Author: Jared Leys
Publisher: Lulu.com
ISBN: 1300106786
Category : Poetry
Languages : en
Pages : 72
Book Description
The Gloaming Limn is where the light meets the dark and a choice is required. This book of poetry by Jared Leys is his first, but he explores topics ranging from the mundane to the sublime, and all the while questions what it truly means to live spiritually. "A choice is presented in the gloaming limn--a choice of importance to those listening. It is found that there is a difference between darkness and illumination in which a decision is necessary. There is a lack of perfection in those who witness the gloaming, and so by the limn have their choice. "May the choosing result only in life and never in death."
The Gloaming Limn
Author: Jared Leys
Publisher: Lulu.com
ISBN: 1300106786
Category : Poetry
Languages : en
Pages : 72
Book Description
The Gloaming Limn is where the light meets the dark and a choice is required. This book of poetry by Jared Leys is his first, but he explores topics ranging from the mundane to the sublime, and all the while questions what it truly means to live spiritually. "A choice is presented in the gloaming limn--a choice of importance to those listening. It is found that there is a difference between darkness and illumination in which a decision is necessary. There is a lack of perfection in those who witness the gloaming, and so by the limn have their choice. "May the choosing result only in life and never in death."
Publisher: Lulu.com
ISBN: 1300106786
Category : Poetry
Languages : en
Pages : 72
Book Description
The Gloaming Limn is where the light meets the dark and a choice is required. This book of poetry by Jared Leys is his first, but he explores topics ranging from the mundane to the sublime, and all the while questions what it truly means to live spiritually. "A choice is presented in the gloaming limn--a choice of importance to those listening. It is found that there is a difference between darkness and illumination in which a decision is necessary. There is a lack of perfection in those who witness the gloaming, and so by the limn have their choice. "May the choosing result only in life and never in death."
The Foundations of Real Analysis
Author: Richard Mikula
Publisher: Universal-Publishers
ISBN: 1627345655
Category : Mathematics
Languages : en
Pages : 505
Book Description
This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises throughout the text.
Publisher: Universal-Publishers
ISBN: 1627345655
Category : Mathematics
Languages : en
Pages : 505
Book Description
This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises throughout the text.
Microeconomic Foundations I
Author: David M. Kreps
Publisher: Princeton University Press
ISBN: 140084536X
Category : Business & Economics
Languages : en
Pages : 584
Book Description
A guide to mastering microeconomic theory Microeconomic Foundations I develops the choice, price, and general equilibrium theory topics typically found in first-year theory sequences, but in deeper and more complete mathematical form than most standard texts provide. The objective is to take the reader from acquaintance with these foundational topics to something closer to mastery of the models and results connected to them. Provides a rigorous treatment of some of the basic tools of economic modeling and reasoning, along with an assessment of the strengths and weaknesses of these tools Complements standard texts Covers choice, preference, and utility; structural properties of preferences and utility functions; basics of consumer demand; revealed preference and Afriat's Theorem; choice under uncertainty; dynamic choice; social choice and efficiency; competitive and profit-maximizing firms; expenditure minimization; demand theory (duality methods); producer and consumer surplus; aggregation; general equilibrium; efficiency and the core; GET, time, and uncertainty; and other topics Features a free web-based student's guide, which gives solutions to approximately half the problems, and a limited-access instructor's manual, which provides solutions to the rest of the problems Contains appendixes that review most of the specific mathematics employed in the book, including a from-first-principles treatment of dynamic programming
Publisher: Princeton University Press
ISBN: 140084536X
Category : Business & Economics
Languages : en
Pages : 584
Book Description
A guide to mastering microeconomic theory Microeconomic Foundations I develops the choice, price, and general equilibrium theory topics typically found in first-year theory sequences, but in deeper and more complete mathematical form than most standard texts provide. The objective is to take the reader from acquaintance with these foundational topics to something closer to mastery of the models and results connected to them. Provides a rigorous treatment of some of the basic tools of economic modeling and reasoning, along with an assessment of the strengths and weaknesses of these tools Complements standard texts Covers choice, preference, and utility; structural properties of preferences and utility functions; basics of consumer demand; revealed preference and Afriat's Theorem; choice under uncertainty; dynamic choice; social choice and efficiency; competitive and profit-maximizing firms; expenditure minimization; demand theory (duality methods); producer and consumer surplus; aggregation; general equilibrium; efficiency and the core; GET, time, and uncertainty; and other topics Features a free web-based student's guide, which gives solutions to approximately half the problems, and a limited-access instructor's manual, which provides solutions to the rest of the problems Contains appendixes that review most of the specific mathematics employed in the book, including a from-first-principles treatment of dynamic programming
Aspects of Differential Geometry IV
Author: Esteban Calviño-Louzao
Publisher: Springer Nature
ISBN: 3031024168
Category : Mathematics
Languages : en
Pages : 149
Book Description
Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces {which} are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group R2 is Abelian and the + group\index{ax+b group} is non-Abelian. The first chapter presents foundational material. The second chapter deals with Type surfaces. These are the left-invariant affine geometries on R2. Associating to each Type surface the space of solutions to the quasi-Einstein equation corresponding to the eigenvalue =-1$ turns out to be a very powerful technique and plays a central role in our study as it links an analytic invariant with the underlying geometry of the surface. The third chapter deals with Type surfaces; these are the left-invariant affine geometries on the + group. These geometries form a very rich family which is only partially understood. The only remaining homogeneous geometry is that of the sphere 2. The fourth chapter presents relations between the geometry of an affine surface and the geometry of the cotangent bundle equipped with the neutral signature metric of the modified Riemannian extension.
Publisher: Springer Nature
ISBN: 3031024168
Category : Mathematics
Languages : en
Pages : 149
Book Description
Book IV continues the discussion begun in the first three volumes. Although it is aimed at first-year graduate students, it is also intended to serve as a basic reference for people working in affine differential geometry. It also should be accessible to undergraduates interested in affine differential geometry. We are primarily concerned with the study of affine surfaces {which} are locally homogeneous. We discuss affine gradient Ricci solitons, affine Killing vector fields, and geodesic completeness. Opozda has classified the affine surface geometries which are locally homogeneous; we follow her classification. Up to isomorphism, there are two simply connected Lie groups of dimension 2. The translation group R2 is Abelian and the + group\index{ax+b group} is non-Abelian. The first chapter presents foundational material. The second chapter deals with Type surfaces. These are the left-invariant affine geometries on R2. Associating to each Type surface the space of solutions to the quasi-Einstein equation corresponding to the eigenvalue =-1$ turns out to be a very powerful technique and plays a central role in our study as it links an analytic invariant with the underlying geometry of the surface. The third chapter deals with Type surfaces; these are the left-invariant affine geometries on the + group. These geometries form a very rich family which is only partially understood. The only remaining homogeneous geometry is that of the sphere 2. The fourth chapter presents relations between the geometry of an affine surface and the geometry of the cotangent bundle equipped with the neutral signature metric of the modified Riemannian extension.
Introduction to Real Analysis
Author: Manfred Stoll
Publisher: CRC Press
ISBN: 1000345149
Category : Mathematics
Languages : en
Pages : 501
Book Description
This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics.
Publisher: CRC Press
ISBN: 1000345149
Category : Mathematics
Languages : en
Pages : 501
Book Description
This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions. A list of updates is found in the Preface to this edition. This text is based on the author’s experience in teaching graduate courses and the minimal requirements for successful graduate study. The text is understandable to the typical student enrolled in the course, taking into consideration the variations in abilities, background, and motivation. Chapters one through six have been written to be accessible to the average student, w hile at the same time challenging the more talented student through the exercises. Chapters seven through ten assume the students have achieved some level of expertise in the subject. In these chapters, the theorems, examples, and exercises require greater sophistication and mathematical maturity for full understanding. In addition to the standard topics the text includes topics that are not always included in comparable texts. Chapter 6 contains a section on the Riemann-Stieltjes integral and a proof of Lebesgue’s t heorem providing necessary and sufficient conditions for Riemann integrability. Chapter 7 also includes a section on square summable sequences and a brief introduction to normed linear spaces. C hapter 8 contains a proof of the Weierstrass approximation theorem using the method of aapproximate identities. The inclusion of Fourier series in the text allows the student to gain some exposure to this important subject. The final chapter includes a detailed treatment of Lebesgue measure and the Lebesgue integral, using inner and outer measure. The exercises at the end of each section reinforce the concepts. Notes provide historical comments or discuss additional topics.
Geometry of Linear 2-normed Spaces
Author: Raymond W. Freese
Publisher: Nova Publishers
ISBN: 9781590330197
Category : Mathematics
Languages : en
Pages : 314
Book Description
Publisher: Nova Publishers
ISBN: 9781590330197
Category : Mathematics
Languages : en
Pages : 314
Book Description
Calculus Early Transcendentals, Multivariable
Author: Michael Sullivan
Publisher: Macmillan Higher Education
ISBN: 131924288X
Category : Mathematics
Languages : en
Pages : 2225
Book Description
Michael Sullivan and Kathleen Miranda have written a contemporary calculus textbook that instructors will respect and students can use. Consistent in its use of language and notation, Sullivan/Miranda’s Calculus offers clear and precise mathematics at an appropriate level of rigor. The authors help students learn calculus conceptually, while also emphasizing computational and problem-solving skills. The book contains a wide array of problems including engaging challenge problems and applied exercises that model the physical sciences, life sciences, economics, and other disciplines. Algebra-weak students will benefit from marginal annotations that help strengthen algebraic understanding, the many references to review material, and extensive practice exercises. Strong media offerings include interactive figures and online homework. Sullivan/Miranda’s Calculus has been built with today’s instructors and students in mind.
Publisher: Macmillan Higher Education
ISBN: 131924288X
Category : Mathematics
Languages : en
Pages : 2225
Book Description
Michael Sullivan and Kathleen Miranda have written a contemporary calculus textbook that instructors will respect and students can use. Consistent in its use of language and notation, Sullivan/Miranda’s Calculus offers clear and precise mathematics at an appropriate level of rigor. The authors help students learn calculus conceptually, while also emphasizing computational and problem-solving skills. The book contains a wide array of problems including engaging challenge problems and applied exercises that model the physical sciences, life sciences, economics, and other disciplines. Algebra-weak students will benefit from marginal annotations that help strengthen algebraic understanding, the many references to review material, and extensive practice exercises. Strong media offerings include interactive figures and online homework. Sullivan/Miranda’s Calculus has been built with today’s instructors and students in mind.
An Introduction to Real Analysis
Author: Ravi P. Agarwal
Publisher: CRC Press
ISBN: 1351180622
Category : Mathematics
Languages : en
Pages : 208
Book Description
This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course.
Publisher: CRC Press
ISBN: 1351180622
Category : Mathematics
Languages : en
Pages : 208
Book Description
This book provides a compact, but thorough, introduction to the subject of Real Analysis. It is intended for a senior undergraduate and for a beginning graduate one-semester course.
The Theory of Measures and Integration
Author: Eric M. Vestrup
Publisher: John Wiley & Sons
ISBN: 0470317957
Category : Mathematics
Languages : en
Pages : 622
Book Description
An accessible, clearly organized survey of the basic topics of measure theory for students and researchers in mathematics, statistics, and physics In order to fully understand and appreciate advanced probability, analysis, and advanced mathematical statistics, a rudimentary knowledge of measure theory and like subjects must first be obtained. The Theory of Measures and Integration illuminates the fundamental ideas of the subject-fascinating in their own right-for both students and researchers, providing a useful theoretical background as well as a solid foundation for further inquiry. Eric Vestrup's patient and measured text presents the major results of classical measure and integration theory in a clear and rigorous fashion. Besides offering the mainstream fare, the author also offers detailed discussions of extensions, the structure of Borel and Lebesgue sets, set-theoretic considerations, the Riesz representation theorem, and the Hardy-Littlewood theorem, among other topics, employing a clear presentation style that is both evenly paced and user-friendly. Chapters include: * Measurable Functions * The Lp Spaces * The Radon-Nikodym Theorem * Products of Two Measure Spaces * Arbitrary Products of Measure Spaces Sections conclude with exercises that range in difficulty between easy "finger exercises"and substantial and independent points of interest. These more difficult exercises are accompanied by detailed hints and outlines. They demonstrate optional side paths in the subject as well as alternative ways of presenting the mainstream topics. In writing his proofs and notation, Vestrup targets the person who wants all of the details shown up front. Ideal for graduate students in mathematics, statistics, and physics, as well as strong undergraduates in these disciplines and practicing researchers, The Theory of Measures and Integration proves both an able primary text for a real analysis sequence with a focus on measure theory and a helpful background text for advanced courses in probability and statistics.
Publisher: John Wiley & Sons
ISBN: 0470317957
Category : Mathematics
Languages : en
Pages : 622
Book Description
An accessible, clearly organized survey of the basic topics of measure theory for students and researchers in mathematics, statistics, and physics In order to fully understand and appreciate advanced probability, analysis, and advanced mathematical statistics, a rudimentary knowledge of measure theory and like subjects must first be obtained. The Theory of Measures and Integration illuminates the fundamental ideas of the subject-fascinating in their own right-for both students and researchers, providing a useful theoretical background as well as a solid foundation for further inquiry. Eric Vestrup's patient and measured text presents the major results of classical measure and integration theory in a clear and rigorous fashion. Besides offering the mainstream fare, the author also offers detailed discussions of extensions, the structure of Borel and Lebesgue sets, set-theoretic considerations, the Riesz representation theorem, and the Hardy-Littlewood theorem, among other topics, employing a clear presentation style that is both evenly paced and user-friendly. Chapters include: * Measurable Functions * The Lp Spaces * The Radon-Nikodym Theorem * Products of Two Measure Spaces * Arbitrary Products of Measure Spaces Sections conclude with exercises that range in difficulty between easy "finger exercises"and substantial and independent points of interest. These more difficult exercises are accompanied by detailed hints and outlines. They demonstrate optional side paths in the subject as well as alternative ways of presenting the mainstream topics. In writing his proofs and notation, Vestrup targets the person who wants all of the details shown up front. Ideal for graduate students in mathematics, statistics, and physics, as well as strong undergraduates in these disciplines and practicing researchers, The Theory of Measures and Integration proves both an able primary text for a real analysis sequence with a focus on measure theory and a helpful background text for advanced courses in probability and statistics.
Dynamics of the Box-Ball System with Random Initial Conditions via Pitman’s Transformation
Author: David A. Croydon
Publisher: American Mathematical Society
ISBN: 1470456338
Category : Mathematics
Languages : en
Pages : 114
Book Description
View the abstract.
Publisher: American Mathematical Society
ISBN: 1470456338
Category : Mathematics
Languages : en
Pages : 114
Book Description
View the abstract.