PDF⋙ Summing It Up: From One Plus One to Modern Number Theory by Avner Ash, Robert Gross

Summing It Up: From One Plus One to Modern Number Theory by Avner Ash, Robert Gross

Summing It Up: From One Plus One to Modern Number Theory by Avner Ash, Robert Gross PDF, ePub eBook D0wnl0ad

We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research.

Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem.

Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.

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PDF⋙ Greening Existing Buildings (McGraw-Hill's Greensource) by Jerry Yudelson

Greening Existing Buildings (McGraw-Hill's Greensource) by Jerry Yudelson

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Upgrade the Energy and Environmental Performance of Existing Buildings

This GreenSource guide explains how to transform existing buildings into more energy-efficient, resource-conserving green buildings. The book provides a clear process that guides you, step-by-step, through each phase of moving building operations and maintenance toward the goal of a green-certified building.

Greening Existing Buildings features proven technologies and operating methods, and shows building owners and facility managers how to green buildings in a cost-effective way. This practical and insightful resource highlights the ten best practices for greening existing buildings, and includes more than 25 case studies of successful implementations and 35 insightful interviews with industry experts and building owners and managers.

Greening Existing Buildings covers:

• Economic drivers and market dynamics



• Getting the U.S. EPA's ENERGY STAR rating



• U.S. Green Building Council's LEED for Existing Buildings rating



• Making the business case for greening existing buildings



• Cost of greening and setting realistic project budgets



• Energy-efficient building upgrades



• Sustainable site management and water conservation retrofits



• Crafting purchasing and waste management policies



• Upgrading indoor environmental quality



• Managing a LEED for Existing Buildings: Operations and Maintenance (EBOM) certification project, from beginning to end

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PDF⋙ Concrete Portable Handbook by R. Dodge Woodson

Concrete Portable Handbook by R. Dodge Woodson

Concrete Portable Handbook by R. Dodge Woodson PDF, ePub eBook D0wnl0ad

Whether or not, you are on the job site or back in the office, this book will help you to avoid mistakes, code violations, and wasted time and money. The book’s four part treatment begins with constituent materials followed by self contained parts on Concrete Properties, Processes, and Concrete Repair and Rehabilitation.

Designed to be an "all in one" reference, the author includes a wealth information for the most popular types of testing. This includes: Analysis of Fresh Concrete; Testing Machines; Accelerated Testing Methods; Analysis of Hardened Concrete and Mortar; Core Sampling and Testing; Assessment of Concrete Construction ; Repair; Quality Concepts; Quality Control; Statistics; Standards, Specifications, and Codes of Practice. With this book in hand, construction engineers and even technicians find valuable information regarding Exposed Concrete Finishes, Repairing Concrete, Formwork, Precast Concrete, Concrete Roads, and Industrial Floors.

Project managers and owners will find this reference a valuable guide to concrete both in terms of its applications in construction projects and the science and chemistry of concrete for its own sake.

• Fundamentals of Concrete Chemistry
• Handy at your figure tip calculations
• Tips for working with all types of concretes
• Covers Roads, floors, and finishes
• Principles of Precast, Reinforced and Prestressed Concrete

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PDF⋙ Getting Better Bite by Bite: A Survival Kit for Sufferers of Bulimia Nervosa and Binge Eating Disorders by Ulrike Schmidt, Janet Treasure, June Alexander

Getting Better Bite by Bite: A Survival Kit for Sufferers of Bulimia Nervosa and Binge Eating Disorders by Ulrike Schmidt, Janet Treasure, June Alexander

Getting Better Bite by Bite: A Survival Kit for Sufferers of Bulimia Nervosa and Binge Eating Disorders by Ulrike Schmidt, Janet Treasure, June Alexander PDF, ePub eBook D0wnl0ad

Getting Better Bite by Bite is an essential, authoritative and evidence-based self-help programmethat has been used by　bulimia sufferersfor over 20 years. This new edition maintains the essence of the original book, while updating its content for today's readers, drawing on the latest knowledge of the biology and psychology of bulimia and its treatment.　

The book provides step-by-step guidance for change based on solid research. The use of everyday language, stimulating contemporary case study story-telling and evocative illustrations in Bite by Bite provide encouragement, hope and new perspectives for all readers.

This handy-sized book fills a need for easy-to-understand information about Bulimia Nervosa, a serious and prevalent eating disorder. Ulrike Schmidt and Janet Treasure are world-renowned researchers and authorities on eating disorders, and June Alexander, a former sufferer of anorexia and bulimia, is a respected writer and internationally-known eating disorder awareness advocate. Getting Better Bite by Bite is a valuable resource - for sufferers, for their families, and for the health professionals and carers treating them.

　

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PDF⋙ Scientific Approaches to the Philosophy of Religion (Palgrave Frontiers in Philosophy of Religion) by Nagasawa

Scientific Approaches to the Philosophy of Religion (Palgrave Frontiers in Philosophy of Religion) by Nagasawa

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Tackling central problems in philosophy of religion by referring to relevant theories and findings in cognitive science, anthropology, developmental psychology, decision theory, biology, physics, cosmology, the contributors address a range of topics, including divine attributes; God, creation and evolution; God and the universe; religious beliefs.

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PDF⋙ The Romance Languages (Routledge Language Family Series)

The Romance Languages (Routledge Language Family Series)

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Available again, this book discusses nine Romance languages in context of their common Latin origins and then in individual studies. The final chapter is devoted to Romance-based Creole languages; a genuine innovation in a work of this kind.

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PDF⋙ Cytopathology of Soft Tissue and Bone Lesions: 9 (Essentials in Cytopathology) by Walid E. Khalbuss, Anil V Parwani

Cytopathology of Soft Tissue and Bone Lesions: 9 (Essentials in Cytopathology) by Walid E. Khalbuss, Anil V Parwani

Cytopathology of Soft Tissue and Bone Lesions: 9 (Essentials in Cytopathology) by Walid E. Khalbuss, Anil V Parwani PDF, ePub eBook D0wnl0ad

Soft Tissue Cytopathology by Anil V. Parwani, MD, PhD and Walid E. Khalbuss, MD, PhD,will fulfill the need for an easy-to-use and authoritative synopsis of soft tissue cytopathology. This volume, part of the Essentials in Cytopathology book series, fits into the lab coat pocket and is ideal for portability and quick reference. Each volume in the series is heavily illustrated with a full color art program, while the text follows a user-friendly outline format.

Anil V. Parwani, MD, PhD, is Associate Professor of Pathology at the University of Pittsburgh Medical Center - Shadyside Hospital, Pittsburgh, Pennsylvania.

Walid E. Khalbuss, MD, PhD, is Associate Professor of Pathology at the University of Pittsburgh Medical Center - Shadyside Hospital, Pittsburgh, Pennsylvania.

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