Problems in Mathematics with Hints and Solutions


V. Govorov - 1996
    Theory has been provided in points between each chapter for clarifying relevant basic concepts. The book consist four parts algebra and trigonometry, fundamentals of analysis, geometry and vector algebra and the problems and questions set during oral examinations. Each chapter consist topic wise problems. Sample examples are provided after each text for understanding the topic well. The fourth part "oral examination problems and question" includes samples suggested by the higher schools for the help of students. Answers and hints are given at the end of the book for understanding the concept well. About the Book: Problems in Mathematics with Hints and Solutions Contents: Preface Part 1. Algebra, Trigonometry and Elementary Functions Problems on Integers. Criteria for Divisibility Real Number, Transformation of Algebraic Expressions Mathematical Induction. Elements of Combinatorics. BinomialTheorem Equations and Inequalities of the First and the SecondDegree Equations of Higher Degrees, Rational Inequalities Irrational Equations and Inequalities Systems of Equations and Inequalities The Domain of Definition and the Range of a Function Exponential and Logarithmic Equations and Inequalities Transformations of Trigonometric Expressions. InverseTrigonometric Functions Solutions of Trigonometric Equations, Inequalities and Systemsof Equations Progressions Solutions of Problems on Derivation of Equations Complex Numbers Part 2. Fundamentals of Mathematical Analysis Sequences and Their Limits. An Infinitely Decreasing GeometricProgression. Limits of Functions The Derivative. Investigating the Behaviors of Functions withthe Aid of the Derivative Graphs of Functions The Antiderivative. The Integral. The Area of a CurvilinearTrapezoid Part 3. Geometry and Vector Algebra Vector Algebra Plane Geometry. Problems on Proof Plane Geometry. Construction Problems Plane Geometry. C

Ruler and Compass: Practical Geometric Constructions


Andrew Sutton - 2009
    Originally marked out by eye and later by use of a stretched cord, in time these forms came to be made with the simple tools of ruler and compass.This small book introduces the origins and basic principles of geometric constructions using these ancient tools, before going on to cover dozens of geometric forms, from practical fundamentals to more challenging constructions.

Can We Talk to God


Ernest Shurtleff Holmes - 1992
    The excessive materialism of the late 20th century has proven an inadequate substitute for God. As we have acquired more things, we have developed an ever-growing emptiness. Even the popular media today are telling us there is a great hunger for the inner peace that comes from prayerful communion with a higher power. "Can We Talk to God?" offers readers a framework for prayer that is compatible with traditional religion, yet moves beyond it in the recognition of a divine presence within each person. This book sets forth the teaching of Ernest Holmes, called Science of Mind, which is a synthesis of the greatest ideas of religion, science and philosophy. Originally published in 1934 as The Ebell Lectures on Spiritual Science, it is as fresh and profound today as it was then, offering readers answers to such important questions as: What is the nature of God? What is our relationship to God? How do we communicate with God? What is the secret of spiritual power? Where is humanity headed? How can a prayer be used to help ourselves and others?Many readers wonder, Can I talk to God? This beautiful book answers with a resounding YES!, and shows readers the way. The method of prayer it teaches will open the door to healthier, happier living.

Mathematician's Delight


W.W. Sawyer - 1943
    Many people regard mathematicians as a race apart, possessed of almost supernatural powers. While this is very flattering for successful mathematicians, it is very bad for those who, for one reason or another, are attempting to learn the subject.'W.W. Sawyer's deep understanding of how we learn and his lively, practical approach have made this an ideal introduction to mathematics for generations of readers. By starting at the level of simple arithmetic and algebra and then proceeding step by step through graphs, logarithms and trigonometry to calculus and the dizzying world of imaginary numbers, the book takes the mystery out of maths. Throughout, Sawyer reveals how theory is subordinate to the real-life applications of mathematics - the Pyramids were built on Euclidean principles three thousand years before Euclid formulated them - and celebrates the sheer intellectual stimulus of mathematics at its best.

The Manga Guide to Calculus


Hiroyuki Kojima - 2005
    She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor).Mr. Seki teaches Noriko how to:Use differentiation to understand a function's rate of change Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral Integrate and differentiate trigonometric and other complicated functions Use multivariate calculus and partial differentiation to deal with tricky functions Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.

Soccermatics: Mathematical Adventures in the Beautiful Game


David Sumpter - 2016
    How to make sense of them? The answer lies in mathematical modeling, a science with applications in a host of biological systems. Soccermatics brings the two together in a fascinating, mind-bending synthesis.What's the similarity between an ant colony and Total Football, Dutch style? How is the Barcelona midfield linked geometrically? And how can we relate the mechanics of a Mexican Wave to the singing of cicadas in an Australian valley? Welcome to the world of mathematical modeling, expressed brilliantly by David Sumpter through the prism of soccer. Soccer is indeed more than a game and this book is packed with game theory. After reading it, you will forever watch the game with new eyes.

Pythagoras: His Lives And The Legacy Of A Rational Universe


Kitty Ferguson - 2010
    Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

Mystery Math: A First Book of Algebra


David A. Adler - 2011
    Luckily, algebra will help you solve each problem. By using simple addition, subtraction, mulitplication, and division, you'll discover that solving math mysteries isn't scary at all -- it's fun!

Invertebrate Zoology


Robert D. Barnes - 1963
    This thorough revision provides a survey by groups, emphasizing adaptive morphology and physiology, while covering anatomical ground plans and basic developmental patterns. New co-author Richard Fox brings to the revision his expertise as an ecologist, offering a good balance to Ruppert's background as a functional morphologist. Rich illustrations and extensive citations make the book extremely valuable as a teaching tool and reference source.

Fundamental Analysis, Value Investing & Growth Investing


Roger Lowenstein - 1997
    Growth investing is a fundamentally different style that seeks to identify tomorrow's great business successes. Learn the ins and outs, and the pros and cons, of these basic investment styles.

Jewish Jocks: An Unorthodox Hall of Fame


Franklin Foer - 2012
    Featuring work by today’s preeminent writers, these essays explore significant Jewish athletes, coaches, broadcasters, trainers, and even team owners (in the finite universe of Jewish Jocks, they count!).Contributors include some of today’s most celebrated writers covering a vast assortment of topics, including David Remnick on the biggest mouth in sports, Howard Cosell; Jonathan Safran Foer on the prodigious and pugnacious Bobby Fischer; Man Booker Prize–winner Howard Jacobson writing elegantly on Marty Reisman, America’s greatest ping-pong player and the sport’s ultimate showman. Deborah Lipstadt examines the continuing legacy of the Munich Massacre, the fortieth anniversary of which coincided with the 2012 London Olympics. Jane Leavy reveals why Sandy Koufax agreed to attend her daughter’s bat mitzvah. And we learn how Don Lerman single-handedly thrust competitive eating into the public eye with three pounds of butter and 120 jalapeño peppers. These essays are supplemented by a cover design and illustrations throughout by Mark Ulriksen. From settlement houses to stadiums and everywhere in between, JEWISH JOCKS features men and women who do not always fit the standard athletic mold. Rather, they utilized talents long prized by a people of the book (and a people of commerce) to game these games to their advantage, in turn forcing the rest of the world to either copy their methods—or be left in their dust.

Field and Wave Electromagnetics


David K. Cheng - 1982
    These include applications drawn from important new areas of technology such as optical fibers, radome design, satellite communication, and microstrip lines. There is also added coverage of several new topics, including Hall effect, radar equation and scattering cross section, transients in transmission lines, waveguides and circular cavity resonators, wave propagation in the ionosphere, and helical antennas. New exercises, new problems, and many worked-out examples make this complex material more accessible to students.

Wheelbarrow Profits: How To Create Passive Income, Build Wealth, And Take Control Of Your Destiny Through Multifamily Real Estate Investing


Jake Stenziano - 2015
    The Wheelbarrow Profits system for real estate investment takes advantage of an under appreciated source of wealth in the United States: multifamily properties. Learn how to identify your own niche, study your market, build your portfolio, and manage properties to successfully turn your investment into true wealth. Written and created by Jake Stenziano and Gino Barbaro, Wheelbarrow Profits is the tried and true system that they’ve utilized to grow a single multifamily investment into nearly a dozen successful and lucrative properties. Whether you’re a seasoned professional looking to explore a different type of investment strategy or a new investor looking to start building your portfolio, Jake and Gino’s system will provide you with the step-by-step guide you need to secure your financial independence.

The Fabulous Fibonacci Numbers


Alfred S. Posamentier - 2007
    In this simple pattern beginning with two ones, each succeeding number is the sum of the two numbers immediately preceding it (1, 1, 2, 3, 5, 8, 13, 21, ad infinitum). Far from being just a curiosity, this sequence recurs in structures found throughout nature - from the arrangement of whorls on a pinecone to the branches of certain plant stems. All of which is astounding evidence for the deep mathematical basis of the natural world. With admirable clarity, two veteran math educators take us on a fascinating tour of the many ramifications of the Fibonacci numbers. They begin with a brief history of a distinguished Italian discoverer, who, among other accomplishments, was responsible for popularizing the use of Arabic numerals in the West. Turning to botany, the authors demonstrate, through illustrative diagrams, the unbelievable connections between Fibonacci numbers and natural forms (pineapples, sunflowers, and daisies are just a few examples). In art, architecture, the stock market, and other areas of society and culture, they point out numerous examples of the Fibonacci sequence as well as its derivative, the "golden ratio." And of course in mathematics, as the authors amply demonstrate, there are almost boundless applications in probability, number theory, geometry, algebra, and Pascal's triangle, to name a few.Accessible and appealing to even the most math-phobic individual, this fun and enlightening book allows the reader to appreciate the elegance of mathematics and its amazing applications in both natural and cultural settings.

The Heart of Mathematics: An Invitation to Effective Thinking


Edward B. Burger - 1999
    In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.