{"product_id":"fractional-and-multivariable-calculus-model-building-and-optimization","title":"Fractional and Multivariable Calculus: Model Building and Optimization","description":"\u003cp\u003eIn this review of Fractional and Multivariable Calculus: Model Building and Optimization Problems readers will find a mathematically rigorous textbook aimed at researchers and advanced students who need a modern treatment of fractional calculus and multivariable methods for constructing models. The single biggest reason to buy is its focus on applying fractional integrals, fractional derivatives and multivariable techniques directly to deterministic and nondeterministic model building and optimization problems, distilled from a series of SERC lecture courses.\u003c\/p\u003e\n\u003ch2\u003eKey Features\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eLecture-based exposition:\u003c\/strong\u003e Material is drawn from five SERC Schools, which gives the book a structured, classroom-tested progression useful for self-study or course adoption.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eFractional calculus foundation:\u003c\/strong\u003e The opening chapter explains fractional integrals and derivatives and shows how fractional differential equations are formulated and solved, providing tools for modeling anomalous dynamics.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eMultivariable methods:\u003c\/strong\u003e Coverage of multivariable calculus emphasizes techniques directly relevant to building and optimizing models across applied fields.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eInterdisciplinary orientation:\u003c\/strong\u003e Examples and motivation target mathematicians, statisticians, physicists, engineers and biological scientists seeking applicable modeling frameworks.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eResearch-level depth:\u003c\/strong\u003e The text is comprehensive enough to serve as a reference for researchers while remaining usable by advanced undergraduates and graduate students.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eWho It's For\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eIdeal readers\u003c\/strong\u003e include graduate students and researchers in mathematics, physics, engineering, statistics and mathematical biology who need a rigorous treatment of fractional calculus and multivariable optimization to build deterministic or nondeterministic models. The book is especially useful for those preparing to apply fractional differential equations in applied research.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eWho should look elsewhere\u003c\/strong\u003e are beginners seeking an elementary introduction without advanced prerequisites, or practitioners who want a brief applied handbook with many worked engineering examples rather than a lecture-style, theory-forward presentation.\u003c\/p\u003e\n\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eClear, lecture-tested organization makes it straightforward to follow as a course text or independent study resource.\u003c\/li\u003e\n\u003cli\u003eStrong, focused treatment of \u003cstrong\u003efractional differential equations\u003c\/strong\u003e that connects theory to model building.\u003c\/li\u003e\n\u003cli\u003eBroad applicability across disciplines supports cross-field modeling and optimization work.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003ePresentation is research-level and assumes substantial mathematical background, so it is not a gentle primer for novices.\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch2\u003eSpecifications\u003c\/h2\u003e\n\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eFractional and Multivariable Calculus: Model Building and Optimization Problems\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eSeries\u003c\/td\u003e\n\u003ctd\u003eSpringer Optimization and Its Applications, 122\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthors\u003c\/td\u003e\n\u003ctd\u003eA.M. Mathai, H.J. Haubold\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eScope\u003c\/td\u003e\n\u003ctd\u003eFractional calculus, multivariable calculus, model building, optimization\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAudience\u003c\/td\u003e\n\u003ctd\u003eResearchers, advanced undergraduates, graduate students\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eOrigin\u003c\/td\u003e\n\u003ctd\u003eBased on lectures at five SERC Schools (2008-2012)\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n\u003ch2\u003eOur Verdict\u003c\/h2\u003e\n\u003cp\u003eThis book is a strong, academically rigorous choice for readers who need a thorough theoretical foundation in \u003cstrong\u003efractional calculus\u003c\/strong\u003e and multivariable optimization for model building. It represents good value for advanced students and researchers who will use the methods in applied or theoretical projects, but casual readers or beginners should choose a more elementary introduction first.\u003c\/p\u003e\n\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\n\u003cp\u003e\u003cstrong\u003eDoes this book teach fractional differential equation solution methods?\u003c\/strong\u003e\u003cbr\u003eYes. The opening chapter introduces fractional integrals, fractional derivatives and methods for solving fractional differential equations.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eIs this suitable for undergraduate coursework?\u003c\/strong\u003e\u003cbr\u003eIt is suitable for advanced undergraduates with strong prerequisites, but it is primarily aimed at graduate students and researchers.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003eDoes the book include applied examples for other fields?\u003c\/strong\u003e\u003cbr\u003eYes. The text emphasizes interdisciplinary applications and model-building examples relevant to physics, engineering, statistics and biological sciences.\u003c\/p\u003e","brand":"A.M. Mathai, H.J. Haubold","offers":[{"title":"Default Title","offer_id":48178393612507,"sku":"3319867547","price":79.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/61FtgbK4VbL._SL1254.jpg?v=1769441553","url":"https:\/\/gearmusthave.com\/products\/fractional-and-multivariable-calculus-model-building-and-optimization","provider":"GearMustHave","version":"1.0","type":"link"}