at least as compelling as some of the more complex formal proofs in the literature." Drawing on their own work and that of others, Bailey and Borwein not only explain experimental mathematics in a lively, surprisingly accessible fashion but give many engaging examples of the "new paradigm" in action. ... Read more |
5. Design and Analysis of Experiments (Springer Texts in Statistics) by Angela Dean, D. T. Voss | |
list price: $97.00
our price: $82.45 (price subject to change: see help) Asin: 0387985611 Catlog: Book (1999-01-01) Publisher: Springer-Verlag Sales Rank: 332685 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
6. Philosophy of Mathematics : Selected Readings | |
list price: $47.00
our price: $47.00 (price subject to change: see help) Asin: 052129648X Catlog: Book (1984-01-27) Publisher: Cambridge University Press Sales Rank: 307054 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
7. How Many Subjects? : Statistical Power Analysis in Research by Helena Chmura Kraemer | |
list price: $53.95
our price: $53.95 (price subject to change: see help) Asin: 0803929498 Catlog: Book (1987-09-01) Publisher: SAGE Publications Sales Rank: 253198 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
8. Math Word Problems Demystified (Demystified) by Allan G. Bluman | |
list price: $19.95
our price: $13.57 (price subject to change: see help) Asin: 0071443169 Catlog: Book (2004-07-27) Publisher: McGraw-Hill Professional Sales Rank: 442577 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
9. An Introduction to Quantum Theory (Oxford Graduate Texts in Mathematics, 1) by Keith Hannabuss | |
list price: $84.50
our price: $84.50 (price subject to change: see help) Asin: 0198537948 Catlog: Book (1997-06-01) Publisher: Oxford University Press Sales Rank: 616418 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (1)
Great book, but not an introduction. It makes a good companion to the Feynman book where you have the physics greatly explained but little mathematical detail. If you are new tho the subject look somewhere else first. If you want to know how to get results from the theory this is the book. ... Read more |
10. An Introduction to Measure and Integration by Inder K. Rana | |
list price: $59.00
our price: $59.00 (price subject to change: see help) Asin: 0821829742 Catlog: Book (2002-10-29) Publisher: American Mathematical Society Sales Rank: 877195 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The book is written in an informal style to make the subject matter easily accessible. Concepts are developed with the help of motivating examples, probing questions, and many exercises. It would be suitable as a textbook for an introductory course on the topic or for self-study. For this edition, more exercises and four appendices have been added. ... Read more |
11. The Theory of the Riemann Zeta-Function (Oxford Science Publications) by E.C. Titchmarsh | |
list price: $99.50
our price: $99.50 (price subject to change: see help) Asin: 0198533691 Catlog: Book (1987-03-01) Publisher: Oxford University Press Sales Rank: 259238 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (3)
Oxford strong on salas and hille's little o(h) Up pops the missing associativity quaternion... rather simple. Now... then Nash's ordinal and quaternions for taste. If one's sister is a Bonnie Ploger Ken Y. Bonnie J. Ploger at Hamline... The internet religious fall river line. Ord def for beta called for. What is the axiomatic language of the Riemann hypothesis? Ordinality, Zermelo, Schroeder, Peano.. Hamilton. What is the associativity of this "Christian" presence on the If Nash is right, the zeta function is an onerous axiom. spotter7, coastwatch, truk lagoon, south pacific
Complete source of the zeta function This book cannot be criticized because of the amount of time and effort that must have been spent on it. It was update in 1986 by Heath Brown. It never becomes redundant, and it can either be used a source for additional information, as dictionary, or it can be used in a linear way.
An very comprehesive book for Zeta Function. |
12. Mathematical Apocrypha : Stories and Anecdotes of Mathematicians and the Mathematical (Spectrum) by Steven G. Krantz | |
list price: $32.95
our price: $32.95 (price subject to change: see help) Asin: 0883855399 Catlog: Book (2002-07-15) Publisher: The Mathematical Association of America Sales Rank: 692673 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (2)
Rather colourless The accounts themselves relate to the famous and not-so-famous, but many of them are questionable as to whether they actually deserve to be in this book as they are may times simple accounts of a person's daily life - chronicling the events that happen to many of us on a daily basis. I summary the stories are too brief and there are other (better) factual books on the real lives and histories behind mathematics and mathematicians.
Stories about mathematicians as storytellers Published in Journal of Recreational Mathematics, reprinted with permission. ... Read more |
13. Measure for Measure by Thomas J. Glover, Richard Allen Young | |
list price: $14.95
our price: $9.95 (price subject to change: see help) Asin: 188979600X Catlog: Book (1996-11) Publisher: Sequoia Pub Sales Rank: 153266 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (3)
A valuable reference work, with one flaw Unfortunately, the authors were somewhat arbitrary in deciding which units any particular one would be converted to. If I had written this book, I would have included at least the following for each unit: (1) All other units in the SAME system (i. e., if we are talking about a pre-revolutionary French unit of length, all other pre-revolutionary French units of length) and (2) the nearest-sized SI unit. Unfortunately they frequently leave out conversions between units of the same system that would be useful, and often units of the same approximate size are converted to different SI units, making comparisons difficult. (For example, one foot-size unit may be expressed as so many centimeters, while another as such a fraction of a meter.) Both of these omissions can be circumvented by using a calculator and working with what these authors have chosen to include, but the book would be easier to use if they had done what I would have.
More info then you'll ever need
Great source of conversion factors. |
14. Mathematics, Science and Epistemology: Philosophical Papers, Vol. 2 by Imre Lakatos | |
list price: $32.99
our price: $32.99 (price subject to change: see help) Asin: 0521280303 Catlog: Book (1980-10-16) Publisher: Cambridge University Press Sales Rank: 641787 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description Reviews (1)
Comprehensive |
15. Introduction to Metric and Topological Spaces by Wilson A. Sutherland | |
list price: $44.50
our price: $44.50 (price subject to change: see help) Asin: 0198531613 Catlog: Book (1975-06-01) Publisher: Oxford University Press Sales Rank: 710903 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Reviews (3)
More Rigorous Than Some Introductory Texts After a brief foray, I retreated, placed Sutherland back on my bookshelf, and attacked some marginally easier introductory texts: Metric Spaces by Victor Bryant, Introduction to Topology by Bert Mendelson, and most recently, several chapters in Introduction to Analysis by Maxwell Rosenlicht. I periodically return to W. A. Sutherland's text to measure my understanding. I am now working on chapter five, Compact Spaces. I doubt that Introduction to Metric and Topological Spaces would be foreboding to students that are familiar with real analysis. Sutherland understands that the abstractness and generalization can be difficult and shows concern with motivating the student. He repeatedly attempts to illustrate the value of generalization, especially in the study of continuity. Sutherland often uses a lengthy series of examples of increasing difficulty to illustrate abstract concepts. In his discussion of metric spaces, we begin with Euclidian n-space metrics, and move on to discrete metric spaces, function spaces, and even Hilbert sequence spaces. He introduces open sets and topological spaces in a similar fashion. The author occasionally suggests that the student might wish to make a geometrical diagram to help clarify some subtle point, but Sutherland includes few geometrical drawings in his text. His focus is clearly on proofs using the axioms of metric spaces and topological spaces. Sutherland highlights sections that either require more knowledge of abstract algebra, or for other reasons are thought to be more severe. Despite Sutherland's use of Introduction in the title, I suggest that any reader considering independent study might defer tackling Introduction to Metric and Topological Spaces until after completing a more basic text. Possibly a better title might be A Second Introduction to Metric and Topological Spaces.
An excellent, concise book on topology and metric spaces.
A great self-contained text |
16. Fundamental Concepts in the Design of Experiments by Charles R. Hicks, Kenneth V. Turner | |
list price: $109.00
our price: $109.00 (price subject to change: see help) Asin: 0195122739 Catlog: Book (1999-03-01) Publisher: Oxford University Press Sales Rank: 49291 Average Customer Review: US | Canada | United Kingdom | Germany | France | Japan | |
Book Description The book is written for anyone engaged in experimental work who has a good background in statistical inference. It will be most profitable reading to those witha background in statistical methods including analysis of variance. This text is suitable for senior undergraduate/graduate level students in mathematics, statistics, or engineering. It is appropriate for a variety of experimental methods courses found in engineering and statistics deparmtents -- majors in this course are usually in applied statistics; non-majors, in industrial and electrical engineering, or education and life sciences. ... Read more Reviews (3)
Fundamental Concepts in the Design of Experiments
Excellent, if you already know theoretical statistics The author begins with the basics of design of experiments: experiment, design and analysis. Then a brief (lovely) review of statistical inference follows; including: Estimation, test of hypothesis, power function and some easy applications. In the following chapters almost all statistical methods are presented; among others: single factor experiments, randomized block and latin square, factorial experiments, nested, experiments of two or more factors, 2^f -, 3^f factorials, split plot design, Taguchi, regression and finally miscellaneous topics including covariance analysis, response-surface experimentation and more. After each chapter there are problems and answers to odd-numbered problems can be found at the end of the book. Included is a practical summery with all methods presented in one table. Additionally you find a glossary of terms used in statisics, statistical tables and an index. The examples in the book are analysed using SAS. Knowing that S-Plus is much easier to handle (and knowing that SAS is frequently used in the industry), this is very useful. The mathematics used is easy, but - as mentioned in the preface - the fundamental concepts of statistical inference must be known.
Statistics by example only - very little theory/concepts A better editor and supplementary manuals (step-by-step explanation of concepts and formulas, SPSS instruction, etc.) would be a big help. My recommendation would be to find another book from which you will learn statistics. ... Read more |
17. Stochastic Approximation and Recursive Algorithms and Applications (Applications of Mathematics) by Harold J. Kushner, G. George Yin | |
list price: $79.95
our price: $79.95 (price subject to change: see help) Asin: 0387008942 Catlog: Book (2003-07-01) Publisher: Springer-Verlag Sales Rank: 906577 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description This second edition is a thorough revision, although the main features and the structure remain unchanged.It contains many additional applications and results, and more detailed discussion. Harold J. Kushner is a University Professor and Professor of Applied Mathematics at Brown University.He has written numerous books and articles on virtually all aspects of stochastic systems theory, and has received various awards including the IEEE Control Systems Field Award. G. George Yin is a Professor of Mathematics at Wayne State University.His research interests focus on applied stochastic processes and stochastic systems theory; he has been a major contributor to stochastic approximation theory. ... Read more |
18. Operator Spaces (London Mathematical Society Monographs New Series) by Edward G. Effros, Zhong-Jin Ruan | |
list price: $165.00
our price: $165.00 (price subject to change: see help) Asin: 0198534825 Catlog: Book (2000-12-01) Publisher: Oxford University Press Sales Rank: 1101343 US | Canada | United Kingdom | Germany | France | Japan | |
19. Philosophical Papers: Volume 1, Mathematics, Matter and Method (Philosophical Papers, Vol 1) | |
list price: $43.00
our price: $43.00 (price subject to change: see help) Asin: 0521295505 Catlog: Book (1979-04-30) Publisher: Cambridge University Press Sales Rank: 425567 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description |
20. Plane Answers to Complex Questions: The Theory of Linear Models by Ronald Christensen | |
list price: $94.00
our price: $79.90 (price subject to change: see help) Asin: 0387953612 Catlog: Book (2002-05-10) Publisher: Springer-Verlag Sales Rank: 804981 US | Canada | United Kingdom | Germany | France | Japan | |
Book Description All of the standard topics are covered in depth: ANOVA, estimation including Bayesian estimation, hypothesis testing, multiple comparisons, regression analysis, and experimental design models. In addition, the book covers topics that are not usually treated at this level, but which are important in their own right: balanced incomplete block designs, testing for lack of fit, testing for independence, models with singular covariance matrices, variance component estimation, best linear and best linear unbiased prediction, collinearity, and variable selection. This new edition includes discussion of identifiability and its relationship to estimability, different approaches to the theories of testing parametric hypotheses and analysis of covariance, additional discussion of the geometry of least squares estimation and testing, new discussion of models for experiments with factorial treatment structures, and a new appendix on possible causes for getting test statistics that are so small as to be suspicious. Ronald Christensen is a Professor of Statistics at the University of New Mexico. He is a Fellow of the American Statistical Association and the Institute of Mathematical Statistics. ... Read more |
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