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1. |
Record Nr. |
UNINA9910254071103321 |
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Autore |
Durrett Richard <1951-> |
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Titolo |
Essentials of Stochastic Processes / / by Richard Durrett |
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Pubbl/distr/stampa |
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Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
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ISBN |
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9783319456140 (ebook) |
9783319456133 (hbk.) |
9783319833316 (pbk.) |
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Edizione |
[3rd ed. 2016.] |
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Descrizione fisica |
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1 online resource (ix, 275 p.) : ill |
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Collana |
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Springer Texts in Statistics, , 2197-4136 |
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Disciplina |
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Soggetti |
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Statistics |
Probabilities |
Operations research |
Management science |
Population genetics |
Econometrics |
Statistical Theory and Methods |
Probability Theory |
Statistics in Business, Management, Economics, Finance, Insurance |
Operations Research, Management Science |
Population Genetics |
Quantitative Economics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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1) Markov Chains -- 2) Poisson Processes -- 3) Renewal Processes -- 4) Continuous Time Markov Chains -- 5) Martingales -- 6) Mathematical Finance -- 7) A Review of Probability. |
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Sommario/riassunto |
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Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, |
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and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance. • A concise treatment and textbook on the most important topics in Stochastic Processes • Illustrates all concepts with examples and presents more than 300 carefully chosen exercises for effective learning • New edition includes added and revised exercises, including many biological exercises, in addition to restructured and rewritten sections with a goal toward clarity and simplicity Richard Durrett received his Ph.D. in Operations Research from Stanford in 1976. He taught at the UCLA mathematics department for 9 years and at Cornell for 25 years before moving to Duke in 2010. He is author of 8 books and more than 200 journal articles and has supervised more that 45 Ph.D. students. He is a member of the National Academy of Science. Most of his current research concerns the applications of probability to biology: ecology, genetics, and cancer modeling. |
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2. |
Record Nr. |
UNINA9911019439603321 |
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Titolo |
Carbohydrate-based drug discovery / / Chi-Huey Wong (ed.) |
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Pubbl/distr/stampa |
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Weinheim ; ; [New York], : Wiley-VCH, c2003 |
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ISBN |
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9786610520725 |
9781280520723 |
1280520728 |
9783527605781 |
3527605789 |
9783527602438 |
3527602437 |
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Descrizione fisica |
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1 online resource (981 p.) |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Carbohydrate drugs |
Carbohydrates - Synthesis |
Glycoconjugates - Physiological effect |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Carbohydrate-based Drug Discovery; Contents; Preface; List of Contributors; Volume 1; 1 Synthetic Methodologies; 1.1 Introduction; 1.2 Tactical Analysis for Overall Synthetic Efficiency; 1.3 Methodological Improvements; 1.3.1 Chemistry; 1.3.2 Protecting Group Manipulations; 1.3.3 Modulation of the Reactivity of Glycosyl Donors; 1.3.4 Block Synthesis; 1.4 Accessibility; 1.4.1 Solution-based Chemistry; 1.4.2 One-Pot Glycosylation; 1.4.3 Solid-Phase Chemistry; 1.4.3.1 Fundamentals of Solid-Phase Oligosaccharide Synthesis; 1.4.3.2 The Support; 1.4.3.3 Linkers to the Support |
1.4.3.4 Protecting Groups used in Solid-Phase Oligosaccharide Synthesis1.4.3.5 Solid-Phase Oligosaccharide Synthesis; 1.4.3.6 Monitoring of Reaction Progress; 1.4.4 Automation; 1.5 Concluding Remarks; 1.6 References; 2 Complex Carbohydrate Synthesis; 2.1 Introduction; 2.2 Synthetic Gangliosides; 2.2.1 Gangliosides GM4 and GM3, and their Analogues and Derivatives; 2.2.2 Sialylparagloboside |
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(SPG) Analogues and Derivatives; 2.2.3 Selectin Ligands; 2.2.3.1 Sialyl Lewis x; 2.2.3.2 Novel 6-Sulfo sLe(x) Variants; 2.2.4 Siglec Ligands; 2.2.4.1 Chol-1 (α-Series) Gangliosides |
2.2.4.2 Novel Sulfated Gangliosides2.3 Toxin Receptor; 2.4 Summary and Perspectives; 2.5 References; 3 The Chemistry of Sialic Acid; 3.1 Introduction; 3.2 Chemical and Enzymatic Synthesis of Sialic Acids; 3.3 Chemical Glycosidation of Sialic Acids; 3.3.1 Direct Chemical Sialylations; 3.3.1.1 2-Chloro Derivatives as Glycosyl Donors; 3.3.1.2 2-Thio Derivatives as Glycosyl Donors; 3.3.1.3 2-Xanthates as Glycosyl Donors; 3.3.1.3 2-Phosphites as Glycosyl Donors; 3.3.1.4 Miscellaneous Direct Chemical Methods; 3.3.2 Indirect Chemical Methods with the Use of a Participating Auxiliary at C-3 |
4.3.2 Immobilization of the Glycosyl Donor4.3.3 Bi-directional Strategy; 4.4 Support Materials; 4.4.1 Insoluble Supports; 4.4.2 Soluble Supports; 4.5 Linkers; 4.5.1 Silyl Ethers; 4.5.2 Acid- and Base-Labile Linkers; 4.5.3 Thioglycoside Linkers; 4.5.4 Linkers Cleaved by Oxidation; 4.5.5 Photocleavable Linkers; 4.5.6 Linkers Cleaved by Olefin Metathesis; 4.6 Synthesis of Oligosaccharides on Solid Support by Use of Different Glycosylating Agents; 4.6.1 1,2-Anhydrosugars - The Glycal Assembly Approach; 4.6.2 Glycosyl Sulfoxides; 4.6.3 Glycosyl Trichloroacetimidates; 4.6.4 Thioglycosides |
4.6.5 Glycosyl Fluorides |
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Sommario/riassunto |
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To exploit the full potential of this diverse compound class for the development of novel active substances, this handbook presents the latest knowledge on carbohydrate chemistry and biochemistry. While it is unique in covering the entire field, particular emphasis is placed on carbohydrates with pharmaceutical potential.Topics include the following:> Chemical Synthesis of Carbohydrates> Carbohydrate Biosynthesis and Metabolism> Carbohydrate Analysis> Cellular Functions of Carbohydrates> Development of Carbohydrate-based DrugsA premier resource for carbohydrate chem |
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