## Similar

Return on structural instruments, which are essentially derivatives, is paid in function of a specific investment strategy on selected underlying asset(s). This essentially means on the performance of the underlyings, obtained by asset managers, which may be banks or hedge funds, through purchase or sale of embedded options. But there are risks. Both risk and return from structured products are related to three main issues: the volatility of future value of an underlying, the uncertainty of future events, and the exposure of the product. Every type of investment is subject to market forces, and the more leveraged a portfolio is, the greater will probably be both the assumed risk and the expected reward. The fact that structured financial products appeal, or at least are being marketed, to both retail investors and institutional investors makes the dual approach deliberately chosen in this book most advisable. This book addresses all these issues in a practical manner with numerous case studies and real-world examples drawn from the author’s intensive research.

Because it is based on intensive research, the book is rich in practical examples and case studiesAddresses the growing trend towards the use of structured financial instruments in private bankingThorough treatment of structured financial products that keeps maths to a minimumBased on 46 years of experience as a consultant to the boards of major corporations in manufacturing and banking, the author addresses objectives, practices, and business opportunities expected from auditing information systems. Topics discussed include the concept of internal control, auditing functions, internal and external auditors, and the responsibilities of the board of directors.

The book uses several case studies to illustrate and clarify the material. Its chapters analyze the underlying reasons for failures in IT projects and how they can be avoided, examine critical technical questions concerning information technology, discuss problems related to system reliability and response time, and explore issues of compliance.

The book concludes by presenting readers with a "what if" scenario. If Sarbannes-Oxley legislation had passed the U.S. Congress in the late 1990s or even 2000, how might this have influenced the financial statements of Enron and Worldcom? We can never truly know the answer, but if companies make use of the procedures in this book, debacles such as these – and those which led to the 2007-2008 credit and banking crisis – will remain a distant memory.

Integrating ERP, CRM, Supply Chain Management, and Smart Materials explores how to create business opportunities and reap savings by:

Restructuring and updating of ERP and CRM software as it integrates supply chain management and delivers new killer applications

Evolving opportunities that will develop from the implementation of smart materials, automatic identification, classification systems, and quality assurance projects

Auditing the implementation, operation, and maintenance of ERP and CRM software as well as the corrective action taken on the basis of results

Internet commerce, online supply chain, and advances in technology - all available at increasingly lower costs - make systems of the past obsolete. However, just as new technology creates new opportunities, it can also create unforeseen consequences. By binding a wealth of interdependent issues between the covers of one book, Integrating ERP, CRM, Supply Chain Management, and Smart Materials gives you the tools you need to create proprietary, high value-added solutions.

The book is divided into six parts :

• part 1 focuses on the strategic plan, as master plan of the enterprise

• part 2 covers the management functions whose able execution makes the difference between success and failure: forecasting, planning, organizing, staffing, directing, and controlling

• part 3 demonstrates that modern accounting rules, promoted by IFRS and US GAAP, not only assist in strategic financial planning but also provide a solid basis for management supervision and control

• part 4 brings your attention the fact that costs matter. Strategic business plans that pay little or no attention to cost factors are doomed

• part 5 addresses the issues associated with strategic products and markets. These range from research and development to market research, product planning, the able management of marketing functions, and sales effectiveness

• part 6 concludes the book with an emphasis on mergers, acquisitions, and consolidations and the risks associated with an M&A policy

Chief executives, operating officers, treasurers, financial officers, budget directors, accountants, auditors, product planners, marketing directors, and management accounting specialists will find this book of practical examples helpful to their decisions and to their work.

* Shows the factors to consider when planning how to take your company to the next level, from identifying and making strategic choices to capital allocation and financial planning. All from a professional accountant's perspective and in their language

* Full of case studies to help you relate your ideas to what other major companies have done before, including IBM, Delta Airlines, and Bloomberg - so you can learn from their success or failure

* Shows why strategic cost control is good governance, why and how to account for the cost of risk and how IFRS relates to strategic accounting principles

Using case studies, the book illustrates the principles, policies, and management practices used by some of the most successful companies around the world. The real-world case studies supply valuable insight into the range of issues that confront decision makers in business. By explaining how to develop effective strategies and business plans, the text supplies both the concepts and the tools to stay on track with those plans. It also:

Explains how to evaluate the pros and cons of your organizational policies and how to effect policies for maximum synergy Covers product development, sales, marketing, pricing, and financial analysis Illustrates the right and wrong ways to implement the principles discussed, with case studies of hi-tech companies such as Apple, Google, Cisco, IBM, Microsoft, Toyota, ITT, and Bloomberg

Dimitris N. Chorafas provides valuable insight garnered over half a century of advising financial institutions and multinational industrial corporations. Dr. Chorafas explains how to develop competitive products and use pricing strategies to achieve an edge over your competition. He also includes case studies that examine the price wars in the computer industry.

This book supplies a realistic look into the positive and negative aspects of various policies and whether or not current practices related to forecasting, planning, organizing, staffing, directing, and controlling have produced the synergy your company needs to achieve long-term success.

* Understanding what is and is not IFRS

* Learning the complexities of IFRS implementation

* Appreciating the contribution of IFRS to corporate governance

The changeover from the mosaic of different heterogeneous national accounting standards to the International Financial Reporting Standards has not been easy. For many companies IFRS, and most particularly the concept of fair value in IAS 39, has amounted to a phase shift – which is prerequisite to achieving compliant financial reporting.

The research conducted by Dr. Chorafas for this book, documented that the process of meeting IFRS requirements presents opportunities and challenges to all enterprises. As many companies have found out, abandoning the classical accruals accounting for marking-to-market their transactions and portfolio positions, has not been easy. The conversion process has affected several functions within the organization including balance sheets, P&L statements, auditing, risk control, information systems, and management accounting.

This book is in made up of four parts:

* Part One focuses on business competition, standards boards, corporate accounting, and IAS 39

* The theme of Part Two, is the implementation of IFRS, exemplified through case studies on task forces and practical applications

* Part Three brings together IFRS and management accounting requirements, with emphasis on fair value.

* Part Four addresses itself to the contribution IFRS can make to better corporate governance, and to rebuilding the balance sheet

The book has many case studies based on actual experiences. These range from the implementation of IFRS directives such as hedge accounting, to developing practices of real-time balance sheets; the help provided by sophisticated accounting solutions help in stress testing; and a comprehensive definition of the role of the audit committee.

* A clear and practical view of the complexities of IFRS implementation

* Includes practical case studies from real-life companies going through the process

* Pays particular attention to IAS 39 on Fair Value

Accountants whose work under International Financial Reporting Standards increasingly involves risk control in their job will find this book of practical value with the inclusion of material on "how to" successfully design, implementation and use risk control measures.

Designed specifically for accountants the book starts with the fundamental factors underpinning risk: volatility and uncertainty, and then shows how and why accounting, auditing, and risk control correlate. The themes covered in the book include: credit risk, market risk, liquidity risk, investment risk, and event risk.

* This practical handbook, complete with case studies is specifically aimed at accountants.

* comprehensive information on how to develop, implement and use a risk management system

* Covers credit risk, market risk, liquidity risk, investment risk, event risk.

The book provides:

* comprehensive coverage of the evolution of the banking industry with Basel II in mind

* extensive information on the capital requirements for bank liquidity and solvency

* coverage of the new rules as laid down by the supervisory authorities of the Group of Ten industrialized nations

* key information on the technical requirements for credit institutions such as: new credit rating scales, modeling of credit risk, control of operational risks, and, novel ways and means for the management of exposure to Credit Risk

* Basel II accords must be implemented by 2006 and require 2 years preparation for proper implementation

* Author at the forefront in the development of the Basel II Capital Adequacy Accord

* Based on intensive research in the US, UK and continental Europe

What has previously been a mostly mathematical topic is translated here for engineers concerned with the practical implementation of quality control. Once the fundamentals of quality control are established, Quality Control Applications goes on to develop this knowledge and explain how to apply it in the most effective way. Techniques are described and supported using relevant, real-life, case studies to provide detail and clarity for those without a mathematical background. Among the many practical examples, two case studies dramatize the importance of quality assurance: A shot-by-shot analysis of the errors made in the Fukushima Daiichi nuclear disaster; and the engineering failure with new technology due to the absence of quality control in an alternative energy project.

This clear and comprehensive approach makes Quality Control Applications an essential reference for those studying engineering as well industry professionals involved in quality control across product and system design.

Our epoch has accepted the theory that leveraging is good for a person, a company or even a nation. This has led to the debt syndrome and its disastrous aftereffects. Throughout the book evidence emerges that piling up public debt can lead to an unmitigated disaster. This is demonstrated through case studies on Greece, Spain, Italy, France and the United States – in short, those western countries that nowadays have lost control of their senses and of their economy.

This book uses real life examples, using case studies as evidence of good and bad approaches to social, economic and financial life. Live events also help as undisputable demonstrators of successes and failures in the search for solutions in getting out of the hole western governments find themselves. As Denis Healey, a former British chancellor of the Exchequer, once said: “The first law of holes is that if you are in one stop digging.

Provides insight and implications on the current policies of sovereigns and central banksUses real life practical examples and case studies on Greece, Spain, Italy, France and the United StatesExamines developing countries, particularly BRICS, and their exposure to debtFocuses on public health and the effects it has on the economyBondholder’s options, risks and rewards in making investments in debt instruments;

The dynamics of inflation, and how they affect both trading in the bond market, and investment decisions; and

The democratization of lending, socialization of risk, and effect of the global economy on the bond market.

Financial expert Dimitris Chorafas discusses these issues in straightforward language for managers and professionals in commercial banks, securities houses, financial services companies, merchandising firms, manufacturing companies, and consulting firms, placing the mathematical treatment of the issues in the appendices, available for study but not necessary for understanding the business issues addressed in the book. Focuses on new issues of central importance in bond and debt trading today

Uses clear, straightforward language for managers and professionals in business and industry, with mathematical treatment provided in appendices

Thorough treatment of operational risk new to books on this topic

methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and

methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

As a result, the book represents a blend of new methods in general computational analysis,

and specific, but also generic, techniques for study of systems theory ant its particular

branches, such as optimal filtering and information compression.

- Best operator approximation,

- Non-Lagrange interpolation,

- Generic Karhunen-Loeve transform

- Generalised low-rank matrix approximation

- Optimal data compression

- Optimal nonlinear filtering

* Written in clear, straightforward style for financial industry executives to provide necessary information for risk control decisionmaking

* Consistent with GARP, IFRS and IASB risk management processes and procedures

* Explains stress testing and its place in risk control

Next Generation Information Technology

The Likely Technologies of this Decade

Enterprise Computing

The Internet as the 21st Century's Answer to Merchandising

While the majority of books presently available on information systems are written from the viewpoint of system analysis, programming, or common applications, this text:

Brings to the reader's attention the importance of organization and infrastructure

Presents a wealth of case studies to explain the need for reengineering and restructuring

Details the latest advances which influence the implementation of advanced technology

Written in a simple, comprehensive manner without specific prerequisites and data processing jargon, with concepts and case studies properly explained, this book addresses itself to practitioners in computer technology, telecommunications and software development, who are interested in acquiring skills through knowledge of the most advanced applications, tools, and methods, both present and coming. Enterprise Architecture and New Generation Information Systems will prove appealing to every person charged with planning, developing, applying, and delivering advanced information systems, architectural solutions, and programming products.

* "Banks should take into consideration potential future changes in economic conditions when assessing individual credits and their credit portfolios, and should assess their credit risk exposures under stressful conditions."

* "The recent disturbances in Asia and Russia illustrate how close linkages among emerging markets under stress conditions and previously undetected correlations between market and credit risks, as well as between those risks and liquidity risk, can produce widespread losses."

* "Effective stress testing which takes account of business or product cycle effects is one approach to incorporating into credit decisions a fuller understanding of a borrower's credit risk."

Written for professionals in financial services with responsibility for IT and risk measurement, management, and modeling, Dimitris Chorafas explains in clear language the testing methodology necessary for risk control to meet Basel II requirements. Stress testing is the core focus of the book, covering stress analysis and the use of scenarios, models, drills, benchmarking, backtesting, and post-mortems, creditworthiness, wrong way risk and statistical inference, probability of default, loss given default and exposure at default, stress testing expected losses, correlation coefficients, and unexpected losses, stress testing related to market discipline and control action, and pillars 2 and 3 of Basel II.

* Written in clear, straightforward style with numerous practical examples

* Based on five years of development and research

* Focuses on stress probability of default, stress loss given default, stsress exposure at default

The Real-Time Enterprise analyzes the forward-looking implementation of IT within a business, focusing on how careful planning can improve efficiency while reducing costs. The book includes case studies that emphasize how the most profitable uses of technology are now the real-time response to customer requirements, and the accumulation of knowledge about markets and business partners.

Divided into four parts, the text begins by explaining how advanced information technology is a moving target, and why companies that want to benefit from it must set priorities and move quickly. Part II covers many recent developments in IT and its implementation, including smart dust and straight through processing (STP). Part III is made up of case studies that address specific application areas, including credit institutions, treasury operations, risk management, and approaches to replace office automation. The book concludes by exploring a series of prerequisites made necessary by advanced applications.

The Real-Time Enterprise provides a perspective on the deployment of strategic information technology, covering guidelines, advanced applications, and practical examples. It delivers a much-needed upgrade of knowledge and skills for IT professionals seeking to progress beyond traditional implementations.

Illustrated with numerous examples and case studies, the book examines security, privacy, data ownership, and data protection in the cloud. It also:

Explains how and why your company can benefit from Open Software and onDemand Services Identifies various cloud providers, their services, and their content as a basis for evaluating cost effectiveness Provides authoritative guidance on how to transition from a legacy system to the cloud Includes helpful tips for managing cloud vendor relationships and avoiding vendor lock-in

Whether you’re already in the cloud or just considering it, the text provides the unbiased understanding of the strengths and weaknesses of cloud computing needed to make informed decisions regarding its future in your organization. The book’s strength is that it supplies authoritative insight on everything needed to decide if you should make a transition to the cloud.

methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and

methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.

As a result, the book represents a blend of new methods in general computational analysis,

and specific, but also generic, techniques for study of systems theory ant its particular

branches, such as optimal filtering and information compression.

- Best operator approximation,

- Non-Lagrange interpolation,

- Generic Karhunen-Loeve transform

- Generalised low-rank matrix approximation

- Optimal data compression

- Optimal nonlinear filtering

Comprised of 18 chapters, this book begins with an introduction to database and knowledge bank concepts; reliability and availability characteristics; and the synergy necessary to create and sustain federated databases. Centralized and distributed databases are then compared, and the different ways of managing distributed databases are outlined. Subsequent chapters focus on the importance of treating the networked database as a corporate resource; the use of schemata to solve cross-database problems; the Information Resource Dictionary System; and application programming interface and remote data access. A solution to heterogeneous distributed databases, the Data Access Integrated Services (DAIS), is described.

This monograph is written for specialists in computers and communications.

Illustrated with numerous examples and case studies, the book examines security, privacy, data ownership, and data protection in the cloud. It also:

Explains how and why your company can benefit from Open Software and onDemand Services Identifies various cloud providers, their services, and their content as a basis for evaluating cost effectiveness Provides authoritative guidance on how to transition from a legacy system to the cloud Includes helpful tips for managing cloud vendor relationships and avoiding vendor lock-in

Whether you’re already in the cloud or just considering it, the text provides the unbiased understanding of the strengths and weaknesses of cloud computing needed to make informed decisions regarding its future in your organization. The book’s strength is that it supplies authoritative insight on everything needed to decide if you should make a transition to the cloud.

The Essentials For Dummies Series

Dummies is proud to present our new series, The Essentials ForDummies. Now students who are prepping for exams, preparing tostudy new material, or who just need a refresher can have aconcise, easy-to-understand review guide that covers an entirecourse by concentrating solely on the most important concepts. Fromalgebra and chemistry to grammar and Spanish, our expert authorsfocus on the skills students most need to succeed in a subject.

Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams.

--Includes 1,000 problems with comprehensive solutions

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--Kelley is a former award-winning calculus teacher

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1,370 fully solved problems Complete review of all course fundamentals Clear, concise explanations of all Advanced Calculus conceptsFully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time--and get your best test scores!

Topics include: Numbers; Sequences; Functions, Limits, and Continuity; Derivatives; Integrals; Partial Derivatives; Vectors; Applications of Partial Derivatives; Multiple Integrals; Line Integrals, Surface Integrals, and Integral Theorems; Infinite Series; Improper Integrals; Fourier Series; Fourier Integrals; Gamma and Beta Functions; and Functions of a Complex Variable

Schaum's Outlines--Problem Solved.

A self-contained text, it presents the necessary background on the limit concept, and the first seven chapters could constitute a one-semester introduction to limits. Subsequent chapters discuss differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces and Fourier series, normed linear spaces and the Riesz representation theorem, and the Lebesgue integral. Supplementary materials include an appendix on vector spaces and more than 750 exercises of varying degrees of difficulty. Hints and solutions to selected exercises, indicated by an asterisk, appear at the back of the book.

1001 Calculus Practice Problems For Dummies takes youbeyond the instruction and guidance offered in Calculus ForDummies, giving you 1001 opportunities to practice solvingproblems from the major topics in your calculus course. Plus, anonline component provides you with a collection of calculusproblems presented in multiple-choice format to further help youtest your skills as you go.

Gives you a chance to practice and reinforce the skills youlearn in your calculus courseHelps you refine your understanding of calculusPractice problems with answer explanations that detail everystep of every problemThe practice problems in 1001 Calculus Practice Problems ForDummies range in areas of difficulty and style, providing youwith the practice help you need to score high at exam time.

Want to "know it ALL" when it comes to pre-calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to pre-calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace.

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Pre-Calculus Know-It-ALL features:

Checkpoints to help you track your knowledge and skill level Problem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mindStan's expert guidance gives you the know-how to:

Calculate distance in Cartesian two-and three-space Perform vector multiplication Work with cylindrical and spherical coordinates Understand relations and functions Learn the properties of conic sections Graph exponential, logarithmic, and trigonometric curves Define curves with parametric equations Work with sequences, series, and limits Take college entrance examinations with confidence And much more!The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system.

In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include:

I. Fundamentals and Algorithms

II. Polynomial Approximation- Classical Theory

Ill. Fourier Approximation- Modern Theory

IV. Exponential Approximation ... and more

Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again.

"This is quite a well-done book: very tightly organized,better-than-average exposition, and numerous examples,illustrations, and applications."

—Mathematical Reviews of the American MathematicalSociety

An Introduction to Linear Programming and Game Theory, ThirdEdition presents a rigorous, yet accessible, introduction tothe theoretical concepts and computational techniques of linearprogramming and game theory. Now with more extensive modelingexercises and detailed integer programming examples, this bookuniquely illustrates how mathematics can be used in real-worldapplications in the social, life, and managerial sciences,providing readers with the opportunity to develop and apply theiranalytical abilities when solving realistic problems.

This Third Edition addresses various new topics and improvementsin the field of mathematical programming, and it also presents twosoftware programs, LP Assistant and the Solver add-in for MicrosoftOffice Excel, for solving linear programming problems. LPAssistant, developed by coauthor Gerard Keough, allows readers toperform the basic steps of the algorithms provided in the book andis freely available via the book's related Web site. The use of thesensitivity analysis report and integer programming algorithm fromthe Solver add-in for Microsoft Office Excel is introduced soreaders can solve the book's linear and integer programmingproblems. A detailed appendix contains instructions for the use ofboth applications.

Additional features of the Third Edition include:

A discussion of sensitivity analysis for the two-variableproblem, along with new examples demonstrating integer programming,non-linear programming, and make vs. buy modelsRevised proofs and a discussion on the relevance and solution ofthe dual problem

A section on developing an example in Data EnvelopmentAnalysis

An outline of the proof of John Nash's theorem on the existenceof equilibrium strategy pairs for non-cooperative, non-zero-sumgames

Providing a complete mathematical development of all presentedconcepts and examples, Introduction to Linear Programming andGame Theory, Third Edition is an ideal text for linearprogramming and mathematical modeling courses at theupper-undergraduate and graduate levels. It also serves as avaluable reference for professionals who use game theory inbusiness, economics, and management science.

Want to "know it ALL" when it comes to calculus? This book gives you the expert, one-on-one instruction you need, whether you're new to calculus or you're looking to ramp up your skills. Providing easy-to-understand concepts and thoroughly explained exercises, math whiz Stan Gibilisco serves as your own private tutor--without the expense! His clear, friendly guidance helps you tackle the concepts and problems that confuse you the most and work through them at your own pace.

Train your brain with ease! Calculus Know-It-ALL features:

Checkpoints to help you track your knowledge and skill level Problem/solution pairs and chapter-ending quizzes to reinforce learning Fully explained answers to all practice exercises A multiple-choice exam to prepare you for standardized tests "Extra Credit" and "Challenge" problems to stretch your mindStan's expert guidance gives you the know-how to:

Understand mappings, relations, and functions Calculate limits and determine continuity Differentiate and integrate functions Analyze graphs using first and second derivatives Define and evaluate inverse functions Use specialized integration techniques Determine arc lengths, surface areas, and solid volumes Work with multivariable functions Take college entrance examinations with confidence And much more!The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics. Complete solutions to the problems appear at the end of the text.

The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.

No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.

Review from the first edition:

"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably."

—MATHEMATICAL REVIEWS

But while the importance of the calculus and mathematical analysis ― the core of modern mathematics ― cannot be overemphasized, the value of this first comprehensive critical history of the calculus goes far beyond the subject matter. This book will fully counteract the impression of laymen, and of many mathematicians, that the great achievements of mathematics were formulated from the beginning in final form. It will give readers a sense of mathematics not as a technique, but as a habit of mind, and serve to bridge the gap between the sciences and the humanities. It will also make abundantly clear the modern understanding of mathematics by showing in detail how the concepts of the calculus gradually changed from the Greek view of the reality and immanence of mathematics to the revised concept of mathematical rigor developed by the great 19th century mathematicians, which held that any premises were valid so long as they were consistent with one another. It will make clear the ideas contributed by Zeno, Plato, Pythagoras, Eudoxus, the Arabic and Scholastic mathematicians, Newton, Leibnitz, Taylor, Descartes, Euler, Lagrange, Cantor, Weierstrass, and many others in the long passage from the Greek "method of exhaustion" and Zeno's paradoxes to the modern concept of the limit independent of sense experience; and illuminate not only the methods of mathematical discovery, but the foundations of mathematical thought as well.

Opening chapters on classical mechanics examine the laws of particle mechanics; generalized coordinates and differentiable manifolds; oscillations, waves, and Hilbert space; and statistical mechanics. A survey of quantum mechanics covers the old quantum theory; the quantum-mechanical substitute for phase space; quantum dynamics and the Schrödinger equation; the canonical "quantization" of a classical system; some elementary examples and original discoveries by Schrödinger and Heisenberg; generalized coordinates; linear systems and the quantization of the electromagnetic field; and quantum-statistical mechanics.

The final section on group theory and quantum mechanics of the atom explores basic notions in the theory of group representations; perturbations and the group theoretical classification of eigenvalues; spherical symmetry and spin; and the n-electron atom and the Pauli exclusion principle.

After a brief overview, the approach begins with elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series of exercises, and an appendix and indexes supplement the text.

An Instructor's Manual presenting detailed solutions to all theproblems in the book is available online.

Tensor Calculus contains eight chapters. The first four deal with the basic concepts of tensors, Riemannian spaces, Riemannian curvature, and spaces of constant curvature. The next three chapters are concerned with applications to classical dynamics, hydrodynamics, elasticity, electromagnetic radiation, and the theorems of Stokes and Green. In the final chapter, an introduction is given to non-Riemannian spaces including such subjects as affine, Weyl, and projective spaces. There are two appendixes which discuss the reduction of a quadratic form and multiple integration. At the conclusion of each chapter a summary of the most important formulas and a set of exercises are given. More exercises are scattered throughout the text. The special and general theory of relativity is briefly discussed where applicable.

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In Making Things Move: DIY Mechanisms for Inventors, Hobbyists, and Artists, you'll learn how to successfully build moving mechanisms through non-technical explanations, examples, and do-it-yourself projects--from kinetic art installations to creative toys to energy-harvesting devices. Photographs, illustrations, screen shots, and images of 3D models are included for each project.

This unique resource emphasizes using off-the-shelf components, readily available materials, and accessible fabrication techniques. Simple projects give you hands-on practice applying the skills covered in each chapter, and more complex projects at the end of the book incorporate topics from multiple chapters. Turn your imaginative ideas into reality with help from this practical, inventive guide.

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Find and select materials Fasten and join parts Measure force, friction, and torque Understand mechanical and electrical power, work, and energy Create and control motion Work with bearings, couplers, gears, screws, and springs Combine simple machines for work and funProjects include:

Rube Goldberg breakfast machine Mousetrap powered car DIY motor with magnet wire Motor direction and speed control Designing and fabricating spur gears Animated creations in paper An interactive rotating platform Small vertical axis wind turbine SADbot: the seasonally affected drawing robotMake Great Stuff!

TAB, an imprint of McGraw-Hill Professional, is a leading publisher of DIY technology books for makers, hackers, and electronics hobbyists.

"This book covers many interesting topics not usually covered in a present day undergraduate course, as well as certain basic topics such as the development of the calculus and the solution of polynomial equations. The fact that the topics are introduced in their historical contexts will enable students to better appreciate and understand the mathematical ideas involved...If one constructs a list of topics central to a history course, then they would closely resemble those chosen here."

(David Parrott, Australian Mathematical Society)

"The book...is presented in a lively style without unnecessary detail. It is very stimulating and will be appreciated not only by students. Much attention is paid to problems and to the development of mathematics before the end of the nineteenth century... This book brings to the non-specialist interested in mathematics many interesting results. It can be recommended for seminars and will be enjoyed by the broad mathematical community."

(European Mathematical Society)

"Since Stillwell treats many topics, most mathematicians will learn a lot from this book as well as they will find pleasant and rather clear expositions of custom materials. The book is accessible to students that have already experienced calculus, algebra and geometry and will give them a good account of how the different branches of mathematics interact."

(Denis Bonheure, Bulletin of the Belgian Society)

This third edition includes new chapters on simple groups and combinatorics, and new sections on several topics, including the Poincare conjecture. The book has also been enriched by added exercises.

"The main object of this book is to dispel the fear of mathematics," declares author W. W. Sawyer, adding that "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." Now retired, Sawyer won international renown for his innovative teaching methods, which he used at colleges in England and Scotland as well as Africa, New Zealand, and North America. His insights into the pleasures and practicalities of mathematics will appeal to readers of all backgrounds.