Dewey Edition21
ReviewsFrom the reviews:"This is an introductory text on optimization methods written for students of science and engineering. … The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques … ." (K. Marti, ZAMM Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004)"This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. … The book is well written and reads easily … . Each chapter is followed by a series of exercises, and a selective bibliography … . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve as a general reference for the audience to whom it is addressed." (Gérard Lebourg, Mathematical Reviews, 2004j)"The undergraduate textbook introduces students of science and engineering to the field of optimization. It brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction … . There are numerous examples, illustrations, and exercises throughout the text." (Zentralblatt für Didaktik der Mathematik, Mai, 2004)"This book introduces students of science and engineering to the fascinating field of optimisation. Several features have been united: conciseness and completeness, brevity and clarity … . It's a unique book that brings together the subfields … thus giving students an overall view of all aspects of optimisation … . There are numerous examples, illustrations and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers and scientists will all find this introduction to optimisation extremely useful." (Gregory Guisbiers, Physicalia, Vol. 57 (3), 2005), From the reviews: "This is an introductory text on optimization methods written for students of science and engineering. ... The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques ... ." (K. Marti, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004) "This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. ... The book is well written and reads easily ... . Each chapter is followed by a series of exercises, and a selective bibliography ... . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve as a general reference for the audience to whom it is addressed." (Gérard Lebourg, Mathematical Reviews, 2004j) "The undergraduate textbook introduces students of science and engineering to the field of optimization. It brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction ... . There are numerous examples, illustrations, and exercises throughout the text." (Zentralblatt für Didaktik der Mathematik, Mai, 2004) "This book introduces students of science and engineering to the fascinating field of optimisation. Several features have been united: conciseness and completeness, brevity and clarity ... . It's a unique book that brings together the subfields ... thus giving studentsan overall view of all aspects of optimisation ... . There are numerous examples, illustrations and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers and scientists will all find this introduction to optimisation extremely useful." (Gregory Guisbiers, Physicalia, Vol. 57 (3), 2005), From the reviews: "This is an introductory text on optimization methods written for students of science and engineering. a? The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques a? ." (K. Marti, ZAMM a? Zeitschrift f'r Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004) "This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. a? The book is well written and reads easily a? . Each chapter is followed by a series of exercises, and a selective bibliography a? . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve as a general reference for the audience to whom it is addressed." (G'rard Lebourg, Mathematical Reviews, 2004j) "The undergraduate textbook introduces students of science and engineering to the field of optimization. It brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction a? . There are numerous examples, illustrations, and exercises throughout the text." (Zentralblatt f'r Didaktik der Mathematik, Mai, 2004) "This book introduces students of science and engineering to the fascinating field of optimisation. Several features have been united: conciseness and completeness, brevity and clarity a? . Ita's a unique book that brings together the subfields a? thus giving students an overall view of all aspects of optimisation a? . There are numerous examples, illustrations and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers and scientists will all find this introduction to optimisation extremely useful." (Gregory Guisbiers, Physicalia, Vol. 57 (3), 2005), From the reviews: "This is an introductory text on optimization methods written for students of science and engineering. ... The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques ... ." (K. Marti, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004) "This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. ... The book is well written and reads easily ... . Each chapter is followed by a series of exercises, and a selective bibliography ... . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve as a general reference for the audience to whom it is addressed." (Gérard Lebourg, Mathematical Reviews, 2004j) "The undergraduate textbook introduces students of science and engineering to the field of optimization. It brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction ... . There are numerous examples, illustrations, and exercises throughout the text." (Zentralblatt für Didaktik der Mathematik, Mai, 2004) "This book introduces students of science and engineering to the fascinating field of optimisation. Several features have been united: conciseness and completeness, brevity and clarity ... . It's a unique book that brings together the subfields ... thus giving students an overall view of all aspects of optimisation ... . There are numerous examples, illustrations and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers and scientists will all find this introduction to optimisation extremely useful." (Gregory Guisbiers, Physicalia, Vol. 57 (3), 2005), From the reviews: "This is an introductory text on optimization methods written for students of science and engineering. ... The variety of the different optimization tasks is illustrated in the introductory chapter by several concrete examples. The basic ideas and techniques for solving the different types of optimization problems are motivated by using many examples and illustrations. Hence, this book is suitable for readers who want to get first information about optimization and optimization techniques ... ." (K. Marti, ZAMM - Zeitschrift fr Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004) "This book aims at providing undergraduate students and graduate beginners in science and engineering with a general overview of optimization theory. ... The book is well written and reads easily ... . Each chapter is followed by a series of exercises, and a selective bibliography ... . The book will be suitable for a self-study of optimization or to support a general introductory course. It is likely to also serve as a general reference for the audience to whom it is addressed." (Grard Lebourg, Mathematical Reviews, 2004j) "The undergraduate textbook introduces students of science and engineering to the field of optimization. It brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction ... . There are numerous examples, illustrations, and exercises throughout the text." (Zentralblatt fr Didaktik der Mathematik, Mai, 2004) "This book introduces students of science and engineering to the fascinating field of optimisation. Several features have been united: conciseness and completeness, brevity and clarity ... . It's a unique book that brings together the subfields ... thus giving students an overall view of all aspects of optimisation ... . There are numerous examples, illustrations and exercises throughout the text, making it an ideal book for self-study. Applied mathematicians, physicists, engineers and scientists will all find this introduction to optimisation extremely useful." (Gregory Guisbiers, Physicalia, Vol. 57 (3), 2005)
Table Of ContentLinear Programming.- Nonlinear Programming.- Approximation Techniques.- Variational Problems and Dynamic Programming.- Optimal Control.
SynopsisThis undergraduate textbook aims to introduce students of science and engineering to the fascinating field of optimization. It brings together mathematical programming, variational problems, and optimal control, thus giving students an overall view of the subject. Applied mathematicians, physicists, engineers, and scientists will all find this introduction to optimization useful., This undergraduate textbook introduces students of science and engineering to the fascinating field of optimization. It is a unique book that brings together the subfields of mathematical programming, variational calculus, and optimal control, thus giving students an overall view of all aspects of optimization in a single reference. As a primer on optimization, its main goal is to provide a succinct and accessible introduction to linear programming, nonlinear programming, numerical optimization algorithms, variational problems, dynamic programming, and optimal control. Prerequisites have been kept to a minimum, although a basic knowledge of calculus, linear algebra, and differential equations is assumed., Mathematicsisplayinganevermoreimportantroleinthephysicaland biologicalsciences,provokingablurringofboundariesbetweenscientific disciplinesandaresurgenceofinterestinthemodernaswellastheclassical techniquesofappliedmathematics. Thisrenewalofinterest,bothin- searchandteaching,hasledtotheestablishmentoftheseriesTextsin AppliedMathematics(TAM). Thedevelopmentofnewcoursesisanaturalconsequenceofahighlevel ofexcitementontheresearchfrontierasnewertechniques,suchasnume- calandsymboliccomputersystems,dynamicalsystems,andchaos,mix withandreinforcethetraditionalmethodsofappliedmathematics. Thus, thepurposeofthistextbookseriesistomeetthecurrentandfutureneeds oftheseadvancesandtoencouragetheteachingofnewcourses. TAMwillpublishtextbookssuitableforuseinadvancedundergraduate andbeginninggraduatecourses,andwillcomplementtheAppliedMat- maticalSciences(AMS)series,whichwillfocusonadvancedtextbooksand research-levelmonographs. Pasadena,California J. E. Marsden Providence,RhodeIsland L. Sirovich CollegePark,Maryland S. S. Antman Preface This book should serve as an undergraduate text to introduce students of s- ence and engineering to the fascinating ?eld of optimization. Several features have been united: conciseness and completeness, brevity and clarity, emphasis on the justi'cation of ideas and techniques and also on applications, etc. One of the novelties of the text is that it ties together ?elds that are often treated as separate. Indeed, it is hard to ?nd a single textbook where mathematical p- gramming, variational problems, and optimal control problems are explained and integrated as a unity. Thus, our readers may gain an overall view of all aspects of optimization. It is also true that each of the chapters is but a timid introduction to such broad subjects as linear programming, nonlinear programming, numerical op- mizationalgorithms,variationalproblems,dynamicprogramming,andoptimal control. As a primer in optimization, our aim with this text is no more than to provide a succinct introduction to those worlds, presented in a single resource reference. Thistextcannotanddoesnotpretendtosubstituteintheleastother vii viii Preface moreprofoundtextbooksonthosesub'eldsofoptimization. Readerswithsome experience in optimization seeking a more specialized source in some of those parts will have to look for other references. Real-world applications are also far from this introduction to the subject.