Mathematics for the Environment (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
679
Utgivningsdatum
2011-01-18
Förlag
Whittles Publishing
Illustratör/Fotograf
black and white 54 Illustrations 8 Tables black and white
Illustrationer
8 Tables, black and white; 54 Illustrations, black and white
Dimensioner
247 x 165 x 38 mm
Vikt
1088 g
Antal komponenter
1
ISBN
9781439834725
Mathematics for the Environment (inbunden)

Mathematics for the Environment

Inbunden Engelska, 2011-01-18
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Mathematics for the Environment shows how to employ simple mathematical tools, such as arithmetic, to uncover fundamental conflicts between the logic of human civilization and the logic of Nature. These tools can then be used to understand and effectively deal with economic, environmental, and social issues. With elementary mathematics, the book seeks answers to a host of real-life questions, including: How safe is our food and will it be affordable in the future? What are the simple lessons to be learned from the economic meltdown of 2008-2009? Is global climate change happening? Were some humans really doing serious mathematical thinking 50,000 years ago? What does the second law of thermodynamics have to do with economics? How can identity theft be prevented? What does a mathematical proof prove? A truly interdisciplinary, concrete study of mathematics, this classroom-tested text discusses the importance of certain mathematical principles and concepts, such as fuzzy logic, feedback, deductive systems, fractions, and logarithms, in various areas other than pure mathematics. It teaches students how to make informed choices using fundamental mathematical tools, encouraging them to find solutions to critical real-world problems.
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The book can be recommended to all those readers who are interested in applied mathematics as well as to those who do not think of themselves as mathematicians yet being interested in laws and relationships in which mathematics may be a helpful tool. -Herbert S. Buscher, Zentralblatt MATH 1211 The book is heavily referenced ... there are many detailed exercises designed to highlight how mathematics can be used to explain natural phenomena and human behavior and its consequences. ... this book could serve as a text for courses in applied mathematics and a resource for study material in many other subject areas ... -MAA Reviews, July 2011 "Recently I purchased Mathematics for the Environment and find it to be one of the most fascinating and comprehensive that I have ever encountered. Next semester I will be teaching a class on mathematical modeling for seniors in our department, and intend to use (with attribution of course) some of the examples and questions. Never have I seen such an eclectic set of topics in a single volume. Basically I am writing to thank you for it, and to say `Bravo'!" -John A. Adam, Ph.D., University Professor and Professor of Mathematics Department of Mathematics & Statistics Engineering & Computational Sciences Building Old Dominion University, Norfolk, Virginia, USA

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Martin Walter is a professor in the Department of Mathematics at the University of Colorado at Boulder. Dr. Walter is a Sloan, Woodrow Wilson, and National Science Foundation Fellow as well as a member of the American Mathematical Society and Mathematical Association of America. He has lectured or taught in various countries, including Japan, China, Poland, Romania, Australia, Belgium, Norway, Sweden, Denmark, England, Germany, India, Italy, Mexico, Puerto Rico, Canada, and Brazil.

Innehållsförteckning

MATHEMATICS IS CONNECTED TO EVERYTHING ELSE Earth's Climate and Some Basic Principles One of the Greatest Crimes of the 20th Century Feedback Edison's Algorithm: Listening to Nature's Feedback Fuzzy Logic, Filters, the Bigger Picture Principle Consequences of the Crime: Suburbia's Topology A Toxic Consequence of the Crime Hubbert's Peak and the End of Cheap Oil Resource Wars: Oil and Water The CO2 Greenhouse Law of Svante Arrhenius Economic Instability: Ongoing Causes Necessary Conditions for Economic Success The Mathematical Structure of Ponzi Schemes Dishonest Assessment of Risk One Reason Why Usury Should Again Be Illegal What Is Mathematics? More Basics The Definition of Mathematics Used in This Book The Logic of Nature and the Logic of Civilization Box-Flow Models Cycles and Scales in Nature and Mathematics The Art of Estimating We All Soak in a Synthetic Chemical Soup Thomas Latimer's Unfortunate Experience What's in the Synthetic Chemical Soup? Synthetic Flows and Assumptions The Flow of Information about Synthetic Flows You Cannot Do Just One Thing: Two Examples Mathematics: Food, Soil, Water, Air, Free Speech The "Hour Glass" Industrial Agriculture Machine Industrial Agriculture Logic vs. the Logic of Life Fast Foods, Few Foods, and Fossil Fuels Genetic Engineering: One Mathematical Perspective Toxic Sludge Is Good for You! Media Concentration Oceans: Rising Acidity and Disappearing Life Stocks, Flows and Distributions of Food My Definition of Food Choices: Central vs. Diverse Decision Making Correlations Mathematics and Energy How Much Solar Energy Is There? Solar Energy Is There, Do We Know How to Get It? Four Falsehoods Nuclear Power: Is It Too Cheap to Meter? Net Primary Productivity and Ecological Footprints NPP, Soil, Biofuels, and the Super Grid The Brower-Cousteau Model of the Earth How Heavily Do We Weigh upon the Earth? Mining and Damming: Massive Rearrangements Fish, Forests, Deserts, and Soil: Revisited The Cousteau-Brower Earth Model Fuzzy Logic, Sharp Logic, Frames, and Bigger Pictures Sharp (Aristotelian) Logic: A Standard Syllogism Measuring Truth Values: Fuzzy/Measured Logic Definitions, Assumptions and the Frame of Debate Humans in Denial - Nature Cannot Be Fooled - Gravity Exists The Bigger Picture Principle The Dunbar Number The Sustainability Hypothesis: Is It True? The Dunbar Number Public Relations, Political Power, and the Organization of Society Political Uses of Fear Confronting Fear (and Apathy): Organizing Your Community for Self-Preservation and Sustainability MATH AND NATURE: THE NATURE OF MATH One Pattern Viewed via Geometry and Numbers: Mathese The Square Numbers of Pythagoras The Language of Mathematics: Mathese A General Expression in Mathese: A Formula for Odd Numbers An Important Word in Mathese: Sentences in Mathese: Equations with and a Dummy Variable Induction, Deduction, Mathematical Research, and Mathematical Proofs What Is a Mathematical Proof? What Is a Deductive System? Originalidad es volver al Origen Axioms and Atoms Molecules and Atoms; the Atomic Number and the Atomic Mass Number of an Atom Scaling and Our First Two Axioms for Numbers Our First Axiom for Numbers Number 1: Its Definition, Properties, Uniqueness The Definition of Multiplicative Inverse Our Second Axiom for Numbers If ... , Then ... . Our First Proofs Return to the Problem: How Many Protons in One Gram of Protons? What Is a Mole? Scaling Up from the Atomic to the Human Scale Five More Axioms for Numbers Associativity, Identity, and Inverses for + Commutativity of + and * Distributivity What Patterns Can Be Deduced in Our Deductive System? Playing the Mathematics Game Rules for Playing the Mathematics Game The Usual Rules for Fractions Are Part of Our Deductive System Can You Tell the Difference between True and False Patterns? More Exercises ONE OF THE OLD