Author: Michel Mallenby
Publisher: Cognella Academic Publishing
ISBN: 9781516541256
Category :
Languages : en
Pages :
Book Description
Business Calculus: Backward and Forward presents calculus lessons "backward"--from definite integrals to limits to derivatives to indefinite integrals. This approach first introduces the concept of area, which is more intuitive for students, before advancing to the concept of slope. Additionally, the text features exercises and problems that are exclusively business related. All solutions to odd-numbered problems are included, as well as answers to even-numbered problems. In Unit I, students learn integration in order to find the area between curves, using linear, quadratic, cubic, and exponential functions. Unit II focuses on determining limits. Students then learn how Riemann Sums can be used to approximate areas. In Units III and IV, students learn the Power Rule for taking derivatives and then learn to identify curve properties such as slope, concavity, relative and absolute extrema, and inflection points. Unit V incorporates the Product and Quotient Rules, the Chain Rule, and derivatives of transcendental functions. The final unit addresses implicit differentiation, related rates, integration by substitution, and a return to integration with indefinite integrals. Review material is included throughout the text to assist students in revisiting previously learned material and support mastery of new concepts. Featuring a class-tested, innovative approach, Business Calculus is an ideal resource for courses in applied mathematics for business.
Business Calculus: Backward and Forward (First Edition)
Author: Michel Mallenby
Publisher: Cognella Academic Publishing
ISBN: 9781516541256
Category :
Languages : en
Pages :
Book Description
Business Calculus: Backward and Forward presents calculus lessons "backward"--from definite integrals to limits to derivatives to indefinite integrals. This approach first introduces the concept of area, which is more intuitive for students, before advancing to the concept of slope. Additionally, the text features exercises and problems that are exclusively business related. All solutions to odd-numbered problems are included, as well as answers to even-numbered problems. In Unit I, students learn integration in order to find the area between curves, using linear, quadratic, cubic, and exponential functions. Unit II focuses on determining limits. Students then learn how Riemann Sums can be used to approximate areas. In Units III and IV, students learn the Power Rule for taking derivatives and then learn to identify curve properties such as slope, concavity, relative and absolute extrema, and inflection points. Unit V incorporates the Product and Quotient Rules, the Chain Rule, and derivatives of transcendental functions. The final unit addresses implicit differentiation, related rates, integration by substitution, and a return to integration with indefinite integrals. Review material is included throughout the text to assist students in revisiting previously learned material and support mastery of new concepts. Featuring a class-tested, innovative approach, Business Calculus is an ideal resource for courses in applied mathematics for business.
Publisher: Cognella Academic Publishing
ISBN: 9781516541256
Category :
Languages : en
Pages :
Book Description
Business Calculus: Backward and Forward presents calculus lessons "backward"--from definite integrals to limits to derivatives to indefinite integrals. This approach first introduces the concept of area, which is more intuitive for students, before advancing to the concept of slope. Additionally, the text features exercises and problems that are exclusively business related. All solutions to odd-numbered problems are included, as well as answers to even-numbered problems. In Unit I, students learn integration in order to find the area between curves, using linear, quadratic, cubic, and exponential functions. Unit II focuses on determining limits. Students then learn how Riemann Sums can be used to approximate areas. In Units III and IV, students learn the Power Rule for taking derivatives and then learn to identify curve properties such as slope, concavity, relative and absolute extrema, and inflection points. Unit V incorporates the Product and Quotient Rules, the Chain Rule, and derivatives of transcendental functions. The final unit addresses implicit differentiation, related rates, integration by substitution, and a return to integration with indefinite integrals. Review material is included throughout the text to assist students in revisiting previously learned material and support mastery of new concepts. Featuring a class-tested, innovative approach, Business Calculus is an ideal resource for courses in applied mathematics for business.
The Six Pillars of Calculus: Business Edition
Author: Lorenzo Sadun
Publisher: American Mathematical Society
ISBN: 1470469952
Category : Mathematics
Languages : en
Pages : 379
Book Description
The Six Pillars of Calculus: Business Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling and solving a challenging, realistic problem. This engaging process of discovery encourages students to wrestle with the material and understand the reasoning behind the techniques they are learning—to focus on when and why to use the tools of calculus, not just on how to apply formulas. Modeling and differential equations are front and center. Solutions begin with numerical approximations; derivatives and integrals emerge naturally as refinements of those approximations. Students use and modify computer programs to reinforce their understanding of each algorithm. The Business Edition of the Six Pillars series has been extensively field-tested at the University of Texas. It features hundreds of examples and problems designed specifically for business students. The core ideas are introduced by modeling market penetration of a new product, tracking changes in the national debt, and maximizing the profit of a business. Along the way, students learn about present value, consumer and producer surplus, amortization, and probability.
Publisher: American Mathematical Society
ISBN: 1470469952
Category : Mathematics
Languages : en
Pages : 379
Book Description
The Six Pillars of Calculus: Business Edition is a conceptual and practical introduction to differential and integral calculus for use in a one- or two-semester course. By boiling calculus down to six common-sense ideas, the text invites students to make calculus an integral part of how they view the world. Each pillar is introduced by tackling and solving a challenging, realistic problem. This engaging process of discovery encourages students to wrestle with the material and understand the reasoning behind the techniques they are learning—to focus on when and why to use the tools of calculus, not just on how to apply formulas. Modeling and differential equations are front and center. Solutions begin with numerical approximations; derivatives and integrals emerge naturally as refinements of those approximations. Students use and modify computer programs to reinforce their understanding of each algorithm. The Business Edition of the Six Pillars series has been extensively field-tested at the University of Texas. It features hundreds of examples and problems designed specifically for business students. The core ideas are introduced by modeling market penetration of a new product, tracking changes in the national debt, and maximizing the profit of a business. Along the way, students learn about present value, consumer and producer surplus, amortization, and probability.
Advanced Calculus (Revised Edition)
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Intellectics and Computational Logic
Author: Steffen Hölldobler
Publisher: Springer Science & Business Media
ISBN: 9401593833
Category : Philosophy
Languages : en
Pages : 388
Book Description
`Intellectics' seeks to understand the functions, structure and operation of the human intellect and to test artificial systems to see the extent to which they can substitute or complement such functions. The word itself was introduced in the early 1980s by Wolfgang Bibel to describe the united fields of artificial intelligence and cognitive science. The book collects papers by distinguished researchers, colleagues and former students of Bibel's, all of whom have worked together with him, and who present their work to him here to mark his 60th birthday. The papers discuss significant issues in intellectics and computational logic, ranging across automated deduction, logic programming, the logic-based approach to intellectics, cognitive robotics, knowledge representation and reasoning. Each paper contains new, previously unpublished, reviewed results. The collection is a state of the art account of the current capabilities and limitations of a computational-logic-based approach to intellectics. Readership: Researchers who are convinced that the intelligent behaviour of machines should be based on a rigid formal treatment of knowledge representation and reasoning.
Publisher: Springer Science & Business Media
ISBN: 9401593833
Category : Philosophy
Languages : en
Pages : 388
Book Description
`Intellectics' seeks to understand the functions, structure and operation of the human intellect and to test artificial systems to see the extent to which they can substitute or complement such functions. The word itself was introduced in the early 1980s by Wolfgang Bibel to describe the united fields of artificial intelligence and cognitive science. The book collects papers by distinguished researchers, colleagues and former students of Bibel's, all of whom have worked together with him, and who present their work to him here to mark his 60th birthday. The papers discuss significant issues in intellectics and computational logic, ranging across automated deduction, logic programming, the logic-based approach to intellectics, cognitive robotics, knowledge representation and reasoning. Each paper contains new, previously unpublished, reviewed results. The collection is a state of the art account of the current capabilities and limitations of a computational-logic-based approach to intellectics. Readership: Researchers who are convinced that the intelligent behaviour of machines should be based on a rigid formal treatment of knowledge representation and reasoning.
Differential Forms
Author: Steven H. Weintraub
Publisher: Academic Press
ISBN: 9780127425108
Category : Business & Economics
Languages : en
Pages : 50
Book Description
This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more readily understandable. Differential forms unify and simplify the subject of multivariable calculus, and students who learn the subject as it is presented in this book should come away with a better conceptual understanding of it than those who learn using conventional methods. * Treats vector calculus using differential forms * Presents a very concrete introduction to differential forms * Develops Stokess theorem in an easily understandable way * Gives well-supported, carefully stated, and thoroughly explained definitions and theorems. * Provides glimpses of further topics to entice the interested student
Publisher: Academic Press
ISBN: 9780127425108
Category : Business & Economics
Languages : en
Pages : 50
Book Description
This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students taking courses in multivariable calculus, this innovative book aims to make the subject more readily understandable. Differential forms unify and simplify the subject of multivariable calculus, and students who learn the subject as it is presented in this book should come away with a better conceptual understanding of it than those who learn using conventional methods. * Treats vector calculus using differential forms * Presents a very concrete introduction to differential forms * Develops Stokess theorem in an easily understandable way * Gives well-supported, carefully stated, and thoroughly explained definitions and theorems. * Provides glimpses of further topics to entice the interested student
Probability and Statistics
Author: Ronald Deep
Publisher: Elsevier
ISBN: 0080480381
Category : Mathematics
Languages : en
Pages : 707
Book Description
Probability and Statistics is a calculus-based treatment of probability concurrent with and integrated with statistics.* Incorporates more than 1,000 engaging problems with answers* Includes more than 300 solved examples* Uses varied problem solving methods
Publisher: Elsevier
ISBN: 0080480381
Category : Mathematics
Languages : en
Pages : 707
Book Description
Probability and Statistics is a calculus-based treatment of probability concurrent with and integrated with statistics.* Incorporates more than 1,000 engaging problems with answers* Includes more than 300 solved examples* Uses varied problem solving methods
Computational Methods in Finance
Author: Ali Hirsa
Publisher: CRC Press
ISBN: 1498778615
Category : Business & Economics
Languages : en
Pages : 644
Book Description
Computational Methods in Finance is a book developed from the author’s courses at Columbia University and the Courant Institute of New York University. This self-contained text is designed for graduate students in financial engineering and mathematical finance, as well as practitioners in the financial industry. It will help readers accurately price a vast array of derivatives. This new edition has been thoroughly revised throughout to bring it up to date with recent developments. It features numerous new exercises and examples, as well as two entirely new chapters on machine learning. Features Explains how to solve complex functional equations through numerical methods Includes dozens of challenging exercises Suitable as a graduate-level textbook for financial engineering and financial mathematics or as a professional resource for working quants.
Publisher: CRC Press
ISBN: 1498778615
Category : Business & Economics
Languages : en
Pages : 644
Book Description
Computational Methods in Finance is a book developed from the author’s courses at Columbia University and the Courant Institute of New York University. This self-contained text is designed for graduate students in financial engineering and mathematical finance, as well as practitioners in the financial industry. It will help readers accurately price a vast array of derivatives. This new edition has been thoroughly revised throughout to bring it up to date with recent developments. It features numerous new exercises and examples, as well as two entirely new chapters on machine learning. Features Explains how to solve complex functional equations through numerical methods Includes dozens of challenging exercises Suitable as a graduate-level textbook for financial engineering and financial mathematics or as a professional resource for working quants.
MATH 221 FIRST Semester Calculus
Author: Sigurd Angenent
Publisher:
ISBN: 9781505204841
Category :
Languages : en
Pages : 134
Book Description
MATH 221 FIRST Semester CalculusBy Sigurd Angenent
Publisher:
ISBN: 9781505204841
Category :
Languages : en
Pages : 134
Book Description
MATH 221 FIRST Semester CalculusBy Sigurd Angenent
Burn Math Class
Author: Jason Wilkes
Publisher: Basic Books
ISBN: 0465073816
Category : Mathematics
Languages : en
Pages : 301
Book Description
A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
Publisher: Basic Books
ISBN: 0465073816
Category : Mathematics
Languages : en
Pages : 301
Book Description
A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.
Theorem Proving in Higher Order Logics
Author: Yves Bertot
Publisher: Springer Science & Business Media
ISBN: 3540664637
Category : Mathematics
Languages : en
Pages : 363
Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '99, held in Nice, France, in September 1999. The 20 revised full papers presented together with three invited contributions were carefully reviewed and selected from 35 papers submitted. All current aspects of higher order theorem proving, formal verification, and specification are discussed. Among the theorem provers evaluated are COQ, HOL, Isabelle, Isabelle/ZF, and OpenMath.
Publisher: Springer Science & Business Media
ISBN: 3540664637
Category : Mathematics
Languages : en
Pages : 363
Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '99, held in Nice, France, in September 1999. The 20 revised full papers presented together with three invited contributions were carefully reviewed and selected from 35 papers submitted. All current aspects of higher order theorem proving, formal verification, and specification are discussed. Among the theorem provers evaluated are COQ, HOL, Isabelle, Isabelle/ZF, and OpenMath.