Best General Geometry
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 traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' " --E. T. Bell, Mathematical Monthly "[This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. "Every mathematics student should experience and live this book" -- Mathematics Magazine. "In an age that all solutions should be provided with the least possible effort, this book brings a very important message: mathematics and problem solving in general needs a lot of practice and experience obtained by challenging creative thinking, and certainly not by copying predefined recipes provided by others. John H. Conway is professor emeritus of mathematics at Princeton University.
Reviews
Find Best Price at Amazon"I'm a math professor and this has completely changed the way I approach my lectures."
"Good condition, needed for class."
"The chapters related to the methodology should be included in any course of algorithm design."
"The only reason I subtracted a star was because I found the text difficult to parse, which slowed down my reading."
"Good book for learning how to solve mathematical problems, wish I had this 30 years ago in HS."
"It will very useful to mathematicians, physists, and engineering students, as well as professors in making."
"There is a reason that this book has been in print for decades."
— The New York Times Book Review This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. It is the best answer in print to what mathematics contains both on the elementary and advanced levels." Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. There are proofs in these volumes, but usually they are presented only for the most important results, and even then to emphasize key areas and to illustrate the kind of methodology employed. It is hard to imagine that any intelligent American with a curious mind and some good recollection of his high school and college mathematics would not find many entrancing discoveries in the intellectual gold mine that is this work." The intelligentsia of laymen who care to tackle more than today's popular magazine articles on mathematics will find many rewarding introductions to subjects of current interest." "Whether a physicist wishes to know what a Lie algebra is or how it is related to a Lie group, or an undergraduate would like to begin the study of homology, or a crystallographer is interested in Fedorov groups, or an engineer in probability, or any scientist in computing machines, he will find here a connected, lucid account."
Reviews
Find Best Price at Amazon"VOLUME ONE, PART 1 CHAPTER I A GENERAL VIEW OF MATHEMATICS A. D. Aleksandrov. § 1. Contemporary Mathematics. Suggested Reading. CHAPTER II ANALYSIS M. A. Lavrent’ev and S. M. Nikol’ski? Series. Suggested Reading. PART 2 CHAPTER III ANALYTIC GEOMETRY B. N. Delone. § 1. Descartes’ Method of Solving Thirdand Fourth-Degree Algebraic Equations. § 6. The Reduction of the General Second-Degree Equation to Canonical Form. § 9. The Representation of Forces, Velocities, and Accelerations by Triples of Numbers; Theory of Vectors. § 10. Investigation of the Distribution of the Roots of a Polynomial on the Complex Plane. § 5. Approximate Calculation of Roots. Suggested Reading. CHAPTER V ORDINARY DIFFERENTIAL EQUATIONS I. G. Petrovski? Some General Remarks on the Formation and Solution of Differential Equations. § 4. Qualitative Theory of Ordinary Differential Equations. Suggested Reading. VOLUME TWO, PART 3 CHAPTER VI PARTIAL DIFFERENTIAL EQUATIONS S. L. Sobolev and O. Generalized Solutions. Suggested Reading. CHAPTER VII CURVES AND SURFACES A. D. Aleksandrov. § 1. New Developments in the Theory of Curves and Surfaces. Suggested Reading. CHAPTER VIII THE CALCULUS OF VARIATIONS V. I. Krylov. § 1. Methods of Approximate Solution of Problems in the Calculus of Variations. Suggested Reading. CHAPTER IX FUNCTIONS OF A COMPLEX VARIABLE M. V. Keldyš. § 1. The Connection Between Functions of a Complex Variable and the Problems of Mathematical Physics. § 3. The Connection of Functions of a Complex Variable with Geometry. § 4. Conclusion. Suggested Reading. PART 4 CHAPTER X PRIME NUMBERS K. K. Mardzanisvili and A. Decomposition of Integers into the Sum of Two Squares; Complex Integers. Suggested Reading. CHAPTER XI THE THEORY OF PROBABILITY A. N. Kolmogorov. § 1. The Axioms and Basic Formulas of the Elementary Theory of Probability. § 3. Random Processes of Markov Type. Suggested Reading. CHAPTER XII APPROXIMATIONS OF FUNCTIONS S. M. Nikol? The ?ebyšev(Chebyshev) Concept of Best Uniform Approximation. § 5. The Theorem of Weierstrass; the Best Approximation to a Function as Related to Its Properties of Differentiability. § 7. Approximation in the Sense of the Mean Square. Suggested Reading. CHAPTER XIII APPROXIMATION METHODS AND COMPUTING TECHNIQUES V. I. Krylov. § 1. The Simplest Auxiliary Means of Computation. Suggested Reading. CHAPTER XIV ELECTRONIC COMPUTING MACHINES S. A. Lebedev and L. V. Kantorovi? Purposes and Basic Principles of the Operation of Electronic Computers. § 2. Prospects for the Development and Use of Electronic Computing Machines. Suggested Reading. VOLUME THREE, PART 5 CHAPTER XV THEORY OF FUNCTIONS OF A REAL VARIABLE S. B. Ste?kin. § 1. The Lebesgue Integral. Suggested Reading. CHAPTER XVI LINEAR ALGEBRA D. K. Faddeev. § 1. Functions of Matrices and Some of Their Applications. Suggested Reading. CHAPTER XVII NON-EUCLIDEAN GEOMETRY A. D. Aleksandrov. § 1. Separation of Independent Geometric Theories from Euclidean Geometry. § 7. Abstract Geometry and the Real Space. Suggested Reading. PART 6 CHAPTER XVIII TOPOLOGY P. S. Aleksandrov. § 1. Metric and Topological Spaces. Suggested Reading. CHAPTER XIX FUNCTIONAL ANALYSIS I. M. Gel? Linear Operators and Further Developments of Functional Analysis. Suggested Reading. CHAPTER XX GROUPS AND OTHER ALGEBRAIC SYSTEMS A. I. Mal?"
"I bought this book because I was getting interested in math and wanted something exciting to read through and that wasn't pop-sciency crap. While they say that the book is aimed at any reader with experience in high school math, the material is still written at a very high level."
"I would reccomend this book to any math student who wants a one stop and readable reference for their mathematical tools."
"I love the way it delivers knowledge."
"product as described and fast shipping."
"An excellent book covering a breadth of mathematical fields."
"There is something admirable about the school of the Russians: they are thinkers doing math, with remarkable clarity, minimal formalism, and total absence of unnecessary pedantry one finds in more modern texts (in the post Bourbaki era)."
From planes, points, and postulates to squares, spheres, and slopes — and everything in between — CliffsQuickReview Geometry can help you make sense of it all. Triangles and polygons: Classifying and identifying; features and properties; the Triangle Inequality Theorem; the Midpoint Theorem; and more Perimeter and area: Parallelograms, trapezoids, regular polygons, circles Similarity: Ratio and proportion; properties of proportions; similar triangles Right triangles Circles: Central angles and arcs; inscribed angles; chords, secants, tangents; arc length, sectors Geometric solids and coordinate geometry. Literary Classics: Over 10,000 complete works by Shakespeare, Jane Austen, Mark Twain, Conan Doyle, Jules Verne, Dickens, Tolstoy, and other authors. They offer lower price, convenience of one-time download, and reduce clutter of titles in your digital library. Religion: The Illustrated King James Bible, American Standard Bible, World English Bible (Modern Translation), Mormon Church's Sacred Texts. This fast, effective tutorial helps you master core geometry conceptsfrom perimeter, area, and similarity to parallel lines, geometric solids, and coordinate geometryand get the best possible grade. Study smarter @ cliffsnotes.com Free CliffsNote-A-Day tips Free test-taking tips and tricks Free test samples and schedules Free info on other test resources Plus hundreds of downloadable Cliffs titles 24 hours a day Make the grade with CliffsQuickReviews CliffsQuickReviews are available for more than 30 introductory level courses.
Reviews
Find Best Price at Amazon"My son is taking geometry in ninth grade, having already done Algebra one and two."
"in industrial manufacturing and emerging technologies AA degree plan, i am constantly building things and needed refresher books to help."
"Bought this and "Lets Review Geometry"."
"Thus book quickly and effectively covers all of the geometry essentials, even proving some of the more important theorems."
"A great review book, full of content yet concise, also good as a textbook it you have never seen this stuff before.There is a lot more to Geometry here than I learned in 4th grade."
"I bought this book to prepare for taking this class."
Best Geometry & Topology
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 traditional mathematics professor who reads a paper before one of the Mathematical Societies might also learn something from the book: 'He writes a, he says b, he means c; but it should be d.' " --E. T. Bell, Mathematical Monthly "[This] elementary textbook on heuristic reasoning, shows anew how keen its author is on questions of method and the formulation of methodological principles. "Every mathematics student should experience and live this book" -- Mathematics Magazine. "In an age that all solutions should be provided with the least possible effort, this book brings a very important message: mathematics and problem solving in general needs a lot of practice and experience obtained by challenging creative thinking, and certainly not by copying predefined recipes provided by others. John H. Conway is professor emeritus of mathematics at Princeton University.
Reviews
Find Best Price at Amazon"Good condition, needed for class."
"Good book for learning how to solve mathematical problems, wish I had this 30 years ago in HS."
"There is a reason that this book has been in print for decades."
"If you want to figure out how to fix a satellite dish, program a piece of software or some other thorny problem, read this book."
"Not what I expected but brilliant."
"They desired to make a science for solving problems and to create a taxonomy for different problem types."
Best Science Measurement
Linear Regression is a way of simplifying a group of data into a single equation. This law was derived by using regression analysis to simplify the progress of dozens of computer manufacturers over the course of decades into a single equation. I checked half a dozen different sources, including several textbooks, on how to do multiple regression. In each case, the source had a lot of information; in some cases dozens of pages; on how to do the data preparation, how to interpret results, and potential problems to watch out for, but to actually do the multiple regression calculation, they all said to use a software package, like Matlab or Minitab. How to do linear regression with two variables How to do multiple linear regression with any number of independent variables A regression analysis to predict the number of viewers in future episodes of the television show ‘Modern Family’ How to evaluate the quality of your regression analysis using R-squared or adjusted R-squared How to do regression on exponential data, and recreate Moore’s law.
Reviews
Find Best Price at Amazon"Great book if you want grasp the fundamental concepts of linear regression."
"This is probably one of the best written book I have read explaining linear regression."
"He is extremely gifted as a writer who can break things down to simple, well organized, understandable pieces that make the sometimes erudite world of statistics accessible and usable to even the most math-timid soul."
"This book is about an ordinary classical topic - linear regression, but what makes this book unordinary, is the author’s style of approaching the subject in a very detailed level."
"He explains its purpose and explicates the concepts behind the equations so that you are able to develop an intuitive understanding."
"This is a great place to begin learning about linear regression."
"This book is as good, if not better, than the venerable 'Green Book' series by Sage, but at a price that makes it far more competitive."
Best Logic
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. The author uses these concepts as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. He shows how complex proofs are built up from these smaller steps, using detailed "scratch work" sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets.
Reviews
Find Best Price at Amazon"I excelled at "calculating" stuff by simply plugging in numbers into some sort of equation our high school teachers would spoil us with, but when I got to college, I had to start thinking abstractly- and it bothered me a lot, because I had no idea how to test or prove the logic of some statement. The book takes the average student (it's shocking with how little math background one needs) and introduces him to basic boolean logic. Velleman, however, goes the extra mile in the text to see that the reader UNDERSTANDS the logical buildup and concepts of mathematical proofs. Sure, set theory can be confusing- but after reading several other texts in discrete math, including "Discrete Math and its Applications" by Kenneth Rosen (if you're reading this, no offense) I've found that Velleman by far writes the most comprehensive and cohesive explanations for understanding set theory. However, my feelings are very honest and not exaggerated: this book is written so one can learn discrete mathematics, and really helps the reader understand what higher math is all about- and how mathematicians think, write, and communicate."
"If you need to learn various styles of proofs and their associated techniques, this is a great place to start."
"Also some people complained about the lack of a complete answer key, but if you learn the chapter thoroughly and do the answered problems, you can make it through the rest of the problem set."
"Not finished yet but it has been very instructive so far."
"Would be good for novice undergrads or high school students."
"Best of all I have new hope of being able to re-apply old numerical skills with greater rigour to some 21st century media enterprise number crunching."
"I am very happy with the book."
Best Differential Geometry
Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field. A noteworthy feature of the presentation is that dynamical systems, which are introduced in the second chapter, are used systematically to illustrate concepts and as a source of applications.
Reviews
Find Best Price at Amazon"Each of the 9 chapters of the book offers intuitive insight while developing the main text and it does so without lacking in rigor. The first 6 chapters (which deal with manifolds, vector fields and dynamical systems, Riemannian metrics, Riemannian connections and geodesics, curvature and tensors and differential forms) make up an introduction to dynamical systems and Morse theory (the subject of chapter 8)."
"This joyful aspect of the book was achieved by the authors by setting the advanced material of differential geometry and topology as if on a “mobile bridge” or a “crossroad” that associates a(n) (primarily) unfamiliar abstract part of the text with elementary math theories. Besides the basic theory, centered around analytical properties of manifolds (mostly endowed with additional, in particular Riemannian, structures and vector or tensor fields defined on them) and their applications, it also provides a good introductory approach to some deeper topics of differential topology such as Fixed Points theory, Morse theory, and hyperbolic systems throughout the rest of the book."
Best Algebraic Geometry
What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. In Prime Obsession , John Derbyshire deals brilliantly with both Riemann's life and that problem: proof of the conjecture, "All non-trivial zeros of the zeta function have real part one-half." Though the statement itself passes as nonsense to anyone but a mathematician, Derbyshire walks readers through the decades of reasoning that led to the Riemann Hypothesis in such a way as to clear it up perfectly. Prime Obsession offers alternating chapters of step-by-step math and a history of 19th-century European intellectual life, letting readers take a breather between chunks of well-written information. Derbyshire treats the hypothesis historically, tracking increments of progress with sketches of well-known people, such as David Hilbert and Alan Turing, who have been stymied by it.
Reviews
Find Best Price at Amazon"I bought this book together with "The Music of the Primes: Searching to Solve the Greatest Mystery in Mathematics"."
"I bought the book because of the political and current events writing of Derbyshire are always meaty , informative and original."
"The math required is limited to 2d semester calculus, tho' it helps immensely to have had real and complex analysis, some number theory and abstract algebra."
"Naturally, he had to omit some of the more mathematically sophisticated details, including questions of convergence, how to extend the domain of the zeta function from the series definition, and how exactly you calculate the zeros of the zeta function."
"It compares favorably to the other popular books on the same topic because it takes the trouble to SHOW the deep beauty of the Riemann hypothesis by laying out the mathematics in some detail, while always keeping the explanations accessible to the thoughtful layperson."
"The hypothesis was first introduced by Bernhard Riemann's paper "On the Number of Prime Numbers Less Than a Given Quantity" in August 1859. "If either...or...could have proved the truth of the [Riemann] Hypothesis, the PNT would have followed at once...They couldn't of course...The PNT [could] follows from a much weaker result...: All non-trivial zeros of the zeta function have real part less than one." Riemann Hypothesis is similar to the above weaker result: all non-trivial zeros of the zeta function have real part one-half."
Best Analytic Geometry
This all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! 1,105 fully solved problems Concise explanations of all calculus concepts Expert tips on using the graphing calculator. Frank Ayres Jr., PhD , was a professor and a department head at Dickinson College in Carlisle, Pennsylvania.
Reviews
Find Best Price at Amazon"Awesome practice problems for calculus students."
"Excellent, like all Schaumburg outline books in math."
"paper quality is extremely poor."
Best Non-Euclidean Geometries
Do you want to know more about the technology that could convert centralized systems across thousands of services into open source, decentralized networks? Unlike Bitcoin, Ethereum is still largely unknown to those who don’t keep up with the cryptocurrency world, so the amount of information available is limited or highly technical. More and more Fortune 500 companies are investing in Ethereum technology as it becomes increasingly lucrative and poises to change business processes as we know them. The book is designed for those who are new to cryptocurrency, but want to invest in it or learn more about it, as well as for more experienced traders looking to expand their portfolios. This book will help you make your own investment decisions and decide if Ethereum is the right coin for you after weighing up the pros and cons that are presented here. Ethereum’s technology is only at the beginning of its potential growth stages, possibly reaching to dozens of industries and thousands of services. Ikuya is now a Cryptocurrency expert & enthusiast with an impressive Cryptocurrency portfolio and investments in several Bitcoin & Ethereum startups.
Reviews
Find Best Price at Amazon"I've been researching Ethereum for 2 weeks before reading this book."
"I liked reading this book."
"This is an awesome book on Ethereum."
"Excellent, concise and easy read intended for those desiring an introduction to ether technology."
"The book covers a lot of ground with regards to Ethereum and its token Ether."
"A good primer for understanding the difference between bitcoin and ethereal and what reverential is for smart contracts."
"I really appreciated how easy it was to read this book and all the information it had."
"Great conceptual overview for someone who doesn't know anything about Ethereum."
Best Topology
Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology.
Reviews
Find Best Price at Amazon"In particular, it was great for self-study as Mendelson doesn't shy away from fully fleshing-out proofs and repeating relatively similar cases with some additional notes (e.g. when going from metric to topological spaces and proving several ideas there)."
"You'll find that the results from problems you solved are used to develop the theory in later chapters. Pure mathematics is difficult and solving problems takes some time even if you are very bright. On average it probably takes me 5 or 6 hours to solve all the problems within a section, which in my opinion is fairly quickly. With 6-8 sections per chapter and 30-50 problems/chapter, even if you are solving the problems at a very fast pace of say 30 min/problem on average. There are like 5 or 6 chapters in the book or something like that and my calculations do not account for the time to work through the proofs and read each chapter. I would argue that the other reviewers commenting on time required to complete this text are either already familiar with the material, not working all of the problems at the end of each section, or not delving into the material with the depth that it really requires."
"You will need of course, a previous knowledge of mathematics to understand the great part of this book, but this is topology, ones of the fields more difficult in mathematic, even the more easy handbook will seem very high abstracted book if you doesn't know anything about theory of sets and functions."
"Intended for the advanced undergraduate student with a respectable level of mathematical maturity, Mendelson begins with the necessary review of set theory."